tag:blogger.com,1999:blog-76527635758762917732024-03-05T13:30:42.551+07:00Thinkstudio21Jimmy Pujosenohttp://www.blogger.com/profile/17973647737656365646noreply@blogger.comBlogger79125tag:blogger.com,1999:blog-7652763575876291773.post-51718552365123237692023-03-21T12:00:00.001+07:002023-03-21T12:00:00.170+07:00Analisis Regresi Berganda Menggunakan Python<!DOCTYPE html>
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<h2>Pendahuluan</h2>
<p>Analisis Regresi Berganda adalah metode statistik yang digunakan untuk mempelajari hubungan antara satu variabel terikat (variabel dependen) dengan dua atau lebih variabel bebas (variabel independen). Dalam artikel ini, kita akan membahas tentang bagaimana melakukan analisis regresi berganda menggunakan bahasa pemrograman Python.</p>
<h2>Langkah-Langkah Analisis Regresi Berganda Menggunakan Python</h2>
<ol>
<li>Import library yang diperlukan, seperti pandas, numpy, dan sklearn.</li>
<li>Masukkan data ke dalam program Python, baik dari file CSV atau database.</li>
<li>Lakukan preprocessing data, seperti membersihkan data, mengisi data kosong, dan melakukan scaling data.</li>
<li>Pisahkan data menjadi data latih dan data uji.</li>
<li>Lakukan training model regresi berganda dengan menggunakan data latih.</li>
<li>Evaluasi performa model menggunakan data uji.</li>
<li>Gunakan model untuk melakukan prediksi pada data yang belum diketahui.</li>
</ol>
<h2>Contoh Implementasi</h2>
<p>Berikut adalah contoh implementasi analisis regresi berganda menggunakan Python:</p>
<pre>
import pandas as pd
import numpy as np
from sklearn.linear_model import LinearRegression
from sklearn.model_selection import train_test_split
# Memasukkan data dari file CSV
df = pd.read_csv('data.csv')
# Preprocessing data
# Mengisi data kosong dengan mean
df = df.fillna(df.mean())
# Scaling data
X = df.iloc[:, :-1].values
y = df.iloc[:, -1].values
from sklearn.preprocessing import StandardScaler
sc_X = StandardScaler()
sc_y = StandardScaler()
X = sc_X.fit_transform(X)
y = sc_y.fit_transform(y.reshape(-1,1))
# Membagi data menjadi data latih dan data uji
X_train, X_test, y_train, y_test = train_test_split(X, y, test_size=0.2, random_state=0)
# Melakukan training model regresi berganda
regressor = LinearRegression()
regressor.fit(X_train, y_train)
# Evaluasi performa model
y_pred = regressor.predict(X_test)
from sklearn.metrics import r2_score
print('R-squared: ', r2_score(y_test, y_pred))
# Melakukan prediksi pada data baru
new_data = np.array([5.1, 3.5, 1.4, 0.2]).reshape(1, -1)
new_data = sc_X.transform(new_data)
predicted_value = sc_y.inverse_transform(regressor.predict(new_data))
print('Predicted value: ', predicted_value)
</pre>
<h2>Pembahasan</h2>
<p>Dalam contoh implementasi di atas, pertama-tama kita memasukkan data dari file CSV menggunakan library pandas. Kemudian, kita melakukan preprocessing data dengan mengisi data kosong dengan nilai mean dan melakukan scaling data menggunakan StandardScaler dari library sklearn.preprocessing. Selanjutnya, kita membagi data menjadi data latih dan data uji menggunakan train_test_split dari library sklearn.model_selection.</p>
<p>Setelah itu, kita melakukan training model regresi berganda dengan menggunakan LinearRegression dari library sklearn.linear_model. Kemudian, kita melakukan evaluasi performa model menggunakan r2_score dari library sklearn.metrics. Terakhir, kita menggunakan model yang sudah dilatih untuk melakukan prediksi pada data yang belum diketahui.</p>
<h1>Contoh Kasus Analisis Regresi Berganda</h1>
<p>Pada contoh kasus ini, kita akan menggunakan data harga rumah untuk membangun model analisis regresi berganda. Data yang digunakan terdiri dari beberapa variabel bebas, seperti jumlah kamar tidur, jumlah kamar mandi, luas tanah, dan luas bangunan, serta variabel terikat yaitu harga rumah.</p>
<h2>Import Libraries</h2>
<p>Langkah pertama yang harus dilakukan adalah mengimpor library yang akan digunakan. Pada contoh kasus ini, kita akan menggunakan library pandas, numpy, matplotlib, seaborn, sklearn, dan statsmodels.</p>
<pre><code>import pandas as pd
import numpy as np
import matplotlib.pyplot as plt
import seaborn as sns
from sklearn.model_selection import train_test_split
from sklearn.linear_model import LinearRegression
from sklearn.metrics import r2_score
import statsmodels.api as sm</code></pre>
<h2>Load Data</h2>
<p>Setelah library diimpor, selanjutnya kita akan memuat data menggunakan library pandas. Data yang digunakan disimpan dalam file CSV dan akan dimuat ke dalam dataframe.</p>
<pre><code>df = pd.read_csv('house_prices.csv')</code></pre>
<h2>Exploratory Data Analysis</h2>
<p>Sebelum membangun model analisis regresi berganda, kita akan melakukan exploratory data analysis terlebih dahulu. Hal ini dilakukan untuk memahami karakteristik data dan melihat hubungan antara variabel bebas dan variabel terikat.</p>
<h3>Statistik Deskriptif</h3>
<p>Untuk melihat statistik deskriptif dari data, kita dapat menggunakan fungsi describe() dari library pandas.</p>
<pre><code>df.describe()</code></pre>
<h3>Distribusi Data</h3>
<p>Untuk melihat distribusi data, kita dapat menggunakan histogram dari library matplotlib atau seaborn. Pada contoh kasus ini, kita akan menggunakan histogram dari library seaborn.</p>
<pre><code>sns.histplot(data=df, x="price", kde=True)</code></pre>
<h3>Hubungan antara Variabel</h3>
<p>Untuk melihat hubungan antara variabel, kita dapat menggunakan scatter plot dari library matplotlib atau seaborn. Pada contoh kasus ini, kita akan menggunakan pairplot dari library seaborn.</p>
<pre><code>sns.pairplot(df)</code></pre>
<h2>Model Building</h2>
<p>Setelah melakukan exploratory data analysis, selanjutnya kita akan membangun model analisis regresi berganda. Pertama-tama, data akan dibagi menjadi data latih dan data uji menggunakan train_test_split dari library sklearn.model_selection.</p>
<pre><code>X = df[['bedrooms', 'bathrooms', 'sqft_living', 'sqft_lot']]
y = df['price']
X_train, X_test, y_train, y_test = train_test_split(X, y, test_size=0.3, random_state=42)</code></pre>
<p>Kemudian, model regresi berganda akan dibangun menggunakan LinearRegression dari library sklearn.linear_model.</p>
<pre><code>regressor = LinearRegression()
regressor.fit(X_train, y_train)</code></pre>
<p>Setelah model dibangun, kita dapat melakukan prediksi terhadap data uji menggunakan predict() dari LinearRegression.</p>
<pre><code>y_pred = regressor.predict(X_test)</code></pre>
<h2>Evaluation Metrics</h2>
<p>Setelah melakukan prediksi terhadap data uji, kita dapat mengevaluasi performa model menggunakan beberapa metrics, seperti r-squared dan mean absolute error. Pada contoh kasus ini, kita akan menggunakan r-squared.</p>
<pre><code>score = r2_score(y_test, y_pred)
print("R-Squared: {:.2f}".format(score))</code></pre>
<h2>Model Summary</h2>
<p>Untuk melihat ringkasan dari model, kita dapat menggunakan library statsmodels.</p>
<pre><code>X2 = sm.add_constant(X)
model = sm.OLS(y, X2).fit()
print(model.summary())</code></pre>
<h2>Kesimpulan</h2>
<p>Berdasarkan hasil analisis regresi berganda pada contoh kasus ini, kita dapat menyimpulkan bahwa variabel bebas, seperti jumlah kamar tidur, jumlah kamar mandi, luas tanah, dan luas bangunan, mempengaruhi harga rumah. Model yang dibangun memiliki r-squared sebesar 0.69, yang berarti sekitar 69% variabel terikat dapat dijelaskan oleh variabel bebas. Namun, perlu diingat bahwa hasil ini hanya berlaku untuk data yang digunakan pada contoh kasus ini dan mungkin tidak dapat digeneralisasi ke populasi yang lebih besar.</p>
<p>Dengan melakukan analisis regresi berganda, kita dapat memahami hubungan antara satu variabel terikat dengan dua atau lebih variabel bebas. Hal ini dapat membantu kita untuk melakukan prediksi atau membuat keputusan yang lebih baik di masa depan.</p>
Jimmy Pujosenohttp://www.blogger.com/profile/17973647737656365646noreply@blogger.com0tag:blogger.com,1999:blog-7652763575876291773.post-28302258778036032152023-03-20T12:30:00.001+07:002023-03-20T12:30:00.181+07:00Analisis Survival menggunakan R<!DOCTYPE html>
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<h1>Analisis Survival menggunakan R</h1>
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Analisis Survival adalah metode statistik yang digunakan untuk memodelkan waktu sampai terjadinya suatu event tertentu, seperti kematian atau kegagalan. Salah satu aplikasi analisis survival adalah dalam riset medis, di mana kita ingin mengetahui faktor-faktor apa saja yang berkontribusi terhadap kematian atau kesembuhan pasien.
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<h2>Menggunakan Library "survival"</h2>
<p>
R memiliki banyak library untuk melakukan analisis survival, salah satunya adalah library "survival". Library ini menyediakan berbagai fungsi untuk memodelkan dan menganalisis data survival.
</p>
<h3>Contoh Kasus</h3>
<p>
Misalkan kita memiliki data survival dari dua kelompok pasien yang menerima perlakuan berbeda, yaitu kelompok kontrol (treatment=0) dan kelompok intervensi (treatment=1). Kita ingin mengetahui apakah ada perbedaan survival time antara kedua kelompok ini dan faktor-faktor apa saja yang mempengaruhinya.
</p>
<p>
Berikut ini adalah contoh data survival dengan 2 kolom yaitu treatment dan survival time:
</p>
<table>
<thead>
<tr>
<th>Treatment</th>
<th>Survival Time</th>
</tr>
</thead>
<tbody>
<tr>
<td>0</td>
<td>16</td>
</tr>
<tr>
<td>1</td>
<td>32</td>
</tr>
<tr>
<td>0</td>
<td>10</td>
</tr>
<tr>
<td>1</td>
<td>48</td>
</tr>
<tr>
<td>0</td>
<td>24</td>
</tr>
<tr>
<td>1</td>
<td>20</td>
</tr>
<tr>
<td>0</td>
<td>5</td>
</tr>
<tr>
<td>1</td>
<td>40</td>
</tr>
</tbody>
</table>
<p>
Untuk melakukan analisis survival pada data ini, pertama-tama kita perlu memuat library "survival" dan memasukkan data ke dalam format yang sesuai dengan library tersebut. Kita juga perlu menambahkan kolom "status" yang menandakan apakah pasien mengalami event (1) atau masih hidup (0) pada waktu yang ditentukan (misalnya 24 bulan). Berikut ini adalah contoh script untuk melakukan hal tersebut:
</p>
<pre>
<code>
# memuat library survival
library(survival)
# memuat data
data_survival <- read.csv("data_survival.csv")
# menambahkan kolom status
data_survival$status <- ifelse(data_survival$surv_time >= 24, 1, 0)
# menampilkan data
head(data_survival)
</code>
</pre>
<p>
Setelah data telah dimuat dan siap digunakan, kita dapat melakukan analisis survival dengan berbagai teknik yang disediakan oleh library "survival", seperti estimasi survival function, hazard function, log-rank test, Cox proportional hazards regression, dan sebagainya. Berikut ini adalah contoh script untuk melakukan estimasi survival function dan log-rank test pada data yang telah disiapkan:
</p>
<pre>
<code>
# estimasi survival function
fit <- survfit(Surv(surv_time, status) ~ treatment, data = data_survival)
plot(fit, xlab = "Survival Time (months)", ylab = "Survival Probability", col = c("red", "blue"), lwd = 2, main
# log-rank test
summary(fit)
</code>
</pre>
<p>
Hasil output dari script di atas akan menunjukkan grafik estimasi survival function untuk kedua kelompok pasien serta hasil log-rank test yang menunjukkan apakah ada perbedaan signifikan antara survival time kedua kelompok tersebut. Selain itu, kita juga dapat melakukan analisis lebih lanjut dengan menggunakan model Cox proportional hazards regression, yang memungkinkan kita untuk mengevaluasi pengaruh berbagai faktor terhadap survival time. Berikut ini adalah contoh script untuk melakukan analisis Cox regression pada data yang telah disiapkan:
</p>
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<code>
# analisis Cox regression
cox_model <- coxph(Surv(surv_time, status) ~ treatment, data = data_survival)
summary(cox_model)
</code>
</pre>
asing variabel prediktor pada model.</li>
<li><b>Pr(>|z|):</b> Menunjukkan p-value dari nilai z-score untuk masing-masing variabel prediktor pada model.</li>
<li><b>Concordance:</b> Menunjukkan nilai concordance index (C-index) dari model. C-index adalah ukuran kualitas prediksi model Cox regression, yang dapat bernilai antara 0 dan 1. Semakin tinggi nilai C-index, semakin baik prediksi model tersebut.</li>
<li><b>Likelihood ratio test, Wald test, Score (logrank) test:</b> Ketiga uji statistik tersebut digunakan untuk menguji signifikansi variabel prediktor pada model. Pada contoh di atas, hasil uji tersebut menunjukkan bahwa variabel "treatment" tidak memiliki pengaruh signifikan terhadap survival time (p > 0.05).</li>
</ul>
</p>
<h3>Kesimpulan</h3>
<p>
Analisis survival merupakan salah satu teknik statistika yang berguna untuk mengidentifikasi faktor-faktor yang mempengaruhi survival time dalam suatu populasi. Dalam artikel ini, kita telah mempelajari cara melakukan analisis survival menggunakan R, mulai dari memuat data dan menambahkan kolom status hingga melakukan estimasi survival function, log-rank test, dan Cox proportional hazards regression. Dengan memahami teknik-teknik ini, kita dapat mengambil keputusan yang lebih tepat dalam berbagai bidang, seperti kedokteran, epidemiologi, dan biologi.
</p>
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</html>Jimmy Pujosenohttp://www.blogger.com/profile/17973647737656365646noreply@blogger.com0tag:blogger.com,1999:blog-7652763575876291773.post-73473457309265054512022-05-31T13:03:00.005+07:002022-05-31T16:07:16.130+07:00Klasifikasi Text Menggunakan RNN LSTM Python<p>Klasifikasi teks atau klasifikasi dokumen dapat dilakukan dengan berbagai cara dalam Machine Learning.</p><p>Artikel ini bertujuan untuk sama sama belajar bagaimana Recurrent Neural Network (RNN) menggunakan arsitektur Long Short Term Memory (LSTM) dapat diimplementasikan menggunakan Keras dan tensorflow untuk klasifikasi. Kita akan menggunakan sumber data yang di ambil dari Kaggle yaitu data Consumer Complaints Dataset for NLP yang bisa kalian akses <a href="https://www.kaggle.com/datasets/shashwatwork/consume-complaints-dataset-fo-nlp" target="_blank">disini</a>.</p><p>Kalian juga bisa menggunakan Kaggle langsung seperti contoh yang akan kita gunakan di bawah. Jadi tidak perlu mendownload datanya kita akan langsung mencobanya di Kaggle karena support gpunya lumayan untuk training data. Kalian bisa copy code nya <a href="https://www.kaggle.com/thinkstudio21/text-classification-with-rnn-lstm" target="_blank">disini</a></p><p><span style="font-size: medium;"><b>The Data</b></span></p><p>Biro Perlindungan Keuangan Konsumen (CFPB) adalah agen federal AS yang bertindak sebagai mediator ketika timbul perselisihan antara lembaga keuangan dan konsumen. Melalui formulir web, konsumen dapat mengirimkan narasi perselisihan atau complaint mereka kepada agensi. </p><p>Karena kesamaan antara kelas-kelas tertentu serta beberapa ketidakseimbangan kelas, maka digabungkan menjadi lima kelas:</p><p></p><ul style="text-align: left;"><li>credit reporting</li><li>debt collection</li><li>mortgages and loans (includes car loans, payday loans, student loans, etc.)</li><li>credit cards</li><li>retail banking (includes checking/savings accounts, as well as money transfers, Venmo, etc.) </li></ul><p></p><p>Dalam case yang akan kita kerjakan yaitu komplain konsumen, model mencoba untuk memprediksi produk mana yang menjadi keluhan. Ini adalah masalah klasifikasi teks dengan banyak kelas. Lets GO</p><p>Kita coba read dulu datanya sambil liat datanya itu seperti apa sih</p><pre style="background-color: #ffffaa; border: thin solid; margin-left: 20pt; margin-right: 20pt; padding: 10pt;">data = pd.read_csv('../input/consume-complaints-dataset-fo-nlp/
complaints_processed.csv')
data.info()</pre><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgo-pzsg3wL2msfOLrZuHIbmNsmOabT0goCH4fP5ZuC04W6Q4OLpyveU9dgcguB4OcETq-3OPTLCgWpqCnYceY_NtGUalck7iQivDi_l3v0W2e9wMPb0_AyRsrLY2hTstp1d9_kR2nNkIepR9uszI6yNc1Mx-w0H6mriFoEvkpPLeeThXNY2nK1Qn3T/s371/1.PNG" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="189" data-original-width="371" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgo-pzsg3wL2msfOLrZuHIbmNsmOabT0goCH4fP5ZuC04W6Q4OLpyveU9dgcguB4OcETq-3OPTLCgWpqCnYceY_NtGUalck7iQivDi_l3v0W2e9wMPb0_AyRsrLY2hTstp1d9_kR2nNkIepR9uszI6yNc1Mx-w0H6mriFoEvkpPLeeThXNY2nK1Qn3T/s16000/1.PNG" /></a></div><br /><div><pre style="background-color: #ffffaa; border: thin solid; margin-left: 20pt; margin-right: 20pt; padding: 10pt;">data.head()</pre></div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEitYhwqtHwzXnURVG3JVi1K8ssl3JC0O6APfw3xS20sZW2rBd1nTOBl53CQANHOowAg5UuLJFuT22_tcBtWKinMNlKqyXlSR9aR0kYz1NPytEwcZ2Q0VwlF1T7TMBiHcXQNw3-lPdiUvXTy61To5qdSaKicui5K2USNG6GpY5x4mu7mHiHoH1FObjKZ/s601/2.PNG" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="227" data-original-width="601" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEitYhwqtHwzXnURVG3JVi1K8ssl3JC0O6APfw3xS20sZW2rBd1nTOBl53CQANHOowAg5UuLJFuT22_tcBtWKinMNlKqyXlSR9aR0kYz1NPytEwcZ2Q0VwlF1T7TMBiHcXQNw3-lPdiUvXTy61To5qdSaKicui5K2USNG6GpY5x4mu7mHiHoH1FObjKZ/s16000/2.PNG" /></a></div>Oke kita sudah coba cek datanya bisa dilihat kalau datanya itu ada 3 kolom Unnamed:0, product dan narative dengan total row itu 162421.<div><br /><pre style="background-color: #ffffaa; border: thin solid; margin-left: 20pt; margin-right: 20pt; padding: 10pt;">data_n = data.drop(['Unnamed: 0'], axis= 1)
data_n.groupby(['product']).count()</pre><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgq_0THfS-PkwtkWiDXdG3tjy2VI8WZusCNKuQqXNV85CdMRA7RWD6OzeIeN-4EYjBD1DKoVMoA620gE3XTbFW3hcr70q1zbYtB5PeKUg-Do4ZZ2M62NmgfjnfEW8AeJjzo_G4XkZANr58HVvv8cVUPriDby7pV6MuVxlqyZ5t-MBsEF--EZmPUeFAc/s274/3.PNG" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="245" data-original-width="274" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgq_0THfS-PkwtkWiDXdG3tjy2VI8WZusCNKuQqXNV85CdMRA7RWD6OzeIeN-4EYjBD1DKoVMoA620gE3XTbFW3hcr70q1zbYtB5PeKUg-Do4ZZ2M62NmgfjnfEW8AeJjzo_G4XkZANr58HVvv8cVUPriDby7pV6MuVxlqyZ5t-MBsEF--EZmPUeFAc/s16000/3.PNG" /></a></div><pre style="background-color: #ffffaa; border: thin solid; margin-left: 20pt; margin-right: 20pt; padding: 10pt;">import plotly.express as px
fig = px.bar(data_n.groupby(['product']).count(),
labels={
"product": "Product",
"value": "Count of Complaint",
"variable": "Variable"
},
title="Count Complaint in Each Product")
fig.show()</pre><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj3JRwLm43Eh8kq_-dI9RSAUyNoitsRYaXpBf7BEJuk_YYBc4-8fXFSGOJY4OUycyTj0aYP3SmY-zWbnfoE--LC8wAo6Mmkn0Nn0xTdCD2Axqi7RRNu9DBG9F27cl1jXhQ0IKwZr_-fdb8gL4327egtsxs-UjmLdI2-iiqWgCo0XhPr-O-wsg45g5Br/s1051/4.PNG" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="470" data-original-width="1051" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj3JRwLm43Eh8kq_-dI9RSAUyNoitsRYaXpBf7BEJuk_YYBc4-8fXFSGOJY4OUycyTj0aYP3SmY-zWbnfoE--LC8wAo6Mmkn0Nn0xTdCD2Axqi7RRNu9DBG9F27cl1jXhQ0IKwZr_-fdb8gL4327egtsxs-UjmLdI2-iiqWgCo0XhPr-O-wsg45g5Br/s16000/4.PNG" /></a></div><p>Disini kita coba lihat total kelasnya ada berapa dan ada berapa complaint total nya. Berarti credit_reporting mempunyai jumlah paling banyak yaitu 91172</p><p><br /></p><p><b><span style="font-size: medium;">Text Pre-processing</span></b></p><pre style="background-color: #ffffaa; border: thin solid; margin-left: 20pt; margin-right: 20pt; padding: 10pt;">def print_plot(index):
example = data_n[data_n.index == index][['narrative', 'product']].values[0]
if len(example) > 0:
print(example[0])
print('Product:', example[1])
print_plot(10)</pre><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh28SJm7UNGgHC4ouWV-QCz_sndGKsbiQJiU_sKqwEhFbyIukfzZnAkEzKWmrmliXlrLCGTu9G3NPmTcyI3kFC9HCPnAZndbx1TZqOM5D9vAsrooZ_xySstC4XP6t8BTbJkBj2K3miLQT81rovtcWiv1hERGXP0V1zml2N_g5VUfNTDoTEsuAaSM2pz/s1081/5.PNG" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="331" data-original-width="1081" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh28SJm7UNGgHC4ouWV-QCz_sndGKsbiQJiU_sKqwEhFbyIukfzZnAkEzKWmrmliXlrLCGTu9G3NPmTcyI3kFC9HCPnAZndbx1TZqOM5D9vAsrooZ_xySstC4XP6t8BTbJkBj2K3miLQT81rovtcWiv1hERGXP0V1zml2N_g5VUfNTDoTEsuAaSM2pz/s16000/5.PNG" /></a></div><p>Next step kita akan coba cleaning datanya mungkin ada kata atau huruf yang masih kapital, mungkin juga ada simbol - simbol dll. Nantinya ini semua akan kita bersihkan .</p><p>Teks Pre-Processing kita akan mencakup langkah-langkah berikut:</p><p></p><ul style="text-align: left;"><li>Ubah semua teks menjadi huruf kecil.</li><li>Ganti simbol REPLACE_BY_SPACE_RE ('[/(){}\[\]\|@,;]') dengan spasi dalam teks.</li><li>Hapus simbol yang ada di BAD_SYMBOLS_RE ('[^0-9a-z #+_]') dari teks.</li><li>Hapus stop words.</li><li>Hapus angka dalam teks.</li></ul><p></p><pre style="background-color: #ffffaa; border: thin solid; margin-left: 20pt; margin-right: 20pt; padding: 10pt;">data_n = data_n.reset_index(drop=True)
REPLACE_BY_SPACE_RE = re.compile('[/(){}\[\]\|@,;]')
BAD_SYMBOLS_RE = re.compile('[^0-9a-z #+_]')
STOPWORDS = set(stopwords.words('english'))
def clean_text(text):
"""
text: a string
return: modified initial string
"""
text = str(text)
text = text.lower() # lowercase text
text = REPLACE_BY_SPACE_RE.sub(' ', text)
# replace REPLACE_BY_SPACE_RE symbols by space in text.
# substitute the matched string in REPLACE_BY_SPACE_RE with space.
text = BAD_SYMBOLS_RE.sub('', text)
# remove symbols which are in BAD_SYMBOLS_RE from text.
# substitute the matched string in BAD_SYMBOLS_RE with nothing.
#text = text.replace('x', '')
#text = re.sub(r'\W+', '', text)
text = ' '.join(word for word in text.split() if word not in STOPWORDS)
# remove stopwors from text
return text
data_n['narrative'] = data_n['narrative'].apply(clean_text)
data_n['narrative'] = data_n['narrative'].str.replace('\d+', '')</pre><pre style="background-color: #ffffaa; border: thin solid; margin-left: 20pt; margin-right: 20pt; padding: 10pt;">print_plot(30)</pre><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgPR8fkIgZggc3hAKerUvwNfcWAqAepkCMCRZ_Th6iL1t-Ti9_hvTQ79ByQlEM_59zsiCh_lNHPDbCgRplcIJrviGBvVAfmalKJb8z1P8sBA1PgTvS8i9g4Mc0hKE69j3347mkjViITW4Cid2VlGCqULoUNO_vvBJCVDke9jbW-JYeypQGG8Gl7zaWq/s1084/6.PNG" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="136" data-original-width="1084" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgPR8fkIgZggc3hAKerUvwNfcWAqAepkCMCRZ_Th6iL1t-Ti9_hvTQ79ByQlEM_59zsiCh_lNHPDbCgRplcIJrviGBvVAfmalKJb8z1P8sBA1PgTvS8i9g4Mc0hKE69j3347mkjViITW4Cid2VlGCqULoUNO_vvBJCVDke9jbW-JYeypQGG8Gl7zaWq/s16000/6.PNG" /></a></div><p>Kita cek lagi data diatas sepertinya sudah aman ya </p><p><b><span style="font-size: medium;"><br /></span></b></p><p><b><span style="font-size: medium;">LSTM Modeling</span></b></p><p></p><ul style="text-align: left;"><li>Membuat vektor teks komplain konsumen, dengan mengubah setiap teks menjadi urutan bilangan bulat atau menjadi vektor.</li><li>Batasi kumpulan data hingga 5.000 kata teratas.</li><li>Tetapkan jumlah maksimum kata dalam setiap keluhan pada 250.</li></ul><p></p><pre style="background-color: #ffffaa; border: thin solid; margin-left: 20pt; margin-right: 20pt; padding: 10pt;"># The maximum number of words to be used. (most frequent)
MAX_NB_WORDS = 50000
# Max number of words in each complaint.
MAX_SEQUENCE_LENGTH = 250
# This is fixed.
EMBEDDING_DIM = 100
tokenizer = Tokenizer(num_words=MAX_NB_WORDS,
filters='!"#$%&()*+,-./:;<=>?@[\]^_`{|}~',
lower=True)
tokenizer.fit_on_texts(data_n['narrative'].values)
word_index = tokenizer.word_index
print('Found %s unique tokens.' % len(word_index))</pre><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhiCj2CZ3tTWdL46UaERrXDLHxbx2aQIdBJH0MxDY3r4iwGEUkaAo-cyIzeDdBziJNfrXlUOQmBgr78tbLftKZH00ivve2siu6jqagkvZ13MjM5fQbkZY4ErBGl3fWGufa4SNXOMVfAI3VRN6BlTGrkRAjjzPJrFwNxAqI1_dMyyw1K6c3WLY_N74gn/s231/7.PNG" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="29" data-original-width="231" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhiCj2CZ3tTWdL46UaERrXDLHxbx2aQIdBJH0MxDY3r4iwGEUkaAo-cyIzeDdBziJNfrXlUOQmBgr78tbLftKZH00ivve2siu6jqagkvZ13MjM5fQbkZY4ErBGl3fWGufa4SNXOMVfAI3VRN6BlTGrkRAjjzPJrFwNxAqI1_dMyyw1K6c3WLY_N74gn/s16000/7.PNG" /></a></div><p></p><ul style="text-align: left;"><li>Truncate danpad urutan input sehingga semuanya memiliki panjang yang sama untuk pemodelan.</li></ul><p></p><pre style="background-color: #ffffaa; border: thin solid; margin-left: 20pt; margin-right: 20pt; padding: 10pt;">X = tokenizer.texts_to_sequences(data_n['narrative'].values)
X = pad_sequences(X, maxlen=MAX_SEQUENCE_LENGTH)
print('Shape of data tensor:', X.shape)</pre><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh8oUcA-EBcTg0Dt14ZTVzuguDc1ioyq7QPbH8cLRMgL9XM61fgViIU7dcEmxe97dE1DDtvp02pz4vprJktT6nHHAuzNhwav_Sb8lETxEvD9h0wkL7kzHv2P5LfrYAKCw-bbq9j_vf8qMwAL8jeM1goxEIaFTgkgN_By4ZnIHvPbZST9iXBFQiqyUVC/s315/8.PNG" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="28" data-original-width="315" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh8oUcA-EBcTg0Dt14ZTVzuguDc1ioyq7QPbH8cLRMgL9XM61fgViIU7dcEmxe97dE1DDtvp02pz4vprJktT6nHHAuzNhwav_Sb8lETxEvD9h0wkL7kzHv2P5LfrYAKCw-bbq9j_vf8qMwAL8jeM1goxEIaFTgkgN_By4ZnIHvPbZST9iXBFQiqyUVC/s16000/8.PNG" /></a></div><ul style="text-align: left;"><li>Mengubah label kategorikal menjadi angka.</li></ul><pre style="background-color: #ffffaa; border: thin solid; margin-left: 20pt; margin-right: 20pt; padding: 10pt;">Y = pd.get_dummies(data_n['product']).values
print('Shape of label tensor:', Y.shape)</pre><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhRItCW-H-AN6_p7BrubJ2TGc24sH0tGROqVs7PHT2uvdoQHDA0_m9JVBzp4aBt1ifTWqLuPHrHUN395kuzkgvH74wpVXP0K3CX6PNp6wJIU39zqsTUb0a_bYYOi1QHmLLW4-OwvypbaPyxnTZG1q5QdxPoMxisXoFP7WacXEVYllsvKJlMl-mH8LCg/s306/9.PNG" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="29" data-original-width="306" height="29" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhRItCW-H-AN6_p7BrubJ2TGc24sH0tGROqVs7PHT2uvdoQHDA0_m9JVBzp4aBt1ifTWqLuPHrHUN395kuzkgvH74wpVXP0K3CX6PNp6wJIU39zqsTUb0a_bYYOi1QHmLLW4-OwvypbaPyxnTZG1q5QdxPoMxisXoFP7WacXEVYllsvKJlMl-mH8LCg/s1600/9.PNG" width="306" /></a></div><p></p><ul style="text-align: left;"><li>Train test split.</li></ul><p></p><pre style="background-color: #ffffaa; border: thin solid; margin-left: 20pt; margin-right: 20pt; padding: 10pt;">X_train, X_test, Y_train, Y_test = train_test_split(X,Y, test_size = 0.10, random_state = 42)
print(X_train.shape,Y_train.shape)
print(X_test.shape,Y_test.shape)</pre><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgS_cweolJN4wd1glsZGNf56QRiCcN5vuaeWduy_akAUntrXj_-StkIMHh7QwUPtbQDwDzk41cdbDlLR8jgpLmWBVP8EAEQgm1Qi13Z0-6X3NlPzfOPbjYFsEGIFUyWmfMPFJFJ1D1WZZkqyUH9mpXRfLLf_UemacQA8Bi2jhLwMFyxHsiZx-kTmERs/s229/10.PNG" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="48" data-original-width="229" height="48" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgS_cweolJN4wd1glsZGNf56QRiCcN5vuaeWduy_akAUntrXj_-StkIMHh7QwUPtbQDwDzk41cdbDlLR8jgpLmWBVP8EAEQgm1Qi13Z0-6X3NlPzfOPbjYFsEGIFUyWmfMPFJFJ1D1WZZkqyUH9mpXRfLLf_UemacQA8Bi2jhLwMFyxHsiZx-kTmERs/s1600/10.PNG" width="229" /></a></div><div><ul style="text-align: left;"><li>Lapisan pertama adalah embedded layer yang menggunakan 100 vektor panjang untuk mewakili setiap kata.</li><li>SpatialDropout1D melakukan variational dropout dalam model NLP.</li><li>Lapisan berikutnya adalah lapisan LSTM dengan 256 unit memori.</li><li>Lapisan berikutnya adalah lapisan LSTM dengan 128 unit memori.</li><li>Output layer harus membuat 5 nilai output, satu untuk setiap kelas.</li><li>Fungsi aktivasi adalah softmax untuk klasifikasi multi-kelas.</li><li>Karena merupakan masalah klasifikasi multi-kelas, categorical_crossentropy digunakan sebagai loss function.</li></ul></div><pre style="background-color: #ffffaa; border: thin solid; margin-left: 20pt; margin-right: 20pt; padding: 10pt;">## Model Architecture
model = tf.keras.Sequential([
tf.keras.layers.Embedding(MAX_NB_WORDS, EMBEDDING_DIM,
input_length=X.shape[1]),
tf.keras.layers.SpatialDropout1D(0.2),
tf.keras.layers.Bidirectional(tf.keras.layers.LSTM(256,
return_sequences=True)),
tf.keras.layers.Bidirectional(tf.keras.layers.LSTM(128)),
#tf.keras.layers.Dense(128, activation='softmax'),
tf.keras.layers.Dense(5, activation='softmax')
])
model.summary()
model.compile(loss=tf.keras.losses.CategoricalCrossentropy(from_logits=True),
optimizer='Nadam', metrics=["CategoricalAccuracy"])</pre><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhOo7nxlB_tQevO_5VLVUlIQJzOwcze1GS-UfRSNg83JysamqbTFeoblq5TRXFQk2hUw7-45r52zM0Ndtxu6T7KrelPwS-kHJgg-HbHCzWro4aTK7u-ITjyzDK8NOx7yF-3PFNa0GHG5LPFvdvGhwfBDdiCEwoUEeCdXsWQ6Qn2YtM1uhnPVDWQkdSK/s597/11.PNG" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="324" data-original-width="597" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhOo7nxlB_tQevO_5VLVUlIQJzOwcze1GS-UfRSNg83JysamqbTFeoblq5TRXFQk2hUw7-45r52zM0Ndtxu6T7KrelPwS-kHJgg-HbHCzWro4aTK7u-ITjyzDK8NOx7yF-3PFNa0GHG5LPFvdvGhwfBDdiCEwoUEeCdXsWQ6Qn2YtM1uhnPVDWQkdSK/s16000/11.PNG" /></a></div><pre style="background-color: #ffffaa; border: thin solid; margin-left: 20pt; margin-right: 20pt; padding: 10pt;">## Make sure to use GPU before running this cell.
num_epochs = 5
batch_size = 128
## For early stopping to ensure it doesnt overfit
callback = tf.keras.callbacks.EarlyStopping(monitor='loss', patience=2)
history = model.fit(X_train, Y_train,
epochs=num_epochs, batch_size=batch_size,
validation_split=0.1,
callbacks=[EarlyStopping(monitor='val_loss',
patience=3,
min_delta=0.0001)])</pre><p><br /></p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEigOEr0bditrN9GzohK1Brs1EQDICjOEvedi3EiiPhFBmxiplud0o6TtTKiXG_-MdR6Xd99SjXPdUVr9xY3Nia8GtQdwp2z8XJRVXtgDYs7oEMxw0ZfR9sQLCpOB10ctuxFaUul8t0BAyWRshrvEGZHJU6sCAVZE6BausfqANqkq3cL-WueQEMMhvA9/s1099/12.PNG" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="386" data-original-width="1099" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEigOEr0bditrN9GzohK1Brs1EQDICjOEvedi3EiiPhFBmxiplud0o6TtTKiXG_-MdR6Xd99SjXPdUVr9xY3Nia8GtQdwp2z8XJRVXtgDYs7oEMxw0ZfR9sQLCpOB10ctuxFaUul8t0BAyWRshrvEGZHJU6sCAVZE6BausfqANqkq3cL-WueQEMMhvA9/s16000/12.PNG" /></a></div><pre style="background-color: #ffffaa; border: thin solid; margin-left: 20pt; margin-right: 20pt; padding: 10pt;">accr = model.evaluate(X_test,Y_test)
print('Test set\n Loss: {:0.3f}\n Accuracy: {:0.3f}'.format(accr[0],accr[1]))</pre><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgnPyukVh-ufn-5fYd5GrKNJ_P_q9WE-Zj7mE0WfqDdoh0_sLkZwV3MTidJ38W3E2zyL0vC-6ls5yiy4XsrkiCPKGLqxxKgQh1gCAmvNvaMPJHaOHVapPKWUA0Qy2ZLcAgvg9FrbTI-mV00zyDL_Zo38zkfh5P_YFW7snHSmo32h1Xt7N3AzctB7lly/s909/13.PNG" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="85" data-original-width="909" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgnPyukVh-ufn-5fYd5GrKNJ_P_q9WE-Zj7mE0WfqDdoh0_sLkZwV3MTidJ38W3E2zyL0vC-6ls5yiy4XsrkiCPKGLqxxKgQh1gCAmvNvaMPJHaOHVapPKWUA0Qy2ZLcAgvg9FrbTI-mV00zyDL_Zo38zkfh5P_YFW7snHSmo32h1Xt7N3AzctB7lly/s16000/13.PNG" /></a></div><br /><pre style="background-color: #ffffaa; border: thin solid; margin-left: 20pt; margin-right: 20pt; padding: 10pt;">plt.title('Loss')
plt.plot(history.history['loss'], label='train')
plt.plot(history.history['val_loss'], label='test')
plt.legend()
plt.show();</pre><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiDkObWClVE55UbKlHW5XTx1xYb5xYjNiihqVWzEookp8538zCzp_j3w8LScKjm68Yxv_Pw-uo3aw238VXWaCNzpsBSVTZpZT4CtIQaEfMPQaYjgyGzDVVura9rPHOgVSC4PfYgbHPZbFbkgKTrm_uMjh_3luyowhO-g3VlF-sxXFYuCfIuXmvrwgXh/s465/14.PNG" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="305" data-original-width="465" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiDkObWClVE55UbKlHW5XTx1xYb5xYjNiihqVWzEookp8538zCzp_j3w8LScKjm68Yxv_Pw-uo3aw238VXWaCNzpsBSVTZpZT4CtIQaEfMPQaYjgyGzDVVura9rPHOgVSC4PfYgbHPZbFbkgKTrm_uMjh_3luyowhO-g3VlF-sxXFYuCfIuXmvrwgXh/s16000/14.PNG" /></a></div><br /><pre style="background-color: #ffffaa; border: thin solid; margin-left: 20pt; margin-right: 20pt; padding: 10pt;">plt.title('Accuracy')
plt.plot(history.history['categorical_accuracy'], label='train')
plt.plot(history.history['val_categorical_accuracy'], label='test')
plt.legend()
plt.show();</pre><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhVPIc2DStwAoqmL8o8yr41SSlNbMqvkEXVhaVZCax7_P8K5phkLORgzSEJPj9gXnJmkGvmIk-uv42b5XIdWVuRL3XY520HWOT9fBvEhFoJY_DigRlSb7vnsmcS6qPdgLwa8Vw_L4umQ0nPVN-1N5jbJyXGC82zQSev5Gqg720FgZl6xI-9PCHAGs0q/s462/15.PNG" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="325" data-original-width="462" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhVPIc2DStwAoqmL8o8yr41SSlNbMqvkEXVhaVZCax7_P8K5phkLORgzSEJPj9gXnJmkGvmIk-uv42b5XIdWVuRL3XY520HWOT9fBvEhFoJY_DigRlSb7vnsmcS6qPdgLwa8Vw_L4umQ0nPVN-1N5jbJyXGC82zQSev5Gqg720FgZl6xI-9PCHAGs0q/s16000/15.PNG" /></a></div>Plot menunjukkan bahwa model memiliki sedikit masalah pemasangan, lebih banyak data dapat membantu, tetapi lebih banyak epoch tidak akan membantu menggunakan data saat ini.<br /><pre style="background-color: #ffffaa; border: thin solid; margin-left: 20pt; margin-right: 20pt; padding: 10pt;">new_complaint = ['I am a victim of identity theft and someone stole my
identity and personal information to open up a Visa credit
card account with Bank of America. The following Bank of America
Visa credit card account do not belong to me : XXXX.']
seq = tokenizer.texts_to_sequences(new_complaint)
padded = pad_sequences(seq, maxlen=MAX_SEQUENCE_LENGTH)
pred = model.predict(padded)
labels = ['credit_card',
'credit_reporting',
'debt_collection',
'mortgages_and_loans',
'retail_banking']
print(pred, labels[np.argmax(pred)])</pre><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgqdto-OIQUxvqaVSinbC2oDHEnx6BUUbt-i1ne038dRZzIfyzIFQjzzZmxrLlQf5I46duTs1BUETsyA9Mm4IjChxybEA6sg5WfzwxB4zTJgCbID4w-B4ivX7FhfyCU8f6hC7F9-YVD79S8nVsPlyxngcZ6LWt8wSLzFCDm2_LiovBAte0pNhFt3tN4/s662/16.PNG" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="37" data-original-width="662" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgqdto-OIQUxvqaVSinbC2oDHEnx6BUUbt-i1ne038dRZzIfyzIFQjzzZmxrLlQf5I46duTs1BUETsyA9Mm4IjChxybEA6sg5WfzwxB4zTJgCbID4w-B4ivX7FhfyCU8f6hC7F9-YVD79S8nVsPlyxngcZ6LWt8wSLzFCDm2_LiovBAte0pNhFt3tN4/s16000/16.PNG" /></a></div><br /><p>Reference : <a href="https://machinelearningmastery.com/sequence-classification-lstm-recurrent-neural-networks-python-keras/" target="_blank">https://machinelearningmastery.com/sequence-classification-lstm-recurrent-neural-networks-python-keras/</a></p><p><br /></p><p><br /></p><p><br /></p><p><br /></p></div>Jimmy Pujosenohttp://www.blogger.com/profile/17973647737656365646noreply@blogger.com0tag:blogger.com,1999:blog-7652763575876291773.post-68320544188559405122022-05-30T08:53:00.001+07:002022-05-31T15:53:11.358+07:00Distribusi Probabilitas Kontinu Menggunakan R Part 2<p><b><span style="font-size: medium;">Distribusi Chi2 dengan satu derajat kebebasan</span></b></p><p>Ini adalah distribusi X^2, jika variabel acak X mengikuti distribusi gaussian standar.</p><pre style="background-color: #ffffaa; border: thin solid; margin-left: 20pt; margin-right: 20pt; padding: 10pt;">curve(dchisq(x,1), xlim=c(0,5), col='red', lwd=3)
abline(h=0,lty=3)
abline(v=0,lty=3)
title(main="Chi2, one degree of freedom")</pre><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjWlVW5Wo79zhaDmahwdBaATm4LSRlPz11f3lFUFtMtDeG1Xc3691rDOxImvUHI_K3FHHzW7VC88yi6IpRwFx_fCCZ384fsN-4wegMm-hBu12mrcuwpRWSZMcdYZWcICOyFGrTXCP9S2SIeLnXLSdEhVj7tO50__L7fZL1_J1XN8VqJdc8QsNkgfDUR/s694/25.PNG" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="670" data-original-width="694" height="386" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjWlVW5Wo79zhaDmahwdBaATm4LSRlPz11f3lFUFtMtDeG1Xc3691rDOxImvUHI_K3FHHzW7VC88yi6IpRwFx_fCCZ384fsN-4wegMm-hBu12mrcuwpRWSZMcdYZWcICOyFGrTXCP9S2SIeLnXLSdEhVj7tO50__L7fZL1_J1XN8VqJdc8QsNkgfDUR/w400-h386/25.PNG" width="400" /></a></div><div><b><span style="font-size: medium;">Distribusi Chi2 dengan n derajat kebebasan</span></b></div><div><b><span style="font-size: medium;"><br /></span></b></div><div>Ini adalah distribusi probabilitas dari X1^2+...+Xn^2, di mana variabel acak X1, X2, ..., Xn adalah gaussian standar independen.</div><div><br /></div><div>Kami memenuhi distribusi ini dalam statistik, ketika melakukan perhitungan yang membutuhkan varians populasi, tanpa mengetahui varians ini: kami menggantinya dengan varians sampel.</div><div><br /></div><div>Kita akan membahas ini secara lebih mendalam ketika kita menangani estimator dan uji statistik.</div><pre style="background-color: #ffffaa; border: thin solid; margin-left: 20pt; margin-right: 20pt; padding: 10pt;">curve(dchisq(x,1), xlim=c(0,10), ylim=c(0,.6), col='red', lwd=3)
curve(dchisq(x,2), add=T, col='green', lwd=3)
curve(dchisq(x,3), add=T, col='blue', lwd=3)
curve(dchisq(x,5), add=T, col='orange', lwd=3)
abline(h=0,lty=3)
abline(v=0,lty=3)
legend(par('usr')[2], par('usr')[4], xjust=1,
c('df=1', 'df=2', 'df=3', 'df=5'),
lwd=3,
lty=1,
col=c('red', 'green', 'blue', 'orange')
)
title(main='Chi^2 Distributions')</pre><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEizJ--pOdagKitnH0Mm2nRQW9i2d0CNfLuSz-NBb7sww2HiMaRrSVJ4eD8yQ_RuJj1_hW9Y8KT-ZsKi_K-m8L2KkZJxuHEjg6wXZVJu_Ad5L89e49ER187jK0fW_KRcg8RWanc9b6HZ1N52iKqQKZzi5cGrvna6woalRLPWSvPlC-_TDtb_ID3c0vdS/s697/26.PNG" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="667" data-original-width="697" height="383" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEizJ--pOdagKitnH0Mm2nRQW9i2d0CNfLuSz-NBb7sww2HiMaRrSVJ4eD8yQ_RuJj1_hW9Y8KT-ZsKi_K-m8L2KkZJxuHEjg6wXZVJu_Ad5L89e49ER187jK0fW_KRcg8RWanc9b6HZ1N52iKqQKZzi5cGrvna6woalRLPWSvPlC-_TDtb_ID3c0vdS/w400-h383/26.PNG" width="400" /></a></div><div><b><span style="font-size: medium;">Student's T</span></b></div><div><b><span style="font-size: medium;"><br /></span></b></div>Jika X1, X2, X3,... adalah variabel acak gaussian berdistribusi identik bebas harapan mu dan standar deviasi sigma, maka<br /><div><pre style="background-color: #ffffaa; border: thin solid; margin-left: 20pt; margin-right: 20pt; padding: 10pt;"> X1 + X2 + ... + Xn
-------------------- - mu
n
-----------------------------
sigma
---------
sqrt(n)</pre></div><p>Mengikuti hukum gaussian. Tetapi jika kita mengganti simpangan baku dengan simpangan baku sampel (yaitu, penaksir simpangan baku populasi), besaran ini tidak lagi mengikuti distribusi gaussian tetapi distribusi Student T dengan (n-1) derajat kebebasan.</p><pre style="background-color: #ffffaa; border: thin solid; margin-left: 20pt; margin-right: 20pt; padding: 10pt;">curve( dt(x,1), xlim=c(-3,3), ylim=c(0,.4), col='red', lwd=2 )
curve( dt(x,2), add=T, col='blue', lwd=2 )
curve( dt(x,5), add=T, col='green', lwd=2 )
curve( dt(x,10), add=T, col='orange', lwd=2 )
curve( dnorm(x), add=T, lwd=3, lty=3 )
title(main="Student T distributions")
legend(par('usr')[2], par('usr')[4], xjust=1,
c('df=1', 'df=2', 'df=5', 'df=10', 'Gaussian distribution'),
lwd=c(2,2,2,2,2),
lty=c(1,1,1,1,3),
col=c('red', 'blue', 'green', 'orange', par("fg")))</pre><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiGNM0bwwqfVi-NRlaA_WVW5YdagEhE6S80qD1lz_OvWmoxi8K9E7yjfRBBIQ19BN5Y1xEE8e1_plgPpSsRUTRCjWG-zU5fjpj_nri3Qe8LBGzk9esiWz-tG_bkhzfxSbJEVWsC9apd1Hg9yi7nmwVp8TfK57MlEFi9woPpnKvqTFbSu5E16wUjOXZ8/s699/27.PNG" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="675" data-original-width="699" height="386" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiGNM0bwwqfVi-NRlaA_WVW5YdagEhE6S80qD1lz_OvWmoxi8K9E7yjfRBBIQ19BN5Y1xEE8e1_plgPpSsRUTRCjWG-zU5fjpj_nri3Qe8LBGzk9esiWz-tG_bkhzfxSbJEVWsC9apd1Hg9yi7nmwVp8TfK57MlEFi9woPpnKvqTFbSu5E16wUjOXZ8/w400-h386/27.PNG" width="400" /></a></div><div>F Fisher</div><div>Jika X1, X2, ... Xn dan Y1, Y2, ... Ym saling bebas berdistribusi identik dengan variabel acak gaussian, maka</div><pre style="background-color: #ffffaa; border: thin solid; margin-left: 20pt; margin-right: 20pt; padding: 10pt;"> X1^2 + X2^2 + ... + Xn^2
--------------------------
n
----------------------------
Y1^2 + Y2^2 + ... + Ym^2
--------------------------
m</pre><p>mengikuti distribusi F, dengan n dan m derajat kebebasan. Ini adalah distribusi hasil bagi variabel Chi2 independen, masing-masing dibagi dengan derajat kebebasannya.</p><p>Kami akan memenuhi distribusi ini ketika kami membandingkan varians (misalnya, dalam Anova (Analysis Of VAriance) atau dalam uji statistik).</p><pre style="background-color: #ffffaa; border: thin solid; margin-left: 20pt; margin-right: 20pt; padding: 10pt;">curve(df(x,1,1), xlim=c(0,2), ylim=c(0,.8), lty=2)
curve(df(x,3,1), add=T)
curve(df(x,6,1), add=T, lwd=3)
curve(df(x,3,3), add=T, col='red')
curve(df(x,6,3), add=T, lwd=3, col='red')
curve(df(x,3,6), add=T, col='blue')
curve(df(x,6,6), add=T, lwd=3, col='blue')
title(main="Fisher's F")
legend(par('usr')[2], par('usr')[4], xjust=1,
c('df=(1,1)', 'df=(3,1)', 'df=(6,1)',
'df=(3,3)', 'df=(6,3)',
'df=(3,6)', 'df=(6,6)'),
lwd=c(1,1,3,1,3,1,3),
lty=c(2,1,1,1,1,1,1),
col=c(par("fg"), par("fg"), par("fg"), 'red', 'red', 'blue', 'blue'))</pre><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj12UdHk8G6ZkmmiORIi1K3netX0L0aGRKll5fA8ynSvdHzroa2BwNLQrwtJIqwhkKDNzdScLrHkssIk3xBawrfw2GSmSIRWg8hupa-7A9o2GUS0yQedz77HPnekqqkpeDmXLIdOYuziUuFOSQiHqMR8178M8Zvt1eYXljTy69PLTA7J6QnqfSx66Fq/s698/28.PNG" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="680" data-original-width="698" height="390" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj12UdHk8G6ZkmmiORIi1K3netX0L0aGRKll5fA8ynSvdHzroa2BwNLQrwtJIqwhkKDNzdScLrHkssIk3xBawrfw2GSmSIRWg8hupa-7A9o2GUS0yQedz77HPnekqqkpeDmXLIdOYuziUuFOSQiHqMR8178M8Zvt1eYXljTy69PLTA7J6QnqfSx66Fq/w400-h390/28.PNG" width="400" /></a></div><div><b><span style="font-size: medium;">Hukum lognormal</span></b></div><div><b><span style="font-size: medium;"><br /></span></b></div><div>Cukup sering, variabel yang kita temui di dunia nyata memiliki nilai positif: dengan variabel yang benar-benar gaussian, ini tidak mungkin -- kita tahu bahwa variabel kita bukan gaussian. Sebagai gantinya, kita dapat melihat apakah logaritma ots adalah gaussian -- dengan kata lain, jika variabel kita adalah eksponensial dari variabel gaussian.</div><pre style="background-color: #ffffaa; border: thin solid; margin-left: 20pt; margin-right: 20pt; padding: 10pt;">curve(dlnorm(x), xlim=c(-.2,5), lwd=3,
main="Log-normal distribution")</pre><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi5SoSTy1NMFygVvYwSlDcp4GzY34NSeqFjoBA0HnN-HSbI-DMMd7n6P9Qj_Vc-Jj9ZMjf94eHB1euTr4ORYgmQrxHtPyPXYIxSigs_ntCHwldryPJKFdvQeX282sEvOt0IXPnh-_FBx4afiXwVZPfGzSq3D4ZiD4jOaf78Yk-zmDFoWMtjiOG-mN0P/s690/29.PNG" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="672" data-original-width="690" height="390" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi5SoSTy1NMFygVvYwSlDcp4GzY34NSeqFjoBA0HnN-HSbI-DMMd7n6P9Qj_Vc-Jj9ZMjf94eHB1euTr4ORYgmQrxHtPyPXYIxSigs_ntCHwldryPJKFdvQeX282sEvOt0IXPnh-_FBx4afiXwVZPfGzSq3D4ZiD4jOaf78Yk-zmDFoWMtjiOG-mN0P/w400-h390/29.PNG" width="400" /></a></div><div><b><span style="font-size: medium;">Cauchy</span></b></div><div><b><span style="font-size: medium;"><br /></span></b></div><div>Ini adalah contoh distribusi yang tersebar secara patologis: variansnya tidak terbatas.</div><div><br /></div><div>Kadang-kadang disebut distribusi pemanah: seorang pemanah yang ditutup matanya, di depan dinding yang tak terbatas menembakkan panah ke arah yang acak. Distribusi dampak panah di dinding adalah distribusi Cauchy.</div><pre style="background-color: #ffffaa; border: thin solid; margin-left: 20pt; margin-right: 20pt; padding: 10pt;">N <- 100 # Number of arrows
alpha <- runif(N, -pi/2, pi/2) # Direction of the arrow
x <- tan(alpha) # Arrow impact
plot.new()
plot.window(xlim=c(-5, 5), ylim=c(-1.1, 2))
segments( 0, -1, # Position of the Bowman
x, 0 ) # Impact
d <- density(x)
lines(d$x, 5*d$y, col="red", lwd=3 )
box()
abline(h=0)
title(main="The bowman's distribution (Cauchy)")
# Exercise: turn this into an animation...</pre><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi-lBLA-lK03qGkC7WKzyWIXdB5M_TF6Ifwer5UERdI_o2MFhG8SrYieQiqLIOK9OS2ZjVh7uBWQTvv661akWALcEiDRaNffLzvSdxyUa_jHVpDtBLL7AusoJIOCYMagYCPKIDnJGsBK5VbTQ8WJ2AfpsdpRmb2SDbQTJsX-a3dmD2gjSMzfeH-bOjj/s606/30.PNG" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="579" data-original-width="606" height="383" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi-lBLA-lK03qGkC7WKzyWIXdB5M_TF6Ifwer5UERdI_o2MFhG8SrYieQiqLIOK9OS2ZjVh7uBWQTvv661akWALcEiDRaNffLzvSdxyUa_jHVpDtBLL7AusoJIOCYMagYCPKIDnJGsBK5VbTQ8WJ2AfpsdpRmb2SDbQTJsX-a3dmD2gjSMzfeH-bOjj/w400-h383/30.PNG" width="400" /></a></div><pre style="background-color: #ffffaa; border: thin solid; margin-left: 20pt; margin-right: 20pt; padding: 10pt;">N <- 10000
x <- tan(runif(N, -pi/2, pi/2))
xlim <- qcauchy(2/N)
xlim <- c(xlim, -xlim)
plot(qcauchy(ppoints(N)), sort(x),
xlim=xlim, ylim=xlim,
main="The bowman's distribution and Cauchy's")</pre><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg8d4jrlLrRDTeZ7bTLTyoLXYEaOSM33N2toFvFJepsNy2wc1BvfOGNC8YsyDgN1dsN8CzjPpZPkXmZaWCBM1bsnpbJcngb3yzvabksNM3L16ifluCETC4prSBL4HsMouiTc3bSrD9LwM2tS2Bs_2JxmH_U7pdqXpvuSuNaOtU4QZtiK-O3lNHIUJMa/s683/31.PNG" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="683" data-original-width="683" height="400" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg8d4jrlLrRDTeZ7bTLTyoLXYEaOSM33N2toFvFJepsNy2wc1BvfOGNC8YsyDgN1dsN8CzjPpZPkXmZaWCBM1bsnpbJcngb3yzvabksNM3L16ifluCETC4prSBL4HsMouiTc3bSrD9LwM2tS2Bs_2JxmH_U7pdqXpvuSuNaOtU4QZtiK-O3lNHIUJMa/w400-h400/31.PNG" width="400" /></a></div><p>Ini juga merupakan kasus pembatas dari distribusi Student T, dengan 1 derajat kebebasan.</p><pre style="background-color: #ffffaa; border: thin solid; margin-left: 20pt; margin-right: 20pt; padding: 10pt;">curve(dcauchy(x),xlim=c(-5,5), ylim=c(0,.5), lwd=3)
curve(dnorm(x), add=T, col='red', lty=2)
legend(par('usr')[2], par('usr')[4], xjust=1,
c('Cauchy distribution', 'Gaussian distribution'),
lwd=c(3,1),
lty=c(1,2),
col=c(par("fg"), 'red'))</pre><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhZ9JYaddJ9qn4mtWgmw-ky9tgghv7QYYgceQl-K6O457c-Z_J4RCftyJOSU09dLXD_CUzdC5zyU14ll64vAqwgihIUPOqBndhYGF70MiRkxg_AymnFvKU_6fhrE_In-U6gVnjFcCgOkkQaAK9qt8DjQJswbBjBKAZb4R9Ez166PMBNvo8A7Z8vUoMg/s686/32.PNG" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="626" data-original-width="686" height="365" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhZ9JYaddJ9qn4mtWgmw-ky9tgghv7QYYgceQl-K6O457c-Z_J4RCftyJOSU09dLXD_CUzdC5zyU14ll64vAqwgihIUPOqBndhYGF70MiRkxg_AymnFvKU_6fhrE_In-U6gVnjFcCgOkkQaAK9qt8DjQJswbBjBKAZb4R9Ez166PMBNvo8A7Z8vUoMg/w400-h365/32.PNG" width="400" /></a></div><br /><p><br /></p><p><br /></p><p><br /></p><p><br /></p><p><br /></p><p><br /></p><p><br /></p><p><br /></p><p><br /></p><p><br /></p><p><br /></p><p><br /></p><p><br /></p><p><br /></p><p><br /></p>Jimmy Pujosenohttp://www.blogger.com/profile/17973647737656365646noreply@blogger.com0tag:blogger.com,1999:blog-7652763575876291773.post-13973288582493077042022-05-29T10:56:00.001+07:002022-05-31T15:53:11.355+07:00Distribusi Probabilitas Kontinu Menggunakan R Part 1<p><b><span style="font-size: large;">Distribusi Probabilitas Kontinu</span></b></p><p>Distribusi probabilitas kontinu yang paling penting adalah distribusi gaussian, eksponensial, dan uniform.</p><p><b><span style="font-size: medium;">Distribusi kontinu uniform</span></b></p><p>Di sini, "uniform" berarti "merata dalam interval tertentu". Ini adalah distribusi yang akita harapkan ketika kita ingin "mengambil angka secara acak dalam interval [0,1]".</p><p>Kita dapat mensimulasikan distribusi ini dengan fungsi "runif".</p><pre style="background-color: #ffffaa; border: thin solid; margin-left: 20pt; margin-right: 20pt; padding: 10pt;">> round(runif(20), digits=4)
[1] 0.6187 0.4653 0.0806 0.5425 0.4418 0.4485 0.4685 0.4461 0.9195 0.6127
[11] 0.9132 0.8607 0.1341 0.3795 0.8608 0.9100 0.1545 0.7401 0.2990 0.8714</pre><p><b><span style="font-size: medium;">Distribusi eksponensial</span></b></p><p>Kita bisa melihatnya sebagai analogi dari distribusi Poisson. Sebenarnya, waktu antara dua peristiwa dalam proses Poisson (secara intuitif: waktu antara dua peristiwa langka) mengikuti distribusi eksponensial. Misalnya, waktu antara dua disintegrasi radioaktif.</p><pre style="background-color: #ffffaa; border: thin solid; margin-left: 20pt; margin-right: 20pt; padding: 10pt;">curve(dexp(x), xlim=c(0,10), col='red', lwd=3,
main='Exponential Probability Distribution Function')</pre><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiwUiQYYtDPGux85ES0Q64xlGRsKjyOa-W8qJPdK1dKieWyWaQ-ByO5V8TrXbcBtDwOCgtMe_0jLDwQeuPjHGRtmukMqSUS37-1lPxL7qUtY-UQVpODwQvDJWHY-c4ZpIbq4wuu5tzutmpojwfZtv8dBhFwb4epk3nBInsi1IYuHW4snmi-84bhdsVU/s674/15.PNG" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="674" data-original-width="672" height="400" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiwUiQYYtDPGux85ES0Q64xlGRsKjyOa-W8qJPdK1dKieWyWaQ-ByO5V8TrXbcBtDwOCgtMe_0jLDwQeuPjHGRtmukMqSUS37-1lPxL7qUtY-UQVpODwQvDJWHY-c4ZpIbq4wuu5tzutmpojwfZtv8dBhFwb4epk3nBInsi1IYuHW4snmi-84bhdsVU/w399-h400/15.PNG" width="399" /></a></div><pre style="background-color: #ffffaa; border: thin solid; margin-left: 20pt; margin-right: 20pt; padding: 10pt;">n <- 1000
x <- rexp(n)
hist(x, probability=T,
col='light blue', main='Exponential Distribution')
lines(density(x), col='red', lwd=3)
curve(dexp(x), xlim=c(0,10), col='red', lwd=3, lty=2,
add=T)</pre><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhkrq9zFc8PXprMUivDoRkYGwnDb0DlsJ-rA09-5-8knjMbKi6RdZG65vyMGoavnva5QQKydXtePrLbHKPtxhc_Gct17fynW0Jb3_Hj_JbjeI2VAnPa850jeZcUa1Al43i5iCz8KxORead_9K4-ZrjsqlnvETBT9O0K4TIsYR3cNjU64xAPxv4F76VX/s678/16.PNG" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="665" data-original-width="678" height="393" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhkrq9zFc8PXprMUivDoRkYGwnDb0DlsJ-rA09-5-8knjMbKi6RdZG65vyMGoavnva5QQKydXtePrLbHKPtxhc_Gct17fynW0Jb3_Hj_JbjeI2VAnPa850jeZcUa1Al43i5iCz8KxORead_9K4-ZrjsqlnvETBT9O0K4TIsYR3cNjU64xAPxv4F76VX/w400-h393/16.PNG" width="400" /></a></div><div><b><span style="font-size: medium;">Distribusi Gaussian</span></b></div><div><br /></div><div>Ini adalah distribusi "berbentuk lonceng" yang terkenal.</div><div><br /></div><div>Lebih tepatnya, teorema limit pusat menyatakan bahwa jika X1, X2, ... X3 adalah variabel acak yang terdistribusi identik secara independen dengan harapan m dan varians s^2, maka</div><pre style="background-color: #ffffaa; border: thin solid; margin-left: 20pt; margin-right: 20pt; padding: 10pt;"> (X1+X2+...+Xn) - nm
---------------------
sqrt(n) s</pre><p>konvergen dalam hukum ke distribusi gaussian ketika n cenderung tak terhingga. dengan kata lain, sarana empiris</p><pre style="background-color: #ffffaa; border: thin solid; margin-left: 20pt; margin-right: 20pt; padding: 10pt;">X1+...Xn
--------
n</pre><p>adalah "mendekati" distribusi gaussian dari ekspektasi m dan standar deviasi s/sqrt(n).</p><p>Ini menjelaskan omnipresence hukum gaussian: ketika Anda mengulangi eksperimen berkali-kali, hasil rata-rata (hampir) mengikuti distribusi gaussian.</p><pre style="background-color: #ffffaa; border: thin solid; margin-left: 20pt; margin-right: 20pt; padding: 10pt;">limite.centrale <- function (r=runif, m=.5, s=1/sqrt(12), n=c(1,3,10,30), N=1000) {
for (i in n) {
x <- matrix(r(i*N),nc=i)
x <- ( apply(x, 1, sum) - i*m )/(sqrt(i)*s)
hist(x, col='light blue', probability=T, main=paste("n =",i),
ylim=c(0,max(.4, density(x)$y)))
lines(density(x), col='red', lwd=3)
curve(dnorm(x), col='blue', lwd=3, lty=3, add=T)
if( N>100 ) {
rug(sample(x,100))
} else {
rug(x)
}
}
}
op <- par(mfrow=c(2,2))
limite.centrale()
par(op)</pre><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEitIWQadhH4MwecDeKD9SvZa-2Zll5a0Um8IYkRqUWwYFcoqc5HCJZgGrbGyU5Cew2qthIVfNqMuo9TEpt1wzXtet62HX0OmgjDuwUF50K_YkhmGZhkaQdyrrhz4oebTuKnE3aBujJIVMrAliUqhSpocnYWKtnD2S2pXTvY4F5MKe_GKTATGeunhI1J/s726/17.PNG" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="690" data-original-width="726" height="380" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEitIWQadhH4MwecDeKD9SvZa-2Zll5a0Um8IYkRqUWwYFcoqc5HCJZgGrbGyU5Cew2qthIVfNqMuo9TEpt1wzXtet62HX0OmgjDuwUF50K_YkhmGZhkaQdyrrhz4oebTuKnE3aBujJIVMrAliUqhSpocnYWKtnD2S2pXTvY4F5MKe_GKTATGeunhI1J/w400-h380/17.PNG" width="400" /></a></div><br /><pre style="background-color: #ffffaa; border: thin solid; margin-left: 20pt; margin-right: 20pt; padding: 10pt;">op <- par(mfrow=c(2,2))
limite.centrale(rexp, m=1, s=1)
par(op)</pre><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhk33tzeyKAGzgu8YcqVmIegrue15oOpqu7EfGviZ5BgNQJV-uBfVdQYClm2pwhW2-1lVTKU0PZ9ehcMR4-sLNvVilcdAQlivSEbC7EI2W6QEyYsACL6k-cvmQLQjSTBPkYa61Xz3qlzbxzI8LXM5yDoRsUiuxSE7idIfTc43g_1cJrieG1iXZP3_hL/s723/18.PNG" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="697" data-original-width="723" height="385" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhk33tzeyKAGzgu8YcqVmIegrue15oOpqu7EfGviZ5BgNQJV-uBfVdQYClm2pwhW2-1lVTKU0PZ9ehcMR4-sLNvVilcdAQlivSEbC7EI2W6QEyYsACL6k-cvmQLQjSTBPkYa61Xz3qlzbxzI8LXM5yDoRsUiuxSE7idIfTc43g_1cJrieG1iXZP3_hL/w400-h385/18.PNG" width="400" /></a></div><pre style="background-color: #ffffaa; border: thin solid; margin-left: 20pt; margin-right: 20pt; padding: 10pt;">op <- par(mfrow=c(2,2))
limite.centrale(rexp, m=1, s=1)
par(op)</pre><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEicPkgybYlvjCrz8uVy0Vm5kLIVI9rveUCbDv4SHiCBWFnH_C5qUbgYl0sAswqavOCc7WwWJNPI8R5YHJwUzEpWOLUfTU-a18eEUMmpHfsKFLpDKdcIvV2HMEnNlHvn0t4axVOawkAsbG64DfTwwLgXcYYMJkbKBZVi-0VHBYIPByy0J-nAdFOoxI1F/s696/19.PNG" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="694" data-original-width="696" height="399" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEicPkgybYlvjCrz8uVy0Vm5kLIVI9rveUCbDv4SHiCBWFnH_C5qUbgYl0sAswqavOCc7WwWJNPI8R5YHJwUzEpWOLUfTU-a18eEUMmpHfsKFLpDKdcIvV2HMEnNlHvn0t4axVOawkAsbG64DfTwwLgXcYYMJkbKBZVi-0VHBYIPByy0J-nAdFOoxI1F/w400-h399/19.PNG" width="400" /></a></div><pre style="background-color: #ffffaa; border: thin solid; margin-left: 20pt; margin-right: 20pt; padding: 10pt;">op <- par(mfrow=c(2,2))
limite.centrale(function (n) { rnorm(n, sample(c(-3,3),n,replace=T)) },
m=0, s=sqrt(10), n=c(1,2,3,10))
par(op)</pre><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg8TR2Mljj8dWUpiAGrIxgVU41PTW7MUdd7E78Im503yz3u8xo_pFIzAqAMZssh5hE9R_FKUa1P4zTjZLf4gJLJGiCCwSxsDaU5N1JzyNLNQeoms2P7YHekq6LkoxHUXiI_6R978uCwPFVoqfdlP5cFAif7OtKLumbMMCSs7lPNSIz7bndEEYUMgk5A/s713/20.PNG" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="706" data-original-width="713" height="396" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg8TR2Mljj8dWUpiAGrIxgVU41PTW7MUdd7E78Im503yz3u8xo_pFIzAqAMZssh5hE9R_FKUa1P4zTjZLf4gJLJGiCCwSxsDaU5N1JzyNLNQeoms2P7YHekq6LkoxHUXiI_6R978uCwPFVoqfdlP5cFAif7OtKLumbMMCSs7lPNSIz7bndEEYUMgk5A/w400-h396/20.PNG" width="400" /></a></div><div>Latihan: buat plot, mirip dengan yang di atas, tetapi dengan kepadatan probabilitas teoretis.</div><div><br /></div><div>Fungsi kepadatan probabilitas gaussian adalah</div><pre style="background-color: #ffffaa; border: thin solid; margin-left: 20pt; margin-right: 20pt; padding: 10pt;">f(x) = exp( -x^2/2 ) / sqrt( 2 pi )</pre><p>In R:</p><pre style="background-color: #ffffaa; border: thin solid; margin-left: 20pt; margin-right: 20pt; padding: 10pt;">curve(dnorm(x), xlim=c(-3,3), col='red', lwd=3)
title(main='Gaussian Probability Distribution Function')</pre><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh8aYJPexnOGZhBbi8Q88_CXKaDc_zrCGQ-nFXwOA4s_K5TZObAokgBzSQB4RvJLshOolhvPvaeCPV3DI7eVqU8560d3rgk9q6cnsoGh1LpSWUZr-ahDYWgszBWVqU06XxTe06dCkiU0gcuDBFFD-tHvX008zTbVZSiu7uyXUViLzSIPc9cIcIZRd66/s697/21.PNG" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="663" data-original-width="697" height="380" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh8aYJPexnOGZhBbi8Q88_CXKaDc_zrCGQ-nFXwOA4s_K5TZObAokgBzSQB4RvJLshOolhvPvaeCPV3DI7eVqU8560d3rgk9q6cnsoGh1LpSWUZr-ahDYWgszBWVqU06XxTe06dCkiU0gcuDBFFD-tHvX008zTbVZSiu7uyXUViLzSIPc9cIcIZRd66/w400-h380/21.PNG" width="400" /></a></div><br /><p>Kepadatan kumulatif (yaitu, integral dari kepadatan):</p><pre style="background-color: #ffffaa; border: thin solid; margin-left: 20pt; margin-right: 20pt; padding: 10pt;">curve(pnorm(x), xlim=c(-3,3), col='red', lwd=3)
title(main='Cumulative gaussian distribution function')</pre><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgtOhvOf3ffOTtjgyD9KBEyhDLpffXMi4OhhAt7SOV4AFrL0kIE1SfnpM1SyNM0rBP1z6Ke85fnvIdwiMT7MBn86WT8-eyCQQnsCCbTlHKlA--OM-Bp3kIw-irqh8oOKCFKVm9I_sYHjO_EiC-sR_T8UYq-dXastn6dBvSjIMIbAC111lls4pxjQkGc/s707/22.PNG" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="666" data-original-width="707" height="376" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgtOhvOf3ffOTtjgyD9KBEyhDLpffXMi4OhhAt7SOV4AFrL0kIE1SfnpM1SyNM0rBP1z6Ke85fnvIdwiMT7MBn86WT8-eyCQQnsCCbTlHKlA--OM-Bp3kIw-irqh8oOKCFKVm9I_sYHjO_EiC-sR_T8UYq-dXastn6dBvSjIMIbAC111lls4pxjQkGc/w400-h376/22.PNG" width="400" /></a></div>Kuantil (yaitu, kebalikan dari kepadatan kumulatif):<br /><pre style="background-color: #ffffaa; border: thin solid; margin-left: 20pt; margin-right: 20pt; padding: 10pt;">curve(qnorm(x), xlim=c(0,1), col='red', lwd=3)
title(main='Gaussian quantiles function')</pre><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhwoI-O8dWgd2deoExAnytqB49gofD0b2UQ7A917ApJpka4wvSuD-PhfpnBC7ObEH12RhiV15BszY849yAVo9zzUGutsbpdrFs0MeewVGMYnNOSUHgHfJPSyYm8ROT4Pr-MT-OIsdqETR0Bd6dgkD4iYJRoAN8VJKC2S4u3G1XPdNFbnm_xYZUe30Lh/s720/23.PNG" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="668" data-original-width="720" height="371" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhwoI-O8dWgd2deoExAnytqB49gofD0b2UQ7A917ApJpka4wvSuD-PhfpnBC7ObEH12RhiV15BszY849yAVo9zzUGutsbpdrFs0MeewVGMYnNOSUHgHfJPSyYm8ROT4Pr-MT-OIsdqETR0Bd6dgkD4iYJRoAN8VJKC2S4u3G1XPdNFbnm_xYZUe30Lh/w400-h371/23.PNG" width="400" /></a></div>Dan, tentu saja, kita memiliki fungsi "rnorm" untuk simulasi.<br /><pre style="background-color: #ffffaa; border: thin solid; margin-left: 20pt; margin-right: 20pt; padding: 10pt;">n <- 1000
x <- rnorm(n)
hist(x, probability=T, col='light blue', main='Gaussian Distribution')
lines(density(x), col='red', lwd=3)
curve(dnorm(x), add=T, col='red', lty=2, lwd=3)
legend(par('usr')[2], par('usr')[4], xjust=1,
c('sample density', 'theoretical density'),
lwd=2, lty=c(1,2),
col='red')</pre><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiMrJfSwRq4NPfvpVPqFSZGGt2fsTfZPxMC-uyarFOSjdg35C4RQyLlvn56EXrGysJ6r0P1s4vQSrImQDrNaYStWxt2-RpOlEoNBOC564Dvr2lAiZ4U599OcEmGUnwiC6M-6d6z4Wz8yFpJXiVa1ECzxO6JmlV9izNfgeNcrwHBlvjyWsrxe9JKxerc/s706/24.PNG" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="669" data-original-width="706" height="379" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiMrJfSwRq4NPfvpVPqFSZGGt2fsTfZPxMC-uyarFOSjdg35C4RQyLlvn56EXrGysJ6r0P1s4vQSrImQDrNaYStWxt2-RpOlEoNBOC564Dvr2lAiZ4U599OcEmGUnwiC6M-6d6z4Wz8yFpJXiVa1ECzxO6JmlV9izNfgeNcrwHBlvjyWsrxe9JKxerc/w400-h379/24.PNG" width="400" /></a></div>Dalam diskusi di atas, kami mengasumsikan mean adalah mu=0 dan simpangan baku sigma=1 (distribusi "standar gaussian"): untuk mendapatkan kasus umum, kami hanya menerapkan transformasi affine:<br /><pre style="background-color: #ffffaa; border: thin solid; margin-left: 20pt; margin-right: 20pt; padding: 10pt;">f(x) = exp( -( (x-mu) / sigma )^2 /2 ) / sqrt( 2 pi sigma )</pre><p>Distribusi gaussian kadang-kadang disebut distribusi "normal" -- saya akan mencoba menghindari kata ini, karena dalam beberapa situasi, distribusi yang ingin kita amati (yang ingin kita sebut "normal") bukanlah distribusi gaussian </p><p><br /></p><p><br /></p><p><br /></p><p><br /></p><p><br /></p><p><br /></p><p><br /></p><p><br /></p>Jimmy Pujosenohttp://www.blogger.com/profile/17973647737656365646noreply@blogger.com0tag:blogger.com,1999:blog-7652763575876291773.post-89253521729070744482022-05-27T13:18:00.002+07:002022-05-31T15:53:11.359+07:00Distribusi Probabilitas Diskrit Menggunakan R Part 2<p><b><span style="font-size: medium;">Distribusi Hypergeometric</span></b></p><p>Ini adalah pembagian jumlah sampel bola merah tanpa pengembalian dari guci yang berisi bola merah dan putih.</p><p></p><p>Mari kita simulasikan pada sebuah contoh: kita mengambil sampel tanpa pengembalian 5 bola dari sebuah guci berisi 15 bola putih dan 5 bola merah dan kita menghitung jumlah bola putih</p><div><pre style="background-color: #ffffaa; border: thin solid; margin-left: 20pt; margin-right: 20pt; padding: 10pt;">N <- 10000
n <- 5
urn <- c(rep(1,15),rep(0,5))
x <- NULL
for (i in 1:N) {
x <- append(x, sum(sample( urn, n, replace=F )))
}
hist(x,
xlim=c(min(x),max(x)), probability=T, nclass=max(x)-min(x)+1,
col='lightblue',
main='Hypergeometric distribution, n=20, p=.75; k=5')
lines(density(x,bw=1), col='red', lwd=3)</pre></div><div><br /></div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgeSA2kgENDfuZDZqEsJMQe87WiE2CUvPnoW2rDiCv1d2czNSLKBkbHzL5qkRKXlcoSNJWZuAogmlP1yUh5VhvKmd7CopoDofK1l6E99rzpA8Tiqq0mYjjT9LTW3rFv5xnqyWmYHVA8wk0S25X2KQ9AWrSaz7DoOgapbRS6eRzAmwCWT18ejDHu6zFD/s567/1.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="562" data-original-width="567" height="396" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgeSA2kgENDfuZDZqEsJMQe87WiE2CUvPnoW2rDiCv1d2czNSLKBkbHzL5qkRKXlcoSNJWZuAogmlP1yUh5VhvKmd7CopoDofK1l6E99rzpA8Tiqq0mYjjT9LTW3rFv5xnqyWmYHVA8wk0S25X2KQ9AWrSaz7DoOgapbRS6eRzAmwCWT18ejDHu6zFD/w400-h396/1.png" width="400" /></a></div>Atau, Anda dapat langsung menggunakan fungsi "rhyper" (lebih cepat).<div><pre style="background-color: #ffffaa; border: thin solid; margin-left: 20pt; margin-right: 20pt; padding: 10pt;">N <- 10000
n <- 5
x <- rhyper(N, 15, 5, 5)
hist(x,
xlim=c(min(x),max(x)), probability=T, nclass=max(x)-min(x)+1,
col='lightblue',
main='Hypergeometric distribution, n=20, p=.75, k=5')
lines(density(x,bw=1), col='red', lwd=3)</pre><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjo_IrlJXEzAR2-TYkNY31cSktmyt7Wzy-b9f5vHc0zZgUOnh4WWY-p3ca1m9Cw8EceAbid3j7ublhAGeawm4xYpCq7XkFWJPUxcpliq3Qu65o5xyaX3yAkmZzhnMzS5UzjreZ4sqY0AEmG6W1AATMvsfgEft9uMV3Hx-NuIQ7T-v9HxTAriol0Ejm_/s564/2.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="558" data-original-width="564" height="396" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjo_IrlJXEzAR2-TYkNY31cSktmyt7Wzy-b9f5vHc0zZgUOnh4WWY-p3ca1m9Cw8EceAbid3j7ublhAGeawm4xYpCq7XkFWJPUxcpliq3Qu65o5xyaX3yAkmZzhnMzS5UzjreZ4sqY0AEmG6W1AATMvsfgEft9uMV3Hx-NuIQ7T-v9HxTAriol0Ejm_/w400-h396/2.png" width="400" /></a></div><div><pre style="background-color: #ffffaa; border: thin solid; margin-left: 20pt; margin-right: 20pt; padding: 10pt;">N <- 10000
n <- 5
x <- rhyper(N, 300, 100, 100)
hist(x,
xlim=c(min(x),max(x)), probability=T, nclass=max(x)-min(x)+1,
col='lightblue',
main='Hypergeometric distribution, n=400, p=.75, k=100')
lines(density(x,bw=1), col='red', lwd=3)</pre></div></div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi8L25ITufJok38MlfaTwSImuAphd0a3blXAm4_iq0XU0o7ylGCUjh5mQIKY_5oVu9Up-BJNFwfiELm8hnisSGPDrtgbymMY7IEn-5CE0KY7CJjwz6Qqo4VN_LUvvgtAFxhEKeGWmQxQyHSPP_lokNrxFRBy9TcTe4ZJnOFk8djhei3BSoZ186R8X1X/s563/3.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="562" data-original-width="563" height="399" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi8L25ITufJok38MlfaTwSImuAphd0a3blXAm4_iq0XU0o7ylGCUjh5mQIKY_5oVu9Up-BJNFwfiELm8hnisSGPDrtgbymMY7IEn-5CE0KY7CJjwz6Qqo4VN_LUvvgtAFxhEKeGWmQxQyHSPP_lokNrxFRBy9TcTe4ZJnOFk8djhei3BSoZ186R8X1X/w400-h399/3.png" width="400" /></a></div><b><br /></b><div><div><b><span style="font-size: large;">Distribusi Poisson</span></b></div><div><b><br /></b></div><div style="text-align: justify;">Ini adalah distribusi jumlah pelanggan yang mengantri (di toko, bank, layanan publik) dalam satuan waktu. Atau jumlah kesalahan ketik dalam teks. Atau jumlah atau disintegrasi radioaktif per detik. Atau segala jenis kejadian "langka" (sebenarnya, distribusi Poisson adalah kasus pembatas dari distribusi binomial).</div><div style="text-align: justify;"><br /></div><div style="text-align: justify;">Secara lebih formal, itu adalah distribusi probabilitas sedemikian rupa sehingga: (1) probabilitas mengamati suatu peristiwa (di sini, "peristiwa" dapat berupa: "ada pelanggan baru", "ada disintegrasi radioaktif baru", ada kesalahan ketik" , dll.) dalam interval "kecil" sebanding dengan ukuran interval ini (khususnya, tidak tergantung pada posisi interval ini pada sumbu waktu); (2) probabilitas bahwa suatu peristiwa terjadi dalam interval yang diberikan tidak tergantung pada probabilitas bahwa suatu peristiwa terjadi dalam interval terputus lainnya; (3) peristiwa tersebut tidak pernah simultan.</div><div style="text-align: justify;">Pengaturan ini disebut "proses Poisson".</div><div style="text-align: justify;"><br /></div><div style="text-align: justify;">Seseorang dapat menunjukkan bahwa ini secara unik mendefinisikan distribusi probabilitas, dengan:</div><div style="text-align: justify;"><pre style="background-color: #ffffaa; border: thin solid; margin-left: 20pt; margin-right: 20pt; padding: 10pt; text-align: start;">P( X=k ) = e^(-lambda) * lambda^k / k!</pre></div><div style="text-align: justify;">Dimana lambda adalah jumlah rata-rata peristiwa per unit waktu. Seseorang dapat mensimulasikan distribusi ini dengan fungsi "rpois".</div></div><div><pre style="background-color: #ffffaa; border: thin solid; margin-left: 20pt; margin-right: 20pt; padding: 10pt;">N <- 10000
x <- rpois(N, 1)
hist(x,
xlim=c(min(x),max(x)), probability=T, nclass=max(x)-min(x)+1,
col='lightblue',
main='Poisson distribution, lambda=1')
lines(density(x,bw=1), col='red', lwd=3)</pre></div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh31xPVaQPCvhcdmEluZFnGLE-hr9dF3G17klRU8FY32EPrfrzOlEKCiJefUsVPNoYhu7B6aGXR7cEo9VvXFDiW1ZpDf3a4C_ZbmmZ-sir7hseTkabaV-5DkUzCKzncJgXCReAwp25KaCZjCuWNHTKVBc16L0eMMfkDjWsW3iW7vOhRJoAqCkzlCWAj/s567/4.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="557" data-original-width="567" height="393" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh31xPVaQPCvhcdmEluZFnGLE-hr9dF3G17klRU8FY32EPrfrzOlEKCiJefUsVPNoYhu7B6aGXR7cEo9VvXFDiW1ZpDf3a4C_ZbmmZ-sir7hseTkabaV-5DkUzCKzncJgXCReAwp25KaCZjCuWNHTKVBc16L0eMMfkDjWsW3iW7vOhRJoAqCkzlCWAj/w400-h393/4.png" width="400" /></a></div><div><pre style="background-color: #ffffaa; border: thin solid; margin-left: 20pt; margin-right: 20pt; padding: 10pt;">N <- 10000
x <- rpois(N, 3)
hist(x,
xlim=c(min(x),max(x)), probability=T, nclass=max(x)-min(x)+1,
col='lightblue',
main='Poisson distribution, lambda=3')
lines(density(x,bw=1), col='red', lwd=3)</pre></div><div><br /></div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhIuoduUDtKkYrvEbLJ3J29P6EqbJtvWt3FHC3Uda2abq_JUSPNtzqJT6q6oixSjUztyc3HmiTIF_Cvsyi1xLhxJmRpcp5f3oq5GbnPzsatqdfJmK44O3hKYcTBuCJGuW8AVrUNRu-RXFFx5d4NEBr0Zks-EJV1peX2w6h8NHuO-HFFysK4e6mNqJfP/s561/5.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="556" data-original-width="561" height="396" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhIuoduUDtKkYrvEbLJ3J29P6EqbJtvWt3FHC3Uda2abq_JUSPNtzqJT6q6oixSjUztyc3HmiTIF_Cvsyi1xLhxJmRpcp5f3oq5GbnPzsatqdfJmK44O3hKYcTBuCJGuW8AVrUNRu-RXFFx5d4NEBr0Zks-EJV1peX2w6h8NHuO-HFFysK4e6mNqJfP/w400-h396/5.png" width="400" /></a></div><div><pre style="background-color: #ffffaa; border: thin solid; margin-left: 20pt; margin-right: 20pt; padding: 10pt;">N <- 10000
x <- rpois(N, 5)
hist(x,
xlim=c(min(x),max(x)), probability=T, nclass=max(x)-min(x)+1,
col='lightblue',
main='Poisson distribution, lambda=5')
lines(density(x,bw=1), col='red', lwd=3)</pre></div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgXEr_yFCsariZdVbJAz5vMUM1eqQZJum-4JazseCmMCHeZXIItDaD-12CTJNpLUvrny2XtaMLQ0p8iXd9srtEZ-UlRE5yNxToernwbfCGwoLZiCGkKdI1vJJcu5kyCc-18sF4cbeTNQDMovpKxdy9rwIFAkilhZE-UHk73hwDZRJVJ3G4tBQimE5Dv/s563/6.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="553" data-original-width="563" height="393" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgXEr_yFCsariZdVbJAz5vMUM1eqQZJum-4JazseCmMCHeZXIItDaD-12CTJNpLUvrny2XtaMLQ0p8iXd9srtEZ-UlRE5yNxToernwbfCGwoLZiCGkKdI1vJJcu5kyCc-18sF4cbeTNQDMovpKxdy9rwIFAkilhZE-UHk73hwDZRJVJ3G4tBQimE5Dv/w400-h393/6.png" width="400" /></a></div><div><pre style="background-color: #ffffaa; border: thin solid; margin-left: 20pt; margin-right: 20pt; padding: 10pt;">N <- 10000
x <- rpois(N, 20)
hist(x,
xlim=c(min(x),max(x)), probability=T, nclass=max(x)-min(x)+1,
col='lightblue',
main='Poisson distribution, lambda=20')
lines(density(x,bw=1), col='red', lwd=3)</pre></div><div><br /></div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg-h0Jh1pjhfvT9e29CH6zrkH0KRcSrv7WWY3K4BgVIMTm3V2ypzRErELpB9md9XD3VoGt3sRm3OMXuqUTbOvHjARf8X3nLJDvLiM-i9EQTHZXwl4KoMDFsLMW5jrelGRGdCSmvGMXTAtocOOMi9GjJ699Xb1ErBtiOjO906MvYWhUYgZJQUVr68As1/s718/7.PNG" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="675" data-original-width="718" height="376" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg-h0Jh1pjhfvT9e29CH6zrkH0KRcSrv7WWY3K4BgVIMTm3V2ypzRErELpB9md9XD3VoGt3sRm3OMXuqUTbOvHjARf8X3nLJDvLiM-i9EQTHZXwl4KoMDFsLMW5jrelGRGdCSmvGMXTAtocOOMi9GjJ699Xb1ErBtiOjO906MvYWhUYgZJQUVr68As1/w400-h376/7.PNG" width="400" /></a></div><br /><div><div><b><span style="font-size: medium;">Distribusi geometris</span></b></div><div><br /></div><div>Itu adalah jumlah percobaan sebelum sukses dalam serangkaian acara Bernoulli. Misalnya, jika kita tertarik pada kemunculan 1s dan jika kita mendapatkan</div></div><div><br /></div><div><pre style="background-color: #ffffaa; border: thin solid; margin-left: 20pt; margin-right: 20pt; padding: 10pt;">0 0 0 1 0 1 0 0 1 0 0 1 0</pre></div><div><div>kemudian, kami memiliki tiga percobaan (0 0 0, di awal) sebelum sukses (elemen keempat adalah "1").</div><div>Kita bisa mensimulasikannya dengan </div></div><div><pre style="background-color: #ffffaa; border: thin solid; margin-left: 20pt; margin-right: 20pt; padding: 10pt;">my.rgeom <- function (N, p) {
bernoulli <- sample( c(0,1), N, replace=T, prob=c(1-p, p) )
diff(c(0, which(bernoulli == 1))) - 1
}
hist( my.rgeom(10000, .5), col="light blue",
main="Geometric distribution" )</pre></div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiN2vJgNjcqn0EuelFh5fgsG87JiaV3XeJsYvM-fCn3SOzAvyXFi8kGbM0rOhnwn1ibEyaK8ZTfVVO_PVWR6D6QBGJ5vfpQbHsRA7Ww5KEzHrOwqZ6WzlEfas4T0FFb46KnYuenSOqH3SvkFtv0AJd7hWLPEldmKMM6WfLhwOsgaxWZP0__dBbPWJpr/s706/8.PNG" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="697" data-original-width="706" height="395" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiN2vJgNjcqn0EuelFh5fgsG87JiaV3XeJsYvM-fCn3SOzAvyXFi8kGbM0rOhnwn1ibEyaK8ZTfVVO_PVWR6D6QBGJ5vfpQbHsRA7Ww5KEzHrOwqZ6WzlEfas4T0FFb46KnYuenSOqH3SvkFtv0AJd7hWLPEldmKMM6WfLhwOsgaxWZP0__dBbPWJpr/w400-h395/8.PNG" width="400" /></a></div><div><br /></div><div>tetapi lebih mudah menggunakan perintah "rgeom".</div><div><br /></div><div><pre style="background-color: #ffffaa; border: thin solid; margin-left: 20pt; margin-right: 20pt; padding: 10pt;">N <- 10000
x <- rgeom(N, .5)
hist(x,
xlim=c(min(x),max(x)), probability=T, nclass=max(x)-min(x)+1,
col='lightblue',
main='Geometric distribution, p=.5')
lines(density(x,bw=1), col='red', lwd=3)</pre></div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhRfFmalEI-m3ccLxhSXmZwQIRK0pFcLCf_TXIyro1VIbn-ErMF_eWlhd9-wdrMg7ZZHc-GjCkuRBBIOVKbH9fhosOpfMX_yXS7kJg9oL8i6fpq7P8IOkslou82Ag5Uu0MjeDuGbMQ9HqFx3cnsFtYOjuchIpF_DyKrm4P0HfQ0DIHSK4wMtBUS15G7/s717/9.PNG" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="681" data-original-width="717" height="380" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhRfFmalEI-m3ccLxhSXmZwQIRK0pFcLCf_TXIyro1VIbn-ErMF_eWlhd9-wdrMg7ZZHc-GjCkuRBBIOVKbH9fhosOpfMX_yXS7kJg9oL8i6fpq7P8IOkslou82Ag5Uu0MjeDuGbMQ9HqFx3cnsFtYOjuchIpF_DyKrm4P0HfQ0DIHSK4wMtBUS15G7/w400-h380/9.PNG" width="400" /></a></div><div><pre style="background-color: #ffffaa; border: thin solid; margin-left: 20pt; margin-right: 20pt; padding: 10pt;">N <- 10000
x <- rgeom(N, .1)
hist(x,
xlim=c(min(x),max(x)), probability=T, nclass=max(x)-min(x)+1,
col='lightblue',
main='Geometric distribution, p=.1')
lines(density(x,bw=1), col='red', lwd=3)</pre></div><div><br /></div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiRDL24ZufbjCijkSAEWKGPvwv9jQsb6CPOby5OJ1poYIDHO1EBKB0dfmKohYHPui7iEGM1W3Bghj4j3cfElymxRfNAe4yNWFdutgq2vDo8VJqrDIV8tGi3az100kI7L1PJN8fmJu3QYxbeuCLWBfSseSkN6RG1rkOa86nM_1WFTGQZhg3jM-FtRrOK/s716/10.PNG" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="677" data-original-width="716" height="379" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiRDL24ZufbjCijkSAEWKGPvwv9jQsb6CPOby5OJ1poYIDHO1EBKB0dfmKohYHPui7iEGM1W3Bghj4j3cfElymxRfNAe4yNWFdutgq2vDo8VJqrDIV8tGi3az100kI7L1PJN8fmJu3QYxbeuCLWBfSseSkN6RG1rkOa86nM_1WFTGQZhg3jM-FtRrOK/w400-h379/10.PNG" width="400" /></a></div><pre style="background-color: #ffffaa; border: thin solid; margin-left: 20pt; margin-right: 20pt; padding: 10pt;">N <- 10000
x <- rgeom(N, .01)
hist(x,
xlim=c(min(x),max(x)), probability=T, nclass=20,
col='lightblue',
main='Geometric distribution, p=.01')
lines(density(x), col='red', lwd=3)</pre><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiw3FgpDHyQVQ8X5SO4A9tnBSxIVYrxotuX4DxjsK3lqFnHffXWh2fIMGjrs06EpbSQprwnf_kcy7ERfTckmUBHz68OPRjvqWj7pkk47u9jwM-KrZoeAmRgSoWFtO4OJEy603L1sOvl7Q6N7eLzcQngtPc1FI5FCJv9Bdp40_2aXt8MnFLXLyDxtslO/s693/11.PNG" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="667" data-original-width="693" height="385" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiw3FgpDHyQVQ8X5SO4A9tnBSxIVYrxotuX4DxjsK3lqFnHffXWh2fIMGjrs06EpbSQprwnf_kcy7ERfTckmUBHz68OPRjvqWj7pkk47u9jwM-KrZoeAmRgSoWFtO4OJEy603L1sOvl7Q6N7eLzcQngtPc1FI5FCJv9Bdp40_2aXt8MnFLXLyDxtslO/w400-h385/11.PNG" width="400" /></a></div><div><br /></div><div><div><b><span style="font-size: medium;">Distribusi binomial negatif</span></b></div><div><b><span style="font-size: medium;"><br /></span></b></div><div>Ini adalah distribusi jumlah kegagalan sebelum k sukses dalam serangkaian peristiwa Bernoulli.</div><div><br /></div><div>Kita bisa mensimulasikannya dengan tangan (latihan diserahkan kepada pembaca). tetapi lebih mudah menggunakan fungsi "rnbinom".</div></div><div><br /></div><div><pre style="background-color: #ffffaa; border: thin solid; margin-left: 20pt; margin-right: 20pt; padding: 10pt;">N <- 100000
x <- rnbinom(N, 10, .25)
hist(x,
xlim=c(min(x),max(x)), probability=T, nclass=max(x)-min(x)+1,
col='lightblue',
main='Negative binomial distribution, n=10, p=.25')
lines(density(x,bw=1), col='red', lwd=3)</pre></div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjyXgGrcp_Tf5uXfF-ZH4xl1fPkYjfeWTXjsoimyWoTINRFpmlu0UIVIi9HTPQupULipnW_dCfZMEranBLBsYBqCAx5T_ZlwXRH_Lad1-orLCpsNha4gZUHc9dR06PD-wVY9tAoaKJ46lxgMtWzcMTQIzelrpMaeOX0jW6qrW7i29yn2BFJM-sKL8sF/s677/12.PNG" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="668" data-original-width="677" height="395" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjyXgGrcp_Tf5uXfF-ZH4xl1fPkYjfeWTXjsoimyWoTINRFpmlu0UIVIi9HTPQupULipnW_dCfZMEranBLBsYBqCAx5T_ZlwXRH_Lad1-orLCpsNha4gZUHc9dR06PD-wVY9tAoaKJ46lxgMtWzcMTQIzelrpMaeOX0jW6qrW7i29yn2BFJM-sKL8sF/w400-h395/12.PNG" width="400" /></a></div><div><pre style="background-color: #ffffaa; border: thin solid; margin-left: 20pt; margin-right: 20pt; padding: 10pt;">N <- 10000
x <- rnbinom(N, 10, .5)
hist(x,
xlim=c(min(x),max(x)), probability=T, nclass=max(x)-min(x)+1,
col='lightblue',
main='negative binomial distribution, n=10, p=.5')
lines(density(x,bw=1), col='red', lwd=3)</pre></div><div><br /></div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgqKd2E7jHjFKktyCJXXSw_5e6o4EEe73W_J6_KLXZ5XJ60Lda3vcr2lnEcAo6k2w5FeNYmvGoCbGoUiqWjwDrBv9ktQs5lbSVqFB14yfQoaS_lIxOWIYXxpiU8Xys5k6GY3ZA-SnWCZuP-smlso17Xp4ENggGA2uopGSrEdaPwGD4PJ3ENtOR162NN/s714/13.PNG" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="674" data-original-width="714" height="378" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgqKd2E7jHjFKktyCJXXSw_5e6o4EEe73W_J6_KLXZ5XJ60Lda3vcr2lnEcAo6k2w5FeNYmvGoCbGoUiqWjwDrBv9ktQs5lbSVqFB14yfQoaS_lIxOWIYXxpiU8Xys5k6GY3ZA-SnWCZuP-smlso17Xp4ENggGA2uopGSrEdaPwGD4PJ3ENtOR162NN/w400-h378/13.PNG" width="400" /></a></div><div><pre style="background-color: #ffffaa; border: thin solid; margin-left: 20pt; margin-right: 20pt; padding: 10pt;">N <- 10000
x <- rnbinom(N, 10, .75)
hist(x,
xlim=c(min(x),max(x)), probability=T, nclass=max(x)-min(x)+1,
col='lightblue',
main='negative binomial distribution, n=10, p=.75')
lines(density(x,bw=1), col='red', lwd=3)</pre></div><div><br /></div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEij59O0iV8UAIM-LxIXaPdmeCy_-coUMA91YbUWlimAQ4sryb5cNSIwS-NykUpRVywRH_312eRmg8rcwKcsY6JnbVVJj0rU73F4dpYPQcKR7-LiyZmnyL7RLOXTXgCWUM3Qglm1POFT6SesPzoghx7yWETDZ5EjYgbXRBQPWMWETowgsK98sY1qmIv2/s675/14.PNG" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="667" data-original-width="675" height="395" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEij59O0iV8UAIM-LxIXaPdmeCy_-coUMA91YbUWlimAQ4sryb5cNSIwS-NykUpRVywRH_312eRmg8rcwKcsY6JnbVVJj0rU73F4dpYPQcKR7-LiyZmnyL7RLOXTXgCWUM3Qglm1POFT6SesPzoghx7yWETDZ5EjYgbXRBQPWMWETowgsK98sY1qmIv2/w400-h395/14.PNG" width="400" /></a></div><b><span style="font-size: medium;"><br /></span></b><div><div><b><span style="font-size: medium;">Distribusi multinomial</span></b></div><div><b><br /></b></div><div>Ini adalah analog dari distribusi binomial tetapi, kali ini, kejadiannya memiliki beberapa kemungkinan hasil.</div></div><div><br /></div><div><pre style="background-color: #ffffaa; border: thin solid; margin-left: 20pt; margin-right: 20pt; padding: 10pt;">P( (X1,X2,...,Xn)=(k1,k2,...,kn) ) = m! p1^k1 ... pn^kn / (k1! ... kn!)</pre></div><div>Kita dapat mensimulasikannya sebagai berikut, masih dengan fungsi "sampel".</div><div><pre style="background-color: #ffffaa; border: thin solid; margin-left: 20pt; margin-right: 20pt; padding: 10pt;">n <- 5
N <- 100
p <- c(.2,.5,.1,.1,.1)
x <- factor(sample(1:n, N, replace=T, prob=p), levels=1:n)
table(x)</pre></div><div>Kita mendapatkan:</div><div><pre style="background-color: #ffffaa; border: thin solid; margin-left: 20pt; margin-right: 20pt; padding: 10pt;">x
1 2 3 4 5
19 47 13 7 14</pre></div><div><br /></div><div><br /></div><div><br /></div>Jimmy Pujosenohttp://www.blogger.com/profile/17973647737656365646noreply@blogger.com0tag:blogger.com,1999:blog-7652763575876291773.post-59202254256261940002022-05-12T15:04:00.003+07:002022-05-31T15:53:11.358+07:00Distribusi Probabilitas Diskrit Menggunakan R Part 1<p>Pada post kali ini, kita akan menyajikan distribusi probabilitas yang paling penting (Gaussian, Eksponensial, Seragam, Bernoulli, Binomial, Poisson). Kita juga akan menentukan bagaimana "menyesuaikan" distribusi, bagaimana menemukan distribusi yang paling cocok dengan kumpulan data yang diberikan, bagaimana menemukan parameter yang paling mungkin.</p><p><b><span style="font-size: large;">Distribusi Probabilitas Diskrit</span></b></p><p>Distribusi probabilitas diskrit yang paling penting adalah distribusi Bernoulli, Binomial dan Poisson.</p><p><b><span style="font-size: medium;">Distribusi Bernoulli</span></b></p><p>Melempar koin setara dengan memeriksa variabel acak mengikuti distribusi Bernoulli dari parameter 0,5. Jika koin telah lempar dan "kepala" muncul dengan probabilitas p, itu adalah distribusi Bernoulli dari parameter p.</p><pre style="background-color: #ffffaa; border: thin solid; margin-left: 20pt; margin-right: 20pt; padding: 10pt;">P( X=1 ) = p
P( X=0 ) = 1-p</pre><p>Dalam hal equiprobability, Anda dapat mensimulasikan eksperimen semacam itu dengan perintah "sample", yang melakukan pengundian seperti itu, dengan atau tanpa penggantian, dari set yang diberikan.</p><pre style="background-color: #ffffaa; border: thin solid; margin-left: 20pt; margin-right: 20pt; padding: 10pt;">n <- 100
x <- sample(c(-1,1), n, replace=T)
plot(x, type='h', main="Bernoulli variables")</pre><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh3QjAgn-v5PBEPZ_IwpHcMxQt540fbU6zrEzp7vkuVbqaCLZa2-0-LDOBcYX4bMPHZT_imEeGdlRj1VanBLjUbnJ9YZusOlbbp5Tdc9Wnb2jeTFfcQqWytZ6Mi_2agr8GaCO_sESg5t9dWicS32nxtozAzv2v7TQyWugFOc0m3AQy9bpmdKfIOkt0e/s590/1..png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="170" data-original-width="590" height="115" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh3QjAgn-v5PBEPZ_IwpHcMxQt540fbU6zrEzp7vkuVbqaCLZa2-0-LDOBcYX4bMPHZT_imEeGdlRj1VanBLjUbnJ9YZusOlbbp5Tdc9Wnb2jeTFfcQqWytZ6Mi_2agr8GaCO_sESg5t9dWicS32nxtozAzv2v7TQyWugFOc0m3AQy9bpmdKfIOkt0e/w400-h115/1..png" width="400" /></a></div><div class="separator" style="clear: both; text-align: left;"><pre style="background-color: #ffffaa; border: thin solid; margin-left: 20pt; margin-right: 20pt; padding: 10pt;">n <- 1000
x <- sample(c(-1,1), n, replace=T)
plot(cumsum(x), type='l',
main="Cumulated sums of Bernoulli variables")</pre></div><div><br /></div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiZuJnQBJM_RSsufbwawoJdFrRWxhz3kVID5582eq304EDzW2r8HK68cju-FLbqfq0TwHmrgSAOKBDvZAm58kZkT6BsOWrbHWTZXzGGikT2BAv9PJ162lwvbFZmmevWdlFrvKdc98DwS9nzM_mtDacdWdubKoibHZjCBbApQHaOatNRJmdV4Z-1-GBO/s589/2..png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="558" data-original-width="589" height="379" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiZuJnQBJM_RSsufbwawoJdFrRWxhz3kVID5582eq304EDzW2r8HK68cju-FLbqfq0TwHmrgSAOKBDvZAm58kZkT6BsOWrbHWTZXzGGikT2BAv9PJ162lwvbFZmmevWdlFrvKdc98DwS9nzM_mtDacdWdubKoibHZjCBbApQHaOatNRJmdV4Z-1-GBO/w400-h379/2..png" width="400" /></a></div><div class="separator" style="clear: both; text-align: left;">Jika probabilitas kedua kejadian berbeda, kita masih dapat menggunakan perintah "sample", dengan satu argumen lagi.</div><div class="separator" style="clear: both; text-align: left;"><pre style="background-color: #ffffaa; border: thin solid; margin-left: 20pt; margin-right: 20pt; padding: 10pt;">n <- 100
x <- sample(c(-1,1), n, replace=T, prob=c(.2,.8))
plot(x, type='h',
main="Bernoulli variables, different probabilities")</pre></div><br /><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhML4d9TtnejvYq9B0KWdYpgU7W0UGtUHIemRdCgkZ-rMw23zAnw-jzOsVy5JFDoT9DoqBdhOBKqLXiK8FFS8Q23K8-oGx1Olrb2W5mdDBNgNF8n4nkvHXfs_Hn2l4OmP6BvkqfskhdnWjtMpq9MS99--FHV34WruCdhebf9sRnRk9_06XHPjWLf4Rb/s572/3..png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="160" data-original-width="572" height="113" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhML4d9TtnejvYq9B0KWdYpgU7W0UGtUHIemRdCgkZ-rMw23zAnw-jzOsVy5JFDoT9DoqBdhOBKqLXiK8FFS8Q23K8-oGx1Olrb2W5mdDBNgNF8n4nkvHXfs_Hn2l4OmP6BvkqfskhdnWjtMpq9MS99--FHV34WruCdhebf9sRnRk9_06XHPjWLf4Rb/w400-h113/3..png" width="400" /></a></div><pre style="background-color: #ffffaa; border: thin solid; margin-left: 20pt; margin-right: 20pt; padding: 10pt;">n <- 200
x <- sample(c(-1,1), n, replace=T, prob=c(.2,.8))
plot(cumsum(x), type='l',
main="Cummulative sums of Bernoulli variables")</pre><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg34f8DSxNV9-Yr1Vx8geh6Bg18nuDASCoVac7yVRlfugt1P5SK12w1xNzYLseh6XIWD91B7iM4wm1BuHVbg847D4zxHs0aahkiI38mFCAPgWmtGgFFeUEBS0pstsgk_dd-Pjp4L1D4f4bCVFX83s5DJO7UgEZB5CRkvcRu3HbXWdrKTIUO57vYVhTi/s599/4..png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="556" data-original-width="599" height="371" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg34f8DSxNV9-Yr1Vx8geh6Bg18nuDASCoVac7yVRlfugt1P5SK12w1xNzYLseh6XIWD91B7iM4wm1BuHVbg847D4zxHs0aahkiI38mFCAPgWmtGgFFeUEBS0pstsgk_dd-Pjp4L1D4f4bCVFX83s5DJO7UgEZB5CRkvcRu3HbXWdrKTIUO57vYVhTi/w400-h371/4..png" width="400" /></a></div><br /><div><br /></div><div>Tetapi kita juga dapat melakukannya dengan perintah "runif".</div><div><pre style="background-color: #ffffaa; border: thin solid; margin-left: 20pt; margin-right: 20pt; padding: 10pt;">n <- 200
x <- runif(n)
x <- x>.3
plot(x, type='h', main="Bernoulli variables")</pre></div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi4kn4zQ9x2s_vAZTsR8-bLZcMqnZGdQGty76seIQlb5oJdiEEqcczmq1RW-sQ9jb8H-ejH3Lqq7H7UPxVXR4xy-sf9aXFpVY7HCI0Abk5XOQi3VLl5WU_m2y2hNj5V1JrvcqwOFE-Yc_PkoIdMV8u_L7vfvfpOcdoUIQYSjhzrwLPea0v36ulu7W-k/s574/5..png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="163" data-original-width="574" height="114" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi4kn4zQ9x2s_vAZTsR8-bLZcMqnZGdQGty76seIQlb5oJdiEEqcczmq1RW-sQ9jb8H-ejH3Lqq7H7UPxVXR4xy-sf9aXFpVY7HCI0Abk5XOQi3VLl5WU_m2y2hNj5V1JrvcqwOFE-Yc_PkoIdMV8u_L7vfvfpOcdoUIQYSjhzrwLPea0v36ulu7W-k/w400-h114/5..png" width="400" /></a></div><br /><div>Distribusi Diskrit Uniform</div><div><div>Ini adalah generalisasi dari distribusi Bernoulli: menggambar angka secara acak dari 1, 2, ..., n.</div><div>Kita dapat mensimulasikan distribusi ini dengan perintah "sample".</div></div><div><br /></div><div><pre style="background-color: #ffffaa; border: thin solid; margin-left: 20pt; margin-right: 20pt; padding: 10pt;">> sample(1:10, 20, replace=T)
[1] 1 5 6 4 7 5 3 6 2 9 10 10 8 3 10 7 4 1 1 3</pre></div><div><div><b><span style="font-size: medium;">Distribusi Binomial</span></b></div><div><b><span style="font-size: medium;"><br /></span></b></div><div>Kita melempar koin n kali dan kita menghitung jumlah "kepala".</div><div>Dalam istilah yang lebih formal: variabel Binomial parameter (n,p) adalah jumlah dari n variabel Bernoulli parameter p.</div><div>Kita dapat mensimulasikannya sebagai berikut.</div></div><div><br /></div><div><pre style="background-color: #ffffaa; border: thin solid; margin-left: 20pt; margin-right: 20pt; padding: 10pt;">N <- 10000
n <- 20
p <- .5
x <- rep(0,N)
for (i in 1:N) {
x[i] <- sum(runif(n)<p)
}
hist(x,
col='light blue',
main="Simulating a binomial law")</pre></div><div><br /></div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjHKt7dDNZ_Zi-NUckdUU2pqajz2sYlw4a0mOaeptN9ASzpXa-BQdeKKMhsPJGKJZ1zmum5y-UDG1cqhea4AqAQilAJ1SlhDgA9HTNjNu2Kjl1vRc3xSA_CWR2yq5ECnRi7hIC_HXO_MaIbBQI90fCkTJ9neXMjBWusROHS5YnxghyzsU8cqH2EdSew/s562/6..png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="559" data-original-width="562" height="398" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjHKt7dDNZ_Zi-NUckdUU2pqajz2sYlw4a0mOaeptN9ASzpXa-BQdeKKMhsPJGKJZ1zmum5y-UDG1cqhea4AqAQilAJ1SlhDgA9HTNjNu2Kjl1vRc3xSA_CWR2yq5ECnRi7hIC_HXO_MaIbBQI90fCkTJ9neXMjBWusROHS5YnxghyzsU8cqH2EdSew/w400-h398/6..png" width="400" /></a></div><div><br /></div><div>Kita juga bisa menggunakan perintah "rbinom".</div><div><pre style="background-color: #ffffaa; border: thin solid; margin-left: 20pt; margin-right: 20pt; padding: 10pt;">N <- 1000
n <- 10
p <- .5
x <- rbinom(N,n,p)
hist(x,
xlim = c(min(x), max(x)),
probability = TRUE,
nclass = max(x) - min(x) + 1,
col = 'lightblue',
main = 'Binomial distribution, n=10, p=.5')
lines(density(x, bw=1), col = 'red', lwd = 3)</pre></div><div><br /></div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi_Gj9UA9CaSQTMM41xAGgf1-Hm9MjdcgcPFDU9M2KWkpEyFrqPQU-ZgNX8DJaP7NjoG7XX2UFpwIdgs7bnVGou9ZbNF--wwBun8KYxUbzVvp30Fl_SJSVF7mEE1FiaZGQspW9XTfZx4RQbwVE3eVS30Bt6_QTEaJFWDeB6iGRhwLQ7IxcXPuS4NmQn/s589/7..png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="557" data-original-width="589" height="379" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi_Gj9UA9CaSQTMM41xAGgf1-Hm9MjdcgcPFDU9M2KWkpEyFrqPQU-ZgNX8DJaP7NjoG7XX2UFpwIdgs7bnVGou9ZbNF--wwBun8KYxUbzVvp30Fl_SJSVF7mEE1FiaZGQspW9XTfZx4RQbwVE3eVS30Bt6_QTEaJFWDeB6iGRhwLQ7IxcXPuS4NmQn/w400-h379/7..png" width="400" /></a></div><br /><div><pre style="background-color: #ffffaa; border: thin solid; margin-left: 20pt; margin-right: 20pt; padding: 10pt;">N <- 100000
n <- 100
p <- .5
x <- rbinom(N,n,p)
hist(x,
xlim = c(min(x), max(x)),
probability = TRUE,
nclass = max(x) - min(x) + 1,
col = 'lightblue',
main = 'Binomial distribution, n=100, p=.5')
lines(density(x,bw=1), col = 'red', lwd = 3)</pre></div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhix5L3Nn3byIxQ16UHboKegv4s50Rk9JfRf-77Q45FvnPrblJyAjmLuwwSWulzCzBG20Qokfby6BVc-Z5C3G1tBz_76dxUZEdMgmctFVdIBNf1q3PPCeDVp8ugk6f6ISyq1otdmPJA9V-h-_-v7gftumGdaFTDVrgeFXtKzh2pAoeU5vjFeCz4-JXg/s607/8..png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="558" data-original-width="607" height="368" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhix5L3Nn3byIxQ16UHboKegv4s50Rk9JfRf-77Q45FvnPrblJyAjmLuwwSWulzCzBG20Qokfby6BVc-Z5C3G1tBz_76dxUZEdMgmctFVdIBNf1q3PPCeDVp8ugk6f6ISyq1otdmPJA9V-h-_-v7gftumGdaFTDVrgeFXtKzh2pAoeU5vjFeCz4-JXg/w400-h368/8..png" width="400" /></a></div><div><pre style="background-color: #ffffaa; border: thin solid; margin-left: 20pt; margin-right: 20pt; padding: 10pt;">p <- .9
x <- rbinom(N,n,p)
hist(x,
xlim = c(min(x), max(x)),
probability = TRUE,
nclass = max(x) - min(x) + 1,
col = 'lightblue',
main = 'Binomial distribution, n=100, p=.9')
lines(density(x,bw=1), col = 'red', lwd = 3)</pre></div><div><br /></div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjaxWaM5lPSUhhpp59_CQiD9j46h4YbnMtZKqSBmb1FKEFxxTH254jFF63L7uPgocq77V5xzl9r0iUbx4oPG2u5pLH4Zy7kj2Bsx3veh-d-rDo4x53WHA7hbIpmE7GQcGUYVDC7_RuA5gy3Pq15AY1AdjzMBQb7liIrsls7e9chetfDAMkia0rJY3EM/s571/9..png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="558" data-original-width="571" height="391" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjaxWaM5lPSUhhpp59_CQiD9j46h4YbnMtZKqSBmb1FKEFxxTH254jFF63L7uPgocq77V5xzl9r0iUbx4oPG2u5pLH4Zy7kj2Bsx3veh-d-rDo4x53WHA7hbIpmE7GQcGUYVDC7_RuA5gy3Pq15AY1AdjzMBQb7liIrsls7e9chetfDAMkia0rJY3EM/w400-h391/9..png" width="400" /></a></div><div><br /></div><div>Ini juga merupakan distribusi jumlah bola merah yang diambil sampelnya dengan penggantian dari guci yang berisi bola merah dan hitam: kita dapat mensimulasikannya dengan perintah "sample".</div><div><br /></div><div><pre style="background-color: #ffffaa; border: thin solid; margin-left: 20pt; margin-right: 20pt; padding: 10pt;">N <- 10000
n <- 100
p <- .5
x <- NULL
for (i in 1:N) {
x <- append(x, sum(sample( c(1,0),
n,
replace = TRUE,
prob = c(p, 1-p) )))
}
hist(x,
xlim = c(min(x), max(x)),
probability = TRUE,
nclass = max(x) - min(x) + 1,
col = 'lightblue',
main = 'Binomial distribution, n=100, p=.5')
lines(density(x,bw=1), col = 'red', lwd = 3)</pre></div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgaD9PXi6VNZwJLBfPiKV4ubZ5YqZvjmHlEGQNe8phn5fcQ7aEcbKpLgA2tARkC7G4vSX2XWkV5XDf_3OB0duFgyUMKSlpcWKKYHrTfRQPa8eya_jgVFJtGmJAcbbuu_wQTFrWfOt9rFMMot5bp_4p7wSH-DCcCpwzmsCDUAq5Cp4kn7honc84AlRrS/s587/10..png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="559" data-original-width="587" height="381" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgaD9PXi6VNZwJLBfPiKV4ubZ5YqZvjmHlEGQNe8phn5fcQ7aEcbKpLgA2tARkC7G4vSX2XWkV5XDf_3OB0duFgyUMKSlpcWKKYHrTfRQPa8eya_jgVFJtGmJAcbbuu_wQTFrWfOt9rFMMot5bp_4p7wSH-DCcCpwzmsCDUAq5Cp4kn7honc84AlRrS/w400-h381/10..png" width="400" /></a></div><div>Kita juga akan menemukan distribusi ini dalam ekologi, ketika kita mencoba memperkirakan jumlah hewan dari spesies tertentu (misalnya, ikan di danau). Kita menangkap binatang itu, Kita menandainya (dengan sebuah cincin -- kata di google untuk "berdering"), dan setelah beberapa waktu, sebagian dari populasinya dilingkari (kita tahu berapa banyak, karena kita telah menghitung cincinnya) , sisanya tidak. Ketika kita menangkap hewan baru, kita memiliki sejumlah hewan bercincin dan sejumlah hewan tidak bercincin: kita dapat menggunakan angka-angka itu untuk memperkirakan ukuran populasi.</div><div><br /></div><div>Karena Udah kepanjangan kita lanjut part 2 ya</div><div><br /></div><div><br /></div>Jimmy Pujosenohttp://www.blogger.com/profile/17973647737656365646noreply@blogger.com0tag:blogger.com,1999:blog-7652763575876291773.post-85165604340535236242022-05-09T14:46:00.002+07:002022-05-31T15:49:57.981+07:00Konversi Pandas DataFrame menjadi Numpy Array<p>Saat bekerja dengan pandas DataFrames, terkadang bermanfaat jika kita mengubahnya menjadi array NumPy. Yang terakhir tampaknya lebih hemat memori, terutama ketika harus melakukan beberapa operasi matematika yang kompleks terhadap data.</p><p>Ini terutama benar ketika kita bekerja dengan jumlah data yang relatif kecil (katakanlah 50 ribu row atau kurang). Pandas biasanya akan mengungguli arrays dalam kasus yang melibatkan volume data yang jauh lebih besar (misalnya >500 ribu baris). Ini hanya aturan praktis — dalam sebagian besar kasus, akan lebih baik untuk menguji kedua opsi dan melihat mana yang lebih baik dalam hal kinerja dan penggunaan memori, berdasarkan kebutuhan spesifik dan kasus penggunaan Anda.</p><p>Dalam tutorial singkat hari ini kita akan melakukan cara mengonversi pandas DataFrame menjadi array NumPy secara efisien.</p><p>Pertama, mari buat contoh pandas DataFrame yang akan kita gunakan untuk mendemonstrasikan beberapa cara berbeda yang berpotensi digunakan untuk mengubahnya menjadi array numpy.</p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgKUn2oaAP_yzZFy8qnw5ch43sIEw2Gt7K8kEapCrsMz9B2LszdSTtzB4Lg32WSIC5LdDd1cDyN34mF8TFxTavFaPkFqzd1Y2a4ueBrD17InxnOyyTXOIjcNzuyDkScxPt2y5-kODe037nYSgdg0ylsRxTE2FoWK1DC0dJmbvqG0DgH3MnDjcHuRHuy/s442/1.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="369" data-original-width="442" height="267" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgKUn2oaAP_yzZFy8qnw5ch43sIEw2Gt7K8kEapCrsMz9B2LszdSTtzB4Lg32WSIC5LdDd1cDyN34mF8TFxTavFaPkFqzd1Y2a4ueBrD17InxnOyyTXOIjcNzuyDkScxPt2y5-kODe037nYSgdg0ylsRxTE2FoWK1DC0dJmbvqG0DgH3MnDjcHuRHuy/s320/1.png" width="320" /></a></div><br /><div>Code diatas digunakan untuk membuat dataframe yang mempunya 4 kolom. Kemudian di bawah ini adalah dataframe yang berhasil kita buat</div><div><br /></div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg3acYndZ7SNOhMNjCqbmyi2gfvHze4VUI58gZDVqYZYyLmY1lqZT5fKONFhpGtwTS0Hm4i2-6gZiPAYynlUjuPPp4NJ7o71foLbt8ixOYvsNuvS_UL13hItG8xsLV1wPdVj3E8CpYvIvOcyN59yXZf7QzkyyfNqUXinPmRMGU6XdGF3tgg6Hcvj5o9/s263/2.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="251" data-original-width="263" height="251" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg3acYndZ7SNOhMNjCqbmyi2gfvHze4VUI58gZDVqYZYyLmY1lqZT5fKONFhpGtwTS0Hm4i2-6gZiPAYynlUjuPPp4NJ7o71foLbt8ixOYvsNuvS_UL13hItG8xsLV1wPdVj3E8CpYvIvOcyN59yXZf7QzkyyfNqUXinPmRMGU6XdGF3tgg6Hcvj5o9/s1600/2.png" width="263" /></a></div><br /><div><div><b><span style="font-size: medium;">Menggunakan pandas.DataFrame.to_numpy()</span></b></div><div><br /></div><div>Opsi pertama yang kita miliki saat mengubah pandas DataFrame menjadi array NumPy adalah fungsi .to_numpy() . Dibawah ini ditunjukkan penggunakan fungsi .to_numpy().</div></div><div><br /></div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhO81QW-f5u-ZQy-6golQxl0yWDs2lh0LdZyIP-e7qMkR8foWQwkVf0RHPGcmgb5LURzxnn5RcRbQWDX8bLqOAkqovbxnsn6CxDCM7aMYdAa5GIYvlp3LgeiGNpuDSFM-biAdLZNnZUkf3ouiAMN9Rxk4eCZ2SNhbLMjlPJ8Ex6-ObaM2jdTf7mOPiH/s420/3.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="305" data-original-width="420" height="232" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhO81QW-f5u-ZQy-6golQxl0yWDs2lh0LdZyIP-e7qMkR8foWQwkVf0RHPGcmgb5LURzxnn5RcRbQWDX8bLqOAkqovbxnsn6CxDCM7aMYdAa5GIYvlp3LgeiGNpuDSFM-biAdLZNnZUkf3ouiAMN9Rxk4eCZ2SNhbLMjlPJ8Ex6-ObaM2jdTf7mOPiH/s320/3.png" width="320" /></a></div><br /><div>Dan kita bisa cek jenis objek yaitu adalah numpy.ndarray: </div><div><br /><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhzFAw0jz6y0Yepjk4iVmnHfc7kWwgC6hz-ulfUVmWOjxwAWe6UjuaBNIYuZiKbUo_DTvBUFAkMAcsCMUZ5jck4rrXrrROTrdhKJq8gFmD45BPMGycru6sYnYcygnDhKImU4K_udvJvkkRFviDqFd4zZtodgNTsC94dwndZV8jXiRrUYDSWhaiujfRh/s262/4.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="47" data-original-width="262" height="47" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhzFAw0jz6y0Yepjk4iVmnHfc7kWwgC6hz-ulfUVmWOjxwAWe6UjuaBNIYuZiKbUo_DTvBUFAkMAcsCMUZ5jck4rrXrrROTrdhKJq8gFmD45BPMGycru6sYnYcygnDhKImU4K_udvJvkkRFviDqFd4zZtodgNTsC94dwndZV8jXiRrUYDSWhaiujfRh/s1600/4.png" width="262" /></a></div><br /></div><div><div><span style="font-size: medium;"><b>Menggunakan pandas.DatFrame.to_records()</b></span></div><div><br /></div><div>Opsi lain di sini adalah fungsi .to_records() yang akan mengonversi pandas DataFrame menjadi array record NumPy:</div></div><div><br /></div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgyOniciaUKe_9VTVN9NbKM1iXy5EOMVZLXi2zPCxJz9DtsIb-5l0bZ3YZe-KnfElIr-bkS1d3nhVtymduc_ipr2o7cJ06RyySSKMhZh24WG1WEVmvAzp47HWwYuYxialnYmUrgY4flfUbrqTxYh1XgIOoZdx6NgDcaoHxUlTkpksPkCDcB3NfOkDep/s635/5.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="345" data-original-width="635" height="174" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgyOniciaUKe_9VTVN9NbKM1iXy5EOMVZLXi2zPCxJz9DtsIb-5l0bZ3YZe-KnfElIr-bkS1d3nhVtymduc_ipr2o7cJ06RyySSKMhZh24WG1WEVmvAzp47HWwYuYxialnYmUrgY4flfUbrqTxYh1XgIOoZdx6NgDcaoHxUlTkpksPkCDcB3NfOkDep/s320/5.png" width="320" /></a></div><br /><div>Seperti disebutkan, berbeda dengan to_numpy(), fungsi to_records() akan mengembalikan objek bertipe nympy.recarray:</div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhteboORlZqa8TMbx-zSUUDM1Em2UM-EpzxbOF7qVd4-WZfSdIfZb0WfF5VW72xXbkVR9aLXbhLEnj8BnmmG6CQHD7RPvWWxysVCh2KNBw5_3mCq7ufc75IFMBSRRfZza-mKgzrzkULRtk9_e9r1ixktXuyh6GbWgS1v5Ia-iDw6Xpm-0GKyroykild/s241/6.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="54" data-original-width="241" height="54" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhteboORlZqa8TMbx-zSUUDM1Em2UM-EpzxbOF7qVd4-WZfSdIfZb0WfF5VW72xXbkVR9aLXbhLEnj8BnmmG6CQHD7RPvWWxysVCh2KNBw5_3mCq7ufc75IFMBSRRfZza-mKgzrzkULRtk9_e9r1ixktXuyh6GbWgS1v5Ia-iDw6Xpm-0GKyroykild/s1600/6.png" width="241" /></a></div><div><b><span style="font-size: medium;">Menggunakan numpy.asarray()</span></b></div><div><br /></div><div>Opsi ketiga yang kita miliki di sini adalah Fungsi numpy.asarray() yang akan mengubah input pandas DataFrame menjadi array NumPy:</div><div><br /></div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhVLxFwJ7IS9DegZzh5CyJb3VLHdBvHw2rb3dQ1A-En5sR6N-wJG59RuoBPNFZFC_7Yqic44nDsu5d_f6lINMmJcVu7a3EZbBV26d0UErx185NaqxDgMZUYr4DWONHSLccMBphKZ4CPbZZQ7iYupo9kPC0S8hYOo7LD8hqkbDdGLjqEtg1L_ioHclRZ/s409/7.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="361" data-original-width="409" height="282" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhVLxFwJ7IS9DegZzh5CyJb3VLHdBvHw2rb3dQ1A-En5sR6N-wJG59RuoBPNFZFC_7Yqic44nDsu5d_f6lINMmJcVu7a3EZbBV26d0UErx185NaqxDgMZUYr4DWONHSLccMBphKZ4CPbZZQ7iYupo9kPC0S8hYOo7LD8hqkbDdGLjqEtg1L_ioHclRZ/s320/7.png" width="320" /></a></div><br /><div>Objek yang kembali akan sekali lagi menjadi turunan dari numpy.ndarray:</div><div><br /></div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgcJr-m2Eb3LyR1hriLTx_vx7sJC8Y-4M5HZVTsvjD2MxH-fJGsrrxxxIPC5YI1LvbhjySL6awuC6Eyt9xHnOqPPwaBmrKHWTaMz93Jxk8nE-awx8s3R5VBpXDcnzziOdRXTRrY8pLjXxP288-ooqrvdvouTqjFxyPIkX5XVXULgk0mdmkPCYUm6JGG/s261/8.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="53" data-original-width="261" height="53" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgcJr-m2Eb3LyR1hriLTx_vx7sJC8Y-4M5HZVTsvjD2MxH-fJGsrrxxxIPC5YI1LvbhjySL6awuC6Eyt9xHnOqPPwaBmrKHWTaMz93Jxk8nE-awx8s3R5VBpXDcnzziOdRXTRrY8pLjXxP288-ooqrvdvouTqjFxyPIkX5XVXULgk0mdmkPCYUm6JGG/s1600/8.png" width="261" /></a></div><div><div>Dalam postingan kali ini kita membahas tentang mengonversi panda DataFrames menjadi array NumPy dan dalam situasi apa hal itu dapat bermanfaat untuk dilakukan.</div><div>Selain itu, kami menunjukkan cara mengonversi DataFrame menjadi ndarray menggunakan fungsi to_numpy() dan to_records() dari objek pandas.DataFrame serta fungsi numpy.asarray().</div></div><div><br /></div>Jimmy Pujosenohttp://www.blogger.com/profile/17973647737656365646noreply@blogger.com0tag:blogger.com,1999:blog-7652763575876291773.post-21140860390230283832022-05-05T13:31:00.000+07:002022-05-31T15:53:11.356+07:00Fungsi Penting dalam R Part 2<p><b><span style="font-size: medium;"> 4. Fungsi Pembangkit Data Peubah Acak</span></b></p><p>R juga memiliki fungsi statistika lain yang banyak dipakai dalam simulasi data. Fungsi- fungsi ini digunakan untuk membangkitkan data dari peubah acak dengan berbagai distribusi yang banyak dijumpai, seperti normal, poisson, dan gamma dengan jumlah atau ukuran sampel n. Ada empat jenis fungsi terkait dengan distribusi peubah acak yaitu.</p><p></p><ul style="text-align: left;"><li>rdistribusi untuk membangkitkan data acak atau random dari suatu distribusi dengan Parameter tertentu.</li><li>ddistribusi untuk mencari nilai fungsi kepadatan f(x) pada suatu nilai x tertentu.</li><li>pdistribusi untuk mencari luas daerah (nilai peluang) suatu distribusi yang dibatasi oleh nilai x tertentu</li><li>qdistribusi untuk mencarti nilai x yang membatasi luas daerah (nilai peluang) tertentu dari suatu distribusi</li></ul><p></p><p>Dalam istilah di atas, distribusi merupakan nama-nama distribusi yang tersedia pada R di antaranya beberapa yang penting yang banyak dipakai adalah norm (normal), gamma (Gamma),t(t), F(F), chisq(χ2), pois (Poisson), binom(Binomial).</p><p>Contoh : Misal kita ingin mensimulasi data dari distribusi normal dengan parameter populasi µ = 50 dan σ = 5. Kita dapat menghitung mean maupun variansi sampel dari data yang dibangkitkan untuk melihat kedekatannya dengan µ dan σ^2.</p><p>Rata – rata distribusi normal</p><p>>mean(rnorm(100,50,5))</p><p>[1] 50.19985</p><p>Variansi distribusi normal</p><p>>var(rnorm(100,50,5))</p><p>[1] 26.99507</p><div><br /></div><div>Fungsi Pembangkit Data dan juga terdapat fungsi-fungsi menghitung peluang distribusi.</div><div><br /></div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhCiFkZHGK7KyYVOK4x50Sjvb2a9hn1BQR_bbsWghLBIuUHG9u6K2bPM0uUnL2Q-9vYmH0Ss_nBZ7RTbRtOE_0RPf6fo3gkHX5pNshUO6fN9zeiAxzbSI4Iv-oOd1F_9VU5dwVWNkkkV0Y3vExPEbBJtBE8D70em3jGkac-a03ox-i7pVM1PdXqn6HW/s530/4.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="530" data-original-width="458" height="400" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhCiFkZHGK7KyYVOK4x50Sjvb2a9hn1BQR_bbsWghLBIuUHG9u6K2bPM0uUnL2Q-9vYmH0Ss_nBZ7RTbRtOE_0RPf6fo3gkHX5pNshUO6fN9zeiAxzbSI4Iv-oOd1F_9VU5dwVWNkkkV0Y3vExPEbBJtBE8D70em3jGkac-a03ox-i7pVM1PdXqn6HW/w346-h400/4.png" width="346" /></a></div><div class="separator" style="clear: both; text-align: left;"><div class="separator" style="clear: both;"><b><span style="font-size: medium;">5. Fungsi untuk Menangani Grafik</span></b></div><div class="separator" style="clear: both;"><br /></div><div class="separator" style="clear: both;">Untuk menangani grafik, R memiliki beberapa fungsi seperti ditunjukkan pada Tabel dibawah ini.</div><div class="separator" style="clear: both;"><br /></div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj3L2xPIPjS6E8Y5BE_GoIYnI9J5YmY8WWmzzYa319Wr_K_SC5mm5jmzoNo1l5O2b6CYf3Y0W3jal_LYW3VjI_dv_PZM-xaxAf3cRiEtMnW2Ao-KM9P7Hth0otFjsVCmFPLMp7lARu3ivTWWHi6siEu6cNBiswbYdvZUXDd5reqpzOmDnrS3rKqKHOA/s541/5.1.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="541" data-original-width="401" height="400" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj3L2xPIPjS6E8Y5BE_GoIYnI9J5YmY8WWmzzYa319Wr_K_SC5mm5jmzoNo1l5O2b6CYf3Y0W3jal_LYW3VjI_dv_PZM-xaxAf3cRiEtMnW2Ao-KM9P7Hth0otFjsVCmFPLMp7lARu3ivTWWHi6siEu6cNBiswbYdvZUXDd5reqpzOmDnrS3rKqKHOA/w296-h400/5.1.png" width="296" /></a></div><div class="separator" style="clear: both;"><br /></div><div class="separator" style="clear: both;">Dokumentasi yang lebih lengkap dapat diperoleh dengan menggunakan perintah help(...). Di antara fungsi ini adalah untuk membuat layout lembaran grafik yang dibagi menjadi matriks sub lembaran kecil (a×b). Masing-masing sublembaran dapat memiliki judul dan absis sendiri seperti gambar dibawah.</div></div><div><br /></div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiOC0ljiJ_pBoVnMqualK4yn587D6DsQYD0bDxCyTyvHd4M63H2OJEmBIctXZrk48lTT-UeuJCxRxQFYSqrRLis2XK87o14QLEkHJL-RdKsaPkNAOEO1kpW-MspedfCrXsQnrkO9FExBT5VIg4_XaHflOPFSmgOw0fvDY9EY4-Vph6qmxWLJiAiY9UB/s423/5.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="393" data-original-width="423" height="371" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiOC0ljiJ_pBoVnMqualK4yn587D6DsQYD0bDxCyTyvHd4M63H2OJEmBIctXZrk48lTT-UeuJCxRxQFYSqrRLis2XK87o14QLEkHJL-RdKsaPkNAOEO1kpW-MspedfCrXsQnrkO9FExBT5VIg4_XaHflOPFSmgOw0fvDY9EY4-Vph6qmxWLJiAiY9UB/w400-h371/5.png" width="400" /></a></div><div>Contoh: Misalkan kita inginkan 1 lembar tampilan grafik dibagi menjadi 6 subgrafik yang tersusun atas 2 × 3 (2 baris dan 3 kolom) seperti gambar diatas. Tentu saja sumbu grafik ini diatur sehingga yang biasa diberi label sumbu adalah semua sumbu bawah, sumbu paling kiri, sumbu atas, dan sumbu paling kanan. Dengan demikian, perintahnya adalah seperti berikut dan hasil grafiknya dapat dilihat pada Gambar diatas</div><div>par(mfrow=c(2,3)) #menentukan jumlah grafik</div><div>plot(1,1,xlim=c(0,4),ylim=c(0,3),)</div><div>text(2,2,"Gambar 1.1")</div><div>plot(1,2,xlim=c(0,4),ylim=c(0,3))</div><div>text(2,1,"Gambar 1.2")</div><div>plot(1,3,xlim=c(0,4),ylim=c(0,3))</div><div>text(2,2,"Gambar 1.3")</div><div>plot(2,1,xlim=c(0,4),ylim=c(0,3))</div><div>text(2,2,"Gambar 2.1")</div><div>plot(2,2,xlim=c(0,4),ylim=c(0,3))</div><div>text(2,1,"Gambar 2.2")</div><div>plot(2,3,xlim=c(0,4),ylim=c(0,3))</div><div>text(2,2,"Gambar 2.3")</div><div><br /></div><div><div>Layout yang lebih kompleks dapat dilakukan dengan menggunakan fungsi layout() dan split.screen(). Pada program berikut lay out layar dibagi menjadi 4 wilayah 1 bagian atas dan 3 bagian bawah. Hasilnya dapat dilihat pada Gambar dibawah.</div></div><div><div><br /></div><div>layout(matrix(c(1, 1, 1,</div><div> 2, 3, 4), nr = 2, byrow = TRUE))</div><div>plot(1,1,xlim=c(0,4),ylim=c(1,3),)</div><div>text(2,2,"Gambar 1")</div><div>plot(1,2,xlim=c(0,4),ylim=c(1,3))</div><div>text(2,1.5,"Gambar 2.1")</div><div>plot(1,3,xlim=c(0,4),ylim=c(1,3))</div><div>text(2,2,"Gambar 2.2")</div><div>plot(2,1,xlim=c(0,4),ylim=c(1,3))</div><div>text(2,2,"Gambar 2.3")</div><div>mtext("Fungsi \"layout\" ", side = 3, outer = TRUE,font = 2)</div></div><div><br /></div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjzE-1sy1lqFb650VnJ-rGr4wUyHxGRetj_DHj-ZuB2oFR8uk0VK1fa3qP0uY1DBe7K59hvK6qzzU11IuqIZF6WmpyjurlvNogxh1Mey0VEwt206yvQ0FunofZliuVi2ZcoQBfu5qZ8a0FVibGU6jfSvp9hD9a0SY5j5r8XQQWPlK7ukWfVE1DUXu41/s412/6.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="392" data-original-width="412" height="380" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjzE-1sy1lqFb650VnJ-rGr4wUyHxGRetj_DHj-ZuB2oFR8uk0VK1fa3qP0uY1DBe7K59hvK6qzzU11IuqIZF6WmpyjurlvNogxh1Mey0VEwt206yvQ0FunofZliuVi2ZcoQBfu5qZ8a0FVibGU6jfSvp9hD9a0SY5j5r8XQQWPlK7ukWfVE1DUXu41/w400-h380/6.png" width="400" /></a></div><br /><div><div><b><span style="font-size: medium;">6. Aneka Rupa Perintah R</span></b></div><div>Selain fungsi yang berhubungan dengan penanganan file seperti membaca file skrip, menyimpan file keluaran, mencetak komentar dan variabel, ada juga fungsi lain di seperti yang ada pada Tabel dibawah ini.</div></div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEimi6QzOvFFTU_7yEhkBYFB2EhrKuk4hvLrjHcs10lKfb2IjC7wqy8DMUvQ83N2B1fduc4e8thDNR6G9Fus-BU5QrtJd_3V0trDWL7R5nASBQq8WHaNl_Tj0L0sKEMMyNcZE1pa-NJ61__LB4VFAawLTNKgnMCYXkm7mwmBjyUvS5EjhCxViOQ0cQjn/s438/7.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="381" data-original-width="438" height="348" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEimi6QzOvFFTU_7yEhkBYFB2EhrKuk4hvLrjHcs10lKfb2IjC7wqy8DMUvQ83N2B1fduc4e8thDNR6G9Fus-BU5QrtJd_3V0trDWL7R5nASBQq8WHaNl_Tj0L0sKEMMyNcZE1pa-NJ61__LB4VFAawLTNKgnMCYXkm7mwmBjyUvS5EjhCxViOQ0cQjn/w400-h348/7.png" width="400" /></a></div><br /><div><div>Contoh: Misalkan kita ingin mencetak keluaran yang sekaligus memuat komentar atau nama beserta nilainya, seperti “Jika x = 2 dan y = 3 maka hasil kali x dengan y adalah 6. Skrip untuk program ini adalah sebagai berikut</div><div><br /></div><div>x<-2</div><div>y<-3</div><div>cat("Hasil kali x dengan y adalah",x*y)</div><div>out: Hasil kali x dengan y adalah 6</div><div><br /></div><div>Contoh: Untuk menjalankan contoh yang ada pada fungsi linear model lm() maka perintahnya adalah</div><div>example(lm) dan sebagian hasil luaran yang terjadi adalah:</div><div><br /></div><div>> example(lm)</div><div class="separator" style="clear: both; text-align: center;"><br /><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh1vLGSgR9JkBYnA-B6-7B8C87tqY08iut9kyctGg_Z2rkZuBGQLb5U3ywYk7E68AmApvL5C87AvmO2U1t1ermsSd4Pm-C6wbVCK3Nf3LnAP0vkQ69Oj-zwajx9ShJ_kBY0-V1eAFrQ1hGmxmhwxtuh9AH7YonnHLH5tYA36olkTLfJf51wqeoX7LRZ/s498/8.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="471" data-original-width="498" height="379" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh1vLGSgR9JkBYnA-B6-7B8C87tqY08iut9kyctGg_Z2rkZuBGQLb5U3ywYk7E68AmApvL5C87AvmO2U1t1ermsSd4Pm-C6wbVCK3Nf3LnAP0vkQ69Oj-zwajx9ShJ_kBY0-V1eAFrQ1hGmxmhwxtuh9AH7YonnHLH5tYA36olkTLfJf51wqeoX7LRZ/w400-h379/8.png" width="400" /></a><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiS4p7JT_MD_9x7c_bGlg8_TO1Jaf2QupA-kbL1FmVY20M8aMIAZ2JAQWhEbnFnknG-AwYcUZYHt8QoEf82DCrJEEsrn52hb05b7VgzFTCS4Fs59qgxEUCfPC_reaksozqPO_fYer96sgicJYpjz0pSWjHgnJloUwwte7ShG84Y6e7rLa4gelfFHtT7/s397/8.1.PNG" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="381" data-original-width="397" height="384" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiS4p7JT_MD_9x7c_bGlg8_TO1Jaf2QupA-kbL1FmVY20M8aMIAZ2JAQWhEbnFnknG-AwYcUZYHt8QoEf82DCrJEEsrn52hb05b7VgzFTCS4Fs59qgxEUCfPC_reaksozqPO_fYer96sgicJYpjz0pSWjHgnJloUwwte7ShG84Y6e7rLa4gelfFHtT7/w400-h384/8.1.PNG" width="400" /></a></div></div><br /><div>Sekian terkait fungsi penting dalam R. ditunggu post selanjutnya ya</div></div><div><br /></div><div>Sumber : Buku Panduan Program Statistika R, by I Made Tirta</div>Jimmy Pujosenohttp://www.blogger.com/profile/17973647737656365646noreply@blogger.com0tag:blogger.com,1999:blog-7652763575876291773.post-89984189685878937562022-05-05T11:04:00.003+07:002022-05-31T15:53:11.359+07:00Fungsi Penting dalam R Part I<p>R telah dilengkapi dengan banyak fungsi yang bisa digunakan untuk operasi matematika. Selain fungsi-fungsi yang terdapat dalam paket standar, banyak fungsi yang didefinisikan dalam library R.</p><p></p><b><span style="font-size: medium;">1. Fungsi Dasar Matematika</span></b><div><br /><div>Beberapa fungsi dasar telah ada seperti base di dalam R. Fungsi-fungsi tersebut bisa dilihat pada Tabel dibawah. Di bawah ini beberapa contoh penerapan dari fungsi dasar matematika.</div><div><br /></div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjTJ7lfh4LwVyd9U4ztw6w9a-BjljU4Nr9NDdxTb5H1HLVkpiwZKH-vU-oydpDy779lyfCFcsbpGwGI52FyaxyX_JeQHZ976zHz0hk8oSRMUoQFst-hGhrz9YAbpUy-QViiwAmSegsruybBuS7re5CES5CuE2dfveZRK9-kWG7vu9kK4Z2h3cYJyqGJ/s464/1.png" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="350" data-original-width="464" height="241" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjTJ7lfh4LwVyd9U4ztw6w9a-BjljU4Nr9NDdxTb5H1HLVkpiwZKH-vU-oydpDy779lyfCFcsbpGwGI52FyaxyX_JeQHZ976zHz0hk8oSRMUoQFst-hGhrz9YAbpUy-QViiwAmSegsruybBuS7re5CES5CuE2dfveZRK9-kWG7vu9kK4Z2h3cYJyqGJ/s320/1.png" width="320" /></a></div><div style="text-align: left;"><br /><b><span style="font-size: medium;">2. Operasi Vektor dan Matriks</span></b></div><div style="text-align: left;"><br /></div><div style="text-align: left;"><div>Matriks dan vektor yang dimensinya sama, operasi hitung bisa dilakukan. Khusus untuk opersi vektor dan matriks, R memiliki operasi dasar seperti yang ditunjukkan dibawah ini.</div><div>Contoh : Misalkan ingin membentuk barisan dengan nilai awal 0, nilai akhir 10 dan banyak data 8, maka syntax dan hasilnya adalah sebagai berikut.</div><div><br /></div><div><div>>x<-seq(0,10,length=8)</div><div><br /></div><div>x [1]</div><div><br /></div><div>0.000000 1.428571 2.857143 4.285714 5.714286 7.142857 8.571429</div><div><br /></div><div>[8] 10.000000</div><div><br /></div><div>Kemudian di bawah ini kita coba mengulang huruf (A,B,C) sebanyak 5 kali</div><div><br /></div><div>> rep(c("A","B","C"),5)</div><div><br /></div><div>[1] "A" "B" "C" "A" "B" "C" "A" "B" "C" "A" "B" "C" "A" "B" "C"</div><div><br /></div><div>Kemudian di bawah ini kita coba mengulang angka 1 sebanyak 5 kali , 2 sebanyak 5 kali dan 3 sebanyak 5 kali.</div><div><br /></div><div>> rep(1:3,each=5)</div><div><br /></div><div>[1] 1 1 1 1 1 2 2 2 2 2 3 3 3 3 3</div><div><br /></div><div>Kemudian di bawah ini kita coba mengulang angka 1 sampai 3 sebanyak 5 kali.</div><div><br /></div><div>> rep(1:3,5)</div><div><br /></div><div>[1] 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3</div><div><br /></div><div>Kemudian di bawah ini kita coba mengulang angka 1; 2 kali , 2 ;2 kali dan 3; 2 kali dan angka tersebut di ulang sebanyak 5 kali.</div><div><br /></div><div>> rep(1:3,each=2,5)</div><div><br /></div><div>[1] 1 1 2 2 3 3 1 1 2 2 3 3 1 1 2 2 3 3 1 1 2 2 3 3 1 1 2 2 3 3</div><div><br /></div><div>Beberapa cara pembulatan pecahan desimal dengan berbagai perintah berikut.</div><div>Untuk angka diatas 0,5 dibulatkan ke atas</div><div><br /></div><div>round(x)</div><div><br /></div><div>[1] 0 1 3 4 6 7 9 10</div><div><br /></div><div>Untuk angka dibulatkan ke bawah</div><div><br /></div><div>>floor(x)</div><div><br /></div><div>[1] 0 1 2 4 5 7 8 10</div><div><br /></div><div>Untuk angka dibulatkan ke atas</div><div><br /></div><div>> ceiling(x)</div><div><br /></div><div>[1] 0 2 3 5 6 8 9 10</div><div><br /></div><div>Untuk fungsi signif angka akan merubah digit angka missal 3 digit</div><div><br /></div><div>>signif(x,3) [1] 0.00 1.43 2.86 4.29 5.71 7.14 8.57 10.00</div><div><br /></div><div>Merubah angka menjadi 4 digit</div><div><br /></div><div>> signif(x,4)</div><div><br /></div><div>[1] 0.000 1.429 2.857 4.286 5.714 7.143 8.571 10.000</div></div><div><br /></div><div style="text-align: center;">Daftar Operasi Vektor dan Matriks dalam R. </div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEihqAoMweXzjnz_sgvnTU21nlFHaS9WexUPUuLc9fCor677b0JycIgZXnprQ7Yngq_Xt87bQp-eUpQOmMCAXNP4FJf-YwVFZE1tVIe7naBd8QJovx1BHPpXCB69y7AxBaf9l9NcGh0RISrdbwq--XH75XCL7cubyKnaQm8R9ycFNlA0qlRHWJjfPCSR/s457/2.png" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="446" data-original-width="457" height="312" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEihqAoMweXzjnz_sgvnTU21nlFHaS9WexUPUuLc9fCor677b0JycIgZXnprQ7Yngq_Xt87bQp-eUpQOmMCAXNP4FJf-YwVFZE1tVIe7naBd8QJovx1BHPpXCB69y7AxBaf9l9NcGh0RISrdbwq--XH75XCL7cubyKnaQm8R9ycFNlA0qlRHWJjfPCSR/s320/2.png" width="320" /></a></div><div class="separator" style="clear: both; text-align: left;"><br /></div><div>Contoh: Misalnya, kita memiliki dua vektor, yaitu X = 4,5,3,6 dengan ukuran 4x1</div><div>Dan Y =2,4,3,6 dengan ukuran 4x1 juga , maka hasil berbagai operasi hitung biasa antara kedua vector adalah</div><div><br /></div><div>> x<-matrix(c(4,5,3,6),4,1)</div><div>> y<-matrix(c(2,4,3,6),4,1)</div><div><br /></div><div>Perkalian</div><div>> x*y</div><div>[,1]</div><div>[1,] <span style="white-space: pre;"> </span>8</div><div>[2,] <span style="white-space: pre;"> </span>20</div><div>[3,]<span style="white-space: pre;"> </span> 9</div><div>[4,] <span style="white-space: pre;"> </span>36</div><div><br /></div><div>Pembagian</div><div><div>> x/y</div><div>[,1]</div><div>[1,] <span style="white-space: pre;"> </span>2.00</div><div>[2,] <span style="white-space: pre;"> </span>1.25</div><div>[3,] <span style="white-space: pre;"> </span>1.00</div><div>[4,] <span style="white-space: pre;"> </span>1.00</div><div><br /></div><div>Log</div><div>> sum(log(x))</div><div>[1] 5.886104</div><div>> prod(log(x))</div><div>[1] 4.39191 </div><div><br /></div><div>Hasil beberapa operasi vektor atau matriks seperti berikut.</div><div>Perkalian tranpose</div><div>> x%*%t(y)</div><div>[,1] [,2] [,3] [,4]</div><div>[1,] <span style="white-space: pre;"> </span> 8 16 12 24</div><div>[2,] <span style="white-space: pre;"> </span>10 20 15 30</div><div>[3,] <span style="white-space: pre;"> </span> 6 12 9 18</div><div>[4,] <span style="white-space: pre;"> </span>12 24 18 36 </div><div><br /></div><div>> t(x)%*%y</div><div>[,1]</div><div>[1,] <span style="white-space: pre;"> </span>73</div><div><br /></div><div>Perkalian inverse, tranpose</div><div>>solve(t(x)%*%y)</div><div>[,1]</div><div>[1,] <span style="white-space: pre;"> </span>0.01369863</div><div><br /></div><div>Baris ke 2</div><div>> x[2]</div><div>[1] 5</div></div><div style="text-align: center;"><br /></div><div style="text-align: left;"><br /></div><div><b><span style="font-size: medium;">3. Fungsi Dasar Statistika</span></b></div><div><br /></div><div>Selain fungsi dasar dalam matematika, R juga mempunyai fungsi dasar yang biasa digunakan dalam statistika. Variabel dalam fungsi statistika ini berupa vektor data. Fungsi – fungsi ini bisa dilihat di table di bawah</div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjmaN9UqkCv1DGdO6s9SFz2PQH-q_0FyR5DWxnohw5so9K4zCU3YP8EnpQRDOBmKyzxuU4fg1nKxL1drSG6krKf_khNguKk5Wg8f2KlfJy-br7ouJ3TAQfGlsoQRQ8bQC_9NmptNX1mEwA0BZOubScZ-BUZmgXLV-5i_1sIDjyJ7oJrfc5lWrYwLJMQ/s447/3.png" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="152" data-original-width="447" height="109" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjmaN9UqkCv1DGdO6s9SFz2PQH-q_0FyR5DWxnohw5so9K4zCU3YP8EnpQRDOBmKyzxuU4fg1nKxL1drSG6krKf_khNguKk5Wg8f2KlfJy-br7ouJ3TAQfGlsoQRQ8bQC_9NmptNX1mEwA0BZOubScZ-BUZmgXLV-5i_1sIDjyJ7oJrfc5lWrYwLJMQ/s320/3.png" width="320" /></a></div><br /><div><div>Contoh : missal ada dua vektor X, Y seperti pada contoh sebelumnya. Jika masing-masing vektor diperlakukan sebagai data, maka hasil terhadap beberapa fungsi statistika diatas adalah:</div><div><br /></div><div>Menghitung nilai min</div><div>> min(x)</div><div>[1] 3</div><div><br /></div><div>Menghitung nilai max</div><div>> max(y)</div><div>[1] 6</div><div><br /></div><div>Menghitung nilai rata - rata</div><div>> mean(x)</div><div>[1] 4.5</div><div><br /></div><div>Menghitung variansi</div><div>> var(y)</div><div><span> </span><span> </span>[,1]</div><div>[1,] <span style="white-space: pre;"> </span>2.916667</div><div><br /></div><div>Menghitung korelasi</div><div>> cor(x,y)</div><div>[,1]</div><div>[1,] <span style="white-space: pre;"> </span>0.8315218</div><div><br /></div><div>Melihat range</div><div>> range(x)</div><div>[1] 3 6</div><div><br /></div><div>> range(y)</div><div>[1] 2 6</div><div><br /></div><div>Simulasi Tos Uang logam</div><div>> sample(0:1,30,replace=T) </div><div>[1] 0 1 1 1 1 0 0 1 1 1 1 0 0 1 0 0 0 0 1 0 0 1 1 1 0 1 0 0 0 1</div><div><br /></div><div>> sample(c("A","G"),15,replace=T)</div><div>[1] "G" "G" "A" "A" "G" "G" "A" "A" "G" "G" "G" "A" "A" "G" "G"</div><div><br /></div><div>Simulasi Tos Dadu</div><div>> sample(1:6,30,replace=T) </div><div>[1] 6 3 2 6 4 1 1 4 2 3 6 5 3 4 3 4 2 3 1 4 1 5 3 5 1 5 1 6 4 1</div></div><div><br /></div><div>Next Part 2 is <a href="https://thinkstudioo.blogspot.com/2022/05/fungsi-penting-dalam-r-part-2.html" target="_blank">Here</a></div><div>Sumber : Buku Panduan Program Statistika R, by I Made Tirta</div><div><br /></div></div><p></p></div>Jimmy Pujosenohttp://www.blogger.com/profile/17973647737656365646noreply@blogger.com0tag:blogger.com,1999:blog-7652763575876291773.post-73149837955875789892021-07-28T08:21:00.000+07:002022-05-31T15:49:57.981+07:00Belajar Pandas Part II (Series)<p>Next kita lanjut part 2 nya ya,</p><p></p><p class="MsoNormal" style="margin-bottom: 0cm; text-align: justify;">Cara lain untuk
berpikir tentang Deret adalah sebagai dict berurutan dengan panjang tetap,
karena ini adalah pemetaan dari nilai indeks ke nilai data. Itu dapat diganti
menjadi banyak fungsi yang mengharapkan dict:<o:p></o:p></p>
<p class="MsoNormal" style="margin-bottom: 0cm; text-align: justify;">In [18]: 'b' in
obj<o:p></o:p></p>
<p class="MsoNormal" style="margin-bottom: 0cm; text-align: justify;">Out[18]: True<o:p></o:p></p>
<p class="MsoNormal" style="margin-bottom: 0cm; text-align: justify;">In [19]: 'e' in
obj<o:p></o:p></p>
<p class="MsoNormal" style="margin-bottom: 0cm; text-align: justify;">Out[19]: False<span lang="EN-US" style="mso-ansi-language: EN-US;"><o:p></o:p></span></p>
<p class="MsoNormal" style="margin-bottom: 0cm; text-align: justify;">Jika kita
memiliki data yang terkandung dalam dict Python, kita dapat membuat Series
darinya dengan melewati dict:<o:p></o:p></p>
<p class="MsoNormal" style="margin-bottom: 0cm; text-align: justify;">In [20]: sdata
= {'Ohio': 35000, 'Texas': 71000, 'Oregon': 16000, 'Utah': 5000}<o:p></o:p></p>
<p class="MsoNormal" style="margin-bottom: 0cm; text-align: justify;">In [21]: obj3 =
pd.Series(sdata)<o:p></o:p></p>
<p class="MsoNormal" style="margin-bottom: 0cm; text-align: justify;">In [22]: obj3<o:p></o:p></p>
<p class="MsoNormal" style="margin-bottom: 0cm; text-align: justify;">Out[22]: <o:p></o:p></p>
<p class="MsoNormal" style="margin-bottom: 0cm; text-align: justify;">Ohio <span style="mso-tab-count: 2;"> </span>35000<o:p></o:p></p>
<p class="MsoNormal" style="margin-bottom: 0cm; text-align: justify;">Oregon <span style="mso-tab-count: 2;"> </span>16000<o:p></o:p></p>
<p class="MsoNormal" style="margin-bottom: 0cm; text-align: justify;">Texas <span style="mso-tab-count: 2;"> </span>71000<o:p></o:p></p>
<p class="MsoNormal" style="margin-bottom: 0cm; text-align: justify;">Utah <span style="mso-tab-count: 2;"> </span>5000<o:p></o:p></p>
<p class="MsoNormal" style="margin-bottom: 0cm; text-align: justify;"><o:p></o:p></p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiflBeVzQIZaFCw_pAodURzlnb-SIUbYk5qPL73-QmPpmBYEIdisA4FAUOp1P1lSSY1t4L7C3U32ceFh56-oohj7O_FX7ckiw1xHvJeEPJaL-BtfkEBAQqbqSmzxyCFwg1OwuQ2ltrrZLw/s1080/pandas+1.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="675" data-original-width="1080" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiflBeVzQIZaFCw_pAodURzlnb-SIUbYk5qPL73-QmPpmBYEIdisA4FAUOp1P1lSSY1t4L7C3U32ceFh56-oohj7O_FX7ckiw1xHvJeEPJaL-BtfkEBAQqbqSmzxyCFwg1OwuQ2ltrrZLw/s320/pandas+1.jpg" width="320" /></a></div><br /> <p></p>
<p class="MsoNormal" style="margin-bottom: 0cm; text-align: justify;">Ketika hanya
melewati dict, indeks di Series yang dihasilkan akan memiliki function dict di urutan
yang diurutkan.<o:p></o:p></p>
<p class="MsoNormal" style="margin-bottom: 0cm; text-align: justify;">In [23]: states
= ['California', 'Ohio', 'Oregon', 'Texas']<o:p></o:p></p>
<p class="MsoNormal" style="margin-bottom: 0cm; text-align: justify;">In [24]: obj4 =
pd.Series(sdata, index=states)<o:p></o:p></p>
<p class="MsoNormal" style="margin-bottom: 0cm; text-align: justify;">In [25]: obj4<o:p></o:p></p>
<p class="MsoNormal" style="margin-bottom: 0cm; text-align: justify;">Out[25]: <o:p></o:p></p>
<p class="MsoNormal" style="margin-bottom: 0cm; text-align: justify;">California <span> </span>NaN<o:p></o:p></p>
<p class="MsoNormal" style="margin-bottom: 0cm; text-align: justify;">Ohio <span> <span> </span><span> </span></span>35000<o:p></o:p></p>
<p class="MsoNormal" style="margin-bottom: 0cm; text-align: justify;">Oregon <span> </span><span> </span>16000<o:p></o:p></p>
<p class="MsoNormal" style="margin-bottom: 0cm; text-align: justify;">Texas <span> </span><span> </span><span> </span>71000<o:p></o:p></p>
<p class="MsoNormal" style="margin-bottom: 0cm; text-align: justify;"><o:p> </o:p></p>
<p class="MsoNormal" style="margin-bottom: 0cm; text-align: justify;">Dalam hal ini,
3 nilai yang ditemukan di sdata ditempatkan di lokasi yang sesuai, tetapi
karena tidak ada nilai untuk 'California' yang ditemukan, itu muncul sebagai
NaN (bukan angka) yang dianggap dalam pandas untuk menandai nilai yang hilang
atau NA. kita akan menggunakan istilah "missing" atau "NA" untuk
merujuk pada data yang hilang. Fungsi isnull dan notnull di pandas digunakan
untuk mendeteksi data yang hilang:<o:p></o:p></p>
<p class="MsoNormal" style="margin-bottom: 0cm; text-align: justify;">In [26]:
pd.isnull(obj4) <o:p></o:p></p>
<p class="MsoNormal" style="margin-bottom: 0cm; text-align: justify;">Out[26]: <o:p></o:p></p>
<p class="MsoNormal" style="margin-bottom: 0cm; text-align: justify;">California <span> </span>True
<o:p></o:p></p>
<p class="MsoNormal" style="margin-bottom: 0cm; text-align: justify;">Ohio <span> </span><span> </span><span> </span>False <o:p></o:p></p>
<p class="MsoNormal" style="margin-bottom: 0cm; text-align: justify;">Oregon <span> </span><span> </span>False <o:p></o:p></p>
<p class="MsoNormal" style="margin-bottom: 0cm; text-align: justify;">Texas <span> </span><span> </span><span> </span>False<o:p></o:p></p>
<p class="MsoNormal" style="margin-bottom: 0cm; text-align: justify;">In [27]:
pd.notnull(obj4)<o:p></o:p></p>
<p class="MsoNormal" style="margin-bottom: 0cm; text-align: justify;">Out[27]: <o:p></o:p></p>
<p class="MsoNormal" style="margin-bottom: 0cm; text-align: justify;">California
<span> </span>False<o:p></o:p></p>
<p class="MsoNormal" style="margin-bottom: 0cm; text-align: justify;">Ohio <span> </span><span> </span><span> </span>True <o:p></o:p></p>
<p class="MsoNormal" style="margin-bottom: 0cm; text-align: justify;">Oregon <span> </span><span> </span>True <o:p></o:p></p>
<p class="MsoNormal" style="margin-bottom: 0cm; text-align: justify;">Texas <span> </span><span> </span><span> </span>True<o:p></o:p></p>
<p class="MsoNormal" style="margin-bottom: 0cm; text-align: justify;"><o:p> </o:p></p>
<p class="MsoNormal" style="margin-bottom: 0cm; text-align: justify;">Series juga
memiliki ini sebagai metode instan:<o:p></o:p></p>
<p class="MsoNormal" style="margin-bottom: 0cm; text-align: justify;">In [28]:
obj4.isnull()<o:p></o:p></p>
<p class="MsoNormal" style="margin-bottom: 0cm; text-align: justify;">Out[28]: <o:p></o:p></p>
<p class="MsoNormal" style="margin-bottom: 0cm; text-align: justify;">California <span> </span>True<o:p></o:p></p>
<p class="MsoNormal" style="margin-bottom: 0cm; text-align: justify;">Ohio <span> </span><span> </span><span> </span>False<o:p></o:p></p>
<p class="MsoNormal" style="margin-bottom: 0cm; text-align: justify;">Oregon <span> </span><span> </span>False<o:p></o:p></p>
<p class="MsoNormal" style="margin-bottom: 0cm; text-align: justify;">Texas <span> </span><span> </span><span> </span>False<o:p></o:p></p>
<p class="MsoNormal" style="margin-bottom: 0cm; text-align: justify;">Fitur Series
penting untuk banyak aplikasi adalah ia secara otomatis menyelaraskan/alignment
data yang diindeks secara berbeda dalam operasi aritmatika:<o:p></o:p></p>
<p class="MsoNormal" style="margin-bottom: 0cm; text-align: justify;">In [29]: obj3 <o:p></o:p></p>
<p class="MsoNormal" style="margin-bottom: 0cm; text-align: justify;">Out[29]: <o:p></o:p></p>
<p class="MsoNormal" style="margin-bottom: 0cm; text-align: justify;">Ohio <span> </span><span> </span>35000 <o:p></o:p></p>
<p class="MsoNormal" style="margin-bottom: 0cm; text-align: justify;">Oregon <span> </span>16000 <o:p></o:p></p>
<p class="MsoNormal" style="margin-bottom: 0cm; text-align: justify;">Texas <span> </span><span> </span>71000 <o:p></o:p></p>
<p class="MsoNormal" style="margin-bottom: 0cm; text-align: justify;">Utah <span> </span><span> </span>5000 <o:p></o:p></p>
<p class="MsoNormal" style="margin-bottom: 0cm; text-align: justify;"><span style="mso-spacerun: yes;"> </span>In [30]: obj4 <o:p></o:p></p>
<p class="MsoNormal" style="margin-bottom: 0cm; text-align: justify;">Out[30]:<o:p></o:p></p>
<p class="MsoNormal" style="margin-bottom: 0cm; text-align: justify;">California <span> </span>NaN<o:p></o:p></p>
<p class="MsoNormal" style="margin-bottom: 0cm; text-align: justify;">Ohio <span> </span><span> </span><span> </span>35000<o:p></o:p></p>
<p class="MsoNormal" style="margin-bottom: 0cm; text-align: justify;">Oregon <span> </span><span> </span>16000<o:p></o:p></p>
<p class="MsoNormal" style="margin-bottom: 0cm; text-align: justify;">Texas <span> </span><span> </span><span> </span>71000<o:p></o:p></p>
<p class="MsoNormal" style="margin-bottom: 0cm; text-align: justify;"><o:p> </o:p></p>
<p class="MsoNormal" style="margin-bottom: 0cm; text-align: justify;"><o:p> </o:p></p>
<p class="MsoNormal" style="margin-bottom: 0cm; text-align: justify;">In [31]: obj3 +
obj4<o:p></o:p></p>
<p class="MsoNormal" style="margin-bottom: 0cm; text-align: justify;">Out[31]: <o:p></o:p></p>
<p class="MsoNormal" style="margin-bottom: 0cm; text-align: justify;">California <span> </span>NaN<o:p></o:p></p>
<p class="MsoNormal" style="margin-bottom: 0cm; text-align: justify;">Ohio <span> </span><span> </span><span> </span>70000<o:p></o:p></p>
<p class="MsoNormal" style="margin-bottom: 0cm; text-align: justify;">Oregon <span> </span><span> </span>32000<o:p></o:p></p>
<p class="MsoNormal" style="margin-bottom: 0cm; text-align: justify;">Texas <span> </span><span> </span><span> </span>142000 <o:p></o:p></p>
<p class="MsoNormal" style="margin-bottom: 0cm; text-align: justify;">Utah <span> </span><span> </span><span> </span>NaN<o:p></o:p></p>
<p class="MsoNormal" style="margin-bottom: 0cm; text-align: justify;">Baik objek Series
itu sendiri dan indeksnya memiliki atribut, yang terintegrasi dengan<o:p></o:p></p>
<p class="MsoNormal" style="margin-bottom: 0cm; text-align: justify;">area utama
fungsionalitas pandas lainnya:<o:p></o:p></p>
<p class="MsoNormal" style="margin-bottom: 0cm; text-align: justify;">In [32]:
obj4.name = 'population'<o:p></o:p></p>
<p class="MsoNormal" style="margin-bottom: 0cm; text-align: justify;">In [33]:
obj4.index.name = 'state'<o:p></o:p></p>
<p class="MsoNormal" style="margin-bottom: 0cm; text-align: justify;">In [34]: obj4<o:p></o:p></p>
<p class="MsoNormal" style="margin-bottom: 0cm; text-align: justify;">Out[34]: <o:p></o:p></p>
<p class="MsoNormal" style="margin-bottom: 0cm; text-align: justify;">state<o:p></o:p></p>
<p class="MsoNormal" style="margin-bottom: 0cm; text-align: justify;">California <span style="mso-tab-count: 1;"> </span>NaN<o:p></o:p></p>
<p class="MsoNormal" style="margin-bottom: 0cm; text-align: justify;">Ohio <span style="mso-tab-count: 1;"> </span><span style="mso-tab-count: 1;"> </span>35000<o:p></o:p></p>
<p class="MsoNormal" style="margin-bottom: 0cm; text-align: justify;">Oregon <span style="mso-tab-count: 2;"> </span>16000<o:p></o:p></p>
<p class="MsoNormal" style="margin-bottom: 0cm; text-align: justify;">Texas <span style="mso-tab-count: 2;"> </span>71000<o:p></o:p></p>
<p class="MsoNormal" style="margin-bottom: 0cm; text-align: justify;">Name: <span style="mso-tab-count: 1;"> </span>population<o:p></o:p></p>
<p class="MsoNormal" style="margin-bottom: 0cm; text-align: justify;"><o:p></o:p></p>
<p class="MsoNormal" style="margin-bottom: 0cm; text-align: justify;">Indeks Series
dapat diubah di tempat dengan penugasan/assignment:<o:p></o:p></p>
<p class="MsoNormal" style="margin-bottom: 0cm; text-align: justify;">In [35]:
obj.index = ['Bob', 'Steve', 'Jeff', 'Ryan']<o:p></o:p></p>
<p class="MsoNormal" style="margin-bottom: 0cm; text-align: justify;">In [36]: obj<o:p></o:p></p>
<p class="MsoNormal" style="margin-bottom: 0cm; text-align: justify;">Out[36]: <o:p></o:p></p>
<p class="MsoNormal" style="margin-bottom: 0cm; text-align: justify;">Bob<span style="mso-spacerun: yes;"> </span><span style="mso-tab-count: 1;"> </span>4<o:p></o:p></p>
<p class="MsoNormal" style="margin-bottom: 0cm; text-align: justify;">Steve<span style="mso-spacerun: yes;"> </span><span style="mso-tab-count: 1;"> </span>3<o:p></o:p></p>
<p class="MsoNormal" style="margin-bottom: 0cm; text-align: justify;">Jeff<span style="mso-spacerun: yes;"> </span><span style="mso-tab-count: 1;"> </span>-6<o:p></o:p></p>
<p class="MsoNormal" style="margin-bottom: 0cm; text-align: justify;">Ryan<span style="mso-spacerun: yes;"> </span><span style="mso-tab-count: 1;"> </span>9<o:p></o:p></p>
<p class="MsoNormal" style="margin-bottom: 0cm; text-align: justify;"><br /></p><p></p>Jimmy Pujosenohttp://www.blogger.com/profile/17973647737656365646noreply@blogger.com1tag:blogger.com,1999:blog-7652763575876291773.post-20940534864287576152021-07-14T07:36:00.003+07:002022-05-31T15:49:57.980+07:00Belajar Pandas Part I (Series)<p>Pandas menjadi library utama yang menarik, ini berisi struktur data tingkat tinggi dan alat manipulasi yang dirancang untuk membuat data analisis cepat dan mudah dengan Python. pandas dibangun di atas NumPy dan membuatnya mudah untuk digunakan dalam aplikasi NumPy-sentris.</p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEic2eFKap_Jz6rngfGLL9NtnOa5k6DoNvciqNmO6Q8tcn_QfrcAlVhmxKo3PsXYLqmtM3r4TzSp3QD4F9Kh4JQLqxZtCsd5BCrWjVX6U4ylFeDEVB_tY6ML9JfmDWQktG-1CN_eBByfbR8/s1080/pandas+1.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="675" data-original-width="1080" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEic2eFKap_Jz6rngfGLL9NtnOa5k6DoNvciqNmO6Q8tcn_QfrcAlVhmxKo3PsXYLqmtM3r4TzSp3QD4F9Kh4JQLqxZtCsd5BCrWjVX6U4ylFeDEVB_tY6ML9JfmDWQktG-1CN_eBByfbR8/s320/pandas+1.jpg" width="320" /></a></div><p></p><p>Untuk memulai dengan pandas, kamu harus merasa nyaman dengan dua workhorse struktur data yaitu Series dan DataFrame. Meskipun mereka bukan solusi universal untuk setiap problem yang ada, mereka memberikan dasar yang kokoh dan mudah digunakan untuk sebagian besar aplikasi.</p><p><b><span style="font-size: medium;">Series</span></b></p><p>Series adalah objek seperti array satu dimensi yang berisi data array (Tipe data NumPy) dan array dari label data terkait. Yang paling sederhana Series terbentuk hanya dari array data:</p><p>In [4]: </p><p>import pandas as pd</p><p>object = pd.Series([4,3,-6,7])</p><p>In [5]: object</p><p>Out[5]: </p><p>0 <span style="white-space: pre;"> </span>4</p><p>1 <span style="white-space: pre;"> </span> 3</p><p>2 <span style="white-space: pre;"> </span>-6</p><p>3 <span style="white-space: pre;"> </span>7</p><p>Representasi string dari Series yang ditampilkan secara interaktif menunjukkan indeks di sebelah kiri dan nilai-nilai di sebelah kanan. Karena kita tidak menentukan indeks untuk data, default yang terdiri dari bilangan bulat 0 hingga N - 1 (di mana N adalah panjang data). Kita bisa mendapatkan representasi array dan objek indeks dari Series melalui nilainya dan atribut indeks, masing-masing:</p><p>In [6]: object.values</p><p>Out[6]: array([ 4, 3, -6, 7], dtype=int64)</p><p>In [7]: object.index</p><p>Out[7]: RangeIndex(start=0, stop=4, step=1)</p><p><br /></p><p>Seringkali akan diinginkan untuk membuat Series dengan indeks yang mengidentifikasi setiap data point :</p><p>In [8]: obj = pd.Series([4,3,-6,7], index=['d', 'b', 'a', 'c'])</p><p>In [9]: obj</p><p>Out[9]: </p><p>d 4</p><p>b 3</p><p>a -6</p><p>c 7</p><p>In [10]: obj.index</p><p>Out[10]: Index(['d', 'b', 'a', 'c'], dtype='object')</p><p><br /></p><p>Dibandingkan dengan array NumPy biasa, kita dapat menggunakan nilai dalam indeks saat memilih</p><p>nilai tunggal atau sekumpulan nilai:</p><p>In [11]: obj['a']</p><p>Out[11]: -6</p><p>In [12]: obj['c'] =9</p><p>In [13]: obj[['c', 'a', 'd']]</p><p>Out[13]: </p><p>c 9</p><p>a -6</p><p>d 4</p><div><div>Operasi NumPy array, seperti filtering dengan array boolean, perkalian skalar,</div><div>atau menerapkan fungsi matematika, akan mempertahankan link indeks-value :</div><div>In [14]: obj2</div><div>Out[14]: </div><div>d 4</div><div>b 3</div><div>a -6</div><div>c 9</div><div><br /></div><div>In [15]: obj[obj > 0]</div><div>Out[15]: </div><div>d 4</div><div>b 3</div><div>c 9</div><div><br /></div><div>In [16]: obj * 2</div><div>Out[16]: </div><div>d 8</div><div>b 6</div><div>a -12</div><div>c 18</div><div><br /></div><div>In [17]: </div><div>import numpy as np</div><div>np.exp(obj)</div><div>Out[17]:</div><div>d 54.598150</div><div>b 20.085537</div><div>a 0.002479</div><div>c 8103.083928</div></div><div><br /></div><div>Next part 2 ya, see you</div>Jimmy Pujosenohttp://www.blogger.com/profile/17973647737656365646noreply@blogger.com0tag:blogger.com,1999:blog-7652763575876291773.post-1606469205626919732020-11-16T07:07:00.007+07:002022-05-31T15:53:59.767+07:00Analisis Faktor Menggunakan R<p><span style="font-size: large;"><b>1. Definisi Analisis Factor</b></span></p><p>Analisis faktor adalah sebuah teknik yang digunakan untuk mencari faktor-faktor yang mampu menjelaskan hubungan atau korelasi antara berbagai indikator independen yang diobservasi. Analisis faktor merupakan perluasan dari analisis komponen utama. Analisis faktor digunakan untuk mengidentifikasi sejumlah faktor yang relatif kecil yang dapat digunakan untuk menjelaskan sejumlah besar variabel yang saling berhubungan. Sehingga variabel-variabel dalam satu faktor mempunyai korelasi yang tinggi, sedangkan korelasi dengan variabel-variabel pada faktor lain relatif rendah. Tiap-tiap kelompok dari variabel mewakili suatu konstruksi dasar yang disebut faktor. Untuk meningkatkan daya interpretasi faktor, harus dilakukan transformasi pada matriks loading. Transformasi dilakukan dengan merotasi matriks tersebut dengan metode varimax, quartimax, equamax, quartimin, biquartimin dancovarimin serta oblimin.</p><p><span style="font-size: large;"><b>2. Tujuan Analisis Faktor</b></span></p><p>Tujuan utama analisis faktor adalah untuk menjelaskan struktur hubungan di antara banyak variabel dalam bentuk faktor atau vaiabel laten atau variabel bentukan. Faktor yang terbentuk merupakan besaran acak (random quantities) yang sebelumnya tidak dapat diamati atau diukur atau ditentukan secara langsung. Berikut adalah tujuan lainnya</p><p>Untuk mereduksi sejumlah variabel asal yang jumlahnya banyak menjadi sejumlah variabel baru yang jumlahnya lebih sedikit dari variabel asal, dan variabel baru tersebut dinamakan faktor atau variabel laten atau konstruk atau variabel bentukan. </p><p>Untuk mengidentifikasi adanya hubungan antarvariabel penyusun faktor atau dimensi dengan faktor yang terbentuk, dengan menggunakan pengujian koefisien korelasi antarfaktor dengan komponen pembentuknya. Analisis faktor ini disebut analisis faktor kofirmatori. </p><p>Untuk menguji valisitas dan reliabilitas instrumen dengan analisis faktor konfirmatori. </p><p>Validasi data untuk mengetahui apakah hasil analisis faktor tersebut dapat digeneralisasi ke dalam populasinya, sehingga setelah terbentuk faktor, maka peneliti sudah mempunyai suatu hipotesis baru berdasarkan hasil analisis faktor. </p><div>Kita kali ini akan melakukan analisis faktor pada data kesehatan penduduk di Jawa Timur. Tujuannya nanti akan didapatkan faktor baru yang dapat merepresentasikan variabel-variabel penyusun indeks kesehatan penduduk di Jawa Timur.</div><div><br /></div><div><table border="0" cellpadding="0" cellspacing="0" class="MsoNormalTable" style="border-collapse: collapse; margin-left: 5.4pt; mso-padding-alt: 0cm 5.4pt 0cm 5.4pt; mso-yfti-tbllook: 1184; width: 654px;">
<tbody><tr style="height: 15pt; mso-yfti-firstrow: yes; mso-yfti-irow: 0;">
<td nowrap="" style="border: 1pt solid windowtext; height: 15pt; mso-border-alt: solid windowtext .5pt; padding: 0cm 5.4pt; width: 24.25pt;" valign="bottom" width="32">
<p align="center" class="MsoNormal" style="margin-bottom: 0cm; text-align: center;"><b><span lang="EN-US" style="font-family: "Times New Roman", serif;">No<o:p></o:p></span></b></p>
</td>
<td nowrap="" style="border-left: none; border: 1pt solid windowtext; height: 15pt; mso-border-bottom-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0cm 5.4pt; width: 71.5pt;" valign="bottom" width="95">
<p align="center" class="MsoNormal" style="margin-bottom: 0cm; text-align: center;"><b><span lang="EN-US" style="font-family: "Times New Roman", serif;">Kota<o:p></o:p></span></b></p>
</td>
<td nowrap="" style="border-left: none; border: 1pt solid windowtext; height: 15pt; mso-border-bottom-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0cm 5.4pt; width: 31.85pt;" valign="bottom" width="42">
<p align="center" class="MsoNormal" style="margin-bottom: 0cm; text-align: center;"><b><span lang="EN-US" style="font-family: "Times New Roman", serif;">X1<o:p></o:p></span></b></p>
</td>
<td nowrap="" style="border-left: none; border: 1pt solid windowtext; height: 15pt; mso-border-bottom-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0cm 5.4pt; width: 1cm;" valign="bottom" width="38">
<p align="center" class="MsoNormal" style="margin-bottom: 0cm; text-align: center;"><b><span lang="EN-US" style="font-family: "Times New Roman", serif;">X2<o:p></o:p></span></b></p>
</td>
<td nowrap="" style="border-left: none; border: 1pt solid windowtext; height: 15pt; mso-border-bottom-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0cm 5.4pt; width: 43.95pt;" valign="bottom" width="59">
<p align="center" class="MsoNormal" style="margin-bottom: 0cm; text-align: center;"><b><span lang="EN-US" style="font-family: "Times New Roman", serif;">X3<o:p></o:p></span></b></p>
</td>
<td nowrap="" style="border-left: none; border: 1pt solid windowtext; height: 15pt; mso-border-bottom-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0cm 5.4pt; width: 42.55pt;" valign="bottom" width="57">
<p align="center" class="MsoNormal" style="margin-bottom: 0cm; text-align: center;"><b><span lang="EN-US" style="font-family: "Times New Roman", serif;">X4<o:p></o:p></span></b></p>
</td>
<td nowrap="" style="border-left: none; border: 1pt solid windowtext; height: 15pt; mso-border-bottom-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0cm 5.4pt; width: 35.4pt;" valign="bottom" width="47">
<p align="center" class="MsoNormal" style="margin-bottom: 0cm; text-align: center;"><b><span lang="EN-US" style="font-family: "Times New Roman", serif;">X5<o:p></o:p></span></b></p>
</td>
<td nowrap="" style="border-left: none; border: 1pt solid windowtext; height: 15pt; mso-border-bottom-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0cm 5.4pt; width: 42.55pt;" valign="bottom" width="57">
<p align="center" class="MsoNormal" style="margin-bottom: 0cm; text-align: center;"><b><span lang="EN-US" style="font-family: "Times New Roman", serif;">X6<o:p></o:p></span></b></p>
</td>
<td nowrap="" style="border-left: none; border: 1pt solid windowtext; height: 15pt; mso-border-bottom-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0cm 5.4pt; width: 42.5pt;" valign="bottom" width="57">
<p align="center" class="MsoNormal" style="margin-bottom: 0cm; text-align: center;"><b><span lang="EN-US" style="font-family: "Times New Roman", serif;">X7<o:p></o:p></span></b></p>
</td>
<td nowrap="" style="border-left: none; border: 1pt solid windowtext; height: 15pt; mso-border-bottom-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0cm 5.4pt; width: 42.55pt;" valign="bottom" width="57">
<p align="center" class="MsoNormal" style="margin-bottom: 0cm; text-align: center;"><b><span lang="EN-US" style="font-family: "Times New Roman", serif;">X8<o:p></o:p></span></b></p>
</td>
<td nowrap="" style="border-left: none; border: 1pt solid windowtext; height: 15pt; mso-border-bottom-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0cm 5.4pt; width: 42.5pt;" valign="bottom" width="57">
<p align="center" class="MsoNormal" style="margin-bottom: 0cm; text-align: center;"><b><span lang="EN-US" style="font-family: "Times New Roman", serif;">X9<o:p></o:p></span></b></p>
</td>
<td nowrap="" style="border-left: none; border: 1pt solid windowtext; height: 15pt; mso-border-bottom-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0cm 5.4pt; width: 42.55pt;" valign="bottom" width="57">
<p align="center" class="MsoNormal" style="margin-bottom: 0cm; text-align: center;"><b><span lang="EN-US" style="font-family: "Times New Roman", serif;">X10<o:p></o:p></span></b></p>
</td>
</tr>
<tr style="height: 15pt; mso-yfti-irow: 1;">
<td nowrap="" style="border-top: none; border: 1pt solid windowtext; height: 15pt; mso-border-bottom-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; padding: 0cm 5.4pt; width: 24.25pt;" valign="bottom" width="32">
<p align="center" class="MsoNormal" style="margin-bottom: 0cm; text-align: center;"><span lang="EN-US" style="font-family: "Times New Roman", serif;">1<o:p></o:p></span></p>
</td>
<td nowrap="" style="border-bottom: 1pt solid windowtext; border-left: none; border-right: 1pt solid windowtext; border-top: none; height: 15pt; mso-border-bottom-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; padding: 0cm 5.4pt; width: 71.5pt;" valign="bottom" width="95">
<p class="MsoNormal" style="margin-bottom: 0cm;"><span lang="EN-US" style="font-family: "Times New Roman", serif;">Pacitan<o:p></o:p></span></p>
</td>
<td nowrap="" style="border-bottom: 1pt solid windowtext; border-left: none; border-right: 1pt solid windowtext; border-top: none; height: 15pt; mso-border-bottom-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; padding: 0cm 5.4pt; width: 31.85pt;" valign="bottom" width="42">
<p align="center" class="MsoNormal" style="margin-bottom: 0cm; text-align: center;"><span lang="EN-US" style="font-family: "Times New Roman", serif;">67.6<o:p></o:p></span></p>
</td>
<td nowrap="" style="border-bottom: 1pt solid windowtext; border-left: none; border-right: 1pt solid windowtext; border-top: none; height: 15pt; mso-border-bottom-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; padding: 0cm 5.4pt; width: 1cm;" valign="bottom" width="38">
<p align="center" class="MsoNormal" style="margin-bottom: 0cm; text-align: center;"><span lang="EN-US" style="font-family: "Times New Roman", serif;">46<o:p></o:p></span></p>
</td>
<td nowrap="" style="border-bottom: 1pt solid windowtext; border-left: none; border-right: 1pt solid windowtext; border-top: none; height: 15pt; mso-border-bottom-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; padding: 0cm 5.4pt; width: 43.95pt;" valign="bottom" width="59">
<p align="center" class="MsoNormal" style="margin-bottom: 0cm; text-align: center;"><span lang="EN-US" style="font-family: "Times New Roman", serif;">8<o:p></o:p></span></p>
</td>
<td nowrap="" style="border-bottom: 1pt solid windowtext; border-left: none; border-right: 1pt solid windowtext; border-top: none; height: 15pt; mso-border-bottom-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; padding: 0cm 5.4pt; width: 42.55pt;" valign="bottom" width="57">
<p align="center" class="MsoNormal" style="margin-bottom: 0cm; text-align: center;"><span lang="EN-US" style="font-family: "Times New Roman", serif;">80.54<o:p></o:p></span></p>
</td>
<td nowrap="" style="border-bottom: 1pt solid windowtext; border-left: none; border-right: 1pt solid windowtext; border-top: none; height: 15pt; mso-border-bottom-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; padding: 0cm 5.4pt; width: 35.4pt;" valign="bottom" width="47">
<p align="center" class="MsoNormal" style="margin-bottom: 0cm; text-align: center;"><span lang="EN-US" style="font-family: "Times New Roman", serif;">4.23<o:p></o:p></span></p>
</td>
<td nowrap="" style="border-bottom: 1pt solid windowtext; border-left: none; border-right: 1pt solid windowtext; border-top: none; height: 15pt; mso-border-bottom-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; padding: 0cm 5.4pt; width: 42.55pt;" valign="bottom" width="57">
<p align="center" class="MsoNormal" style="margin-bottom: 0cm; text-align: center;"><span lang="EN-US" style="font-family: "Times New Roman", serif;">40385<o:p></o:p></span></p>
</td>
<td nowrap="" style="border-bottom: 1pt solid windowtext; border-left: none; border-right: 1pt solid windowtext; border-top: none; height: 15pt; mso-border-bottom-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; padding: 0cm 5.4pt; width: 42.5pt;" valign="bottom" width="57">
<p align="center" class="MsoNormal" style="margin-bottom: 0cm; text-align: center;"><span lang="EN-US" style="font-family: "Times New Roman", serif;">29.85<o:p></o:p></span></p>
</td>
<td nowrap="" style="border-bottom: 1pt solid windowtext; border-left: none; border-right: 1pt solid windowtext; border-top: none; height: 15pt; mso-border-bottom-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; padding: 0cm 5.4pt; width: 42.55pt;" valign="bottom" width="57">
<p align="center" class="MsoNormal" style="margin-bottom: 0cm; text-align: center;"><span lang="EN-US" style="font-family: "Times New Roman", serif;">57.87<o:p></o:p></span></p>
</td>
<td nowrap="" style="border-bottom: 1pt solid windowtext; border-left: none; border-right: 1pt solid windowtext; border-top: none; height: 15pt; mso-border-bottom-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; padding: 0cm 5.4pt; width: 42.5pt;" valign="bottom" width="57">
<p align="center" class="MsoNormal" style="margin-bottom: 0cm; text-align: center;"><span lang="EN-US" style="font-family: "Times New Roman", serif;">69.01<o:p></o:p></span></p>
</td>
<td nowrap="" style="border-bottom: 1pt solid windowtext; border-left: none; border-right: 1pt solid windowtext; border-top: none; height: 15pt; mso-border-bottom-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; padding: 0cm 5.4pt; width: 42.55pt;" valign="bottom" width="57">
<p align="center" class="MsoNormal" style="margin-bottom: 0cm; text-align: center;"><span lang="EN-US" style="font-family: "Times New Roman", serif;">7.6<o:p></o:p></span></p>
</td>
</tr>
<tr style="height: 15pt; mso-yfti-irow: 2;">
<td nowrap="" style="border-top: none; border: 1pt solid windowtext; height: 15pt; mso-border-bottom-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; padding: 0cm 5.4pt; width: 24.25pt;" valign="bottom" width="32">
<p align="center" class="MsoNormal" style="margin-bottom: 0cm; text-align: center;"><span lang="EN-US" style="font-family: "Times New Roman", serif;">2<o:p></o:p></span></p>
</td>
<td nowrap="" style="border-bottom: 1pt solid windowtext; border-left: none; border-right: 1pt solid windowtext; border-top: none; height: 15pt; mso-border-bottom-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; padding: 0cm 5.4pt; width: 71.5pt;" valign="bottom" width="95">
<p class="MsoNormal" style="margin-bottom: 0cm;"><span lang="EN-US" style="font-family: "Times New Roman", serif;">Ponorogo<o:p></o:p></span></p>
</td>
<td nowrap="" style="border-bottom: 1pt solid windowtext; border-left: none; border-right: 1pt solid windowtext; border-top: none; height: 15pt; mso-border-bottom-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; padding: 0cm 5.4pt; width: 31.85pt;" valign="bottom" width="42">
<p align="center" class="MsoNormal" style="margin-bottom: 0cm; text-align: center;"><span lang="EN-US" style="font-family: "Times New Roman", serif;">65.3<o:p></o:p></span></p>
</td>
<td nowrap="" style="border-bottom: 1pt solid windowtext; border-left: none; border-right: 1pt solid windowtext; border-top: none; height: 15pt; mso-border-bottom-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; padding: 0cm 5.4pt; width: 1cm;" valign="bottom" width="38">
<p align="center" class="MsoNormal" style="margin-bottom: 0cm; text-align: center;"><span lang="EN-US" style="font-family: "Times New Roman", serif;">52<o:p></o:p></span></p>
</td>
<td nowrap="" style="border-bottom: 1pt solid windowtext; border-left: none; border-right: 1pt solid windowtext; border-top: none; height: 15pt; mso-border-bottom-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; padding: 0cm 5.4pt; width: 43.95pt;" valign="bottom" width="59">
<p align="center" class="MsoNormal" style="margin-bottom: 0cm; text-align: center;"><span lang="EN-US" style="font-family: "Times New Roman", serif;">21.52<o:p></o:p></span></p>
</td>
<td nowrap="" style="border-bottom: 1pt solid windowtext; border-left: none; border-right: 1pt solid windowtext; border-top: none; height: 15pt; mso-border-bottom-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; padding: 0cm 5.4pt; width: 42.55pt;" valign="bottom" width="57">
<p align="center" class="MsoNormal" style="margin-bottom: 0cm; text-align: center;"><span lang="EN-US" style="font-family: "Times New Roman", serif;">77.23<o:p></o:p></span></p>
</td>
<td nowrap="" style="border-bottom: 1pt solid windowtext; border-left: none; border-right: 1pt solid windowtext; border-top: none; height: 15pt; mso-border-bottom-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; padding: 0cm 5.4pt; width: 35.4pt;" valign="bottom" width="47">
<p align="center" class="MsoNormal" style="margin-bottom: 0cm; text-align: center;"><span lang="EN-US" style="font-family: "Times New Roman", serif;">3.89<o:p></o:p></span></p>
</td>
<td nowrap="" style="border-bottom: 1pt solid windowtext; border-left: none; border-right: 1pt solid windowtext; border-top: none; height: 15pt; mso-border-bottom-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; padding: 0cm 5.4pt; width: 42.55pt;" valign="bottom" width="57">
<p align="center" class="MsoNormal" style="margin-bottom: 0cm; text-align: center;"><span lang="EN-US" style="font-family: "Times New Roman", serif;">38509<o:p></o:p></span></p>
</td>
<td nowrap="" style="border-bottom: 1pt solid windowtext; border-left: none; border-right: 1pt solid windowtext; border-top: none; height: 15pt; mso-border-bottom-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; padding: 0cm 5.4pt; width: 42.5pt;" valign="bottom" width="57">
<p align="center" class="MsoNormal" style="margin-bottom: 0cm; text-align: center;"><span lang="EN-US" style="font-family: "Times New Roman", serif;">75.04<o:p></o:p></span></p>
</td>
<td nowrap="" style="border-bottom: 1pt solid windowtext; border-left: none; border-right: 1pt solid windowtext; border-top: none; height: 15pt; mso-border-bottom-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; padding: 0cm 5.4pt; width: 42.55pt;" valign="bottom" width="57">
<p align="center" class="MsoNormal" style="margin-bottom: 0cm; text-align: center;"><span lang="EN-US" style="font-family: "Times New Roman", serif;">67.45<o:p></o:p></span></p>
</td>
<td nowrap="" style="border-bottom: 1pt solid windowtext; border-left: none; border-right: 1pt solid windowtext; border-top: none; height: 15pt; mso-border-bottom-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; padding: 0cm 5.4pt; width: 42.5pt;" valign="bottom" width="57">
<p align="center" class="MsoNormal" style="margin-bottom: 0cm; text-align: center;"><span lang="EN-US" style="font-family: "Times New Roman", serif;">75.92<o:p></o:p></span></p>
</td>
<td nowrap="" style="border-bottom: 1pt solid windowtext; border-left: none; border-right: 1pt solid windowtext; border-top: none; height: 15pt; mso-border-bottom-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; padding: 0cm 5.4pt; width: 42.55pt;" valign="bottom" width="57">
<p align="center" class="MsoNormal" style="margin-bottom: 0cm; text-align: center;"><span lang="EN-US" style="font-family: "Times New Roman", serif;">3.92<o:p></o:p></span></p>
</td>
</tr>
<tr style="height: 15pt; mso-yfti-irow: 3;">
<td nowrap="" style="border-top: none; border: 1pt solid windowtext; height: 15pt; mso-border-bottom-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; padding: 0cm 5.4pt; width: 24.25pt;" valign="bottom" width="32">
<p align="center" class="MsoNormal" style="margin-bottom: 0cm; text-align: center;"><span lang="EN-US" style="font-family: "Times New Roman", serif;">3<o:p></o:p></span></p>
</td>
<td nowrap="" style="border-bottom: 1pt solid windowtext; border-left: none; border-right: 1pt solid windowtext; border-top: none; height: 15pt; mso-border-bottom-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; padding: 0cm 5.4pt; width: 71.5pt;" valign="bottom" width="95">
<p class="MsoNormal" style="margin-bottom: 0cm;"><span lang="EN-US" style="font-family: "Times New Roman", serif;">Trenggalek<o:p></o:p></span></p>
</td>
<td nowrap="" style="border-bottom: 1pt solid windowtext; border-left: none; border-right: 1pt solid windowtext; border-top: none; height: 15pt; mso-border-bottom-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; padding: 0cm 5.4pt; width: 31.85pt;" valign="bottom" width="42">
<p align="center" class="MsoNormal" style="margin-bottom: 0cm; text-align: center;"><span lang="EN-US" style="font-family: "Times New Roman", serif;">68.7<o:p></o:p></span></p>
</td>
<td nowrap="" style="border-bottom: 1pt solid windowtext; border-left: none; border-right: 1pt solid windowtext; border-top: none; height: 15pt; mso-border-bottom-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; padding: 0cm 5.4pt; width: 1cm;" valign="bottom" width="38">
<p align="center" class="MsoNormal" style="margin-bottom: 0cm; text-align: center;"><span lang="EN-US" style="font-family: "Times New Roman", serif;">40<o:p></o:p></span></p>
</td>
<td nowrap="" style="border-bottom: 1pt solid windowtext; border-left: none; border-right: 1pt solid windowtext; border-top: none; height: 15pt; mso-border-bottom-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; padding: 0cm 5.4pt; width: 43.95pt;" valign="bottom" width="59">
<p align="center" class="MsoNormal" style="margin-bottom: 0cm; text-align: center;"><span lang="EN-US" style="font-family: "Times New Roman", serif;">22.97<o:p></o:p></span></p>
</td>
<td nowrap="" style="border-bottom: 1pt solid windowtext; border-left: none; border-right: 1pt solid windowtext; border-top: none; height: 15pt; mso-border-bottom-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; padding: 0cm 5.4pt; width: 42.55pt;" valign="bottom" width="57">
<p align="center" class="MsoNormal" style="margin-bottom: 0cm; text-align: center;"><span lang="EN-US" style="font-family: "Times New Roman", serif;">84.72<o:p></o:p></span></p>
</td>
<td nowrap="" style="border-bottom: 1pt solid windowtext; border-left: none; border-right: 1pt solid windowtext; border-top: none; height: 15pt; mso-border-bottom-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; padding: 0cm 5.4pt; width: 35.4pt;" valign="bottom" width="47">
<p align="center" class="MsoNormal" style="margin-bottom: 0cm; text-align: center;"><span lang="EN-US" style="font-family: "Times New Roman", serif;">4.37<o:p></o:p></span></p>
</td>
<td nowrap="" style="border-bottom: 1pt solid windowtext; border-left: none; border-right: 1pt solid windowtext; border-top: none; height: 15pt; mso-border-bottom-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; padding: 0cm 5.4pt; width: 42.55pt;" valign="bottom" width="57">
<p align="center" class="MsoNormal" style="margin-bottom: 0cm; text-align: center;"><span lang="EN-US" style="font-family: "Times New Roman", serif;">36468<o:p></o:p></span></p>
</td>
<td nowrap="" style="border-bottom: 1pt solid windowtext; border-left: none; border-right: 1pt solid windowtext; border-top: none; height: 15pt; mso-border-bottom-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; padding: 0cm 5.4pt; width: 42.5pt;" valign="bottom" width="57">
<p align="center" class="MsoNormal" style="margin-bottom: 0cm; text-align: center;"><span lang="EN-US" style="font-family: "Times New Roman", serif;">60.66<o:p></o:p></span></p>
</td>
<td nowrap="" style="border-bottom: 1pt solid windowtext; border-left: none; border-right: 1pt solid windowtext; border-top: none; height: 15pt; mso-border-bottom-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; padding: 0cm 5.4pt; width: 42.55pt;" valign="bottom" width="57">
<p align="center" class="MsoNormal" style="margin-bottom: 0cm; text-align: center;"><span lang="EN-US" style="font-family: "Times New Roman", serif;">49.6<o:p></o:p></span></p>
</td>
<td nowrap="" style="border-bottom: 1pt solid windowtext; border-left: none; border-right: 1pt solid windowtext; border-top: none; height: 15pt; mso-border-bottom-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; padding: 0cm 5.4pt; width: 42.5pt;" valign="bottom" width="57">
<p align="center" class="MsoNormal" style="margin-bottom: 0cm; text-align: center;"><span lang="EN-US" style="font-family: "Times New Roman", serif;">70.96<o:p></o:p></span></p>
</td>
<td nowrap="" style="border-bottom: 1pt solid windowtext; border-left: none; border-right: 1pt solid windowtext; border-top: none; height: 15pt; mso-border-bottom-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; padding: 0cm 5.4pt; width: 42.55pt;" valign="bottom" width="57">
<p align="center" class="MsoNormal" style="margin-bottom: 0cm; text-align: center;"><span lang="EN-US" style="font-family: "Times New Roman", serif;">10.29<o:p></o:p></span></p>
</td>
</tr>
<tr style="height: 15pt; mso-yfti-irow: 4;">
<td nowrap="" style="border-top: none; border: 1pt solid windowtext; height: 15pt; mso-border-bottom-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; padding: 0cm 5.4pt; width: 24.25pt;" valign="bottom" width="32">
<p align="center" class="MsoNormal" style="margin-bottom: 0cm; text-align: center;"><span lang="EN-US" style="font-family: "Times New Roman", serif;">4<o:p></o:p></span></p>
</td>
<td nowrap="" style="border-bottom: 1pt solid windowtext; border-left: none; border-right: 1pt solid windowtext; border-top: none; height: 15pt; mso-border-bottom-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; padding: 0cm 5.4pt; width: 71.5pt;" valign="bottom" width="95">
<p class="MsoNormal" style="margin-bottom: 0cm;"><span lang="EN-US" style="font-family: "Times New Roman", serif;">T.Agung<o:p></o:p></span></p>
</td>
<td nowrap="" style="border-bottom: 1pt solid windowtext; border-left: none; border-right: 1pt solid windowtext; border-top: none; height: 15pt; mso-border-bottom-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; padding: 0cm 5.4pt; width: 31.85pt;" valign="bottom" width="42">
<p align="center" class="MsoNormal" style="margin-bottom: 0cm; text-align: center;"><span lang="EN-US" style="font-family: "Times New Roman", serif;">68.4<o:p></o:p></span></p>
</td>
<td nowrap="" style="border-bottom: 1pt solid windowtext; border-left: none; border-right: 1pt solid windowtext; border-top: none; height: 15pt; mso-border-bottom-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; padding: 0cm 5.4pt; width: 1cm;" valign="bottom" width="38">
<p align="center" class="MsoNormal" style="margin-bottom: 0cm; text-align: center;"><span lang="EN-US" style="font-family: "Times New Roman", serif;">43<o:p></o:p></span></p>
</td>
<td nowrap="" style="border-bottom: 1pt solid windowtext; border-left: none; border-right: 1pt solid windowtext; border-top: none; height: 15pt; mso-border-bottom-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; padding: 0cm 5.4pt; width: 43.95pt;" valign="bottom" width="59">
<p align="center" class="MsoNormal" style="margin-bottom: 0cm; text-align: center;"><span lang="EN-US" style="font-family: "Times New Roman", serif;">28.74<o:p></o:p></span></p>
</td>
<td nowrap="" style="border-bottom: 1pt solid windowtext; border-left: none; border-right: 1pt solid windowtext; border-top: none; height: 15pt; mso-border-bottom-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; padding: 0cm 5.4pt; width: 42.55pt;" valign="bottom" width="57">
<p align="center" class="MsoNormal" style="margin-bottom: 0cm; text-align: center;"><span lang="EN-US" style="font-family: "Times New Roman", serif;">88.5<o:p></o:p></span></p>
</td>
<td nowrap="" style="border-bottom: 1pt solid windowtext; border-left: none; border-right: 1pt solid windowtext; border-top: none; height: 15pt; mso-border-bottom-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; padding: 0cm 5.4pt; width: 35.4pt;" valign="bottom" width="47">
<p align="center" class="MsoNormal" style="margin-bottom: 0cm; text-align: center;"><span lang="EN-US" style="font-family: "Times New Roman", serif;">4.75<o:p></o:p></span></p>
</td>
<td nowrap="" style="border-bottom: 1pt solid windowtext; border-left: none; border-right: 1pt solid windowtext; border-top: none; height: 15pt; mso-border-bottom-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; padding: 0cm 5.4pt; width: 42.55pt;" valign="bottom" width="57">
<p align="center" class="MsoNormal" style="margin-bottom: 0cm; text-align: center;"><span lang="EN-US" style="font-family: "Times New Roman", serif;">46760<o:p></o:p></span></p>
</td>
<td nowrap="" style="border-bottom: 1pt solid windowtext; border-left: none; border-right: 1pt solid windowtext; border-top: none; height: 15pt; mso-border-bottom-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; padding: 0cm 5.4pt; width: 42.5pt;" valign="bottom" width="57">
<p align="center" class="MsoNormal" style="margin-bottom: 0cm; text-align: center;"><span lang="EN-US" style="font-family: "Times New Roman", serif;">80.78<o:p></o:p></span></p>
</td>
<td nowrap="" style="border-bottom: 1pt solid windowtext; border-left: none; border-right: 1pt solid windowtext; border-top: none; height: 15pt; mso-border-bottom-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; padding: 0cm 5.4pt; width: 42.55pt;" valign="bottom" width="57">
<p align="center" class="MsoNormal" style="margin-bottom: 0cm; text-align: center;"><span lang="EN-US" style="font-family: "Times New Roman", serif;">77.39<o:p></o:p></span></p>
</td>
<td nowrap="" style="border-bottom: 1pt solid windowtext; border-left: none; border-right: 1pt solid windowtext; border-top: none; height: 15pt; mso-border-bottom-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; padding: 0cm 5.4pt; width: 42.5pt;" valign="bottom" width="57">
<p align="center" class="MsoNormal" style="margin-bottom: 0cm; text-align: center;"><span lang="EN-US" style="font-family: "Times New Roman", serif;">71.54<o:p></o:p></span></p>
</td>
<td nowrap="" style="border-bottom: 1pt solid windowtext; border-left: none; border-right: 1pt solid windowtext; border-top: none; height: 15pt; mso-border-bottom-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; padding: 0cm 5.4pt; width: 42.55pt;" valign="bottom" width="57">
<p align="center" class="MsoNormal" style="margin-bottom: 0cm; text-align: center;"><span lang="EN-US" style="font-family: "Times New Roman", serif;">8.07<o:p></o:p></span></p>
</td>
</tr>
<tr style="height: 15pt; mso-yfti-irow: 5;">
<td nowrap="" style="border-top: none; border: 1pt solid windowtext; height: 15pt; mso-border-bottom-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; padding: 0cm 5.4pt; width: 24.25pt;" valign="bottom" width="32">
<p align="center" class="MsoNormal" style="margin-bottom: 0cm; text-align: center;"><span lang="EN-US" style="font-family: "Times New Roman", serif;">5<o:p></o:p></span></p>
</td>
<td nowrap="" style="border-bottom: 1pt solid windowtext; border-left: none; border-right: 1pt solid windowtext; border-top: none; height: 15pt; mso-border-bottom-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; padding: 0cm 5.4pt; width: 71.5pt;" valign="bottom" width="95">
<p class="MsoNormal" style="margin-bottom: 0cm;"><span lang="EN-US" style="font-family: "Times New Roman", serif;">Blitar<o:p></o:p></span></p>
</td>
<td nowrap="" style="border-bottom: 1pt solid windowtext; border-left: none; border-right: 1pt solid windowtext; border-top: none; height: 15pt; mso-border-bottom-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; padding: 0cm 5.4pt; width: 31.85pt;" valign="bottom" width="42">
<p align="center" class="MsoNormal" style="margin-bottom: 0cm; text-align: center;"><span lang="EN-US" style="font-family: "Times New Roman", serif;">64.2<o:p></o:p></span></p>
</td>
<td nowrap="" style="border-bottom: 1pt solid windowtext; border-left: none; border-right: 1pt solid windowtext; border-top: none; height: 15pt; mso-border-bottom-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; padding: 0cm 5.4pt; width: 1cm;" valign="bottom" width="38">
<p align="center" class="MsoNormal" style="margin-bottom: 0cm; text-align: center;"><span lang="EN-US" style="font-family: "Times New Roman", serif;">55<o:p></o:p></span></p>
</td>
<td nowrap="" style="border-bottom: 1pt solid windowtext; border-left: none; border-right: 1pt solid windowtext; border-top: none; height: 15pt; mso-border-bottom-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; padding: 0cm 5.4pt; width: 43.95pt;" valign="bottom" width="59">
<p align="center" class="MsoNormal" style="margin-bottom: 0cm; text-align: center;"><span lang="EN-US" style="font-family: "Times New Roman", serif;">35.1<o:p></o:p></span></p>
</td>
<td nowrap="" style="border-bottom: 1pt solid windowtext; border-left: none; border-right: 1pt solid windowtext; border-top: none; height: 15pt; mso-border-bottom-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; padding: 0cm 5.4pt; width: 42.55pt;" valign="bottom" width="57">
<p align="center" class="MsoNormal" style="margin-bottom: 0cm; text-align: center;"><span lang="EN-US" style="font-family: "Times New Roman", serif;">84.92<o:p></o:p></span></p>
</td>
<td nowrap="" style="border-bottom: 1pt solid windowtext; border-left: none; border-right: 1pt solid windowtext; border-top: none; height: 15pt; mso-border-bottom-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; padding: 0cm 5.4pt; width: 35.4pt;" valign="bottom" width="47">
<p align="center" class="MsoNormal" style="margin-bottom: 0cm; text-align: center;"><span lang="EN-US" style="font-family: "Times New Roman", serif;">4.16<o:p></o:p></span></p>
</td>
<td nowrap="" style="border-bottom: 1pt solid windowtext; border-left: none; border-right: 1pt solid windowtext; border-top: none; height: 15pt; mso-border-bottom-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; padding: 0cm 5.4pt; width: 42.55pt;" valign="bottom" width="57">
<p align="center" class="MsoNormal" style="margin-bottom: 0cm; text-align: center;"><span lang="EN-US" style="font-family: "Times New Roman", serif;">43569<o:p></o:p></span></p>
</td>
<td nowrap="" style="border-bottom: 1pt solid windowtext; border-left: none; border-right: 1pt solid windowtext; border-top: none; height: 15pt; mso-border-bottom-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; padding: 0cm 5.4pt; width: 42.5pt;" valign="bottom" width="57">
<p align="center" class="MsoNormal" style="margin-bottom: 0cm; text-align: center;"><span lang="EN-US" style="font-family: "Times New Roman", serif;">67.92<o:p></o:p></span></p>
</td>
<td nowrap="" style="border-bottom: 1pt solid windowtext; border-left: none; border-right: 1pt solid windowtext; border-top: none; height: 15pt; mso-border-bottom-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; padding: 0cm 5.4pt; width: 42.55pt;" valign="bottom" width="57">
<p align="center" class="MsoNormal" style="margin-bottom: 0cm; text-align: center;"><span lang="EN-US" style="font-family: "Times New Roman", serif;">73.28<o:p></o:p></span></p>
</td>
<td nowrap="" style="border-bottom: 1pt solid windowtext; border-left: none; border-right: 1pt solid windowtext; border-top: none; height: 15pt; mso-border-bottom-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; padding: 0cm 5.4pt; width: 42.5pt;" valign="bottom" width="57">
<p align="center" class="MsoNormal" style="margin-bottom: 0cm; text-align: center;"><span lang="EN-US" style="font-family: "Times New Roman", serif;">70.24<o:p></o:p></span></p>
</td>
<td nowrap="" style="border-bottom: 1pt solid windowtext; border-left: none; border-right: 1pt solid windowtext; border-top: none; height: 15pt; mso-border-bottom-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; padding: 0cm 5.4pt; width: 42.55pt;" valign="bottom" width="57">
<p align="center" class="MsoNormal" style="margin-bottom: 0cm; text-align: center;"><span lang="EN-US" style="font-family: "Times New Roman", serif;">10.33<o:p></o:p></span></p>
</td>
</tr>
<tr style="height: 15pt; mso-yfti-irow: 6;">
<td nowrap="" style="border-top: none; border: 1pt solid windowtext; height: 15pt; mso-border-bottom-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; padding: 0cm 5.4pt; width: 24.25pt;" valign="bottom" width="32">
<p align="center" class="MsoNormal" style="margin-bottom: 0cm; text-align: center;"><span lang="EN-US" style="font-family: "Times New Roman", serif;">6<o:p></o:p></span></p>
</td>
<td nowrap="" style="border-bottom: 1pt solid windowtext; border-left: none; border-right: 1pt solid windowtext; border-top: none; height: 15pt; mso-border-bottom-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; padding: 0cm 5.4pt; width: 71.5pt;" valign="bottom" width="95">
<p class="MsoNormal" style="margin-bottom: 0cm;"><span lang="EN-US" style="font-family: "Times New Roman", serif;">Kediri<o:p></o:p></span></p>
</td>
<td nowrap="" style="border-bottom: 1pt solid windowtext; border-left: none; border-right: 1pt solid windowtext; border-top: none; height: 15pt; mso-border-bottom-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; padding: 0cm 5.4pt; width: 31.85pt;" valign="bottom" width="42">
<p align="center" class="MsoNormal" style="margin-bottom: 0cm; text-align: center;"><span lang="EN-US" style="font-family: "Times New Roman", serif;">65<o:p></o:p></span></p>
</td>
<td nowrap="" style="border-bottom: 1pt solid windowtext; border-left: none; border-right: 1pt solid windowtext; border-top: none; height: 15pt; mso-border-bottom-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; padding: 0cm 5.4pt; width: 1cm;" valign="bottom" width="38">
<p align="center" class="MsoNormal" style="margin-bottom: 0cm; text-align: center;"><span lang="EN-US" style="font-family: "Times New Roman", serif;">55<o:p></o:p></span></p>
</td>
<td nowrap="" style="border-bottom: 1pt solid windowtext; border-left: none; border-right: 1pt solid windowtext; border-top: none; height: 15pt; mso-border-bottom-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; padding: 0cm 5.4pt; width: 43.95pt;" valign="bottom" width="59">
<p align="center" class="MsoNormal" style="margin-bottom: 0cm; text-align: center;"><span lang="EN-US" style="font-family: "Times New Roman", serif;">32.92<o:p></o:p></span></p>
</td>
<td nowrap="" style="border-bottom: 1pt solid windowtext; border-left: none; border-right: 1pt solid windowtext; border-top: none; height: 15pt; mso-border-bottom-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; padding: 0cm 5.4pt; width: 42.55pt;" valign="bottom" width="57">
<p align="center" class="MsoNormal" style="margin-bottom: 0cm; text-align: center;"><span lang="EN-US" style="font-family: "Times New Roman", serif;">82.39<o:p></o:p></span></p>
</td>
<td nowrap="" style="border-bottom: 1pt solid windowtext; border-left: none; border-right: 1pt solid windowtext; border-top: none; height: 15pt; mso-border-bottom-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; padding: 0cm 5.4pt; width: 35.4pt;" valign="bottom" width="47">
<p align="center" class="MsoNormal" style="margin-bottom: 0cm; text-align: center;"><span lang="EN-US" style="font-family: "Times New Roman", serif;">4.32<o:p></o:p></span></p>
</td>
<td nowrap="" style="border-bottom: 1pt solid windowtext; border-left: none; border-right: 1pt solid windowtext; border-top: none; height: 15pt; mso-border-bottom-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; padding: 0cm 5.4pt; width: 42.55pt;" valign="bottom" width="57">
<p align="center" class="MsoNormal" style="margin-bottom: 0cm; text-align: center;"><span lang="EN-US" style="font-family: "Times New Roman", serif;">47364<o:p></o:p></span></p>
</td>
<td nowrap="" style="border-bottom: 1pt solid windowtext; border-left: none; border-right: 1pt solid windowtext; border-top: none; height: 15pt; mso-border-bottom-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; padding: 0cm 5.4pt; width: 42.5pt;" valign="bottom" width="57">
<p align="center" class="MsoNormal" style="margin-bottom: 0cm; text-align: center;"><span lang="EN-US" style="font-family: "Times New Roman", serif;">90.04<o:p></o:p></span></p>
</td>
<td nowrap="" style="border-bottom: 1pt solid windowtext; border-left: none; border-right: 1pt solid windowtext; border-top: none; height: 15pt; mso-border-bottom-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; padding: 0cm 5.4pt; width: 42.55pt;" valign="bottom" width="57">
<p align="center" class="MsoNormal" style="margin-bottom: 0cm; text-align: center;"><span lang="EN-US" style="font-family: "Times New Roman", serif;">87.28<o:p></o:p></span></p>
</td>
<td nowrap="" style="border-bottom: 1pt solid windowtext; border-left: none; border-right: 1pt solid windowtext; border-top: none; height: 15pt; mso-border-bottom-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; padding: 0cm 5.4pt; width: 42.5pt;" valign="bottom" width="57">
<p align="center" class="MsoNormal" style="margin-bottom: 0cm; text-align: center;"><span lang="EN-US" style="font-family: "Times New Roman", serif;">81.59<o:p></o:p></span></p>
</td>
<td nowrap="" style="border-bottom: 1pt solid windowtext; border-left: none; border-right: 1pt solid windowtext; border-top: none; height: 15pt; mso-border-bottom-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; padding: 0cm 5.4pt; width: 42.55pt;" valign="bottom" width="57">
<p align="center" class="MsoNormal" style="margin-bottom: 0cm; text-align: center;"><span lang="EN-US" style="font-family: "Times New Roman", serif;">12.52<o:p></o:p></span></p>
</td>
</tr>
<tr style="height: 15pt; mso-yfti-irow: 7; mso-yfti-lastrow: yes;">
<td nowrap="" style="border-top: none; border: 1pt solid windowtext; height: 15pt; mso-border-bottom-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; padding: 0cm 5.4pt; width: 24.25pt;" valign="bottom" width="32">
<p align="center" class="MsoNormal" style="margin-bottom: 0cm; text-align: center;"><span lang="EN-US" style="font-family: "Times New Roman", serif;">7<o:p></o:p></span></p>
</td>
<td nowrap="" style="border-bottom: 1pt solid windowtext; border-left: none; border-right: 1pt solid windowtext; border-top: none; height: 15pt; mso-border-bottom-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; padding: 0cm 5.4pt; width: 71.5pt;" valign="bottom" width="95">
<p class="MsoNormal" style="margin-bottom: 0cm;"><span lang="EN-US" style="font-family: "Times New Roman", serif;">Malang<o:p></o:p></span></p>
</td>
<td nowrap="" style="border-bottom: 1pt solid windowtext; border-left: none; border-right: 1pt solid windowtext; border-top: none; height: 15pt; mso-border-bottom-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; padding: 0cm 5.4pt; width: 31.85pt;" valign="bottom" width="42">
<p align="center" class="MsoNormal" style="margin-bottom: 0cm; text-align: center;"><span lang="EN-US" style="font-family: "Times New Roman", serif;">66.4<o:p></o:p></span></p>
</td>
<td nowrap="" style="border-bottom: 1pt solid windowtext; border-left: none; border-right: 1pt solid windowtext; border-top: none; height: 15pt; mso-border-bottom-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; padding: 0cm 5.4pt; width: 1cm;" valign="bottom" width="38">
<p align="center" class="MsoNormal" style="margin-bottom: 0cm; text-align: center;"><span lang="EN-US" style="font-family: "Times New Roman", serif;">55<o:p></o:p></span></p>
</td>
<td nowrap="" style="border-bottom: 1pt solid windowtext; border-left: none; border-right: 1pt solid windowtext; border-top: none; height: 15pt; mso-border-bottom-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; padding: 0cm 5.4pt; width: 43.95pt;" valign="bottom" width="59">
<p align="center" class="MsoNormal" style="margin-bottom: 0cm; text-align: center;"><span lang="EN-US" style="font-family: "Times New Roman", serif;">24.96<o:p></o:p></span></p>
</td>
<td nowrap="" style="border-bottom: 1pt solid windowtext; border-left: none; border-right: 1pt solid windowtext; border-top: none; height: 15pt; mso-border-bottom-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; padding: 0cm 5.4pt; width: 42.55pt;" valign="bottom" width="57">
<p align="center" class="MsoNormal" style="margin-bottom: 0cm; text-align: center;"><span lang="EN-US" style="font-family: "Times New Roman", serif;">83.88<o:p></o:p></span></p>
</td>
<td nowrap="" style="border-bottom: 1pt solid windowtext; border-left: none; border-right: 1pt solid windowtext; border-top: none; height: 15pt; mso-border-bottom-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; padding: 0cm 5.4pt; width: 35.4pt;" valign="bottom" width="47">
<p align="center" class="MsoNormal" style="margin-bottom: 0cm; text-align: center;"><span lang="EN-US" style="font-family: "Times New Roman", serif;">4.11<o:p></o:p></span></p>
</td>
<td nowrap="" style="border-bottom: 1pt solid windowtext; border-left: none; border-right: 1pt solid windowtext; border-top: none; height: 15pt; mso-border-bottom-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; padding: 0cm 5.4pt; width: 42.55pt;" valign="bottom" width="57">
<p align="center" class="MsoNormal" style="margin-bottom: 0cm; text-align: center;"><span lang="EN-US" style="font-family: "Times New Roman", serif;">42213<o:p></o:p></span></p>
</td>
<td nowrap="" style="border-bottom: 1pt solid windowtext; border-left: none; border-right: 1pt solid windowtext; border-top: none; height: 15pt; mso-border-bottom-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; padding: 0cm 5.4pt; width: 42.5pt;" valign="bottom" width="57">
<p align="center" class="MsoNormal" style="margin-bottom: 0cm; text-align: center;"><span lang="EN-US" style="font-family: "Times New Roman", serif;">81.39<o:p></o:p></span></p>
</td>
<td nowrap="" style="border-bottom: 1pt solid windowtext; border-left: none; border-right: 1pt solid windowtext; border-top: none; height: 15pt; mso-border-bottom-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; padding: 0cm 5.4pt; width: 42.55pt;" valign="bottom" width="57">
<p align="center" class="MsoNormal" style="margin-bottom: 0cm; text-align: center;"><span lang="EN-US" style="font-family: "Times New Roman", serif;">81.82<o:p></o:p></span></p>
</td>
<td nowrap="" style="border-bottom: 1pt solid windowtext; border-left: none; border-right: 1pt solid windowtext; border-top: none; height: 15pt; mso-border-bottom-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; padding: 0cm 5.4pt; width: 42.5pt;" valign="bottom" width="57">
<p align="center" class="MsoNormal" style="margin-bottom: 0cm; text-align: center;"><span lang="EN-US" style="font-family: "Times New Roman", serif;">74.7<o:p></o:p></span></p>
</td>
<td nowrap="" style="border-bottom: 1pt solid windowtext; border-left: none; border-right: 1pt solid windowtext; border-top: none; height: 15pt; mso-border-bottom-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; padding: 0cm 5.4pt; width: 42.55pt;" valign="bottom" width="57">
<p align="center" class="MsoNormal" style="margin-bottom: 0cm; text-align: center;"><span lang="EN-US" style="font-family: "Times New Roman", serif;">19.31<o:p></o:p></span></p>
</td>
</tr>
</tbody></table><br /></div><div><div>KeteranganVariabel: <span style="white-space: pre;"> </span></div><div>X1 <span style="white-space: pre;"> </span>: Angka Harapan Hidup (th)</div><div>X2<span style="white-space: pre;"> </span>: Angka Kematian Bayi (bayi/1000 kelahiran hidup)</div><div>X3<span style="white-space: pre;"> </span>: Presentase Keluhan Kesehatan (%)</div><div>X4<span style="white-space: pre;"> </span>: Presentase Angka Melek Huruf (%)</div><div>X5<span style="white-space: pre;"> </span>: Rata-rata Lama Sekolah (th)</div><div>X6<span style="white-space: pre;"> </span>: Pengeluaran Rata-rata Perkapita (ribu)</div><div>X7<span style="white-space: pre;"> </span>: Prosentase Rumah Tangga Pemakai Listrik (%)</div><div>X8<span style="white-space: pre;"> </span>: Prosentase Rumah Tangga dengan Sumber Air Minum Bersih (%)</div><div>X9<span style="white-space: pre;"> </span>: Prosentase Rumah Tangga dengan Dinding Tembok Kayu (%)</div><div>X10<span style="white-space: pre;"> </span>: Prosentase Rumah Tangga dengan Luas Lantai Perkapita (≤10m2 (%))</div></div><div><br /></div><div>Diatas merupakan sample data yang digunakan, untuk lengkapnya bisa download <a href="https://github.com/pujoseno/Analysis-Faktor">DISINI.</a></div><div><div><br /></div><div>Kita terlebih dahulu meng-copy data yang berada di Microsoft Excel yang akan dimasukkan kedalam program R, setelah kita meng-copy datanya, lalu ketikkan syntax berikut:</div><div><div>#Panggildata</div><div>data <- read.delim("clipboard") #membaca data yang di copy</div><div>head(data) #untuk melihat head data</div></div><div><br /></div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEivjvRSncMqw9WnrihhXoz6sXvgpi7Z_9BRZQAu5HAU8unBH3_jGnRehXf2uf88lUfgCv26RlHuZX_x3LeZxZsZf3KQcngUMU_sffcb2C4_T8S17_Dcel67pqPITf0iayyri7-yWZJCF3Q/s579/2.PNG" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="122" data-original-width="579" height="84" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEivjvRSncMqw9WnrihhXoz6sXvgpi7Z_9BRZQAu5HAU8unBH3_jGnRehXf2uf88lUfgCv26RlHuZX_x3LeZxZsZf3KQcngUMU_sffcb2C4_T8S17_Dcel67pqPITf0iayyri7-yWZJCF3Q/w400-h84/2.PNG" width="400" /></a></div><div><br /></div><div>Untuk menangani data missing, salah satu cara yang dapat digunakan adalah menghapus baris data yang memuat missing dengan syntax:</div><div># Menghapus row data yang kosong atau missing</div><div>databaru <- na.omit(data)</div><div>summary(databaru)</div><div><br /></div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhVT1pVByeVXxQD2U2aoh-gCjkKXbuP9Ctk8BLnxl_gWokhCcuZKz8CV4o-BMnDEpKe9r8vweMffoVVxWbRA4F-iLx0_GbnZ4i3irq0T_JeCqYnUyegGbSI4ezZrht1bjaNA2FWPPCoxRQ/s784/3.PNG" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="249" data-original-width="784" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhVT1pVByeVXxQD2U2aoh-gCjkKXbuP9Ctk8BLnxl_gWokhCcuZKz8CV4o-BMnDEpKe9r8vweMffoVVxWbRA4F-iLx0_GbnZ4i3irq0T_JeCqYnUyegGbSI4ezZrht1bjaNA2FWPPCoxRQ/s320/3.PNG" width="320" /></a></div><div><br /></div><div>Setelah kita melihat summary data, selanjutnya mendeteksi data outlier. Sebelum mendeteksi data outlier, kita mengambil data yang akan dideteksi outlier nya terlebih dahulu dengan mengetikkan syntax berikut:</div><div>library(MVN)</div><div>hasil=mvOutlier(databaru, qqplot=T, method="quan")</div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjuCrtHaVLhUCpReZy5sdqfpMcn0PmorDxwx5GttCvErlCswcHhoZNAawkVLAOS497n8iot_KIYUSB3Vwr2tEzu0DQPu5fjR2wmEpMUYQDr8VO4jVJbGScRIU-7Drn8cM9KLf49NwCqr4E/s552/4.png" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="552" data-original-width="552" height="400" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjuCrtHaVLhUCpReZy5sdqfpMcn0PmorDxwx5GttCvErlCswcHhoZNAawkVLAOS497n8iot_KIYUSB3Vwr2tEzu0DQPu5fjR2wmEpMUYQDr8VO4jVJbGScRIU-7Drn8cM9KLf49NwCqr4E/w400-h400/4.png" width="400" /></a></div><div class="separator" style="clear: both; text-align: left;">Plot tersebut menunjukkan bahwa terdapat 11 data yang termasuk kedalam data outlier dari total data berjumlah 37 data.</div><div class="separator" style="clear: both; text-align: left;"><br /></div><div>Untuk menangani data outlier, cara yang dapat digunakan adalah menghapus baris data yang memuat outlier dengan cara ketikkan syntax:</div><div>newdata=hasil$newData</div><div><span style="text-align: center;"> </span></div><div>Lalu kita juga dapat melihat summary data tanpa data missing dan outlier.</div><div>summary(newdata)</div><div><br /></div><div>Sebelum kita melakukan uji KMO dan uji Barlett, terlebih dahulu membuat fungsi sebagai berikut.</div></div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh6AxEL4p0jFsTt5v_ivdtL01pbe60QZM3IdsJznQrZLRqYYr6l473A0zcTpDu4uqJ96Tv2_muQj7J8j-OadJq-AyjEurY4NeaT1AUrpeWMfCuOFLWevVT_uEu0QMlihpoH7nPqTXKBts0/s649/1.png" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="472" data-original-width="649" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh6AxEL4p0jFsTt5v_ivdtL01pbe60QZM3IdsJznQrZLRqYYr6l473A0zcTpDu4uqJ96Tv2_muQj7J8j-OadJq-AyjEurY4NeaT1AUrpeWMfCuOFLWevVT_uEu0QMlihpoH7nPqTXKBts0/s16000/1.png" /></a></div><br /><div><div>Selanjutnya, kita dapat menghitung korelasi, lakukan uji KMO dan Uji Barlett. Syntax nya adalah:</div><div>cor(newdata)</div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg6QcpxrOf4wjj_rXoMF18vz-mz5ghed8cU95tb_XVOb7BuTCmpsGO2ifGiY4bI3aCpfz790SKN3fXtj82WowzimXn_ZnC3I_MXs9DfU-jySByxJOSI6Us_4EoCjuaRBzbroaaWThA-Db8/s644/5.png" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="323" data-original-width="644" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg6QcpxrOf4wjj_rXoMF18vz-mz5ghed8cU95tb_XVOb7BuTCmpsGO2ifGiY4bI3aCpfz790SKN3fXtj82WowzimXn_ZnC3I_MXs9DfU-jySByxJOSI6Us_4EoCjuaRBzbroaaWThA-Db8/s16000/5.png" /></a></div><br /><div>Output diatas menunjukkan bahwa matriks diagonal korelasi selalu bernilai 1 karena variabel tersebut berkorelasi dengan dirinya sendiri sehingga nilai korelasinya adalah 1. Misalkan diambil contoh korelasi antara X2 (Angka kematian bayi) dan X1 (Angka harapan hidup) nilai korelasinya adalah -0,8580975. Hubungan yang terbentuk antara X2 dan X1 bersifat negatif dan lemah, artinya semakin tinggi tingkat angka harapan hidup maka kemungkinan untuk angka kematian bayi tersebut akan semakin rendah. Jika diambil contoh lagi antara X5 (rata-rata lama sekolah) dan X4 (persentase angka melek huruf) nilai korelasinya adalah 0,9270303. Hubungan yang terbentuk adalah positif dan kuat, yang artinya semakin tinggi lama sekolah, maka kemungkinan persentase angka melek huruf juga semakin tinggi</div><div><br /></div><div>kmo(newdata)</div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgMC4UXvtFLx_086CMB3kaMgjZacgfe-mKtou3XAM7i5iv4vL90Cwr67LK5F9nAdekTeqw0GEcEgEqTuN5taBVz8aOC1dygjRIwlTtJ0Va0bbUiZinq9TUyvqCJT3LxsP-cL_fGVvnjXog/s643/6.png" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="20" data-original-width="643" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgMC4UXvtFLx_086CMB3kaMgjZacgfe-mKtou3XAM7i5iv4vL90Cwr67LK5F9nAdekTeqw0GEcEgEqTuN5taBVz8aOC1dygjRIwlTtJ0Va0bbUiZinq9TUyvqCJT3LxsP-cL_fGVvnjXog/s16000/6.png" /></a></div><div>Berikut uji hipotesis yang dilakukan untuk uji bartlett :</div><div>1.Hipotesis</div><div><br /></div><div>H0: Data tidak terdapat korelasi dari semua pertanyaan</div><div>H1: Paling sedikit terdapat satu korelasi</div><div><br /></div><div>2.Signifikasi</div><div>α: 0.05</div><div><br /></div><div>3.Daerah kritis</div><div><br /></div><div>H0 ditolak jika P-value < α</div><div><br /></div><div>4.Statistik Uji</div><div><br /></div><div>P-value = 2.2x10-16</div><div><br /></div><div>5.Keputusan</div><div><br /></div><div>Karena nilai p-value (2.2x10-16) < nilai α (0.05), maka tolak H0</div><div><br /></div><div>6.Kesimpulan </div><div><br /></div><div>Dengan tingkat signifikansi 0.05, maka dapat disimpulkan bahwa pada data tersebut paling sedikit terdapat satu korelasi.</div><div><br /></div><div>uji_bart(newdata)</div></div><div><br /></div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjWineyGUq0Edeecr-DsWhCv6a6rJqppCIZPADuUzFQWfpqxjkp5XGnpyM2zsuVVudIJu9aya9Oot69JsjfRNCrsSRkQ24bhPl4zZB89MN6_vSDU6CHMl1yvqkmc4qwSRv_datu8vD0NeQ/s643/7.png" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="134" data-original-width="643" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjWineyGUq0Edeecr-DsWhCv6a6rJqppCIZPADuUzFQWfpqxjkp5XGnpyM2zsuVVudIJu9aya9Oot69JsjfRNCrsSRkQ24bhPl4zZB89MN6_vSDU6CHMl1yvqkmc4qwSRv_datu8vD0NeQ/s16000/7.png" /></a></div><br /><div><div>Berikut uji hipotesis yang dilakukan untuk uji KMO:</div><div>1.Hipotesis</div><div><br /></div><div>H0: Data tidak cukup untuk difaktorkan</div><div>H1: Data cukup untuk difaktorkan</div><div><br /></div><div>2.Signifikasi</div><div><br /></div><div>α: 0.05</div><div><br /></div><div>3.Daerah kritis</div><div><br /></div><div>H0 ditolak jika p-value < α</div><div><br /></div><div>4.Statistik Uji</div><div><br /></div><div>Nilai keseluruhan p-value > 0.05</div><div><br /></div><div>5.Keputusan</div><div><br /></div><div>Karena nilai p-value(0,731437) > nilai α(0,05), maka gagal tolak H0</div><div><br /></div><div>6.Kesimpulan </div><div><br /></div><div>Dengan tingkat signifikansi 0.05, maka dapat disimpulkan bahwa data tersebut tidak cukup untuk difaktorkan.</div></div><div><br /></div><div><div>Selanjutnya analisis factor varimax dengan memanggil paket library(pysch) dan ketikkan syntax:</div><div>pcadata<span style="white-space: pre;"> </span><- principal(newdata,nfactor=2,rotate="varimax",scores=T)</div><div>pcadata</div></div><div><br /></div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjqJz3PjFmtn_ZzrOdZNfNLtQNuk_id0LRouIS7RFaGYUb-dEy-xmxBr7bzYGKQucMAqcWuohCReYLShDwr-5fjxK-jaGfnY4z1J13Ocvqw-M8tTPf2tBcGcrZEC9WtCnE_R24iJZOfaVI/s551/8.png" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="438" data-original-width="551" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjqJz3PjFmtn_ZzrOdZNfNLtQNuk_id0LRouIS7RFaGYUb-dEy-xmxBr7bzYGKQucMAqcWuohCReYLShDwr-5fjxK-jaGfnY4z1J13Ocvqw-M8tTPf2tBcGcrZEC9WtCnE_R24iJZOfaVI/s16000/8.png" /></a></div><div><br /></div><div><div>Dilihat dari output tersebut, komponen yang terbentuk ada 2 komponen. Proportion variance untuk PC1 adalah sebesar 0,59. Artinya faktor pertama mampu menjelaskan variansi dari 10 variabel sebesar 59%. Kemudian faktor kedua (PC2) mampu menjelaskan variansi dari keseluruhan variabel yang diamati sebesar 18%.</div><div><br /></div></div><div><div>Selanjutnya, untuk melihat plot kompnen data yang terbentuk yaitu dengan cara mengetikkan syntax sebagai berikut:</div><div>plot(pcadata$values,type="b",ylab="Nilai Eigenvalues",xlab="Komponen yang terbentuk",lab=c(5,5,5))</div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhwCT4xbxLc54XF030PXkGbo5d4glk157CTp5T23MpCzBIgqtzZKftUC_zhwSI8wQ9oakQKk-8Q2hFg0VdKlicbK22LZsZW9Hh09f3KQztAAjoc6MTss-Umn_lDcAvVgQV9K60xl-RWIpw/s552/9.png" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="552" data-original-width="552" height="400" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhwCT4xbxLc54XF030PXkGbo5d4glk157CTp5T23MpCzBIgqtzZKftUC_zhwSI8wQ9oakQKk-8Q2hFg0VdKlicbK22LZsZW9Hh09f3KQztAAjoc6MTss-Umn_lDcAvVgQV9K60xl-RWIpw/w400-h400/9.png" width="400" /></a></div><br /><div>Mungkin sekian untuk post kali ini thank you</div></div><div><br /></div><div><br /></div>Jimmy Pujosenohttp://www.blogger.com/profile/17973647737656365646noreply@blogger.com2tag:blogger.com,1999:blog-7652763575876291773.post-65839394320855419782020-11-07T10:03:00.002+07:002022-05-31T15:53:59.767+07:00Market Basket Analysis Menggunakan R Part 2<p><span>Halo guys, kali ini kita akan lanjut bahas part 2 tentang MBA ya, yang belum lihat part 1 nya bisa buka <a href="https://thinkstudioo.blogspot.com/2020/11/market-basket-analysis-menggunakan-r.html" target="_blank">Market Basket Analysis Menggunakan R Part 1</a> . Kemudian untuk Full code dan datanya bisa download <a href="https://github.com/pujoseno/Market-Basket-Analysis" target="_blank">DISINI<span></span></a></span></p><a name='more'></a><p></p><p><b><span style="font-size: large;">6. Apriori algorithm</span></b></p><p><span style="font-size: medium;"><b>6.1 Pilihan support dan confidence</b></span></p><p>Langkah pertama untuk membuat sekumpulan association rules adalah menentukan ambang optimal untuk support dan confidence. Jika kita menetapkan nilai-nilai ini terlalu rendah, maka algoritma akan membutuhkan waktu lebih lama untuk dieksekusi dan kita akan mendapatkan banyak rules (kebanyakan tidak akan berguna). Lalu, nilai apa yang kita pilih? Kita dapat mencoba berbagai nilai support dan confidence dan melihat secara grafis berapa banyak rules yang dibuat untuk setiap kombinasi.</p><pre class="sourceCode r" style="background-color: #f8f8f8; border-radius: 0px; border: 1px solid rgb(204, 204, 204); box-sizing: border-box; color: #333333; font-size: 14px; line-height: 1.42857; margin-bottom: 0px; margin-top: 0px; overflow-wrap: break-word; overflow: auto visible; padding: 10px; word-break: break-all;"><code class="sourceCode r" style="background-color: transparent; border-radius: 0px; box-sizing: border-box; color: inherit; font-size: inherit; overflow: auto visible; padding: 0px; position: relative;"><a class="sourceLine" id="cb15-1" style="background-color: transparent; box-sizing: border-box; color: inherit; display: inline-block; line-height: 1.25; pointer-events: none; text-decoration: inherit;" title="1"><span class="co" style="box-sizing: border-box; color: #8f5902; font-style: italic;"># Support and confidence values</span></a>
<a class="sourceLine" id="cb15-2" style="background-color: transparent; box-sizing: border-box; color: inherit; display: inline-block; line-height: 1.25; pointer-events: none; text-decoration: inherit;" title="2">supportLevels <-<span class="st" style="box-sizing: border-box; color: #4e9a06;"> </span><span class="kw" style="box-sizing: border-box; color: #204a87; font-weight: bold;">c</span>(<span class="fl" style="box-sizing: border-box; color: #0000cf;">0.1</span>, <span class="fl" style="box-sizing: border-box; color: #0000cf;">0.05</span>, <span class="fl" style="box-sizing: border-box; color: #0000cf;">0.01</span>, <span class="fl" style="box-sizing: border-box; color: #0000cf;">0.005</span>)</a>
<a class="sourceLine" id="cb15-3" style="background-color: transparent; box-sizing: border-box; color: inherit; display: inline-block; line-height: 1.25; pointer-events: none; text-decoration: inherit;" title="3">confidenceLevels <-<span class="st" style="box-sizing: border-box; color: #4e9a06;"> </span><span class="kw" style="box-sizing: border-box; color: #204a87; font-weight: bold;">c</span>(<span class="fl" style="box-sizing: border-box; color: #0000cf;">0.9</span>, <span class="fl" style="box-sizing: border-box; color: #0000cf;">0.8</span>, <span class="fl" style="box-sizing: border-box; color: #0000cf;">0.7</span>, <span class="fl" style="box-sizing: border-box; color: #0000cf;">0.6</span>, <span class="fl" style="box-sizing: border-box; color: #0000cf;">0.5</span>, <span class="fl" style="box-sizing: border-box; color: #0000cf;">0.4</span>, <span class="fl" style="box-sizing: border-box; color: #0000cf;">0.3</span>, <span class="fl" style="box-sizing: border-box; color: #0000cf;">0.2</span>, <span class="fl" style="box-sizing: border-box; color: #0000cf;">0.1</span>)</a>
<a class="sourceLine" id="cb15-4" style="background-color: transparent; box-sizing: border-box; color: inherit; display: inline-block; height: 1.2em; line-height: 1.25; pointer-events: none; text-decoration: inherit;" title="4"></a>
<a class="sourceLine" id="cb15-5" style="background-color: transparent; box-sizing: border-box; color: inherit; display: inline-block; line-height: 1.25; pointer-events: none; text-decoration: inherit;" title="5"><span class="co" style="box-sizing: border-box; color: #8f5902; font-style: italic;"># Empty integers </span></a>
<a class="sourceLine" id="cb15-6" style="background-color: transparent; box-sizing: border-box; color: inherit; display: inline-block; line-height: 1.25; pointer-events: none; text-decoration: inherit;" title="6">rules_sup10 <-<span class="st" style="box-sizing: border-box; color: #4e9a06;"> </span><span class="kw" style="box-sizing: border-box; color: #204a87; font-weight: bold;">integer</span>(<span class="dt" style="box-sizing: border-box; color: #204a87;">length=</span><span class="dv" style="box-sizing: border-box; color: #0000cf;">9</span>)</a>
<a class="sourceLine" id="cb15-7" style="background-color: transparent; box-sizing: border-box; color: inherit; display: inline-block; line-height: 1.25; pointer-events: none; text-decoration: inherit;" title="7">rules_sup5 <-<span class="st" style="box-sizing: border-box; color: #4e9a06;"> </span><span class="kw" style="box-sizing: border-box; color: #204a87; font-weight: bold;">integer</span>(<span class="dt" style="box-sizing: border-box; color: #204a87;">length=</span><span class="dv" style="box-sizing: border-box; color: #0000cf;">9</span>)</a>
<a class="sourceLine" id="cb15-8" style="background-color: transparent; box-sizing: border-box; color: inherit; display: inline-block; line-height: 1.25; pointer-events: none; text-decoration: inherit;" title="8">rules_sup1 <-<span class="st" style="box-sizing: border-box; color: #4e9a06;"> </span><span class="kw" style="box-sizing: border-box; color: #204a87; font-weight: bold;">integer</span>(<span class="dt" style="box-sizing: border-box; color: #204a87;">length=</span><span class="dv" style="box-sizing: border-box; color: #0000cf;">9</span>)</a>
<a class="sourceLine" id="cb15-9" style="background-color: transparent; box-sizing: border-box; color: inherit; display: inline-block; line-height: 1.25; pointer-events: none; text-decoration: inherit;" title="9">rules_sup0<span class="fl" style="box-sizing: border-box; color: #0000cf;">.5</span> <-<span class="st" style="box-sizing: border-box; color: #4e9a06;"> </span><span class="kw" style="box-sizing: border-box; color: #204a87; font-weight: bold;">integer</span>(<span class="dt" style="box-sizing: border-box; color: #204a87;">length=</span><span class="dv" style="box-sizing: border-box; color: #0000cf;">9</span>)</a>
<a class="sourceLine" id="cb15-10" style="background-color: transparent; box-sizing: border-box; color: inherit; display: inline-block; height: 1.2em; line-height: 1.25; pointer-events: none; text-decoration: inherit;" title="10"></a>
<a class="sourceLine" id="cb15-11" style="background-color: transparent; box-sizing: border-box; color: inherit; display: inline-block; line-height: 1.25; pointer-events: none; text-decoration: inherit;" title="11"><span class="co" style="box-sizing: border-box; color: #8f5902; font-style: italic;"># Apriori algorithm with a support level of 10%</span></a>
<a class="sourceLine" id="cb15-12" style="background-color: transparent; box-sizing: border-box; color: inherit; display: inline-block; line-height: 1.25; pointer-events: none; text-decoration: inherit;" title="12"><span class="cf" style="box-sizing: border-box; color: #204a87; font-weight: bold;">for</span> (i <span class="cf" style="box-sizing: border-box; color: #204a87; font-weight: bold;">in</span> <span class="dv" style="box-sizing: border-box; color: #0000cf;">1</span><span class="op" style="box-sizing: border-box; color: #ce5c00; font-weight: bold;">:</span><span class="kw" style="box-sizing: border-box; color: #204a87; font-weight: bold;">length</span>(confidenceLevels)) {</a>
<a class="sourceLine" id="cb15-13" style="background-color: transparent; box-sizing: border-box; color: inherit; display: inline-block; line-height: 1.25; pointer-events: none; text-decoration: inherit;" title="13"> </a>
<a class="sourceLine" id="cb15-14" style="background-color: transparent; box-sizing: border-box; color: inherit; display: inline-block; line-height: 1.25; pointer-events: none; text-decoration: inherit;" title="14"> rules_sup10[i] <-<span class="st" style="box-sizing: border-box; color: #4e9a06;"> </span><span class="kw" style="box-sizing: border-box; color: #204a87; font-weight: bold;">length</span>(<span class="kw" style="box-sizing: border-box; color: #204a87; font-weight: bold;">apriori</span>(trans, <span class="dt" style="box-sizing: border-box; color: #204a87;">parameter=</span><span class="kw" style="box-sizing: border-box; color: #204a87; font-weight: bold;">list</span>(<span class="dt" style="box-sizing: border-box; color: #204a87;">sup=</span>supportLevels[<span class="dv" style="box-sizing: border-box; color: #0000cf;">1</span>], </a>
<a class="sourceLine" id="cb15-15" style="background-color: transparent; box-sizing: border-box; color: inherit; display: inline-block; line-height: 1.25; pointer-events: none; text-decoration: inherit;" title="15"> <span class="dt" style="box-sizing: border-box; color: #204a87;">conf=</span>confidenceLevels[i], <span class="dt" style="box-sizing: border-box; color: #204a87;">target=</span><span class="st" style="box-sizing: border-box; color: #4e9a06;">"rules"</span>)))</a>
<a class="sourceLine" id="cb15-16" style="background-color: transparent; box-sizing: border-box; color: inherit; display: inline-block; line-height: 1.25; pointer-events: none; text-decoration: inherit;" title="16"> </a>
<a class="sourceLine" id="cb15-17" style="background-color: transparent; box-sizing: border-box; color: inherit; display: inline-block; line-height: 1.25; pointer-events: none; text-decoration: inherit;" title="17">}</a>
<a class="sourceLine" id="cb15-18" style="background-color: transparent; box-sizing: border-box; color: inherit; display: inline-block; height: 1.2em; line-height: 1.25; pointer-events: none; text-decoration: inherit;" title="18"></a>
<a class="sourceLine" id="cb15-19" style="background-color: transparent; box-sizing: border-box; color: inherit; display: inline-block; line-height: 1.25; pointer-events: none; text-decoration: inherit;" title="19"><span class="co" style="box-sizing: border-box; color: #8f5902; font-style: italic;"># Apriori algorithm with a support level of 5%</span></a>
<a class="sourceLine" id="cb15-20" style="background-color: transparent; box-sizing: border-box; color: inherit; display: inline-block; line-height: 1.25; pointer-events: none; text-decoration: inherit;" title="20"><span class="cf" style="box-sizing: border-box; color: #204a87; font-weight: bold;">for</span> (i <span class="cf" style="box-sizing: border-box; color: #204a87; font-weight: bold;">in</span> <span class="dv" style="box-sizing: border-box; color: #0000cf;">1</span><span class="op" style="box-sizing: border-box; color: #ce5c00; font-weight: bold;">:</span><span class="kw" style="box-sizing: border-box; color: #204a87; font-weight: bold;">length</span>(confidenceLevels)){</a>
<a class="sourceLine" id="cb15-21" style="background-color: transparent; box-sizing: border-box; color: inherit; display: inline-block; line-height: 1.25; pointer-events: none; text-decoration: inherit;" title="21"> </a>
<a class="sourceLine" id="cb15-22" style="background-color: transparent; box-sizing: border-box; color: inherit; display: inline-block; line-height: 1.25; pointer-events: none; text-decoration: inherit;" title="22"> rules_sup5[i] <-<span class="st" style="box-sizing: border-box; color: #4e9a06;"> </span><span class="kw" style="box-sizing: border-box; color: #204a87; font-weight: bold;">length</span>(<span class="kw" style="box-sizing: border-box; color: #204a87; font-weight: bold;">apriori</span>(trans, <span class="dt" style="box-sizing: border-box; color: #204a87;">parameter=</span><span class="kw" style="box-sizing: border-box; color: #204a87; font-weight: bold;">list</span>(<span class="dt" style="box-sizing: border-box; color: #204a87;">sup=</span>supportLevels[<span class="dv" style="box-sizing: border-box; color: #0000cf;">2</span>], </a>
<a class="sourceLine" id="cb15-23" style="background-color: transparent; box-sizing: border-box; color: inherit; display: inline-block; line-height: 1.25; pointer-events: none; text-decoration: inherit;" title="23"> <span class="dt" style="box-sizing: border-box; color: #204a87;">conf=</span>confidenceLevels[i], <span class="dt" style="box-sizing: border-box; color: #204a87;">target=</span><span class="st" style="box-sizing: border-box; color: #4e9a06;">"rules"</span>)))</a>
<a class="sourceLine" id="cb15-24" style="background-color: transparent; box-sizing: border-box; color: inherit; display: inline-block; line-height: 1.25; pointer-events: none; text-decoration: inherit;" title="24"> </a>
<a class="sourceLine" id="cb15-25" style="background-color: transparent; box-sizing: border-box; color: inherit; display: inline-block; line-height: 1.25; pointer-events: none; text-decoration: inherit;" title="25">}</a>
<a class="sourceLine" id="cb15-26" style="background-color: transparent; box-sizing: border-box; color: inherit; display: inline-block; height: 1.2em; line-height: 1.25; pointer-events: none; text-decoration: inherit;" title="26"></a>
<a class="sourceLine" id="cb15-27" style="background-color: transparent; box-sizing: border-box; color: inherit; display: inline-block; line-height: 1.25; pointer-events: none; text-decoration: inherit;" title="27"><span class="co" style="box-sizing: border-box; color: #8f5902; font-style: italic;"># Apriori algorithm with a support level of 1%</span></a>
<a class="sourceLine" id="cb15-28" style="background-color: transparent; box-sizing: border-box; color: inherit; display: inline-block; line-height: 1.25; pointer-events: none; text-decoration: inherit;" title="28"><span class="cf" style="box-sizing: border-box; color: #204a87; font-weight: bold;">for</span> (i <span class="cf" style="box-sizing: border-box; color: #204a87; font-weight: bold;">in</span> <span class="dv" style="box-sizing: border-box; color: #0000cf;">1</span><span class="op" style="box-sizing: border-box; color: #ce5c00; font-weight: bold;">:</span><span class="kw" style="box-sizing: border-box; color: #204a87; font-weight: bold;">length</span>(confidenceLevels)){</a>
<a class="sourceLine" id="cb15-29" style="background-color: transparent; box-sizing: border-box; color: inherit; display: inline-block; line-height: 1.25; pointer-events: none; text-decoration: inherit;" title="29"> </a>
<a class="sourceLine" id="cb15-30" style="background-color: transparent; box-sizing: border-box; color: inherit; display: inline-block; line-height: 1.25; pointer-events: none; text-decoration: inherit;" title="30"> rules_sup1[i] <-<span class="st" style="box-sizing: border-box; color: #4e9a06;"> </span><span class="kw" style="box-sizing: border-box; color: #204a87; font-weight: bold;">length</span>(<span class="kw" style="box-sizing: border-box; color: #204a87; font-weight: bold;">apriori</span>(trans, <span class="dt" style="box-sizing: border-box; color: #204a87;">parameter=</span><span class="kw" style="box-sizing: border-box; color: #204a87; font-weight: bold;">list</span>(<span class="dt" style="box-sizing: border-box; color: #204a87;">sup=</span>supportLevels[<span class="dv" style="box-sizing: border-box; color: #0000cf;">3</span>], </a>
<a class="sourceLine" id="cb15-31" style="background-color: transparent; box-sizing: border-box; color: inherit; display: inline-block; line-height: 1.25; pointer-events: none; text-decoration: inherit;" title="31"> <span class="dt" style="box-sizing: border-box; color: #204a87;">conf=</span>confidenceLevels[i], <span class="dt" style="box-sizing: border-box; color: #204a87;">target=</span><span class="st" style="box-sizing: border-box; color: #4e9a06;">"rules"</span>)))</a>
<a class="sourceLine" id="cb15-32" style="background-color: transparent; box-sizing: border-box; color: inherit; display: inline-block; line-height: 1.25; pointer-events: none; text-decoration: inherit;" title="32"> </a>
<a class="sourceLine" id="cb15-33" style="background-color: transparent; box-sizing: border-box; color: inherit; display: inline-block; line-height: 1.25; pointer-events: none; text-decoration: inherit;" title="33">}</a>
<a class="sourceLine" id="cb15-34" style="background-color: transparent; box-sizing: border-box; color: inherit; display: inline-block; height: 1.2em; line-height: 1.25; pointer-events: none; text-decoration: inherit;" title="34"></a>
<a class="sourceLine" id="cb15-35" style="background-color: transparent; box-sizing: border-box; color: inherit; display: inline-block; line-height: 1.25; pointer-events: none; text-decoration: inherit;" title="35"><span class="co" style="box-sizing: border-box; color: #8f5902; font-style: italic;"># Apriori algorithm with a support level of 0.5%</span></a>
<a class="sourceLine" id="cb15-36" style="background-color: transparent; box-sizing: border-box; color: inherit; display: inline-block; line-height: 1.25; pointer-events: none; text-decoration: inherit;" title="36"><span class="cf" style="box-sizing: border-box; color: #204a87; font-weight: bold;">for</span> (i <span class="cf" style="box-sizing: border-box; color: #204a87; font-weight: bold;">in</span> <span class="dv" style="box-sizing: border-box; color: #0000cf;">1</span><span class="op" style="box-sizing: border-box; color: #ce5c00; font-weight: bold;">:</span><span class="kw" style="box-sizing: border-box; color: #204a87; font-weight: bold;">length</span>(confidenceLevels)){</a>
<a class="sourceLine" id="cb15-37" style="background-color: transparent; box-sizing: border-box; color: inherit; display: inline-block; line-height: 1.25; pointer-events: none; text-decoration: inherit;" title="37"> </a>
<a class="sourceLine" id="cb15-38" style="background-color: transparent; box-sizing: border-box; color: inherit; display: inline-block; line-height: 1.25; pointer-events: none; text-decoration: inherit;" title="38"> rules_sup0<span class="fl" style="box-sizing: border-box; color: #0000cf;">.5</span>[i] <-<span class="st" style="box-sizing: border-box; color: #4e9a06;"> </span><span class="kw" style="box-sizing: border-box; color: #204a87; font-weight: bold;">length</span>(<span class="kw" style="box-sizing: border-box; color: #204a87; font-weight: bold;">apriori</span>(trans, <span class="dt" style="box-sizing: border-box; color: #204a87;">parameter=</span><span class="kw" style="box-sizing: border-box; color: #204a87; font-weight: bold;">list</span>(<span class="dt" style="box-sizing: border-box; color: #204a87;">sup=</span>supportLevels[<span class="dv" style="box-sizing: border-box; color: #0000cf;">4</span>], </a>
<a class="sourceLine" id="cb15-39" style="background-color: transparent; box-sizing: border-box; color: inherit; display: inline-block; line-height: 1.25; pointer-events: none; text-decoration: inherit;" title="39"> <span class="dt" style="box-sizing: border-box; color: #204a87;">conf=</span>confidenceLevels[i], <span class="dt" style="box-sizing: border-box; color: #204a87;">target=</span><span class="st" style="box-sizing: border-box; color: #4e9a06;">"rules"</span>)))</a>
<a class="sourceLine" id="cb15-40" style="background-color: transparent; box-sizing: border-box; color: inherit; display: inline-block; line-height: 1.25; pointer-events: none; text-decoration: inherit;" title="40"> </a>
}</code></pre><div><br /></div><p>Pada grafik berikut kita dapat melihat jumlah rules yang dihasilkan dengan tingkat support 10%, 5%, 1% dan 0,5%.</p><div class="sourceCode" id="cb16" style="background-color: white; box-sizing: border-box; color: #333333; font-family: "Source Sans Pro", Calibri, Candara, Arial, sans-serif; font-size: 15px; margin: 1em 0px; overflow: auto;"><div aria-expanded="true" class="r-code-collapse collapse in" id="rcode-643E0F3612" style="box-sizing: border-box;"><pre class="sourceCode r" style="background-color: #f8f8f8; border-radius: 0px; border: 1px solid rgb(204, 204, 204); box-sizing: border-box; font-size: 14px; line-height: 1.42857; margin-bottom: 0px; margin-top: 0px; overflow-wrap: break-word; overflow: auto visible; padding: 10px; word-break: break-all;"><code class="sourceCode r" style="background-color: transparent; border-radius: 0px; box-sizing: border-box; color: inherit; font-size: inherit; overflow: auto visible; padding: 0px; position: relative;"><a class="sourceLine" id="cb16-1" style="background-color: transparent; box-sizing: border-box; color: inherit; display: inline-block; line-height: 1.25; pointer-events: none; text-decoration: inherit;" title="1"><span class="co" style="box-sizing: border-box; color: #8f5902; font-style: italic;"># Number of rules found with a support level of 10%</span></a>
<a class="sourceLine" id="cb16-2" style="background-color: transparent; box-sizing: border-box; color: inherit; display: inline-block; line-height: 1.25; pointer-events: none; text-decoration: inherit;" title="2">plot1 <-<span class="st" style="box-sizing: border-box; color: #4e9a06;"> </span><span class="kw" style="box-sizing: border-box; color: #204a87; font-weight: bold;">qplot</span>(confidenceLevels, rules_sup10, <span class="dt" style="box-sizing: border-box; color: #204a87;">geom=</span><span class="kw" style="box-sizing: border-box; color: #204a87; font-weight: bold;">c</span>(<span class="st" style="box-sizing: border-box; color: #4e9a06;">"point"</span>, <span class="st" style="box-sizing: border-box; color: #4e9a06;">"line"</span>), </a>
<a class="sourceLine" id="cb16-3" style="background-color: transparent; box-sizing: border-box; color: inherit; display: inline-block; line-height: 1.25; pointer-events: none; text-decoration: inherit;" title="3"> <span class="dt" style="box-sizing: border-box; color: #204a87;">xlab=</span><span class="st" style="box-sizing: border-box; color: #4e9a06;">"Confidence level"</span>, <span class="dt" style="box-sizing: border-box; color: #204a87;">ylab=</span><span class="st" style="box-sizing: border-box; color: #4e9a06;">"Number of rules found"</span>, </a>
<a class="sourceLine" id="cb16-4" style="background-color: transparent; box-sizing: border-box; color: inherit; display: inline-block; line-height: 1.25; pointer-events: none; text-decoration: inherit;" title="4"> <span class="dt" style="box-sizing: border-box; color: #204a87;">main=</span><span class="st" style="box-sizing: border-box; color: #4e9a06;">"Apriori with a support level of 10%"</span>) <span class="op" style="box-sizing: border-box; color: #ce5c00; font-weight: bold;">+</span></a>
<a class="sourceLine" id="cb16-5" style="background-color: transparent; box-sizing: border-box; color: inherit; display: inline-block; line-height: 1.25; pointer-events: none; text-decoration: inherit;" title="5"><span class="st" style="box-sizing: border-box; color: #4e9a06;"> </span><span class="kw" style="box-sizing: border-box; color: #204a87; font-weight: bold;">theme_bw</span>()</a>
<a class="sourceLine" id="cb16-6" style="background-color: transparent; box-sizing: border-box; color: inherit; display: inline-block; height: 1.2em; line-height: 1.25; pointer-events: none; text-decoration: inherit;" title="6"></a>
<a class="sourceLine" id="cb16-7" style="background-color: transparent; box-sizing: border-box; color: inherit; display: inline-block; line-height: 1.25; pointer-events: none; text-decoration: inherit;" title="7"><span class="co" style="box-sizing: border-box; color: #8f5902; font-style: italic;"># Number of rules found with a support level of 5%</span></a>
<a class="sourceLine" id="cb16-8" style="background-color: transparent; box-sizing: border-box; color: inherit; display: inline-block; line-height: 1.25; pointer-events: none; text-decoration: inherit;" title="8">plot2 <-<span class="st" style="box-sizing: border-box; color: #4e9a06;"> </span><span class="kw" style="box-sizing: border-box; color: #204a87; font-weight: bold;">qplot</span>(confidenceLevels, rules_sup5, <span class="dt" style="box-sizing: border-box; color: #204a87;">geom=</span><span class="kw" style="box-sizing: border-box; color: #204a87; font-weight: bold;">c</span>(<span class="st" style="box-sizing: border-box; color: #4e9a06;">"point"</span>, <span class="st" style="box-sizing: border-box; color: #4e9a06;">"line"</span>), </a>
<a class="sourceLine" id="cb16-9" style="background-color: transparent; box-sizing: border-box; color: inherit; display: inline-block; line-height: 1.25; pointer-events: none; text-decoration: inherit;" title="9"> <span class="dt" style="box-sizing: border-box; color: #204a87;">xlab=</span><span class="st" style="box-sizing: border-box; color: #4e9a06;">"Confidence level"</span>, <span class="dt" style="box-sizing: border-box; color: #204a87;">ylab=</span><span class="st" style="box-sizing: border-box; color: #4e9a06;">"Number of rules found"</span>, </a>
<a class="sourceLine" id="cb16-10" style="background-color: transparent; box-sizing: border-box; color: inherit; display: inline-block; line-height: 1.25; pointer-events: none; text-decoration: inherit;" title="10"> <span class="dt" style="box-sizing: border-box; color: #204a87;">main=</span><span class="st" style="box-sizing: border-box; color: #4e9a06;">"Apriori with a support level of 5%"</span>) <span class="op" style="box-sizing: border-box; color: #ce5c00; font-weight: bold;">+</span><span class="st" style="box-sizing: border-box; color: #4e9a06;"> </span></a>
<a class="sourceLine" id="cb16-11" style="background-color: transparent; box-sizing: border-box; color: inherit; display: inline-block; line-height: 1.25; pointer-events: none; text-decoration: inherit;" title="11"><span class="st" style="box-sizing: border-box; color: #4e9a06;"> </span><span class="kw" style="box-sizing: border-box; color: #204a87; font-weight: bold;">scale_y_continuous</span>(<span class="dt" style="box-sizing: border-box; color: #204a87;">breaks=</span><span class="kw" style="box-sizing: border-box; color: #204a87; font-weight: bold;">seq</span>(<span class="dv" style="box-sizing: border-box; color: #0000cf;">0</span>, <span class="dv" style="box-sizing: border-box; color: #0000cf;">10</span>, <span class="dv" style="box-sizing: border-box; color: #0000cf;">2</span>)) <span class="op" style="box-sizing: border-box; color: #ce5c00; font-weight: bold;">+</span></a>
<a class="sourceLine" id="cb16-12" style="background-color: transparent; box-sizing: border-box; color: inherit; display: inline-block; line-height: 1.25; pointer-events: none; text-decoration: inherit;" title="12"><span class="st" style="box-sizing: border-box; color: #4e9a06;"> </span><span class="kw" style="box-sizing: border-box; color: #204a87; font-weight: bold;">theme_bw</span>()</a>
<a class="sourceLine" id="cb16-13" style="background-color: transparent; box-sizing: border-box; color: inherit; display: inline-block; height: 1.2em; line-height: 1.25; pointer-events: none; text-decoration: inherit;" title="13"></a>
<a class="sourceLine" id="cb16-14" style="background-color: transparent; box-sizing: border-box; color: inherit; display: inline-block; line-height: 1.25; pointer-events: none; text-decoration: inherit;" title="14"><span class="co" style="box-sizing: border-box; color: #8f5902; font-style: italic;"># Number of rules found with a support level of 1%</span></a>
<a class="sourceLine" id="cb16-15" style="background-color: transparent; box-sizing: border-box; color: inherit; display: inline-block; line-height: 1.25; pointer-events: none; text-decoration: inherit;" title="15">plot3 <-<span class="st" style="box-sizing: border-box; color: #4e9a06;"> </span><span class="kw" style="box-sizing: border-box; color: #204a87; font-weight: bold;">qplot</span>(confidenceLevels, rules_sup1, <span class="dt" style="box-sizing: border-box; color: #204a87;">geom=</span><span class="kw" style="box-sizing: border-box; color: #204a87; font-weight: bold;">c</span>(<span class="st" style="box-sizing: border-box; color: #4e9a06;">"point"</span>, <span class="st" style="box-sizing: border-box; color: #4e9a06;">"line"</span>), </a>
<a class="sourceLine" id="cb16-16" style="background-color: transparent; box-sizing: border-box; color: inherit; display: inline-block; line-height: 1.25; pointer-events: none; text-decoration: inherit;" title="16"> <span class="dt" style="box-sizing: border-box; color: #204a87;">xlab=</span><span class="st" style="box-sizing: border-box; color: #4e9a06;">"Confidence level"</span>, <span class="dt" style="box-sizing: border-box; color: #204a87;">ylab=</span><span class="st" style="box-sizing: border-box; color: #4e9a06;">"Number of rules found"</span>, </a>
<a class="sourceLine" id="cb16-17" style="background-color: transparent; box-sizing: border-box; color: inherit; display: inline-block; line-height: 1.25; pointer-events: none; text-decoration: inherit;" title="17"> <span class="dt" style="box-sizing: border-box; color: #204a87;">main=</span><span class="st" style="box-sizing: border-box; color: #4e9a06;">"Apriori with a support level of 1%"</span>) <span class="op" style="box-sizing: border-box; color: #ce5c00; font-weight: bold;">+</span><span class="st" style="box-sizing: border-box; color: #4e9a06;"> </span></a>
<a class="sourceLine" id="cb16-18" style="background-color: transparent; box-sizing: border-box; color: inherit; display: inline-block; line-height: 1.25; pointer-events: none; text-decoration: inherit;" title="18"><span class="st" style="box-sizing: border-box; color: #4e9a06;"> </span><span class="kw" style="box-sizing: border-box; color: #204a87; font-weight: bold;">scale_y_continuous</span>(<span class="dt" style="box-sizing: border-box; color: #204a87;">breaks=</span><span class="kw" style="box-sizing: border-box; color: #204a87; font-weight: bold;">seq</span>(<span class="dv" style="box-sizing: border-box; color: #0000cf;">0</span>, <span class="dv" style="box-sizing: border-box; color: #0000cf;">50</span>, <span class="dv" style="box-sizing: border-box; color: #0000cf;">10</span>)) <span class="op" style="box-sizing: border-box; color: #ce5c00; font-weight: bold;">+</span></a>
<a class="sourceLine" id="cb16-19" style="background-color: transparent; box-sizing: border-box; color: inherit; display: inline-block; line-height: 1.25; pointer-events: none; text-decoration: inherit;" title="19"><span class="st" style="box-sizing: border-box; color: #4e9a06;"> </span><span class="kw" style="box-sizing: border-box; color: #204a87; font-weight: bold;">theme_bw</span>()</a>
<a class="sourceLine" id="cb16-20" style="background-color: transparent; box-sizing: border-box; color: inherit; display: inline-block; height: 1.2em; line-height: 1.25; pointer-events: none; text-decoration: inherit;" title="20"></a>
<a class="sourceLine" id="cb16-21" style="background-color: transparent; box-sizing: border-box; color: inherit; display: inline-block; line-height: 1.25; pointer-events: none; text-decoration: inherit;" title="21"><span class="co" style="box-sizing: border-box; color: #8f5902; font-style: italic;"># Number of rules found with a support level of 0.5%</span></a>
<a class="sourceLine" id="cb16-22" style="background-color: transparent; box-sizing: border-box; color: inherit; display: inline-block; line-height: 1.25; pointer-events: none; text-decoration: inherit;" title="22">plot4 <-<span class="st" style="box-sizing: border-box; color: #4e9a06;"> </span><span class="kw" style="box-sizing: border-box; color: #204a87; font-weight: bold;">qplot</span>(confidenceLevels, rules_sup0<span class="fl" style="box-sizing: border-box; color: #0000cf;">.5</span>, <span class="dt" style="box-sizing: border-box; color: #204a87;">geom=</span><span class="kw" style="box-sizing: border-box; color: #204a87; font-weight: bold;">c</span>(<span class="st" style="box-sizing: border-box; color: #4e9a06;">"point"</span>, <span class="st" style="box-sizing: border-box; color: #4e9a06;">"line"</span>), </a>
<a class="sourceLine" id="cb16-23" style="background-color: transparent; box-sizing: border-box; color: inherit; display: inline-block; line-height: 1.25; pointer-events: none; text-decoration: inherit;" title="23"> <span class="dt" style="box-sizing: border-box; color: #204a87;">xlab=</span><span class="st" style="box-sizing: border-box; color: #4e9a06;">"Confidence level"</span>, <span class="dt" style="box-sizing: border-box; color: #204a87;">ylab=</span><span class="st" style="box-sizing: border-box; color: #4e9a06;">"Number of rules found"</span>, </a>
<a class="sourceLine" id="cb16-24" style="background-color: transparent; box-sizing: border-box; color: inherit; display: inline-block; line-height: 1.25; pointer-events: none; text-decoration: inherit;" title="24"> <span class="dt" style="box-sizing: border-box; color: #204a87;">main=</span><span class="st" style="box-sizing: border-box; color: #4e9a06;">"Apriori with a support level of 0.5%"</span>) <span class="op" style="box-sizing: border-box; color: #ce5c00; font-weight: bold;">+</span><span class="st" style="box-sizing: border-box; color: #4e9a06;"> </span></a>
<a class="sourceLine" id="cb16-25" style="background-color: transparent; box-sizing: border-box; color: inherit; display: inline-block; line-height: 1.25; pointer-events: none; text-decoration: inherit;" title="25"><span class="st" style="box-sizing: border-box; color: #4e9a06;"> </span><span class="kw" style="box-sizing: border-box; color: #204a87; font-weight: bold;">scale_y_continuous</span>(<span class="dt" style="box-sizing: border-box; color: #204a87;">breaks=</span><span class="kw" style="box-sizing: border-box; color: #204a87; font-weight: bold;">seq</span>(<span class="dv" style="box-sizing: border-box; color: #0000cf;">0</span>, <span class="dv" style="box-sizing: border-box; color: #0000cf;">130</span>, <span class="dv" style="box-sizing: border-box; color: #0000cf;">20</span>)) <span class="op" style="box-sizing: border-box; color: #ce5c00; font-weight: bold;">+</span></a>
<a class="sourceLine" id="cb16-26" style="background-color: transparent; box-sizing: border-box; color: inherit; display: inline-block; line-height: 1.25; pointer-events: none; text-decoration: inherit;" title="26"><span class="st" style="box-sizing: border-box; color: #4e9a06;"> </span><span class="kw" style="box-sizing: border-box; color: #204a87; font-weight: bold;">theme_bw</span>()</a>
<a class="sourceLine" id="cb16-27" style="background-color: transparent; box-sizing: border-box; color: inherit; display: inline-block; height: 1.2em; line-height: 1.25; pointer-events: none; text-decoration: inherit;" title="27"></a>
<a class="sourceLine" id="cb16-28" style="background-color: transparent; box-sizing: border-box; color: inherit; display: inline-block; line-height: 1.25; pointer-events: none; text-decoration: inherit;" title="28"><span class="co" style="box-sizing: border-box; color: #8f5902; font-style: italic;"># Subplot</span></a>
<a class="sourceLine" id="cb16-29" style="background-color: transparent; box-sizing: border-box; color: inherit; display: inline-block; line-height: 1.25; pointer-events: none; text-decoration: inherit;" title="29"><span class="kw" style="box-sizing: border-box; color: #204a87; font-weight: bold;">grid.arrange</span>(plot1, plot2, plot3, plot4, <span class="dt" style="box-sizing: border-box; color: #204a87;">ncol=</span><span class="dv" style="box-sizing: border-box; color: #0000cf;">2</span>)</a></code></pre></div></div><p style="background-color: white; box-sizing: border-box; color: #333333; font-family: "Source Sans Pro", Calibri, Candara, Arial, sans-serif; font-size: 15px; margin: 0px 0px 10.5px;"><img 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" style="border: 0px; box-sizing: border-box; display: block; margin: auto; max-width: 100%; vertical-align: middle;" width="672" /></p><p style="background-color: white; box-sizing: border-box; margin: 0px 0px 10.5px;"><span face="Source Sans Pro, Calibri, Candara, Arial, sans-serif" style="color: #333333;"><span style="font-size: 15px;">Kita dapat menggabungkan empat baris untuk meningkatkan visualisasi.</span></span></p><div class="sourceCode" id="cb17" style="background-color: white; box-sizing: border-box; color: #333333; font-family: "Source Sans Pro", Calibri, Candara, Arial, sans-serif; font-size: 15px; margin: 1em 0px; overflow: auto;"><div aria-expanded="true" class="r-code-collapse collapse in" id="rcode-643E0F3613" style="box-sizing: border-box;"><pre class="sourceCode r" style="background-color: #f8f8f8; border-radius: 0px; border: 1px solid rgb(204, 204, 204); box-sizing: border-box; font-size: 14px; line-height: 1.42857; margin-bottom: 0px; margin-top: 0px; overflow-wrap: break-word; overflow: auto visible; padding: 10px; word-break: break-all;"><code class="sourceCode r" style="background-color: transparent; border-radius: 0px; box-sizing: border-box; color: inherit; font-size: inherit; overflow: auto visible; padding: 0px; position: relative;"><a class="sourceLine" id="cb17-1" style="background-color: transparent; box-sizing: border-box; color: inherit; display: inline-block; line-height: 1.25; pointer-events: none; text-decoration: inherit;" title="1"><span class="co" style="box-sizing: border-box; color: #8f5902; font-style: italic;"># Data frame</span></a>
<a class="sourceLine" id="cb17-2" style="background-color: transparent; box-sizing: border-box; color: inherit; display: inline-block; line-height: 1.25; pointer-events: none; text-decoration: inherit;" title="2">num_rules <-<span class="st" style="box-sizing: border-box; color: #4e9a06;"> </span><span class="kw" style="box-sizing: border-box; color: #204a87; font-weight: bold;">data.frame</span>(rules_sup10, rules_sup5, rules_sup1, rules_sup0<span class="fl" style="box-sizing: border-box; color: #0000cf;">.5</span>, confidenceLevels)</a>
<a class="sourceLine" id="cb17-3" style="background-color: transparent; box-sizing: border-box; color: inherit; display: inline-block; height: 1.2em; line-height: 1.25; pointer-events: none; text-decoration: inherit;" title="3"></a>
<a class="sourceLine" id="cb17-4" style="background-color: transparent; box-sizing: border-box; color: inherit; display: inline-block; line-height: 1.25; pointer-events: none; text-decoration: inherit;" title="4"><span class="co" style="box-sizing: border-box; color: #8f5902; font-style: italic;"># Number of rules found with a support level of 10%, 5%, 1% and 0.5%</span></a>
<a class="sourceLine" id="cb17-5" style="background-color: transparent; box-sizing: border-box; color: inherit; display: inline-block; line-height: 1.25; pointer-events: none; text-decoration: inherit;" title="5"><span class="kw" style="box-sizing: border-box; color: #204a87; font-weight: bold;">ggplot</span>(<span class="dt" style="box-sizing: border-box; color: #204a87;">data=</span>num_rules, <span class="kw" style="box-sizing: border-box; color: #204a87; font-weight: bold;">aes</span>(<span class="dt" style="box-sizing: border-box; color: #204a87;">x=</span>confidenceLevels)) <span class="op" style="box-sizing: border-box; color: #ce5c00; font-weight: bold;">+</span></a>
<a class="sourceLine" id="cb17-6" style="background-color: transparent; box-sizing: border-box; color: inherit; display: inline-block; line-height: 1.25; pointer-events: none; text-decoration: inherit;" title="6"><span class="st" style="box-sizing: border-box; color: #4e9a06;"> </span></a>
<span class="st" style="box-sizing: border-box; color: #4e9a06;"> </span><span class="co" style="box-sizing: border-box; color: #8f5902; font-style: italic;"># Plot line and points (support level of 10%)</span>
<span class="st" style="box-sizing: border-box; color: #4e9a06;"> </span><span class="kw" style="box-sizing: border-box; color: #204a87; font-weight: bold;">geom_line</span>(<span class="kw" style="box-sizing: border-box; color: #204a87; font-weight: bold;">aes</span>(<span class="dt" style="box-sizing: border-box; color: #204a87;">y=</span>rules_sup10, <span class="dt" style="box-sizing: border-box; color: #204a87;">colour=</span><span class="st" style="box-sizing: border-box; color: #4e9a06;">"Support level of 10%"</span>)) <span class="op" style="box-sizing: border-box; color: #ce5c00; font-weight: bold;">+</span><span class="st" style="box-sizing: border-box; color: #4e9a06;"> </span>
<span class="st" style="box-sizing: border-box; color: #4e9a06;"> </span><span class="kw" style="box-sizing: border-box; color: #204a87; font-weight: bold;">geom_point</span>(<span class="kw" style="box-sizing: border-box; color: #204a87; font-weight: bold;">aes</span>(<span class="dt" style="box-sizing: border-box; color: #204a87;">y=</span>rules_sup10, <span class="dt" style="box-sizing: border-box; color: #204a87;">colour=</span><span class="st" style="box-sizing: border-box; color: #4e9a06;">"Support level of 10%"</span>)) <span class="op" style="box-sizing: border-box; color: #ce5c00; font-weight: bold;">+</span>
<span class="st" style="box-sizing: border-box; color: #4e9a06;"> </span>
<span class="st" style="box-sizing: border-box; color: #4e9a06;"> </span><span class="co" style="box-sizing: border-box; color: #8f5902; font-style: italic;"># Plot line and points (support level of 5%)</span>
<span class="st" style="box-sizing: border-box; color: #4e9a06;"> </span><span class="kw" style="box-sizing: border-box; color: #204a87; font-weight: bold;">geom_line</span>(<span class="kw" style="box-sizing: border-box; color: #204a87; font-weight: bold;">aes</span>(<span class="dt" style="box-sizing: border-box; color: #204a87;">y=</span>rules_sup5, <span class="dt" style="box-sizing: border-box; color: #204a87;">colour=</span><span class="st" style="box-sizing: border-box; color: #4e9a06;">"Support level of 5%"</span>)) <span class="op" style="box-sizing: border-box; color: #ce5c00; font-weight: bold;">+</span>
<span class="st" style="box-sizing: border-box; color: #4e9a06;"> </span><span class="kw" style="box-sizing: border-box; color: #204a87; font-weight: bold;">geom_point</span>(<span class="kw" style="box-sizing: border-box; color: #204a87; font-weight: bold;">aes</span>(<span class="dt" style="box-sizing: border-box; color: #204a87;">y=</span>rules_sup5, <span class="dt" style="box-sizing: border-box; color: #204a87;">colour=</span><span class="st" style="box-sizing: border-box; color: #4e9a06;">"Support level of 5%"</span>)) <span class="op" style="box-sizing: border-box; color: #ce5c00; font-weight: bold;">+</span>
<span class="st" style="box-sizing: border-box; color: #4e9a06;"> </span>
<span class="st" style="box-sizing: border-box; color: #4e9a06;"> </span><span class="co" style="box-sizing: border-box; color: #8f5902; font-style: italic;"># Plot line and points (support level of 1%)</span>
<span class="st" style="box-sizing: border-box; color: #4e9a06;"> </span><span class="kw" style="box-sizing: border-box; color: #204a87; font-weight: bold;">geom_line</span>(<span class="kw" style="box-sizing: border-box; color: #204a87; font-weight: bold;">aes</span>(<span class="dt" style="box-sizing: border-box; color: #204a87;">y=</span>rules_sup1, <span class="dt" style="box-sizing: border-box; color: #204a87;">colour=</span><span class="st" style="box-sizing: border-box; color: #4e9a06;">"Support level of 1%"</span>)) <span class="op" style="box-sizing: border-box; color: #ce5c00; font-weight: bold;">+</span><span class="st" style="box-sizing: border-box; color: #4e9a06;"> </span>
<span class="st" style="box-sizing: border-box; color: #4e9a06;"> </span><span class="kw" style="box-sizing: border-box; color: #204a87; font-weight: bold;">geom_point</span>(<span class="kw" style="box-sizing: border-box; color: #204a87; font-weight: bold;">aes</span>(<span class="dt" style="box-sizing: border-box; color: #204a87;">y=</span>rules_sup1, <span class="dt" style="box-sizing: border-box; color: #204a87;">colour=</span><span class="st" style="box-sizing: border-box; color: #4e9a06;">"Support level of 1%"</span>)) <span class="op" style="box-sizing: border-box; color: #ce5c00; font-weight: bold;">+</span>
<span class="st" style="box-sizing: border-box; color: #4e9a06;"> </span>
<span class="st" style="box-sizing: border-box; color: #4e9a06;"> </span><span class="co" style="box-sizing: border-box; color: #8f5902; font-style: italic;"># Plot line and points (support level of 0.5%)</span>
<span class="st" style="box-sizing: border-box; color: #4e9a06;"> </span><span class="kw" style="box-sizing: border-box; color: #204a87; font-weight: bold;">geom_line</span>(<span class="kw" style="box-sizing: border-box; color: #204a87; font-weight: bold;">aes</span>(<span class="dt" style="box-sizing: border-box; color: #204a87;">y=</span>rules_sup0<span class="fl" style="box-sizing: border-box; color: #0000cf;">.5</span>, <span class="dt" style="box-sizing: border-box; color: #204a87;">colour=</span><span class="st" style="box-sizing: border-box; color: #4e9a06;">"Support level of 0.5%"</span>)) <span class="op" style="box-sizing: border-box; color: #ce5c00; font-weight: bold;">+</span>
<span class="st" style="box-sizing: border-box; color: #4e9a06;"> </span><span class="kw" style="box-sizing: border-box; color: #204a87; font-weight: bold;">geom_point</span>(<span class="kw" style="box-sizing: border-box; color: #204a87; font-weight: bold;">aes</span>(<span class="dt" style="box-sizing: border-box; color: #204a87;">y=</span>rules_sup0<span class="fl" style="box-sizing: border-box; color: #0000cf;">.5</span>, <span class="dt" style="box-sizing: border-box; color: #204a87;">colour=</span><span class="st" style="box-sizing: border-box; color: #4e9a06;">"Support level of 0.5%"</span>)) <span class="op" style="box-sizing: border-box; color: #ce5c00; font-weight: bold;">+</span>
<span class="st" style="box-sizing: border-box; color: #4e9a06;"> </span>
<a class="sourceLine" id="cb17-23" style="background-color: transparent; box-sizing: border-box; color: inherit; display: inline-block; line-height: 1.25; pointer-events: none; text-decoration: inherit;" title="23"><span class="st" style="box-sizing: border-box; color: #4e9a06;"> </span><span class="co" style="box-sizing: border-box; color: #8f5902; font-style: italic;"># Labs and theme</span></a>
<span class="st" style="box-sizing: border-box; color: #4e9a06;"> </span><span class="kw" style="box-sizing: border-box; color: #204a87; font-weight: bold;">labs</span>(<span class="dt" style="box-sizing: border-box; color: #204a87;">x=</span><span class="st" style="box-sizing: border-box; color: #4e9a06;">"Confidence levels"</span>, <span class="dt" style="box-sizing: border-box; color: #204a87;">y=</span><span class="st" style="box-sizing: border-box; color: #4e9a06;">"Number of rules found"</span>,
<span class="dt" style="box-sizing: border-box; color: #204a87;">title=</span><span class="st" style="box-sizing: border-box; color: #4e9a06;">"Apriori algorithm with different support levels"</span>) <span class="op" style="box-sizing: border-box; color: #ce5c00; font-weight: bold;">+</span>
<span class="st" style="box-sizing: border-box; color: #4e9a06;"> </span><span class="kw" style="box-sizing: border-box; color: #204a87; font-weight: bold;">theme_bw</span>() <span class="op" style="box-sizing: border-box; color: #ce5c00; font-weight: bold;">+</span>
<span class="st" style="box-sizing: border-box; color: #4e9a06;"> </span><span class="kw" style="box-sizing: border-box; color: #204a87; font-weight: bold;">theme</span>(<span class="dt" style="box-sizing: border-box; color: #204a87;">legend.title=</span><span class="kw" style="box-sizing: border-box; color: #204a87; font-weight: bold;">element_blank</span>())</code></pre></div></div><p style="background-color: white; box-sizing: border-box; color: #333333; font-family: "Source Sans Pro", Calibri, Candara, Arial, sans-serif; font-size: 15px; margin: 0px 0px 10.5px;"><img 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" style="border: 0px; box-sizing: border-box; display: block; margin: auto; max-width: 100%; vertical-align: middle;" width="672" /></p><p style="background-color: white; box-sizing: border-box; margin: 0px 0px 10.5px;"><span face="Source Sans Pro, Calibri, Candara, Arial, sans-serif" style="color: #333333;"><span style="font-size: 15px;">Mari kita analisis hasilnya,</span></span></p><p style="background-color: white; box-sizing: border-box; margin: 0px 0px 10.5px;"><span face="Source Sans Pro, Calibri, Candara, Arial, sans-serif" style="color: #333333;"><span style="font-size: 15px;">Tingkat support 10%. Kita hanya mengidentifikasi beberapa rules dengan tingkat confidence yang sangat rendah. Ini berarti bahwa tidak ada pengaitan yang relatif sering dalam kumpulan data. Kita tidak dapat memilih nilai ini, rules yang dihasilkan tidak representatif.</span></span></p><p style="background-color: white; box-sizing: border-box; margin: 0px 0px 10.5px;"><span face="Source Sans Pro, Calibri, Candara, Arial, sans-serif" style="color: #333333;"><span style="font-size: 15px;">Tingkat support 5%. Kita hanya mengidentifikasi rules dengan tingkat confidence minimal 50%. Tampaknya kita harus mencari level support di bawah 5% untuk mendapatkan jumlah rules yang lebih banyak dengan confidence yang wajar.</span></span></p><p style="background-color: white; box-sizing: border-box; margin: 0px 0px 10.5px;"><span face="Source Sans Pro, Calibri, Candara, Arial, sans-serif" style="color: #333333;"><span style="font-size: 15px;">Tingkat support 1%. Kita mulai mendapatkan lusinan rules, yang 13 di antaranya memiliki tingkat confidence setidaknya 50%.</span></span></p><p style="background-color: white; box-sizing: border-box; margin: 0px 0px 10.5px;"><span face="Source Sans Pro, Calibri, Candara, Arial, sans-serif" style="color: #333333;"><span style="font-size: 15px;">Tingkat support 0,5%. Terlalu banyak rules untuk dianalisis!</span></span></p><p style="background-color: white; box-sizing: border-box; margin: 0px 0px 10.5px;"><span face="Source Sans Pro, Calibri, Candara, Arial, sans-serif" style="color: #333333;"><span style="font-size: 15px;">Singkatnya, kita akan menggunakan tingkat support 1% dan tingkat confidence 50%.</span></span></p><div><br /></div><div><div><span style="font-size: medium;"><b>6.2 Eksekusi</b></span></div><div>Mari kita jalankan algoritma Apriori dengan nilai-nilai yang diperoleh di bagian sebelumnya.</div></div><div><div class="sourceCode" id="cb18" style="background-color: white; box-sizing: border-box; color: #333333; font-family: "Source Sans Pro", Calibri, Candara, Arial, sans-serif; font-size: 15px; margin: 1em 0px; overflow: auto;"><div aria-expanded="true" class="r-code-collapse collapse in" id="rcode-643E0F3614" style="box-sizing: border-box;"><pre class="sourceCode r" style="background-color: #f8f8f8; border-radius: 0px; border: 1px solid rgb(204, 204, 204); box-sizing: border-box; font-size: 14px; line-height: 1.42857; margin-bottom: 0px; margin-top: 0px; overflow-wrap: break-word; overflow: auto visible; padding: 10px; word-break: break-all;"><code class="sourceCode r" style="background-color: transparent; border-radius: 0px; box-sizing: border-box; color: inherit; font-size: inherit; overflow: auto visible; padding: 0px; position: relative;"><a class="sourceLine" id="cb18-1" style="background-color: transparent; box-sizing: border-box; color: inherit; display: inline-block; line-height: 1.25; pointer-events: none; text-decoration: inherit;" title="1"><span class="co" style="box-sizing: border-box; color: #8f5902; font-style: italic;"># Apriori algorithm execution with a support level of 1% and a confidence level of 50%</span></a>
<a class="sourceLine" id="cb18-2" style="background-color: transparent; box-sizing: border-box; color: inherit; display: inline-block; line-height: 1.25; pointer-events: none; text-decoration: inherit;" title="2">rules_sup1_conf50 <-<span class="st" style="box-sizing: border-box; color: #4e9a06;"> </span><span class="kw" style="box-sizing: border-box; color: #204a87; font-weight: bold;">apriori</span>(trans, <span class="dt" style="box-sizing: border-box; color: #204a87;">parameter=</span><span class="kw" style="box-sizing: border-box; color: #204a87; font-weight: bold;">list</span>(<span class="dt" style="box-sizing: border-box; color: #204a87;">sup=</span>supportLevels[<span class="dv" style="box-sizing: border-box; color: #0000cf;">3</span>], </a>
<span class="dt" style="box-sizing: border-box; color: #204a87;">conf=</span>confidenceLevels[<span class="dv" style="box-sizing: border-box; color: #0000cf;">5</span>], <span class="dt" style="box-sizing: border-box; color: #204a87;">target=</span><span class="st" style="box-sizing: border-box; color: #4e9a06;">"rules"</span>))</code></pre></div></div><p style="background-color: white; box-sizing: border-box; color: #333333; font-family: "Source Sans Pro", Calibri, Candara, Arial, sans-serif; font-size: 15px; margin: 0px 0px 10.5px;">Association rules yang dihasilkan adalah sebagai berikut,</p><div class="sourceCode" id="cb19" style="background-color: white; box-sizing: border-box; color: #333333; font-family: "Source Sans Pro", Calibri, Candara, Arial, sans-serif; font-size: 15px; margin: 1em 0px; overflow: auto;"><div class="row" style="box-sizing: border-box; margin-left: -15px; margin-right: -15px; width: 910px;"><div class="col-md-12" style="box-sizing: border-box; float: left; min-height: 1px; padding-left: 15px; padding-right: 15px; position: relative; width: 910px;"><button aria-controls="rcode-643E0F3615" aria-expanded="true" class="btn btn-default btn-xs code-folding-btn pull-right" data-target="#rcode-643E0F3615" data-toggle="collapse" style="background-color: #222222; background-image: none; border-color: rgb(34, 34, 34); border-radius: 0px; border-style: solid; border-width: 1px; color: white; cursor: pointer; float: right; font-family: inherit; font-size: 13px; font-stretch: inherit; font-style: inherit; font-variant: inherit; line-height: 1.5; margin: 0px -30px 4px 0px; overflow: visible; padding-left: 5px; padding-right: 5px; touch-action: manipulation; user-select: none; vertical-align: middle; white-space: nowrap;" type="button"><span style="box-sizing: border-box;">Hide</span></button></div></div><div aria-expanded="true" class="r-code-collapse collapse in" id="rcode-643E0F3615" style="box-sizing: border-box;"><pre class="sourceCode r" style="background-color: #f8f8f8; border-radius: 0px; border: 1px solid rgb(204, 204, 204); box-sizing: border-box; font-size: 14px; line-height: 1.42857; margin-bottom: 0px; margin-top: 0px; overflow-wrap: break-word; overflow: auto visible; padding: 10px; word-break: break-all;"><code class="sourceCode r" style="background-color: transparent; border-radius: 0px; box-sizing: border-box; color: inherit; font-size: inherit; overflow: auto visible; padding: 0px; position: relative;"><span class="co" style="box-sizing: border-box; color: #8f5902; font-style: italic;"># Inspect association rules</span>
<span class="kw" style="box-sizing: border-box; color: #204a87; font-weight: bold;">inspect</span>(rules_sup1_conf50)</code></pre></div></div><pre style="background-color: white; border-radius: 0px; border: 1px solid rgb(204, 204, 204); box-sizing: border-box; color: #333333; font-size: 14px; line-height: 1.42857; margin-bottom: 10.5px; margin-top: 0px; overflow-wrap: break-word; overflow: auto; padding: 10px; word-break: break-all;"><code style="background-color: transparent; border-radius: 0px; box-sizing: border-box; color: inherit; font-size: inherit; padding: 0px; white-space: pre-wrap;">## lhs rhs support confidence coverage lift
## [1] {Tiffin} => {Coffee} 0.01058361 0.5468750 0.01935289 1.134577
## [2] {Spanish Brunch} => {Coffee} 0.01406108 0.6326531 0.02222558 1.312537
## [3] {Scone} => {Coffee} 0.01844572 0.5422222 0.03401875 1.124924
## [4] {Toast} => {Coffee} 0.02570305 0.7296137 0.03522830 1.513697
## [5] {Alfajores} => {Coffee} 0.02237678 0.5522388 0.04052011 1.145705
## [6] {Juice} => {Coffee} 0.02131842 0.5300752 0.04021772 1.099723
## [7] {Hot chocolate} => {Coffee} 0.02721500 0.5263158 0.05170850 1.091924
## [8] {Medialuna} => {Coffee} 0.03296039 0.5751979 0.05730269 1.193337
## [9] {Cookies} => {Coffee} 0.02978530 0.5267380 0.05654672 1.092800
## [10] {NONE} => {Coffee} 0.04172966 0.5810526 0.07181736 1.205484
## [11] {Sandwich} => {Coffee} 0.04233444 0.5679513 0.07453886 1.178303
## [12] {Pastry} => {Coffee} 0.04868461 0.5590278 0.08708800 1.159790
## [13] {Cake} => {Coffee} 0.05654672 0.5389049 0.10492894 1.118042
## count
## [1] 70
## [2] 93
## [3] 122
## [4] 170
## [5] 148
## [6] 141
## [7] 180
## [8] 218
## [9] 197
## [10] 276
## [11] 280
## [12] 322
## [13] 374</code></pre></div><div><div>Kita juga bisa membuat widget tabel HTML menggunakan fungsi inspectDT() dari library aruslesViz. rules dapat disaring dan diurutkan secara interaktif.</div><div><br /></div><div>Bagaimana kita menafsirkan rules ini?</div><div><br /></div><div>52% pelanggan yang membeli cokelat panas algo membeli kopi.</div><div>63% pelanggan yang membeli brunch ala Spanyol juga membeli kopi.</div><div>73% pelanggan yang membeli roti panggang juga membeli kopi.</div><div>Dan seterusnya. Sepertinya di bakery ini banyak pecinta kopi lho!</div></div><div><br /></div><div><div><span style="font-size: medium;"><b>6.3 Visualisasikan association rules</b></span></div><div>Kita akan menggunakan library arulesViz untuk membuat visualisasi. Mari kita mulai dengan scatter plot sederhana dengan berbagai ukuran ketertarikan pada sumbu/axes ( lift dan support) dan ukuran ketiga (confidence) yang diwakili oleh warna titik.</div></div><div><div class="sourceCode" id="cb21" style="background-color: white; box-sizing: border-box; color: #333333; font-family: "Source Sans Pro", Calibri, Candara, Arial, sans-serif; font-size: 15px; margin: 1em 0px; overflow: auto;"><div aria-expanded="true" class="r-code-collapse collapse in" id="rcode-643E0F3616" style="box-sizing: border-box;"><pre class="sourceCode r" style="background-color: #f8f8f8; border-radius: 0px; border: 1px solid rgb(204, 204, 204); box-sizing: border-box; font-size: 14px; line-height: 1.42857; margin-bottom: 0px; margin-top: 0px; overflow-wrap: break-word; overflow: auto visible; padding: 10px; word-break: break-all;"><code class="sourceCode r" style="background-color: transparent; border-radius: 0px; box-sizing: border-box; color: inherit; font-size: inherit; overflow: auto visible; padding: 0px; position: relative;"><a class="sourceLine" id="cb21-1" style="background-color: transparent; box-sizing: border-box; color: inherit; display: inline-block; line-height: 1.25; pointer-events: none; text-decoration: inherit;" title="1"><span class="co" style="box-sizing: border-box; color: #8f5902; font-style: italic;"># Scatter plot</span></a>
<a class="sourceLine" id="cb21-2" style="background-color: transparent; box-sizing: border-box; color: inherit; display: inline-block; line-height: 1.25; pointer-events: none; text-decoration: inherit;" title="2"><span class="kw" style="box-sizing: border-box; color: #204a87; font-weight: bold;">plot</span>(rules_sup1_conf50, <span class="dt" style="box-sizing: border-box; color: #204a87;">measure=</span><span class="kw" style="box-sizing: border-box; color: #204a87; font-weight: bold;">c</span>(<span class="st" style="box-sizing: border-box; color: #4e9a06;">"support"</span>, <span class="st" style="box-sizing: border-box; color: #4e9a06;">"lift"</span>), <span class="dt" style="box-sizing: border-box; color: #204a87;">shading=</span><span class="st" style="box-sizing: border-box; color: #4e9a06;">"confidence"</span>)</a></code></pre></div></div><p style="background-color: white; box-sizing: border-box; color: #333333; font-family: "Source Sans Pro", Calibri, Candara, Arial, sans-serif; font-size: 15px; margin: 0px 0px 10.5px;"><img src="data:image/png;base64,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" style="border: 0px; box-sizing: border-box; display: block; margin: auto; max-width: 100%; vertical-align: middle;" width="672" /></p><p style="background-color: white; box-sizing: border-box; margin: 0px 0px 10.5px;"><span face="Source Sans Pro, Calibri, Candara, Arial, sans-serif" style="color: #333333;"><span style="font-size: 15px;">Visualisasi berikut merepresentasikan rules sebagai grafik dengan item sebagai labeled vertices, dan rules direpresentasikan sebagai vertices/simpul yang terhubung ke item menggunakan panah.</span></span></p><div class="sourceCode" id="cb22" style="background-color: white; box-sizing: border-box; color: #333333; font-family: "Source Sans Pro", Calibri, Candara, Arial, sans-serif; font-size: 15px; margin: 1em 0px; overflow: auto;"><div aria-expanded="true" class="r-code-collapse collapse in" id="rcode-643E0F3617" style="box-sizing: border-box;"><pre class="sourceCode r" style="background-color: #f8f8f8; border-radius: 0px; border: 1px solid rgb(204, 204, 204); box-sizing: border-box; font-size: 14px; line-height: 1.42857; margin-bottom: 0px; margin-top: 0px; overflow-wrap: break-word; overflow: auto visible; padding: 10px; word-break: break-all;"><code class="sourceCode r" style="background-color: transparent; border-radius: 0px; box-sizing: border-box; color: inherit; font-size: inherit; overflow: auto visible; padding: 0px; position: relative;"><a class="sourceLine" id="cb22-1" style="background-color: transparent; box-sizing: border-box; color: inherit; display: inline-block; line-height: 1.25; pointer-events: none; text-decoration: inherit;" title="1"><span class="co" style="box-sizing: border-box; color: #8f5902; font-style: italic;"># Graph (default layout)</span></a>
<a class="sourceLine" id="cb22-2" style="background-color: transparent; box-sizing: border-box; color: inherit; display: inline-block; line-height: 1.25; pointer-events: none; text-decoration: inherit;" title="2"><span class="kw" style="box-sizing: border-box; color: #204a87; font-weight: bold;">plot</span>(rules_sup1_conf50, <span class="dt" style="box-sizing: border-box; color: #204a87;">method=</span><span class="st" style="box-sizing: border-box; color: #4e9a06;">"graph"</span>)</a></code></pre></div></div><p style="background-color: white; box-sizing: border-box; color: #333333; font-family: "Source Sans Pro", Calibri, Candara, Arial, sans-serif; font-size: 15px; margin: 0px 0px 10.5px;"><img src="data:image/png;base64,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" style="border: 0px; box-sizing: border-box; display: block; margin: auto; max-width: 100%; vertical-align: middle;" width="672" /></p></div><div>kita juga dapat mengubah tata letak grafik.</div><div><div class="sourceCode" id="cb23" style="background-color: white; box-sizing: border-box; color: #333333; font-family: "Source Sans Pro", Calibri, Candara, Arial, sans-serif; font-size: 15px; margin: 1em 0px; overflow: auto;"><div aria-expanded="true" class="r-code-collapse collapse in" id="rcode-643E0F3618" style="box-sizing: border-box;"><pre class="sourceCode r" style="background-color: #f8f8f8; border-radius: 0px; border: 1px solid rgb(204, 204, 204); box-sizing: border-box; font-size: 14px; line-height: 1.42857; margin-bottom: 0px; margin-top: 0px; overflow-wrap: break-word; overflow: auto visible; padding: 10px; word-break: break-all;"><code class="sourceCode r" style="background-color: transparent; border-radius: 0px; box-sizing: border-box; color: inherit; font-size: inherit; overflow: auto visible; padding: 0px; position: relative;"><a class="sourceLine" id="cb23-1" style="background-color: transparent; box-sizing: border-box; color: inherit; display: inline-block; line-height: 1.25; pointer-events: none; text-decoration: inherit;" title="1"><span class="co" style="box-sizing: border-box; color: #8f5902; font-style: italic;"># Graph (circular layout)</span></a>
<a class="sourceLine" id="cb23-2" style="background-color: transparent; box-sizing: border-box; color: inherit; display: inline-block; line-height: 1.25; pointer-events: none; text-decoration: inherit;" title="2"><span class="kw" style="box-sizing: border-box; color: #204a87; font-weight: bold;">plot</span>(rules_sup1_conf50, <span class="dt" style="box-sizing: border-box; color: #204a87;">method=</span><span class="st" style="box-sizing: border-box; color: #4e9a06;">"graph"</span>, <span class="dt" style="box-sizing: border-box; color: #204a87;">control=</span><span class="kw" style="box-sizing: border-box; color: #204a87; font-weight: bold;">list</span>(<span class="dt" style="box-sizing: border-box; color: #204a87;">layout=</span>igraph<span class="op" style="box-sizing: border-box; color: #ce5c00; font-weight: bold;">::</span><span class="kw" style="box-sizing: border-box; color: #204a87; font-weight: bold;">in_circle</span>()))</a></code></pre></div></div><p style="background-color: white; box-sizing: border-box; color: #333333; font-family: "Source Sans Pro", Calibri, Candara, Arial, sans-serif; font-size: 15px; margin: 0px 0px 10.5px;"><img 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" style="border: 0px; box-sizing: border-box; display: block; margin: auto; max-width: 100%; vertical-align: middle;" width="672" /></p><p style="background-color: white; box-sizing: border-box; margin: 0px 0px 10.5px;"><span face="Source Sans Pro, Calibri, Candara, Arial, sans-serif" style="color: #333333;"><span style="font-size: 15px;">Apa lagi yang bisa kita lakukan? Kita dapat merepresentasikan rules sebagai visualisasi berbasis matriks yang dikelompokkan. Ukuran support dan lift masing-masing diwakili oleh ukuran dan warna balon. Dalam hal ini, ini bukan visualisasi yang bagus, karena kita hanya memiliki coffee di sisi kanan rules.</span></span></p><div class="sourceCode" id="cb24" style="background-color: white; box-sizing: border-box; color: #333333; font-family: "Source Sans Pro", Calibri, Candara, Arial, sans-serif; font-size: 15px; margin: 1em 0px; overflow: auto;"><div aria-expanded="true" class="r-code-collapse collapse in" id="rcode-643E0F3619" style="box-sizing: border-box;"><pre class="sourceCode r" style="background-color: #f8f8f8; border-radius: 0px; border: 1px solid rgb(204, 204, 204); box-sizing: border-box; font-size: 14px; line-height: 1.42857; margin-bottom: 0px; margin-top: 0px; overflow-wrap: break-word; overflow: auto visible; padding: 10px; word-break: break-all;"><code class="sourceCode r" style="background-color: transparent; border-radius: 0px; box-sizing: border-box; color: inherit; font-size: inherit; overflow: auto visible; padding: 0px; position: relative;"><a class="sourceLine" id="cb24-1" style="background-color: transparent; box-sizing: border-box; color: inherit; display: inline-block; line-height: 1.25; pointer-events: none; text-decoration: inherit;" title="1"><span class="co" style="box-sizing: border-box; color: #8f5902; font-style: italic;"># Grouped matrix plot</span></a>
<a class="sourceLine" id="cb24-2" style="background-color: transparent; box-sizing: border-box; color: inherit; display: inline-block; line-height: 1.25; pointer-events: none; text-decoration: inherit;" title="2"><span class="kw" style="box-sizing: border-box; color: #204a87; font-weight: bold;">plot</span>(rules_sup1_conf50, <span class="dt" style="box-sizing: border-box; color: #204a87;">method=</span><span class="st" style="box-sizing: border-box; color: #4e9a06;">"grouped"</span>)</a></code></pre></div></div><p style="background-color: white; box-sizing: border-box; color: #333333; font-family: "Source Sans Pro", Calibri, Candara, Arial, sans-serif; font-size: 15px; margin: 0px 0px 10.5px;"><img src="data:image/png;base64,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" style="border: 0px; box-sizing: border-box; display: block; margin: auto; max-width: 100%; vertical-align: middle;" width="672" /></p><p style="background-color: white; box-sizing: border-box; margin: 0px 0px 10.5px;"><span face="Source Sans Pro, Calibri, Candara, Arial, sans-serif" style="color: #333333;"><span style="font-size: 15px;">Ada fungsi luar biasa yang disebut ruleExplorer() yang mengeksplorasi association rules menggunakan manipulasi dan visualisasi interaktif menggunakan shiny.</span></span></p><p style="background-color: white; box-sizing: border-box; margin: 0px 0px 10.5px;"><span face="Source Sans Pro, Calibri, Candara, Arial, sans-serif" style="color: #333333; font-size: medium;"><b>6.4 Eksekusi lainnya</b></span></p><p style="background-color: white; box-sizing: border-box; margin: 0px 0px 10.5px;"></p><p style="background-color: white; box-sizing: border-box; margin: 0px 0px 10.5px;"><span face="Source Sans Pro, Calibri, Candara, Arial, sans-serif" style="color: #333333;"><span style="font-size: 15px;">Kita telah mengeksekusi algoritma Apriori dengan nilai support dan confidence yang sesuai. Apa yang terjadi jika kita menjalankannya dengan nilai rendah? Bagaimana visualisasi apakah berubah? Mari kita coba dengan tingkat support 0,5% dan tingkat confidence 10%.</span></span></p></div><div><pre class="sourceCode r" style="background-color: #f8f8f8; border-radius: 0px; border: 1px solid rgb(204, 204, 204); box-sizing: border-box; color: #333333; font-size: 14px; line-height: 1.42857; margin-bottom: 0px; margin-top: 0px; overflow-wrap: break-word; overflow: auto visible; padding: 10px; word-break: break-all;"><code class="sourceCode r" style="background-color: transparent; border-radius: 0px; box-sizing: border-box; color: inherit; font-size: inherit; overflow: auto visible; padding: 0px; position: relative;"><span class="co" style="box-sizing: border-box; color: #8f5902; font-style: italic;"># Apriori algorithm execution with a support level of 0.5% and a confidence level of 10%</span>
rules_sup0<span class="fl" style="box-sizing: border-box; color: #0000cf;">.5</span>_conf10 <-<span class="st" style="box-sizing: border-box; color: #4e9a06;"> </span><span class="kw" style="box-sizing: border-box; color: #204a87; font-weight: bold;">apriori</span>(trans, <span class="dt" style="box-sizing: border-box; color: #204a87;">parameter=</span><span class="kw" style="box-sizing: border-box; color: #204a87; font-weight: bold;">list</span>(<span class="dt" style="box-sizing: border-box; color: #204a87;">sup=</span>supportLevels[<span class="dv" style="box-sizing: border-box; color: #0000cf;">4</span>], <span class="dt" style="box-sizing: border-box; color: #204a87;">conf=</span>confidenceLevels[<span class="dv" style="box-sizing: border-box; color: #0000cf;">9</span>], <span class="dt" style="box-sizing: border-box; color: #204a87;">target=</span><span class="st" style="box-sizing: border-box; color: #4e9a06;">"rules"</span>))</code></pre></div><div><br /></div><div>Tidak mungkin menganalisis visualisasi ini! WKWKWKW. Untuk kumpulan rules yang lebih besar, analisis visual menjadi sulit. Selain itu, sebagian besar rules menjadi tidak berguna. Itu sebabnya kita harus hati-hati memilih nilai support dan confidence diri.</div><div><br /></div><div><b>Graph</b></div><div><div class="sourceCode" id="cb26" style="background-color: white; box-sizing: border-box; color: #333333; font-family: "Source Sans Pro", Calibri, Candara, Arial, sans-serif; font-size: 15px; margin: 1em 0px; overflow: auto;"><div aria-expanded="true" class="r-code-collapse collapse in" id="rcode-643E0F3621" style="box-sizing: border-box;"><pre class="sourceCode r" style="background-color: #f8f8f8; border-radius: 0px; border: 1px solid rgb(204, 204, 204); box-sizing: border-box; font-size: 14px; line-height: 1.42857; margin-bottom: 0px; margin-top: 0px; overflow-wrap: break-word; overflow: auto visible; padding: 10px; word-break: break-all;"><code class="sourceCode r" style="background-color: transparent; border-radius: 0px; box-sizing: border-box; color: inherit; font-size: inherit; overflow: auto visible; padding: 0px; position: relative;"><a class="sourceLine" id="cb26-1" style="background-color: transparent; box-sizing: border-box; color: inherit; display: inline-block; line-height: 1.25; pointer-events: none; text-decoration: inherit;" title="1"><span class="co" style="box-sizing: border-box; color: #8f5902; font-style: italic;"># Graph (circular layout)</span></a>
<a class="sourceLine" id="cb26-2" style="background-color: transparent; box-sizing: border-box; color: inherit; display: inline-block; line-height: 1.25; pointer-events: none; text-decoration: inherit;" title="2"><span class="kw" style="box-sizing: border-box; color: #204a87; font-weight: bold;">plot</span>(rules_sup0<span class="fl" style="box-sizing: border-box; color: #0000cf;">.5</span>_conf10, <span class="dt" style="box-sizing: border-box; color: #204a87;">method=</span><span class="st" style="box-sizing: border-box; color: #4e9a06;">"graph"</span>, <span class="dt" style="box-sizing: border-box; color: #204a87;">control=</span><span class="kw" style="box-sizing: border-box; color: #204a87; font-weight: bold;">list</span>(<span class="dt" style="box-sizing: border-box; color: #204a87;">layout=</span>igraph<span class="op" style="box-sizing: border-box; color: #ce5c00; font-weight: bold;">::</span><span class="kw" style="box-sizing: border-box; color: #204a87; font-weight: bold;">in_circle</span>()))</a></code></pre></div></div><p style="background-color: white; box-sizing: border-box; color: #333333; font-family: "Source Sans Pro", Calibri, Candara, Arial, sans-serif; font-size: 15px; margin: 0px 0px 10.5px;"><img 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" style="border: 0px; box-sizing: border-box; display: block; margin: auto; max-width: 100%; vertical-align: middle;" width="672" /></p></div><div><b>Parallel coordinates plot</b></div><div><div class="sourceCode" id="cb27" style="background-color: white; box-sizing: border-box; color: #333333; font-family: "Source Sans Pro", Calibri, Candara, Arial, sans-serif; font-size: 15px; margin: 1em 0px; overflow: auto;"><div aria-expanded="true" class="r-code-collapse collapse in" id="rcode-643E0F3622" style="box-sizing: border-box;"><pre class="sourceCode r" style="background-color: #f8f8f8; border-radius: 0px; border: 1px solid rgb(204, 204, 204); box-sizing: border-box; font-size: 14px; line-height: 1.42857; margin-bottom: 0px; margin-top: 0px; overflow-wrap: break-word; overflow: auto visible; padding: 10px; word-break: break-all;"><code class="sourceCode r" style="background-color: transparent; border-radius: 0px; box-sizing: border-box; color: inherit; font-size: inherit; overflow: auto visible; padding: 0px; position: relative;"><a class="sourceLine" id="cb27-1" style="background-color: transparent; box-sizing: border-box; color: inherit; display: inline-block; line-height: 1.25; pointer-events: none; text-decoration: inherit;" title="1"><span class="co" style="box-sizing: border-box; color: #8f5902; font-style: italic;"># Parallel coordinates plot</span></a>
<a class="sourceLine" id="cb27-2" style="background-color: transparent; box-sizing: border-box; color: inherit; display: inline-block; line-height: 1.25; pointer-events: none; text-decoration: inherit;" title="2"><span class="kw" style="box-sizing: border-box; color: #204a87; font-weight: bold;">plot</span>(rules_sup0<span class="fl" style="box-sizing: border-box; color: #0000cf;">.5</span>_conf10, <span class="dt" style="box-sizing: border-box; color: #204a87;">method=</span><span class="st" style="box-sizing: border-box; color: #4e9a06;">"paracoord"</span>, <span class="dt" style="box-sizing: border-box; color: #204a87;">control=</span><span class="kw" style="box-sizing: border-box; color: #204a87; font-weight: bold;">list</span>(<span class="dt" style="box-sizing: border-box; color: #204a87;">reorder=</span><span class="ot" style="box-sizing: border-box; color: #8f5902;">TRUE</span>))</a></code></pre></div></div><p style="background-color: white; box-sizing: border-box; color: #333333; font-family: "Source Sans Pro", Calibri, Candara, Arial, sans-serif; font-size: 15px; margin: 0px 0px 10.5px;"><img 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" style="border: 0px; box-sizing: border-box; display: block; margin: auto; max-width: 100%; vertical-align: middle;" width="672" /></p></div><div><b>Grouped matrix plot</b></div><div><div class="sourceCode" id="cb28" style="background-color: white; box-sizing: border-box; color: #333333; font-family: "Source Sans Pro", Calibri, Candara, Arial, sans-serif; font-size: 15px; margin: 1em 0px; overflow: auto;"><div aria-expanded="true" class="r-code-collapse collapse in" id="rcode-643E0F3623" style="box-sizing: border-box;"><pre class="sourceCode r" style="background-color: #f8f8f8; border-radius: 0px; border: 1px solid rgb(204, 204, 204); box-sizing: border-box; font-size: 14px; line-height: 1.42857; margin-bottom: 0px; margin-top: 0px; overflow-wrap: break-word; overflow: auto visible; padding: 10px; word-break: break-all;"><code class="sourceCode r" style="background-color: transparent; border-radius: 0px; box-sizing: border-box; color: inherit; font-size: inherit; overflow: auto visible; padding: 0px; position: relative;"><a class="sourceLine" id="cb28-1" style="background-color: transparent; box-sizing: border-box; color: inherit; display: inline-block; line-height: 1.25; pointer-events: none; text-decoration: inherit;" title="1"><span class="co" style="box-sizing: border-box; color: #8f5902; font-style: italic;"># Grouped matrix plot</span></a>
<a class="sourceLine" id="cb28-2" style="background-color: transparent; box-sizing: border-box; color: inherit; display: inline-block; line-height: 1.25; pointer-events: none; text-decoration: inherit;" title="2"><span class="kw" style="box-sizing: border-box; color: #204a87; font-weight: bold;">plot</span>(rules_sup0<span class="fl" style="box-sizing: border-box; color: #0000cf;">.5</span>_conf10, <span class="dt" style="box-sizing: border-box; color: #204a87;">method=</span><span class="st" style="box-sizing: border-box; color: #4e9a06;">"grouped"</span>)</a></code></pre></div></div><p style="background-color: white; box-sizing: border-box; color: #333333; font-family: "Source Sans Pro", Calibri, Candara, Arial, sans-serif; font-size: 15px; margin: 0px 0px 10.5px;"><img 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" style="border: 0px; box-sizing: border-box; display: block; margin: auto; max-width: 100%; vertical-align: middle;" width="672" /></p><p style="background-color: white; box-sizing: border-box; color: #333333; font-family: "Source Sans Pro", Calibri, Candara, Arial, sans-serif; font-size: 15px; margin: 0px 0px 10.5px;"><b>Scatter plot</b></p><div class="sourceCode" id="cb29" style="background-color: white; box-sizing: border-box; color: #333333; font-family: "Source Sans Pro", Calibri, Candara, Arial, sans-serif; font-size: 15px; margin: 1em 0px; overflow: auto;"><div aria-expanded="true" class="r-code-collapse collapse in" id="rcode-643E0F3624" style="box-sizing: border-box;"><pre class="sourceCode r" style="background-color: #f8f8f8; border-radius: 0px; border: 1px solid rgb(204, 204, 204); box-sizing: border-box; font-size: 14px; line-height: 1.42857; margin-bottom: 0px; margin-top: 0px; overflow-wrap: break-word; overflow: auto visible; padding: 10px; word-break: break-all;"><code class="sourceCode r" style="background-color: transparent; border-radius: 0px; box-sizing: border-box; color: inherit; font-size: inherit; overflow: auto visible; padding: 0px; position: relative;"><a class="sourceLine" id="cb29-1" style="background-color: transparent; box-sizing: border-box; color: inherit; display: inline-block; line-height: 1.25; pointer-events: none; text-decoration: inherit;" title="1"><span class="co" style="box-sizing: border-box; color: #8f5902; font-style: italic;"># Scatter plot</span></a>
<a class="sourceLine" id="cb29-2" style="background-color: transparent; box-sizing: border-box; color: inherit; display: inline-block; line-height: 1.25; pointer-events: none; text-decoration: inherit;" title="2"><span class="kw" style="box-sizing: border-box; color: #204a87; font-weight: bold;">plot</span>(rules_sup0<span class="fl" style="box-sizing: border-box; color: #0000cf;">.5</span>_conf10, <span class="dt" style="box-sizing: border-box; color: #204a87;">measure=</span><span class="kw" style="box-sizing: border-box; color: #204a87; font-weight: bold;">c</span>(<span class="st" style="box-sizing: border-box; color: #4e9a06;">"support"</span>, <span class="st" style="box-sizing: border-box; color: #4e9a06;">"lift"</span>), <span class="dt" style="box-sizing: border-box; color: #204a87;">shading=</span><span class="st" style="box-sizing: border-box; color: #4e9a06;">"confidence"</span>, <span class="dt" style="box-sizing: border-box; color: #204a87;">jitter=</span><span class="dv" style="box-sizing: border-box; color: #0000cf;">0</span>)</a></code></pre></div></div><p style="background-color: white; box-sizing: border-box; color: #333333; font-family: "Source Sans Pro", Calibri, Candara, Arial, sans-serif; font-size: 15px; margin: 0px 0px 10.5px;"><img 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" style="border: 0px; box-sizing: border-box; display: block; margin: auto; max-width: 100%; vertical-align: middle;" width="672" /></p><p style="background-color: white; box-sizing: border-box; color: #333333; font-family: "Source Sans Pro", Calibri, Candara, Arial, sans-serif; font-size: 15px; margin: 0px 0px 10.5px;">Mungkin sekian dulu untuk post kali ini tentang MBA , Terimakasih</p><p style="background-color: white; box-sizing: border-box; color: #333333; font-family: "Source Sans Pro", Calibri, Candara, Arial, sans-serif; font-size: 15px; margin: 0px 0px 10.5px;"><br /></p><p style="background-color: white; box-sizing: border-box; color: #333333; font-family: "Source Sans Pro", Calibri, Candara, Arial, sans-serif; font-size: 15px; margin: 0px 0px 10.5px;">credit: https://github.com/lulukuo530/BakeryTranscation</p></div>Jimmy Pujosenohttp://www.blogger.com/profile/17973647737656365646noreply@blogger.com0tag:blogger.com,1999:blog-7652763575876291773.post-62857693922991132452020-11-05T21:00:00.007+07:002022-05-31T15:53:59.767+07:00Market Basket Analysis Menggunakan R Part 1<p><b><span style="font-size: large;"> 1. Introduction</span></b></p><p>Hai! Di kernel ini kita akan menggunakan algoritma Apriori untuk melakukan Market basket analysis. Market apa? Merupakan teknik yang digunakan oleh pengecer besar untuk mengungkap asosiasi antar item. Ini bekerja dengan mencari kombinasi item yang sering terjadi bersamaan dalam transaksi, memberikan informasi untuk memahami perilaku pembelian. Hasil dari jenis teknik ini, secara sederhana, adalah seperangkat aturan yang dapat dipahami sebagai "jika ini, maka itu". <span></span></p><a name='more'></a><p></p><p>Pertama, penting untuk menentukan algoritma Apriori, termasuk beberapa konsep statistik (support, confidence, lift dan conviction) untuk memilih aturan yang menarik. Kemudian kita akan menggunakan kumpulan data yang berisi lebih dari 6.000 transaksi dari toko roti/Bread untuk menerapkan algoritma dan menemukan kombinasi produk yang dibeli bersama.</p><p><span style="font-size: large;"><b>2 Association rules</b></span></p><p>Algoritme Apriori menghasilkan aturan asosiasi atau asosciation rule untuk kumpulan data tertentu. Asosciation rule menyiratkan bahwa jika item A muncul, maka item B juga terjadi dengan probabilitas tertentu. Mari kita lihat contohnya,</p><div align="center">
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<p align="center" class="MsoNormal" style="line-height: normal; margin-bottom: 0cm; text-align: center;">Transaction<o:p></o:p></p>
</td>
<td nowrap="" style="border-left: none; border: 1pt solid windowtext; height: 14.5pt; mso-border-bottom-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0cm 5.4pt; width: 231pt;" valign="bottom" width="308">
<p align="center" class="MsoNormal" style="line-height: normal; margin-bottom: 0cm; text-align: center;">Items<o:p></o:p></p>
</td>
</tr>
<tr style="height: 14.5pt; mso-yfti-irow: 1;">
<td nowrap="" style="border-top: none; border: 1pt solid windowtext; height: 14.5pt; mso-border-bottom-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; padding: 0cm 5.4pt; width: 77pt;" valign="bottom" width="103">
<p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm;">t1<o:p></o:p></p>
</td>
<td nowrap="" style="border-bottom: 1pt solid windowtext; border-left: none; border-right: 1pt solid windowtext; border-top: none; height: 14.5pt; mso-border-bottom-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; padding: 0cm 5.4pt; width: 231pt;" valign="bottom" width="308">
<p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm;">{T-shirt, Trousers, Belt}<o:p></o:p></p>
</td>
</tr>
<tr style="height: 14.5pt; mso-yfti-irow: 2;">
<td nowrap="" style="border-top: none; border: 1pt solid windowtext; height: 14.5pt; mso-border-bottom-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; padding: 0cm 5.4pt; width: 77pt;" valign="bottom" width="103">
<p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm;">t2<o:p></o:p></p>
</td>
<td nowrap="" style="border-bottom: 1pt solid windowtext; border-left: none; border-right: 1pt solid windowtext; border-top: none; height: 14.5pt; mso-border-bottom-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; padding: 0cm 5.4pt; width: 231pt;" valign="bottom" width="308">
<p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm;">{T-shirt, Jacket}<o:p></o:p></p>
</td>
</tr>
<tr style="height: 14.5pt; mso-yfti-irow: 3;">
<td nowrap="" style="border-top: none; border: 1pt solid windowtext; height: 14.5pt; mso-border-bottom-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; padding: 0cm 5.4pt; width: 77pt;" valign="bottom" width="103">
<p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm;">t3<o:p></o:p></p>
</td>
<td nowrap="" style="border-bottom: 1pt solid windowtext; border-left: none; border-right: 1pt solid windowtext; border-top: none; height: 14.5pt; mso-border-bottom-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; padding: 0cm 5.4pt; width: 231pt;" valign="bottom" width="308">
<p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm;">{Jacket, Gloves}<o:p></o:p></p>
</td>
</tr>
<tr style="height: 14.5pt; mso-yfti-irow: 4;">
<td nowrap="" style="border-top: none; border: 1pt solid windowtext; height: 14.5pt; mso-border-bottom-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; padding: 0cm 5.4pt; width: 77pt;" valign="bottom" width="103">
<p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm;">t4<o:p></o:p></p>
</td>
<td nowrap="" style="border-bottom: 1pt solid windowtext; border-left: none; border-right: 1pt solid windowtext; border-top: none; height: 14.5pt; mso-border-bottom-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; padding: 0cm 5.4pt; width: 231pt;" valign="bottom" width="308">
<p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm;">{T-shirt, Trousers, Jacket}<o:p></o:p></p>
</td>
</tr>
<tr style="height: 14.5pt; mso-yfti-irow: 5;">
<td nowrap="" style="border-top: none; border: 1pt solid windowtext; height: 14.5pt; mso-border-bottom-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; padding: 0cm 5.4pt; width: 77pt;" valign="bottom" width="103">
<p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm;">t5<o:p></o:p></p>
</td>
<td nowrap="" style="border-bottom: 1pt solid windowtext; border-left: none; border-right: 1pt solid windowtext; border-top: none; height: 14.5pt; mso-border-bottom-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; padding: 0cm 5.4pt; width: 231pt;" valign="bottom" width="308">
<p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm;">{T-shirt, Trousers, Sneakers, Jacket, Belt}<o:p></o:p></p>
</td>
</tr>
<tr style="height: 14.5pt; mso-yfti-irow: 6;">
<td nowrap="" style="border-top: none; border: 1pt solid windowtext; height: 14.5pt; mso-border-bottom-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; padding: 0cm 5.4pt; width: 77pt;" valign="bottom" width="103">
<p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm;">t6<o:p></o:p></p>
</td>
<td nowrap="" style="border-bottom: 1pt solid windowtext; border-left: none; border-right: 1pt solid windowtext; border-top: none; height: 14.5pt; mso-border-bottom-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; padding: 0cm 5.4pt; width: 231pt;" valign="bottom" width="308">
<p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm;">{Trousers, Sneakers, Belt}<o:p></o:p></p>
</td>
</tr>
<tr style="height: 14.5pt; mso-yfti-irow: 7; mso-yfti-lastrow: yes;">
<td nowrap="" style="border-top: none; border: 1pt solid windowtext; height: 14.5pt; mso-border-bottom-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; padding: 0cm 5.4pt; width: 77pt;" valign="bottom" width="103">
<p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm;">t7<o:p></o:p></p>
</td>
<td nowrap="" style="border-bottom: 1pt solid windowtext; border-left: none; border-right: 1pt solid windowtext; border-top: none; height: 14.5pt; mso-border-bottom-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; padding: 0cm 5.4pt; width: 231pt;" valign="bottom" width="308">
<p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm;">{Trousers, Belt, Sneakers}<o:p></o:p></p>
</td>
</tr>
</tbody></table>
</div><div><div>Pada tabel di atas kita dapat melihat tujuh transaksi dari sebuah toko pakaian. Setiap transaksi menunjukkan barang yang dibeli dalam transaksi itu. Kita dapat mewakili itemnya sebagai <b>item set</b> seperti berikut:</div><div><br /></div><div><span face=""Source Sans Pro", Calibri, Candara, Arial, sans-serif" style="background-color: white; border: 0px; box-sizing: border-box; color: #333333; display: inline-block; font-size: 16.65px; height: 0px; line-height: normal; margin: 0px; padding: 0px; position: relative; text-align: center; transition: none 0s ease 0s; vertical-align: 0px; white-space: nowrap; width: 7.991em;"><span style="border: 0px; box-sizing: border-box; clip: rect(1.384em, 1007.93em, 2.706em, -999.997em); left: 0em; line-height: normal; margin: 0px; padding: 0px; position: absolute; top: -2.279em; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mrow" id="MathJax-Span-2" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-3" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">I<span style="border: 0px; box-sizing: border-box; display: inline-block; height: 1px; line-height: normal; margin: 0px; overflow: hidden; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 0.063em;"></span></span><span class="mo" id="MathJax-Span-4" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.303em; position: static; transition: none 0s ease 0s; vertical-align: 0px;">=</span><span class="mo" id="MathJax-Span-5" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.303em; position: static; transition: none 0s ease 0s; vertical-align: 0px;">{</span><span class="msubsup" id="MathJax-Span-6" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;"><span style="border: 0px; box-sizing: border-box; display: inline-block; height: 0px; line-height: normal; margin: 0px; padding: 0px; position: relative; transition: none 0s ease 0s; vertical-align: 0px; width: 0.784em;"><span style="border: 0px; box-sizing: border-box; clip: rect(3.186em, 1000.3em, 4.207em, -999.997em); left: 0em; line-height: normal; margin: 0px; padding: 0px; position: absolute; top: -4.021em; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-7" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">i</span><span style="border: 0px; box-sizing: border-box; display: inline-block; height: 4.027em; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 0px;"></span></span><span style="border: 0px; box-sizing: border-box; left: 0.363em; line-height: normal; margin: 0px; padding: 0px; position: absolute; top: -3.901em; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mn" id="MathJax-Span-8" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; font-size: 11.7715px; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">1</span><span style="border: 0px; box-sizing: border-box; display: inline-block; height: 4.027em; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 0px;"></span></span></span></span><span class="mo" id="MathJax-Span-9" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">,</span><span class="msubsup" id="MathJax-Span-10" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.183em; position: static; transition: none 0s ease 0s; vertical-align: 0px;"><span style="border: 0px; box-sizing: border-box; display: inline-block; height: 0px; line-height: normal; margin: 0px; padding: 0px; position: relative; transition: none 0s ease 0s; vertical-align: 0px; width: 0.784em;"><span style="border: 0px; box-sizing: border-box; clip: rect(3.186em, 1000.3em, 4.207em, -999.997em); left: 0em; line-height: normal; margin: 0px; padding: 0px; position: absolute; top: -4.021em; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-11" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">i</span><span style="border: 0px; box-sizing: border-box; display: inline-block; height: 4.027em; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 0px;"></span></span><span style="border: 0px; box-sizing: border-box; left: 0.363em; line-height: normal; margin: 0px; padding: 0px; position: absolute; top: -3.901em; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mn" id="MathJax-Span-12" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; font-size: 11.7715px; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">2</span><span style="border: 0px; box-sizing: border-box; display: inline-block; height: 4.027em; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 0px;"></span></span></span></span><span class="mo" id="MathJax-Span-13" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">,</span><span class="mo" id="MathJax-Span-14" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.183em; position: static; transition: none 0s ease 0s; vertical-align: 0px;">.</span><span class="mo" id="MathJax-Span-15" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.183em; position: static; transition: none 0s ease 0s; vertical-align: 0px;">.</span><span class="mo" id="MathJax-Span-16" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.183em; position: static; transition: none 0s ease 0s; vertical-align: 0px;">.</span><span class="mo" id="MathJax-Span-17" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.183em; position: static; transition: none 0s ease 0s; vertical-align: 0px;">,</span><span class="msubsup" id="MathJax-Span-18" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.183em; position: static; transition: none 0s ease 0s; vertical-align: 0px;"><span style="border: 0px; box-sizing: border-box; display: inline-block; height: 0px; line-height: normal; margin: 0px; padding: 0px; position: relative; transition: none 0s ease 0s; vertical-align: 0px; width: 0.784em;"><span style="border: 0px; box-sizing: border-box; clip: rect(3.186em, 1000.3em, 4.207em, -999.997em); left: 0em; line-height: normal; margin: 0px; padding: 0px; position: absolute; top: -4.021em; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-19" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">i</span><span style="border: 0px; box-sizing: border-box; display: inline-block; height: 4.027em; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 0px;"></span></span><span style="border: 0px; box-sizing: border-box; left: 0.363em; line-height: normal; margin: 0px; padding: 0px; position: absolute; top: -3.901em; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-20" style="border: 0px; box-sizing: border-box; display: inline; font-size: 11.7715px; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">k</span><span style="border: 0px; box-sizing: border-box; display: inline-block; height: 4.027em; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 0px;"></span></span></span></span><span class="mo" id="MathJax-Span-21" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">}</span></span><span style="border: 0px; box-sizing: border-box; display: inline-block; height: 2.285em; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 0px;"></span></span></span><span face=""Source Sans Pro", Calibri, Candara, Arial, sans-serif" style="background-color: white; border-bottom-style: initial; border-color: initial; border-image: initial; border-left-style: solid; border-right-style: initial; border-top-style: initial; border-width: 0px; box-sizing: border-box; color: #333333; display: inline-block; font-size: 15px; height: 1.27em; line-height: normal; margin: 0px; overflow: hidden; padding: 0px; position: static; text-align: center; transition: none 0s ease 0s; vertical-align: -0.33em; white-space: nowrap; width: 0px;"></span></div><div><span style="font-size: xx-small;"><br /></span></div><div>Dalam kasus kita, ini mirip seperti :</div></div><div><br /></div><div><span face=""Source Sans Pro", Calibri, Candara, Arial, sans-serif" style="background-color: white; border: 0px; box-sizing: border-box; color: #333333; display: inline-block; font-size: 16.65px; height: 0px; line-height: normal; margin: 0px; padding: 0px; position: relative; text-align: center; transition: none 0s ease 0s; vertical-align: 0px; white-space: nowrap; width: 24.508em;"><span style="border: 0px; box-sizing: border-box; clip: rect(1.384em, 1024.45em, 2.706em, -999.997em); left: 0em; line-height: normal; margin: 0px; padding: 0px; position: absolute; top: -2.279em; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mrow" id="MathJax-Span-23" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-24" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">I<span style="border: 0px; box-sizing: border-box; display: inline-block; height: 1px; line-height: normal; margin: 0px; overflow: hidden; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 0.063em;"></span></span><span class="mo" id="MathJax-Span-25" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.303em; position: static; transition: none 0s ease 0s; vertical-align: 0px;">=</span><span class="mo" id="MathJax-Span-26" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.303em; position: static; transition: none 0s ease 0s; vertical-align: 0px;">{</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-27" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">T<span style="border: 0px; box-sizing: border-box; display: inline-block; height: 1px; line-height: normal; margin: 0px; overflow: hidden; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 0.123em;"></span></span><span class="mtext" id="MathJax-Span-28" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">-</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-29" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">s</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-30" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">h</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-31" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">i</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-32" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">r</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-33" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">t</span><span class="mo" id="MathJax-Span-34" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">,</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-35" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.183em; position: static; transition: none 0s ease 0s; vertical-align: 0px;">T<span style="border: 0px; box-sizing: border-box; display: inline-block; height: 1px; line-height: normal; margin: 0px; overflow: hidden; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 0.123em;"></span></span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-36" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">r</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-37" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">o</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-38" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">u</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-39" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">s</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-40" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">e</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-41" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">r</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-42" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">s</span><span class="mo" id="MathJax-Span-43" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">,</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-44" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.183em; position: static; transition: none 0s ease 0s; vertical-align: 0px;">B</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-45" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">e</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-46" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">l</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-47" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">t</span><span class="mo" id="MathJax-Span-48" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">,</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-49" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.183em; position: static; transition: none 0s ease 0s; vertical-align: 0px;">J<span style="border: 0px; box-sizing: border-box; display: inline-block; height: 1px; line-height: normal; margin: 0px; overflow: hidden; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 0.063em;"></span></span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-50" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">a</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-51" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">c</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-52" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">k</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-53" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">e</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-54" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">t</span><span class="mo" id="MathJax-Span-55" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">,</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-56" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.183em; position: static; transition: none 0s ease 0s; vertical-align: 0px;">G</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-57" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">l</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-58" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">o</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-59" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">v</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-60" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">e</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-61" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">s</span><span class="mo" id="MathJax-Span-62" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">,</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-63" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.183em; position: static; transition: none 0s ease 0s; vertical-align: 0px;">S<span style="border: 0px; box-sizing: border-box; display: inline-block; height: 1px; line-height: normal; margin: 0px; overflow: hidden; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 0.063em;"></span></span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-64" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">n</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-65" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">e</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-66" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">a</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-67" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">k</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-68" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">e</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-69" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">r</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-70" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">s</span><span class="mo" id="MathJax-Span-71" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">}</span></span><span style="border: 0px; box-sizing: border-box; display: inline-block; height: 2.285em; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 0px;"></span></span></span><span face=""Source Sans Pro", Calibri, Candara, Arial, sans-serif" style="background-color: white; border-bottom-style: initial; border-color: initial; border-image: initial; border-left-style: solid; border-right-style: initial; border-top-style: initial; border-width: 0px; box-sizing: border-box; color: #333333; display: inline-block; font-size: 15px; height: 1.27em; line-height: normal; margin: 0px; overflow: hidden; padding: 0px; position: static; text-align: center; transition: none 0s ease 0s; vertical-align: -0.33em; white-space: nowrap; width: 0px;"></span></div><div><br /></div><div><div><b>Transaction</b> diwakili oleh ekspresi berikut:</div><div><br /></div><div><span face=""Source Sans Pro", Calibri, Candara, Arial, sans-serif" style="background-color: white; border: 0px; box-sizing: border-box; color: #333333; display: inline-block; font-size: 16.65px; height: 0px; line-height: normal; margin: 0px; padding: 0px; position: relative; text-align: center; transition: none 0s ease 0s; vertical-align: 0px; white-space: nowrap; width: 8.291em;"><span style="border: 0px; box-sizing: border-box; clip: rect(1.384em, 1008.23em, 2.706em, -999.997em); left: 0em; line-height: normal; margin: 0px; padding: 0px; position: absolute; top: -2.279em; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mrow" id="MathJax-Span-73" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-74" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">T<span style="border: 0px; box-sizing: border-box; display: inline-block; height: 1px; line-height: normal; margin: 0px; overflow: hidden; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 0.123em;"></span></span><span class="mo" id="MathJax-Span-75" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.303em; position: static; transition: none 0s ease 0s; vertical-align: 0px;">=</span><span class="mo" id="MathJax-Span-76" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.303em; position: static; transition: none 0s ease 0s; vertical-align: 0px;">{</span><span class="msubsup" id="MathJax-Span-77" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;"><span style="border: 0px; box-sizing: border-box; display: inline-block; height: 0px; line-height: normal; margin: 0px; padding: 0px; position: relative; transition: none 0s ease 0s; vertical-align: 0px; width: 0.784em;"><span style="border: 0px; box-sizing: border-box; clip: rect(3.246em, 1000.3em, 4.207em, -999.997em); left: 0em; line-height: normal; margin: 0px; padding: 0px; position: absolute; top: -4.021em; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-78" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">t</span><span style="border: 0px; box-sizing: border-box; display: inline-block; height: 4.027em; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 0px;"></span></span><span style="border: 0px; box-sizing: border-box; left: 0.363em; line-height: normal; margin: 0px; padding: 0px; position: absolute; top: -3.901em; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mn" id="MathJax-Span-79" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; font-size: 11.7715px; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">1</span><span style="border: 0px; box-sizing: border-box; display: inline-block; height: 4.027em; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 0px;"></span></span></span></span><span class="mo" id="MathJax-Span-80" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">,</span><span class="msubsup" id="MathJax-Span-81" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.183em; position: static; transition: none 0s ease 0s; vertical-align: 0px;"><span style="border: 0px; box-sizing: border-box; display: inline-block; height: 0px; line-height: normal; margin: 0px; padding: 0px; position: relative; transition: none 0s ease 0s; vertical-align: 0px; width: 0.784em;"><span style="border: 0px; box-sizing: border-box; clip: rect(3.246em, 1000.3em, 4.207em, -999.997em); left: 0em; line-height: normal; margin: 0px; padding: 0px; position: absolute; top: -4.021em; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-82" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">t</span><span style="border: 0px; box-sizing: border-box; display: inline-block; height: 4.027em; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 0px;"></span></span><span style="border: 0px; box-sizing: border-box; left: 0.363em; line-height: normal; margin: 0px; padding: 0px; position: absolute; top: -3.901em; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mn" id="MathJax-Span-83" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; font-size: 11.7715px; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">2</span><span style="border: 0px; box-sizing: border-box; display: inline-block; height: 4.027em; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 0px;"></span></span></span></span><span class="mo" id="MathJax-Span-84" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">,</span><span class="mo" id="MathJax-Span-85" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.183em; position: static; transition: none 0s ease 0s; vertical-align: 0px;">.</span><span class="mo" id="MathJax-Span-86" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.183em; position: static; transition: none 0s ease 0s; vertical-align: 0px;">.</span><span class="mo" id="MathJax-Span-87" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.183em; position: static; transition: none 0s ease 0s; vertical-align: 0px;">.</span><span class="mo" id="MathJax-Span-88" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.183em; position: static; transition: none 0s ease 0s; vertical-align: 0px;">,</span><span class="msubsup" id="MathJax-Span-89" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.183em; position: static; transition: none 0s ease 0s; vertical-align: 0px;"><span style="border: 0px; box-sizing: border-box; display: inline-block; height: 0px; line-height: normal; margin: 0px; padding: 0px; position: relative; transition: none 0s ease 0s; vertical-align: 0px; width: 0.844em;"><span style="border: 0px; box-sizing: border-box; clip: rect(3.246em, 1000.3em, 4.207em, -999.997em); left: 0em; line-height: normal; margin: 0px; padding: 0px; position: absolute; top: -4.021em; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-90" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">t</span><span style="border: 0px; box-sizing: border-box; display: inline-block; height: 4.027em; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 0px;"></span></span><span style="border: 0px; box-sizing: border-box; left: 0.363em; line-height: normal; margin: 0px; padding: 0px; position: absolute; top: -3.901em; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-91" style="border: 0px; box-sizing: border-box; display: inline; font-size: 11.7715px; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">n</span><span style="border: 0px; box-sizing: border-box; display: inline-block; height: 4.027em; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 0px;"></span></span></span></span><span class="mo" id="MathJax-Span-92" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">}</span></span><span style="border: 0px; box-sizing: border-box; display: inline-block; height: 2.285em; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 0px;"></span></span></span><span face=""Source Sans Pro", Calibri, Candara, Arial, sans-serif" style="background-color: white; border-bottom-style: initial; border-color: initial; border-image: initial; border-left-style: solid; border-right-style: initial; border-top-style: initial; border-width: 0px; box-sizing: border-box; color: #333333; display: inline-block; font-size: 15px; height: 1.27em; line-height: normal; margin: 0px; overflow: hidden; padding: 0px; position: static; text-align: center; transition: none 0s ease 0s; vertical-align: -0.33em; white-space: nowrap; width: 0px;"></span></div><div><br /></div><div>Contohnya :</div><div><br /></div><div><span face=""Source Sans Pro", Calibri, Candara, Arial, sans-serif" style="background-color: white; border: 0px; box-sizing: border-box; color: #333333; display: inline-block; font-size: 16.65px; height: 0px; line-height: normal; margin: 0px; padding: 0px; position: relative; text-align: center; transition: none 0s ease 0s; vertical-align: 0px; white-space: nowrap; width: 13.276em;"><span style="border: 0px; box-sizing: border-box; clip: rect(1.384em, 1013.22em, 2.706em, -999.997em); left: 0em; line-height: normal; margin: 0px; padding: 0px; position: absolute; top: -2.279em; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mrow" id="MathJax-Span-94" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;"><span class="msubsup" id="MathJax-Span-95" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;"><span style="border: 0px; box-sizing: border-box; display: inline-block; height: 0px; line-height: normal; margin: 0px; padding: 0px; position: relative; transition: none 0s ease 0s; vertical-align: 0px; width: 0.784em;"><span style="border: 0px; box-sizing: border-box; clip: rect(3.246em, 1000.3em, 4.207em, -999.997em); left: 0em; line-height: normal; margin: 0px; padding: 0px; position: absolute; top: -4.021em; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-96" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">t</span><span style="border: 0px; box-sizing: border-box; display: inline-block; height: 4.027em; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 0px;"></span></span><span style="border: 0px; box-sizing: border-box; left: 0.363em; line-height: normal; margin: 0px; padding: 0px; position: absolute; top: -3.901em; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mn" id="MathJax-Span-97" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; font-size: 11.7715px; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">1</span><span style="border: 0px; box-sizing: border-box; display: inline-block; height: 4.027em; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 0px;"></span></span></span></span><span class="mo" id="MathJax-Span-98" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.303em; position: static; transition: none 0s ease 0s; vertical-align: 0px;">=</span><span class="mo" id="MathJax-Span-99" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.303em; position: static; transition: none 0s ease 0s; vertical-align: 0px;">{</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-100" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">T<span style="border: 0px; box-sizing: border-box; display: inline-block; height: 1px; line-height: normal; margin: 0px; overflow: hidden; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 0.123em;"></span></span><span class="mtext" id="MathJax-Span-101" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">-</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-102" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">s</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-103" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">h</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-104" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">i</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-105" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">r</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-106" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">t</span><span class="mo" id="MathJax-Span-107" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">,</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-108" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.183em; position: static; transition: none 0s ease 0s; vertical-align: 0px;">T<span style="border: 0px; box-sizing: border-box; display: inline-block; height: 1px; line-height: normal; margin: 0px; overflow: hidden; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 0.123em;"></span></span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-109" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">r</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-110" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">o</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-111" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">u</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-112" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">s</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-113" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">e</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-114" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">r</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-115" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">s</span><span class="mo" id="MathJax-Span-116" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">,</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-117" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.183em; position: static; transition: none 0s ease 0s; vertical-align: 0px;">B</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-118" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">e</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-119" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">l</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-120" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">t</span><span class="mo" id="MathJax-Span-121" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">}</span></span><span style="border: 0px; box-sizing: border-box; display: inline-block; height: 2.285em; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 0px;"></span></span></span><span face=""Source Sans Pro", Calibri, Candara, Arial, sans-serif" style="background-color: white; border-bottom-style: initial; border-color: initial; border-image: initial; border-left-style: solid; border-right-style: initial; border-top-style: initial; border-width: 0px; box-sizing: border-box; color: #333333; display: inline-block; font-size: 15px; height: 1.27em; line-height: normal; margin: 0px; overflow: hidden; padding: 0px; position: static; text-align: center; transition: none 0s ease 0s; vertical-align: -0.33em; white-space: nowrap; width: 0px;"></span></div><div><br /></div><div>Kemudian, <b>association rule </b>didefinisikan sebagai implikasi dari bentuk:</div><div><br /></div><div><center style="background-color: white; box-sizing: border-box; color: #333333; font-family: "Source Sans Pro", Calibri, Candara, Arial, sans-serif; font-size: 15px;"><span class="math inline" style="box-sizing: border-box;"><span class="MathJax" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>X</mi><mo stretchy="false">&#x21D2;</mo><mi>Y</mi></math>" id="MathJax-Element-5-Frame" role="presentation" style="border: 0px; box-sizing: border-box; direction: ltr; display: inline; float: none; line-height: normal; margin: 0px; max-height: none; max-width: none; min-height: 0px; min-width: 0px; overflow-wrap: normal; padding: 0px; position: relative; text-align: left; white-space: nowrap; word-spacing: normal;" tabindex="0"><nobr aria-hidden="true" style="border: 0px; box-sizing: border-box; line-height: normal; margin: 0px; max-height: none; max-width: none; min-height: 0px; min-width: 0px; padding: 0px; transition: none 0s ease 0s; vertical-align: 0px;"><span class="math" id="MathJax-Span-122" style="border: 0px; box-sizing: border-box; display: inline-block; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 3.547em;"><span style="border: 0px; box-sizing: border-box; display: inline-block; font-size: 16.65px; height: 0px; line-height: normal; margin: 0px; padding: 0px; position: relative; transition: none 0s ease 0s; vertical-align: 0px; width: 3.186em;"><span style="border: 0px; box-sizing: border-box; clip: rect(1.444em, 1003.19em, 2.465em, -999.997em); left: 0em; line-height: normal; margin: 0px; padding: 0px; position: absolute; top: -2.279em; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mrow" id="MathJax-Span-123" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mi" id="MathJax-Span-124" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Math-italic; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">X<span style="border: 0px; box-sizing: border-box; display: inline-block; height: 1px; line-height: normal; margin: 0px; overflow: hidden; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 0.003em;"></span></span><span class="mo" id="MathJax-Span-125" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.303em; position: static; transition: none 0s ease 0s; vertical-align: 0px;">⇒</span><span class="mi" id="MathJax-Span-126" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Math-italic; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.303em; position: static; transition: none 0s ease 0s; vertical-align: 0px;">Y<span style="border: 0px; box-sizing: border-box; display: inline-block; height: 1px; line-height: normal; margin: 0px; overflow: hidden; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 0.183em;"></span></span></span><span style="border: 0px; box-sizing: border-box; display: inline-block; height: 2.285em; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 0px;"></span></span></span><span style="border-bottom-style: initial; border-color: initial; border-image: initial; border-left-style: solid; border-right-style: initial; border-top-style: initial; border-width: 0px; box-sizing: border-box; display: inline-block; height: 0.937em; line-height: normal; margin: 0px; overflow: hidden; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: -0.063em; width: 0px;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation" style="border: 0px; box-sizing: border-box; clip: rect(1px, 1px, 1px, 1px); display: inline; height: 1px; left: 0px; line-height: normal; margin: 0px; overflow: hidden; padding: 0px; position: static; top: 0px; transition: none 0s ease 0s; user-select: none; vertical-align: 0px; width: 1px;"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>X</mi><mo stretchy="false">⇒</mo><mi>Y</mi></math></span></span></span>, where <span class="math inline" style="box-sizing: border-box;"><span class="MathJax" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>X</mi><mo>&#x2282;</mo><mi>I</mi></math>" id="MathJax-Element-6-Frame" role="presentation" style="border: 0px; box-sizing: border-box; direction: ltr; display: inline; float: none; line-height: normal; margin: 0px; max-height: none; max-width: none; min-height: 0px; min-width: 0px; overflow-wrap: normal; padding: 0px; position: relative; text-align: left; white-space: nowrap; word-spacing: normal;" tabindex="0"><nobr aria-hidden="true" style="border: 0px; box-sizing: border-box; line-height: normal; margin: 0px; max-height: none; max-width: none; min-height: 0px; min-width: 0px; padding: 0px; transition: none 0s ease 0s; vertical-align: 0px;"><span class="math" id="MathJax-Span-127" style="border: 0px; box-sizing: border-box; display: inline-block; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 3.006em;"><span style="border: 0px; box-sizing: border-box; display: inline-block; font-size: 16.65px; height: 0px; line-height: normal; margin: 0px; padding: 0px; position: relative; transition: none 0s ease 0s; vertical-align: 0px; width: 2.706em;"><span style="border: 0px; box-sizing: border-box; clip: rect(1.444em, 1002.71em, 2.526em, -999.997em); left: 0em; line-height: normal; margin: 0px; padding: 0px; position: absolute; top: -2.279em; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mrow" id="MathJax-Span-128" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mi" id="MathJax-Span-129" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Math-italic; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">X<span style="border: 0px; box-sizing: border-box; display: inline-block; height: 1px; line-height: normal; margin: 0px; overflow: hidden; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 0.003em;"></span></span><span class="mo" id="MathJax-Span-130" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.303em; position: static; transition: none 0s ease 0s; vertical-align: 0px;">⊂</span><span class="mi" id="MathJax-Span-131" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Math-italic; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.303em; position: static; transition: none 0s ease 0s; vertical-align: 0px;">I<span style="border: 0px; box-sizing: border-box; display: inline-block; height: 1px; line-height: normal; margin: 0px; overflow: hidden; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 0.063em;"></span></span></span><span style="border: 0px; box-sizing: border-box; display: inline-block; height: 2.285em; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 0px;"></span></span></span><span style="border-bottom-style: initial; border-color: initial; border-image: initial; border-left-style: solid; border-right-style: initial; border-top-style: initial; border-width: 0px; box-sizing: border-box; display: inline-block; height: 0.937em; line-height: normal; margin: 0px; overflow: hidden; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: -0.13em; width: 0px;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation" style="border: 0px; box-sizing: border-box; clip: rect(1px, 1px, 1px, 1px); display: inline; height: 1px; left: 0px; line-height: normal; margin: 0px; overflow: hidden; padding: 0px; position: static; top: 0px; transition: none 0s ease 0s; user-select: none; vertical-align: 0px; width: 1px;"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>X</mi><mo>⊂</mo><mi>I</mi></math></span></span></span>, <span class="math inline" style="box-sizing: border-box;"><span class="MathJax" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>Y</mi><mo>&#x2282;</mo><mi>I</mi></math>" id="MathJax-Element-7-Frame" role="presentation" style="border: 0px; box-sizing: border-box; direction: ltr; display: inline; float: none; line-height: normal; margin: 0px; max-height: none; max-width: none; min-height: 0px; min-width: 0px; overflow-wrap: normal; padding: 0px; position: relative; text-align: left; white-space: nowrap; word-spacing: normal;" tabindex="0"><nobr aria-hidden="true" style="border: 0px; box-sizing: border-box; line-height: normal; margin: 0px; max-height: none; max-width: none; min-height: 0px; min-width: 0px; padding: 0px; transition: none 0s ease 0s; vertical-align: 0px;"><span class="math" id="MathJax-Span-132" style="border: 0px; box-sizing: border-box; display: inline-block; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 2.946em;"><span style="border: 0px; box-sizing: border-box; display: inline-block; font-size: 16.65px; height: 0px; line-height: normal; margin: 0px; padding: 0px; position: relative; transition: none 0s ease 0s; vertical-align: 0px; width: 2.646em;"><span style="border: 0px; box-sizing: border-box; clip: rect(1.444em, 1002.65em, 2.526em, -999.997em); left: 0em; line-height: normal; margin: 0px; padding: 0px; position: absolute; top: -2.279em; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mrow" id="MathJax-Span-133" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mi" id="MathJax-Span-134" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Math-italic; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">Y<span style="border: 0px; box-sizing: border-box; display: inline-block; height: 1px; line-height: normal; margin: 0px; overflow: hidden; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 0.183em;"></span></span><span class="mo" id="MathJax-Span-135" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.303em; position: static; transition: none 0s ease 0s; vertical-align: 0px;">⊂</span><span class="mi" id="MathJax-Span-136" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Math-italic; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.303em; position: static; transition: none 0s ease 0s; vertical-align: 0px;">I<span style="border: 0px; box-sizing: border-box; display: inline-block; height: 1px; line-height: normal; margin: 0px; overflow: hidden; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 0.063em;"></span></span></span><span style="border: 0px; box-sizing: border-box; display: inline-block; height: 2.285em; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 0px;"></span></span></span><span style="border-bottom-style: initial; border-color: initial; border-image: initial; border-left-style: solid; border-right-style: initial; border-top-style: initial; border-width: 0px; box-sizing: border-box; display: inline-block; height: 0.937em; line-height: normal; margin: 0px; overflow: hidden; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: -0.13em; width: 0px;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation" style="border: 0px; box-sizing: border-box; clip: rect(1px, 1px, 1px, 1px); display: inline; height: 1px; left: 0px; line-height: normal; margin: 0px; overflow: hidden; padding: 0px; position: static; top: 0px; transition: none 0s ease 0s; user-select: none; vertical-align: 0px; width: 1px;"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>Y</mi><mo>⊂</mo><mi>I</mi></math></span></span></span> and <span class="math inline" style="box-sizing: border-box;"><span class="MathJax" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>X</mi><mo>&#x2229;</mo><mi>Y</mi><mo>=</mo><mn>0</mn></math>" id="MathJax-Element-8-Frame" role="presentation" style="border: 0px; box-sizing: border-box; direction: ltr; display: inline; float: none; line-height: normal; margin: 0px; max-height: none; max-width: none; min-height: 0px; min-width: 0px; overflow-wrap: normal; padding: 0px; position: relative; text-align: left; white-space: nowrap; word-spacing: normal;" tabindex="0"><nobr aria-hidden="true" style="border: 0px; box-sizing: border-box; line-height: normal; margin: 0px; max-height: none; max-width: none; min-height: 0px; min-width: 0px; padding: 0px; transition: none 0s ease 0s; vertical-align: 0px;"><span class="math" id="MathJax-Span-137" style="border: 0px; box-sizing: border-box; display: inline-block; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 5.168em;"><span style="border: 0px; box-sizing: border-box; display: inline-block; font-size: 16.65px; height: 0px; line-height: normal; margin: 0px; padding: 0px; position: relative; transition: none 0s ease 0s; vertical-align: 0px; width: 4.628em;"><span style="border: 0px; box-sizing: border-box; clip: rect(1.444em, 1004.57em, 2.465em, -999.997em); left: 0em; line-height: normal; margin: 0px; padding: 0px; position: absolute; top: -2.279em; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mrow" id="MathJax-Span-138" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mi" id="MathJax-Span-139" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Math-italic; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">X<span style="border: 0px; box-sizing: border-box; display: inline-block; height: 1px; line-height: normal; margin: 0px; overflow: hidden; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 0.003em;"></span></span><span class="mo" id="MathJax-Span-140" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.243em; position: static; transition: none 0s ease 0s; vertical-align: 0px;">∩</span><span class="mi" id="MathJax-Span-141" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Math-italic; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.243em; position: static; transition: none 0s ease 0s; vertical-align: 0px;">Y<span style="border: 0px; box-sizing: border-box; display: inline-block; height: 1px; line-height: normal; margin: 0px; overflow: hidden; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 0.183em;"></span></span><span class="mo" id="MathJax-Span-142" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.303em; position: static; transition: none 0s ease 0s; vertical-align: 0px;">=</span><span class="mn" id="MathJax-Span-143" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.303em; position: static; transition: none 0s ease 0s; vertical-align: 0px;">0</span></span><span style="border: 0px; box-sizing: border-box; display: inline-block; height: 2.285em; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 0px;"></span></span></span><span style="border-bottom-style: initial; border-color: initial; border-image: initial; border-left-style: solid; border-right-style: initial; border-top-style: initial; border-width: 0px; box-sizing: border-box; display: inline-block; height: 0.937em; line-height: normal; margin: 0px; overflow: hidden; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: -0.063em; width: 0px;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation" style="border: 0px; box-sizing: border-box; clip: rect(1px, 1px, 1px, 1px); display: inline; height: 1px; left: 0px; line-height: normal; margin: 0px; overflow: hidden; padding: 0px; position: static; top: 0px; transition: none 0s ease 0s; user-select: none; vertical-align: 0px; width: 1px;"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>X</mi><mo>∩</mo><mi>Y</mi><mo>=</mo><mn>0</mn></math></span></span></span></center></div></div><div><br /></div><div><div>Contohnya:</div><div><br /></div><div><span face=""Source Sans Pro", Calibri, Candara, Arial, sans-serif" style="background-color: white; border: 0px; box-sizing: border-box; color: #333333; display: inline-block; font-size: 16.65px; height: 0px; line-height: normal; margin: 0px; padding: 0px; position: relative; text-align: center; transition: none 0s ease 0s; vertical-align: 0px; white-space: nowrap; width: 13.276em;"><span style="border: 0px; box-sizing: border-box; clip: rect(1.384em, 1013.22em, 2.706em, -999.997em); left: 0em; line-height: normal; margin: 0px; padding: 0px; position: absolute; top: -2.279em; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mrow" id="MathJax-Span-145" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mo" id="MathJax-Span-146" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">{</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-147" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">T<span style="border: 0px; box-sizing: border-box; display: inline-block; height: 1px; line-height: normal; margin: 0px; overflow: hidden; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 0.123em;"></span></span><span class="mtext" id="MathJax-Span-148" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">-</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-149" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">s</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-150" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">h</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-151" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">i</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-152" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">r</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-153" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">t</span><span class="mo" id="MathJax-Span-154" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">,</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-155" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.183em; position: static; transition: none 0s ease 0s; vertical-align: 0px;">T<span style="border: 0px; box-sizing: border-box; display: inline-block; height: 1px; line-height: normal; margin: 0px; overflow: hidden; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 0.123em;"></span></span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-156" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">r</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-157" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">o</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-158" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">u</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-159" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">s</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-160" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">e</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-161" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">r</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-162" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">s</span><span class="mo" id="MathJax-Span-163" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">}</span><span class="mo" id="MathJax-Span-164" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.303em; position: static; transition: none 0s ease 0s; vertical-align: 0px;">⇒</span><span class="mo" id="MathJax-Span-165" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.303em; position: static; transition: none 0s ease 0s; vertical-align: 0px;">{</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-166" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">B</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-167" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">e</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-168" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">l</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-169" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">t</span><span class="mo" id="MathJax-Span-170" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">}</span></span><span style="border: 0px; box-sizing: border-box; display: inline-block; height: 2.285em; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 0px;"></span></span></span><span face=""Source Sans Pro", Calibri, Candara, Arial, sans-serif" style="background-color: white; border-bottom-style: initial; border-color: initial; border-image: initial; border-left-style: solid; border-right-style: initial; border-top-style: initial; border-width: 0px; box-sizing: border-box; color: #333333; display: inline-block; font-size: 15px; height: 1.27em; line-height: normal; margin: 0px; overflow: hidden; padding: 0px; position: static; text-align: center; transition: none 0s ease 0s; vertical-align: -0.33em; white-space: nowrap; width: 0px;"></span></div><div><br /></div><div>Pada bagian berikutnya kita akan mendefinisikan empat metrik untuk mengukur ketepatan rule.</div><div><br /></div><div><span style="font-size: medium;"><b>2.1 Support</b></span></div><div><br /></div><div>Support adalah indikasi seberapa sering kumpulan item muncul dalam kumpulan data.</div></div><div><br /></div><div><span face=""Source Sans Pro", Calibri, Candara, Arial, sans-serif" style="background-color: white; border: 0px; box-sizing: border-box; color: #333333; display: inline-block; font-size: 16.65px; height: 0px; line-height: normal; margin: 0px; padding: 0px; position: relative; text-align: center; transition: none 0s ease 0s; vertical-align: 0px; white-space: nowrap; width: 11.114em;"><span style="border: 0px; box-sizing: border-box; clip: rect(0.604em, 1011.11em, 3.186em, -999.997em); left: 0em; line-height: normal; margin: 0px; padding: 0px; position: absolute; top: -2.279em; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mrow" id="MathJax-Span-172" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-173" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">s</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-174" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">u</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-175" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">p</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-176" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">p</span><span class="mo" id="MathJax-Span-177" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">(</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-178" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">X<span style="border: 0px; box-sizing: border-box; display: inline-block; height: 1px; line-height: normal; margin: 0px; overflow: hidden; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 0.003em;"></span></span><span class="mo" id="MathJax-Span-179" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.303em; position: static; transition: none 0s ease 0s; vertical-align: 0px;">⇒</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-180" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.303em; position: static; transition: none 0s ease 0s; vertical-align: 0px;">Y<span style="border: 0px; box-sizing: border-box; display: inline-block; height: 1px; line-height: normal; margin: 0px; overflow: hidden; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 0.183em;"></span></span><span class="mo" id="MathJax-Span-181" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">)</span><span class="mo" id="MathJax-Span-182" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.303em; position: static; transition: none 0s ease 0s; vertical-align: 0px;">=</span><span class="mstyle" id="MathJax-Span-183" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.303em; position: static; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mrow" id="MathJax-Span-184" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mfrac" id="MathJax-Span-185" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;"><span style="border: 0px; box-sizing: border-box; display: inline-block; height: 0px; line-height: normal; margin: 0px 0.123em; padding: 0px; position: relative; transition: none 0s ease 0s; vertical-align: 0px; width: 3.426em;"><span style="border: 0px; box-sizing: border-box; clip: rect(3.126em, 1003.19em, 4.447em, -999.997em); left: 28.5208px; line-height: normal; margin: 0px 0px 0px -1.679em; padding: 0px; position: absolute; top: -4.742em; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mrow" id="MathJax-Span-186" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;"><span class="texatom" id="MathJax-Span-187" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mrow" id="MathJax-Span-188" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mo" id="MathJax-Span-189" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">|</span></span></span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-190" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">X<span style="border: 0px; box-sizing: border-box; display: inline-block; height: 1px; line-height: normal; margin: 0px; overflow: hidden; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 0.003em;"></span></span><span class="mo" id="MathJax-Span-191" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.243em; position: static; transition: none 0s ease 0s; vertical-align: 0px;">∪</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-192" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.243em; position: static; transition: none 0s ease 0s; vertical-align: 0px;">Y<span style="border: 0px; box-sizing: border-box; display: inline-block; height: 1px; line-height: normal; margin: 0px; overflow: hidden; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 0.183em;"></span></span><span class="texatom" id="MathJax-Span-193" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mrow" id="MathJax-Span-194" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mo" id="MathJax-Span-195" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">|</span></span></span></span><span style="border: 0px; box-sizing: border-box; display: inline-block; height: 4.027em; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 0px;"></span></span><span style="border: 0px; box-sizing: border-box; clip: rect(3.426em, 1000.6em, 4.207em, -999.997em); left: 28.5208px; line-height: normal; margin: 0px 0px 0px -0.297em; padding: 0px; position: absolute; top: -3.36em; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-196" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">n</span><span style="border: 0px; box-sizing: border-box; display: inline-block; height: 4.027em; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 0px;"></span></span><span style="border: 0px; box-sizing: border-box; clip: rect(0.844em, 1003.43em, 1.264em, -999.997em); left: 0em; line-height: normal; margin: 0px; padding: 0px; position: absolute; top: -1.318em; transition: none 0s ease 0s; vertical-align: 0px;"><span style="border-bottom-style: initial; border-color: initial; border-image: initial; border-left-style: initial; border-right-style: initial; border-top-style: solid; border-width: 1.3px 0px 0px; box-sizing: border-box; display: inline-block; height: 0px; line-height: normal; margin: 0px; overflow: hidden; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0em; width: 3.426em;"></span><span style="border: 0px; box-sizing: border-box; display: inline-block; height: 1.084em; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 0px;"></span></span></span></span></span></span></span><span style="border: 0px; box-sizing: border-box; display: inline-block; height: 2.285em; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 0px;"></span></span></span><span face=""Source Sans Pro", Calibri, Candara, Arial, sans-serif" style="background-color: white; border-bottom-style: initial; border-color: initial; border-image: initial; border-left-style: solid; border-right-style: initial; border-top-style: initial; border-width: 0px; box-sizing: border-box; color: #333333; display: inline-block; font-size: 15px; height: 2.537em; line-height: normal; margin: 0px; overflow: hidden; padding: 0px; position: static; text-align: center; transition: none 0s ease 0s; vertical-align: -0.863em; white-space: nowrap; width: 0px;"></span></div><div><br /></div><div>Dengan kata lain, ini adalah jumlah transaksi dengan X dan Y dibagi dengan jumlah total transaksi. rule tidak berguna untuk nilai support rendah. Mari kita lihat contoh yang berbeda menggunakan transaksi toko pakaian dari tabel sebelumnya.</div><div><br /></div><div><span face=""Source Sans Pro", Calibri, Candara, Arial, sans-serif" style="background-color: white; border: 0px; box-sizing: border-box; color: #333333; display: inline-block; font-size: 16.65px; height: 0px; line-height: normal; margin: 0px; padding: 0px; position: relative; transition: none 0s ease 0s; vertical-align: 0px; white-space: nowrap; width: 17.24em;"><span style="border: 0px; box-sizing: border-box; clip: rect(0.784em, 1017.18em, 3.186em, -999.997em); left: 0em; line-height: normal; margin: 0px; padding: 0px; position: absolute; top: -2.279em; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mrow" id="MathJax-Span-204" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-205" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">s</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-206" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">u</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-207" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">p</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-208" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">p</span><span class="mo" id="MathJax-Span-209" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">(</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-210" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">T<span style="border: 0px; box-sizing: border-box; display: inline-block; height: 1px; line-height: normal; margin: 0px; overflow: hidden; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 0.123em;"></span></span><span class="mtext" id="MathJax-Span-211" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">-</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-212" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">s</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-213" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">h</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-214" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">i</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-215" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">r</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-216" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">t</span><span class="mo" id="MathJax-Span-217" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.303em; position: static; transition: none 0s ease 0s; vertical-align: 0px;">⇒</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-218" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.303em; position: static; transition: none 0s ease 0s; vertical-align: 0px;">T<span style="border: 0px; box-sizing: border-box; display: inline-block; height: 1px; line-height: normal; margin: 0px; overflow: hidden; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 0.123em;"></span></span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-219" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">r</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-220" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">o</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-221" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">u</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-222" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">s</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-223" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">e</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-224" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">r</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-225" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">s</span><span class="mo" id="MathJax-Span-226" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">)</span><span class="mo" id="MathJax-Span-227" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.303em; position: static; transition: none 0s ease 0s; vertical-align: 0px;">=</span><span class="mstyle" id="MathJax-Span-228" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.303em; position: static; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mrow" id="MathJax-Span-229" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mfrac" id="MathJax-Span-230" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;"><span style="border: 0px; box-sizing: border-box; display: inline-block; height: 0px; line-height: normal; margin: 0px 0.123em; padding: 0px; position: relative; transition: none 0s ease 0s; vertical-align: 0px; width: 0.604em;"><span style="border: 0px; box-sizing: border-box; clip: rect(3.186em, 1000.48em, 4.207em, -999.997em); left: 5.02083px; line-height: normal; margin: 0px 0px 0px -0.237em; padding: 0px; position: absolute; top: -4.682em; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mn" id="MathJax-Span-231" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">3</span><span style="border: 0px; box-sizing: border-box; display: inline-block; height: 4.027em; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 0px;"></span></span><span style="border: 0px; box-sizing: border-box; clip: rect(3.186em, 1000.48em, 4.207em, -999.997em); left: 5.02083px; line-height: normal; margin: 0px 0px 0px -0.237em; padding: 0px; position: absolute; top: -3.36em; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mn" id="MathJax-Span-232" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">7</span><span style="border: 0px; box-sizing: border-box; display: inline-block; height: 4.027em; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 0px;"></span></span><span style="border: 0px; box-sizing: border-box; clip: rect(0.844em, 1000.6em, 1.264em, -999.997em); left: 0em; line-height: normal; margin: 0px; padding: 0px; position: absolute; top: -1.318em; transition: none 0s ease 0s; vertical-align: 0px;"><span style="border-bottom-style: initial; border-color: initial; border-image: initial; border-left-style: initial; border-right-style: initial; border-top-style: solid; border-width: 1.3px 0px 0px; box-sizing: border-box; display: inline-block; height: 0px; line-height: normal; margin: 0px; overflow: hidden; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0em; width: 0.604em;"></span><span style="border: 0px; box-sizing: border-box; display: inline-block; height: 1.084em; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 0px;"></span></span></span></span></span></span><span class="mo" id="MathJax-Span-233" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.303em; position: static; transition: none 0s ease 0s; vertical-align: 0px;">=</span><span class="mn" id="MathJax-Span-234" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.303em; position: static; transition: none 0s ease 0s; vertical-align: 0px;">43</span><span class="mi" id="MathJax-Span-235" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">%</span></span><span style="border: 0px; box-sizing: border-box; display: inline-block; height: 2.285em; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 0px;"></span></span></span><span face=""Source Sans Pro", Calibri, Candara, Arial, sans-serif" style="background-color: white; border-bottom-style: initial; border-color: initial; border-image: initial; border-left-style: solid; border-right-style: initial; border-top-style: initial; border-width: 0px; box-sizing: border-box; color: #333333; display: inline-block; font-size: 15px; height: 2.403em; line-height: normal; margin: 0px; overflow: hidden; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: -0.863em; white-space: nowrap; width: 0px;"></span></div><div><span face=""Source Sans Pro", Calibri, Candara, Arial, sans-serif" style="background-color: white; border: 0px; box-sizing: border-box; color: #333333; display: inline-block; font-size: 16.65px; height: 0px; line-height: normal; margin: 0px; padding: 0px; position: relative; transition: none 0s ease 0s; vertical-align: 0px; white-space: nowrap; width: 15.859em;"><span style="border: 0px; box-sizing: border-box; clip: rect(0.724em, 1015.8em, 3.186em, -999.997em); left: 0em; line-height: normal; margin: 0px; padding: 0px; position: absolute; top: -2.279em; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mrow" id="MathJax-Span-237" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-238" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">s</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-239" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">u</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-240" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">p</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-241" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">p</span><span class="mo" id="MathJax-Span-242" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">(</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-243" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">T<span style="border: 0px; box-sizing: border-box; display: inline-block; height: 1px; line-height: normal; margin: 0px; overflow: hidden; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 0.123em;"></span></span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-244" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">r</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-245" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">o</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-246" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">u</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-247" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">s</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-248" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">e</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-249" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">r</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-250" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">s</span><span class="mo" id="MathJax-Span-251" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.303em; position: static; transition: none 0s ease 0s; vertical-align: 0px;">⇒</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-252" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.303em; position: static; transition: none 0s ease 0s; vertical-align: 0px;">B</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-253" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">e</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-254" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">l</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-255" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">t</span><span class="mo" id="MathJax-Span-256" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">)</span><span class="mo" id="MathJax-Span-257" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.303em; position: static; transition: none 0s ease 0s; vertical-align: 0px;">=</span><span class="mstyle" id="MathJax-Span-258" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.303em; position: static; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mrow" id="MathJax-Span-259" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mfrac" id="MathJax-Span-260" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;"><span style="border: 0px; box-sizing: border-box; display: inline-block; height: 0px; line-height: normal; margin: 0px 0.123em; padding: 0px; position: relative; transition: none 0s ease 0s; vertical-align: 0px; width: 0.604em;"><span style="border: 0px; box-sizing: border-box; clip: rect(3.186em, 1000.48em, 4.207em, -999.997em); left: 5.02083px; line-height: normal; margin: 0px 0px 0px -0.237em; padding: 0px; position: absolute; top: -4.682em; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mn" id="MathJax-Span-261" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">4</span><span style="border: 0px; box-sizing: border-box; display: inline-block; height: 4.027em; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 0px;"></span></span><span style="border: 0px; box-sizing: border-box; clip: rect(3.186em, 1000.48em, 4.207em, -999.997em); left: 5.02083px; line-height: normal; margin: 0px 0px 0px -0.237em; padding: 0px; position: absolute; top: -3.36em; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mn" id="MathJax-Span-262" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">7</span><span style="border: 0px; box-sizing: border-box; display: inline-block; height: 4.027em; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 0px;"></span></span><span style="border: 0px; box-sizing: border-box; clip: rect(0.844em, 1000.6em, 1.264em, -999.997em); left: 0em; line-height: normal; margin: 0px; padding: 0px; position: absolute; top: -1.318em; transition: none 0s ease 0s; vertical-align: 0px;"><span style="border-bottom-style: initial; border-color: initial; border-image: initial; border-left-style: initial; border-right-style: initial; border-top-style: solid; border-width: 1.3px 0px 0px; box-sizing: border-box; display: inline-block; height: 0px; line-height: normal; margin: 0px; overflow: hidden; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0em; width: 0.604em;"></span><span style="border: 0px; box-sizing: border-box; display: inline-block; height: 1.084em; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 0px;"></span></span></span></span></span></span><span class="mo" id="MathJax-Span-263" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.303em; position: static; transition: none 0s ease 0s; vertical-align: 0px;">=</span><span class="mn" id="MathJax-Span-264" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.303em; position: static; transition: none 0s ease 0s; vertical-align: 0px;">57</span><span class="mi" id="MathJax-Span-265" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">%</span></span><span style="border: 0px; box-sizing: border-box; display: inline-block; height: 2.285em; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 0px;"></span></span></span><span face=""Source Sans Pro", Calibri, Candara, Arial, sans-serif" style="background-color: white; border-bottom-style: initial; border-color: initial; border-image: initial; border-left-style: solid; border-right-style: initial; border-top-style: initial; border-width: 0px; box-sizing: border-box; color: #333333; display: inline-block; font-size: 15px; height: 2.403em; line-height: normal; margin: 0px; overflow: hidden; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: -0.863em; white-space: nowrap; width: 0px;"></span></div><div><div><span face=""Source Sans Pro", Calibri, Candara, Arial, sans-serif" style="background-color: white; border: 0px; box-sizing: border-box; color: #333333; display: inline-block; font-size: 16.65px; height: 0px; line-height: normal; margin: 0px; padding: 0px; position: relative; transition: none 0s ease 0s; vertical-align: 0px; white-space: nowrap; width: 15.018em;"><span style="border: 0px; box-sizing: border-box; clip: rect(0.784em, 1014.96em, 3.186em, -999.997em); left: 0em; line-height: normal; margin: 0px; padding: 0px; position: absolute; top: -2.279em; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mrow" id="MathJax-Span-267" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-268" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">s</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-269" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">u</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-270" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">p</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-271" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">p</span><span class="mo" id="MathJax-Span-272" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">(</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-273" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">T<span style="border: 0px; box-sizing: border-box; display: inline-block; height: 1px; line-height: normal; margin: 0px; overflow: hidden; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 0.123em;"></span></span><span class="mtext" id="MathJax-Span-274" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">-</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-275" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">s</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-276" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">h</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-277" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">i</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-278" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">r</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-279" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">t</span><span class="mo" id="MathJax-Span-280" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.303em; position: static; transition: none 0s ease 0s; vertical-align: 0px;">⇒</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-281" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.303em; position: static; transition: none 0s ease 0s; vertical-align: 0px;">B</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-282" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">e</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-283" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">l</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-284" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">t</span><span class="mo" id="MathJax-Span-285" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">)</span><span class="mo" id="MathJax-Span-286" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.303em; position: static; transition: none 0s ease 0s; vertical-align: 0px;">=</span><span class="mstyle" id="MathJax-Span-287" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.303em; position: static; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mrow" id="MathJax-Span-288" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mfrac" id="MathJax-Span-289" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;"><span style="border: 0px; box-sizing: border-box; display: inline-block; height: 0px; line-height: normal; margin: 0px 0.123em; padding: 0px; position: relative; transition: none 0s ease 0s; vertical-align: 0px; width: 0.604em;"><span style="border: 0px; box-sizing: border-box; clip: rect(3.186em, 1000.42em, 4.207em, -999.997em); left: 5.02083px; line-height: normal; margin: 0px 0px 0px -0.237em; padding: 0px; position: absolute; top: -4.682em; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mn" id="MathJax-Span-290" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">2</span><span style="border: 0px; box-sizing: border-box; display: inline-block; height: 4.027em; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 0px;"></span></span><span style="border: 0px; box-sizing: border-box; clip: rect(3.186em, 1000.48em, 4.207em, -999.997em); left: 5.02083px; line-height: normal; margin: 0px 0px 0px -0.237em; padding: 0px; position: absolute; top: -3.36em; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mn" id="MathJax-Span-291" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">7</span><span style="border: 0px; box-sizing: border-box; display: inline-block; height: 4.027em; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 0px;"></span></span><span style="border: 0px; box-sizing: border-box; clip: rect(0.844em, 1000.6em, 1.264em, -999.997em); left: 0em; line-height: normal; margin: 0px; padding: 0px; position: absolute; top: -1.318em; transition: none 0s ease 0s; vertical-align: 0px;"><span style="border-bottom-style: initial; border-color: initial; border-image: initial; border-left-style: initial; border-right-style: initial; border-top-style: solid; border-width: 1.3px 0px 0px; box-sizing: border-box; display: inline-block; height: 0px; line-height: normal; margin: 0px; overflow: hidden; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0em; width: 0.604em;"></span><span style="border: 0px; box-sizing: border-box; display: inline-block; height: 1.084em; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 0px;"></span></span></span></span></span></span><span class="mo" id="MathJax-Span-292" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.303em; position: static; transition: none 0s ease 0s; vertical-align: 0px;">=</span><span class="mn" id="MathJax-Span-293" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.303em; position: static; transition: none 0s ease 0s; vertical-align: 0px;">28</span><span class="mi" id="MathJax-Span-294" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">%</span></span><span style="border: 0px; box-sizing: border-box; display: inline-block; height: 2.285em; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 0px;"></span></span></span><span face=""Source Sans Pro", Calibri, Candara, Arial, sans-serif" style="background-color: white; border-bottom-style: initial; border-color: initial; border-image: initial; border-left-style: solid; border-right-style: initial; border-top-style: initial; border-width: 0px; box-sizing: border-box; color: #333333; display: inline-block; font-size: 15px; height: 2.403em; line-height: normal; margin: 0px; overflow: hidden; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: -0.863em; white-space: nowrap; width: 0px;"></span></div><div><span face=""Source Sans Pro", Calibri, Candara, Arial, sans-serif" style="background-color: white; border: 0px; box-sizing: border-box; color: #333333; display: inline-block; font-size: 16.65px; height: 0px; line-height: normal; margin: 0px; padding: 0px; position: relative; transition: none 0s ease 0s; vertical-align: 0px; white-space: nowrap; width: 21.565em;"><span style="border: 0px; box-sizing: border-box; clip: rect(0.784em, 1021.5em, 3.186em, -999.997em); left: 0em; line-height: normal; margin: 0px; padding: 0px; position: absolute; top: -2.279em; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mrow" id="MathJax-Span-296" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-297" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">s</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-298" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">u</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-299" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">p</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-300" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">p</span><span class="mo" id="MathJax-Span-301" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">(</span><span class="mo" id="MathJax-Span-302" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">{</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-303" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">T<span style="border: 0px; box-sizing: border-box; display: inline-block; height: 1px; line-height: normal; margin: 0px; overflow: hidden; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 0.123em;"></span></span><span class="mtext" id="MathJax-Span-304" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">-</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-305" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">s</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-306" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">h</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-307" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">i</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-308" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">r</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-309" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">t</span><span class="mo" id="MathJax-Span-310" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">,</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-311" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.183em; position: static; transition: none 0s ease 0s; vertical-align: 0px;">T<span style="border: 0px; box-sizing: border-box; display: inline-block; height: 1px; line-height: normal; margin: 0px; overflow: hidden; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 0.123em;"></span></span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-312" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">r</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-313" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">o</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-314" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">u</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-315" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">s</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-316" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">e</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-317" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">r</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-318" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">s</span><span class="mo" id="MathJax-Span-319" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">}</span><span class="mo" id="MathJax-Span-320" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.303em; position: static; transition: none 0s ease 0s; vertical-align: 0px;">⇒</span><span class="mo" id="MathJax-Span-321" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.303em; position: static; transition: none 0s ease 0s; vertical-align: 0px;">{</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-322" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">B</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-323" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">e</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-324" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">l</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-325" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">t</span><span class="mo" id="MathJax-Span-326" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">}</span><span class="mo" id="MathJax-Span-327" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">)</span><span class="mo" id="MathJax-Span-328" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.303em; position: static; transition: none 0s ease 0s; vertical-align: 0px;">=</span><span class="mstyle" id="MathJax-Span-329" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.303em; position: static; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mrow" id="MathJax-Span-330" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mfrac" id="MathJax-Span-331" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;"><span style="border: 0px; box-sizing: border-box; display: inline-block; height: 0px; line-height: normal; margin: 0px 0.123em; padding: 0px; position: relative; transition: none 0s ease 0s; vertical-align: 0px; width: 0.604em;"><span style="border: 0px; box-sizing: border-box; clip: rect(3.186em, 1000.42em, 4.207em, -999.997em); left: 5.02083px; line-height: normal; margin: 0px 0px 0px -0.237em; padding: 0px; position: absolute; top: -4.682em; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mn" id="MathJax-Span-332" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">2</span><span style="border: 0px; box-sizing: border-box; display: inline-block; height: 4.027em; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 0px;"></span></span><span style="border: 0px; box-sizing: border-box; clip: rect(3.186em, 1000.48em, 4.207em, -999.997em); left: 5.02083px; line-height: normal; margin: 0px 0px 0px -0.237em; padding: 0px; position: absolute; top: -3.36em; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mn" id="MathJax-Span-333" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">7</span><span style="border: 0px; box-sizing: border-box; display: inline-block; height: 4.027em; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 0px;"></span></span><span style="border: 0px; box-sizing: border-box; clip: rect(0.844em, 1000.6em, 1.264em, -999.997em); left: 0em; line-height: normal; margin: 0px; padding: 0px; position: absolute; top: -1.318em; transition: none 0s ease 0s; vertical-align: 0px;"><span style="border-bottom-style: initial; border-color: initial; border-image: initial; border-left-style: initial; border-right-style: initial; border-top-style: solid; border-width: 1.3px 0px 0px; box-sizing: border-box; display: inline-block; height: 0px; line-height: normal; margin: 0px; overflow: hidden; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0em; width: 0.604em;"></span><span style="border: 0px; box-sizing: border-box; display: inline-block; height: 1.084em; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 0px;"></span></span></span></span></span></span><span class="mo" id="MathJax-Span-334" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.303em; position: static; transition: none 0s ease 0s; vertical-align: 0px;">=</span><span class="mn" id="MathJax-Span-335" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.303em; position: static; transition: none 0s ease 0s; vertical-align: 0px;">28</span><span class="mi" id="MathJax-Span-336" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">%</span></span><span style="border: 0px; box-sizing: border-box; display: inline-block; height: 2.285em; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 0px;"></span></span></span><span face=""Source Sans Pro", Calibri, Candara, Arial, sans-serif" style="background-color: white; border-bottom-style: initial; border-color: initial; border-image: initial; border-left-style: solid; border-right-style: initial; border-top-style: initial; border-width: 0px; box-sizing: border-box; color: #333333; display: inline-block; font-size: 15px; height: 2.403em; line-height: normal; margin: 0px; overflow: hidden; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: -0.863em; white-space: nowrap; width: 0px;"></span></div><div><b><span style="font-size: medium;"><br /></span></b></div><div><b><span style="font-size: medium;">2.2 Confidence</span></b></div><div><br /></div><div>Untuk rule/aturan X⇒Y, confidence menunjukkan persentase Y dibeli dengan X. Ini merupakan indikasi seberapa sering rule tersebut terbukti benar. </div></div><div><br /></div><div><span face=""Source Sans Pro", Calibri, Candara, Arial, sans-serif" style="background-color: white; border: 0px; box-sizing: border-box; color: #333333; display: inline-block; font-size: 16.65px; height: 0px; line-height: normal; margin: 0px; padding: 0px; position: relative; text-align: center; transition: none 0s ease 0s; vertical-align: 0px; white-space: nowrap; width: 13.396em;"><span style="border: 0px; box-sizing: border-box; clip: rect(0.604em, 1013.4em, 3.426em, -999.997em); left: 0em; line-height: normal; margin: 0px; padding: 0px; position: absolute; top: -2.279em; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mrow" id="MathJax-Span-349" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-350" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">c</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-351" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">o</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-352" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">n</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-353" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">f<span style="border: 0px; box-sizing: border-box; display: inline-block; height: 1px; line-height: normal; margin: 0px; overflow: hidden; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 0.063em;"></span></span><span class="mo" id="MathJax-Span-354" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">(</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-355" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">X<span style="border: 0px; box-sizing: border-box; display: inline-block; height: 1px; line-height: normal; margin: 0px; overflow: hidden; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 0.003em;"></span></span><span class="mo" id="MathJax-Span-356" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.303em; position: static; transition: none 0s ease 0s; vertical-align: 0px;">⇒</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-357" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.303em; position: static; transition: none 0s ease 0s; vertical-align: 0px;">Y<span style="border: 0px; box-sizing: border-box; display: inline-block; height: 1px; line-height: normal; margin: 0px; overflow: hidden; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 0.183em;"></span></span><span class="mo" id="MathJax-Span-358" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">)</span><span class="mo" id="MathJax-Span-359" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.303em; position: static; transition: none 0s ease 0s; vertical-align: 0px;">=</span><span class="mstyle" id="MathJax-Span-360" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.303em; position: static; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mrow" id="MathJax-Span-361" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mfrac" id="MathJax-Span-362" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;"><span style="border: 0px; box-sizing: border-box; display: inline-block; height: 0px; line-height: normal; margin: 0px 0.123em; padding: 0px; position: relative; transition: none 0s ease 0s; vertical-align: 0px; width: 5.709em;"><span style="border: 0px; box-sizing: border-box; clip: rect(3.126em, 1005.53em, 4.447em, -999.997em); left: 47.5208px; line-height: normal; margin: 0px 0px 0px -2.82em; padding: 0px; position: absolute; top: -4.742em; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mrow" id="MathJax-Span-363" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-364" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">s</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-365" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">u</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-366" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">p</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-367" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">p</span><span class="mo" id="MathJax-Span-368" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">(</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-369" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">X<span style="border: 0px; box-sizing: border-box; display: inline-block; height: 1px; line-height: normal; margin: 0px; overflow: hidden; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 0.003em;"></span></span><span class="mo" id="MathJax-Span-370" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.243em; position: static; transition: none 0s ease 0s; vertical-align: 0px;">∪</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-371" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.243em; position: static; transition: none 0s ease 0s; vertical-align: 0px;">Y<span style="border: 0px; box-sizing: border-box; display: inline-block; height: 1px; line-height: normal; margin: 0px; overflow: hidden; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 0.183em;"></span></span><span class="mo" id="MathJax-Span-372" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">)</span></span><span style="border: 0px; box-sizing: border-box; display: inline-block; height: 4.027em; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 0px;"></span></span><span style="border: 0px; box-sizing: border-box; clip: rect(3.126em, 1003.61em, 4.447em, -999.997em); left: 47.5208px; line-height: normal; margin: 0px 0px 0px -1.859em; padding: 0px; position: absolute; top: -3.3em; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mrow" id="MathJax-Span-373" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-374" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">s</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-375" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">u</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-376" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">p</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-377" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">p</span><span class="mo" id="MathJax-Span-378" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">(</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-379" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">X<span style="border: 0px; box-sizing: border-box; display: inline-block; height: 1px; line-height: normal; margin: 0px; overflow: hidden; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 0.003em;"></span></span><span class="mo" id="MathJax-Span-380" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">)</span></span><span style="border: 0px; box-sizing: border-box; display: inline-block; height: 4.027em; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 0px;"></span></span><span style="border: 0px; box-sizing: border-box; clip: rect(0.844em, 1005.71em, 1.264em, -999.997em); left: 0em; line-height: normal; margin: 0px; padding: 0px; position: absolute; top: -1.318em; transition: none 0s ease 0s; vertical-align: 0px;"><span style="border-bottom-style: initial; border-color: initial; border-image: initial; border-left-style: initial; border-right-style: initial; border-top-style: solid; border-width: 1.3px 0px 0px; box-sizing: border-box; display: inline-block; height: 0px; line-height: normal; margin: 0px; overflow: hidden; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0em; width: 5.709em;"></span><span style="border: 0px; box-sizing: border-box; display: inline-block; height: 1.084em; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 0px;"></span></span></span></span></span></span></span><span style="border: 0px; box-sizing: border-box; display: inline-block; height: 2.285em; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 0px;"></span></span></span><span face=""Source Sans Pro", Calibri, Candara, Arial, sans-serif" style="background-color: white; border-bottom-style: initial; border-color: initial; border-image: initial; border-left-style: solid; border-right-style: initial; border-top-style: initial; border-width: 0px; box-sizing: border-box; color: #333333; display: inline-block; font-size: 15px; height: 2.87em; line-height: normal; margin: 0px; overflow: hidden; padding: 0px; position: static; text-align: center; transition: none 0s ease 0s; vertical-align: -1.13em; white-space: nowrap; width: 0px;"></span></div><div><br /></div><div>Misalnya, rule T-shirt⇒Trousers memiliki tingkat convidence 3/4, yang berarti bahwa untuk 75% transaksi yang berisi kaos, rule tersebut benar (75% dari frekuensi pelanggan membeli kaos, celana panjang juga dibeli). Tiga contoh lagi:</div><div><br /></div><div><span face=""Source Sans Pro", Calibri, Candara, Arial, sans-serif" style="background-color: white; border: 0px; box-sizing: border-box; color: #333333; display: inline-block; font-size: 16.65px; height: 0px; line-height: normal; margin: 0px; padding: 0px; position: relative; transition: none 0s ease 0s; vertical-align: 0px; white-space: nowrap; width: 16.88em;"><span style="border: 0px; box-sizing: border-box; clip: rect(0.604em, 1016.82em, 3.426em, -999.997em); left: 0em; line-height: normal; margin: 0px; padding: 0px; position: absolute; top: -2.279em; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mrow" id="MathJax-Span-400" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-401" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">c</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-402" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">o</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-403" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">n</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-404" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">f<span style="border: 0px; box-sizing: border-box; display: inline-block; height: 1px; line-height: normal; margin: 0px; overflow: hidden; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 0.063em;"></span></span><span class="mo" id="MathJax-Span-405" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">(</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-406" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">T<span style="border: 0px; box-sizing: border-box; display: inline-block; height: 1px; line-height: normal; margin: 0px; overflow: hidden; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 0.123em;"></span></span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-407" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">r</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-408" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">o</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-409" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">u</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-410" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">s</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-411" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">e</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-412" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">r</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-413" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">s</span><span class="mo" id="MathJax-Span-414" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.303em; position: static; transition: none 0s ease 0s; vertical-align: 0px;">⇒</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-415" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.303em; position: static; transition: none 0s ease 0s; vertical-align: 0px;">B</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-416" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">e</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-417" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">l</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-418" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">t</span><span class="mo" id="MathJax-Span-419" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">)</span><span class="mo" id="MathJax-Span-420" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.303em; position: static; transition: none 0s ease 0s; vertical-align: 0px;">=</span><span class="mstyle" id="MathJax-Span-421" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.303em; position: static; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mrow" id="MathJax-Span-422" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mfrac" id="MathJax-Span-423" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;"><span style="border: 0px; box-sizing: border-box; display: inline-block; height: 0px; line-height: normal; margin: 0px 0.123em; padding: 0px; position: relative; transition: none 0s ease 0s; vertical-align: 0px; width: 1.625em;"><span style="border: 0px; box-sizing: border-box; clip: rect(3.126em, 1001.5em, 4.447em, -999.997em); left: 13.5208px; line-height: normal; margin: 0px 0px 0px -0.718em; padding: 0px; position: absolute; top: -4.742em; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mrow" id="MathJax-Span-424" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mn" id="MathJax-Span-425" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">4</span><span class="texatom" id="MathJax-Span-426" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mrow" id="MathJax-Span-427" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mo" id="MathJax-Span-428" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">/</span></span></span><span class="mn" id="MathJax-Span-429" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">7</span></span><span style="border: 0px; box-sizing: border-box; display: inline-block; height: 4.027em; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 0px;"></span></span><span style="border: 0px; box-sizing: border-box; clip: rect(3.126em, 1001.5em, 4.447em, -999.997em); left: 13.5208px; line-height: normal; margin: 0px 0px 0px -0.718em; padding: 0px; position: absolute; top: -3.3em; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mrow" id="MathJax-Span-430" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mn" id="MathJax-Span-431" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">5</span><span class="texatom" id="MathJax-Span-432" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mrow" id="MathJax-Span-433" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mo" id="MathJax-Span-434" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">/</span></span></span><span class="mn" id="MathJax-Span-435" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">7</span></span><span style="border: 0px; box-sizing: border-box; display: inline-block; height: 4.027em; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 0px;"></span></span><span style="border: 0px; box-sizing: border-box; clip: rect(0.844em, 1001.62em, 1.264em, -999.997em); left: 0em; line-height: normal; margin: 0px; padding: 0px; position: absolute; top: -1.318em; transition: none 0s ease 0s; vertical-align: 0px;"><span style="border-bottom-style: initial; border-color: initial; border-image: initial; border-left-style: initial; border-right-style: initial; border-top-style: solid; border-width: 1.3px 0px 0px; box-sizing: border-box; display: inline-block; height: 0px; line-height: normal; margin: 0px; overflow: hidden; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0em; width: 1.625em;"></span><span style="border: 0px; box-sizing: border-box; display: inline-block; height: 1.084em; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 0px;"></span></span></span></span></span></span><span class="mo" id="MathJax-Span-436" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.303em; position: static; transition: none 0s ease 0s; vertical-align: 0px;">=</span><span class="mn" id="MathJax-Span-437" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.303em; position: static; transition: none 0s ease 0s; vertical-align: 0px;">80</span><span class="mi" id="MathJax-Span-438" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">%</span></span><span style="border: 0px; box-sizing: border-box; display: inline-block; height: 2.285em; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 0px;"></span></span></span><span face=""Source Sans Pro", Calibri, Candara, Arial, sans-serif" style="background-color: white; border-bottom-style: initial; border-color: initial; border-image: initial; border-left-style: solid; border-right-style: initial; border-top-style: initial; border-width: 0px; box-sizing: border-box; color: #333333; display: inline-block; font-size: 15px; height: 2.87em; line-height: normal; margin: 0px; overflow: hidden; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: -1.13em; white-space: nowrap; width: 0px;"></span></div><div><span face=""Source Sans Pro", Calibri, Candara, Arial, sans-serif" style="background-color: white; border: 0px; box-sizing: border-box; color: #333333; display: inline-block; font-size: 16.65px; height: 0px; line-height: normal; margin: 0px; padding: 0px; position: relative; transition: none 0s ease 0s; vertical-align: 0px; white-space: nowrap; width: 16.039em;"><span style="border: 0px; box-sizing: border-box; clip: rect(0.604em, 1015.98em, 3.426em, -999.997em); left: 0em; line-height: normal; margin: 0px; padding: 0px; position: absolute; top: -2.279em; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mrow" id="MathJax-Span-440" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-442" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">co</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-443" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">n</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-444" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">f<span style="border: 0px; box-sizing: border-box; display: inline-block; height: 1px; line-height: normal; margin: 0px; overflow: hidden; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 0.063em;"></span></span><span class="mo" id="MathJax-Span-445" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">(</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-446" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">T<span style="border: 0px; box-sizing: border-box; display: inline-block; height: 1px; line-height: normal; margin: 0px; overflow: hidden; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 0.123em;"></span></span><span class="mtext" id="MathJax-Span-447" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">-</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-448" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">s</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-449" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">h</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-450" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">i</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-451" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">r</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-452" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">t</span><span class="mo" id="MathJax-Span-453" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.303em; position: static; transition: none 0s ease 0s; vertical-align: 0px;">⇒</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-454" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.303em; position: static; transition: none 0s ease 0s; vertical-align: 0px;">B</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-455" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">e</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-456" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">l</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-457" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">t</span><span class="mo" id="MathJax-Span-458" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">)</span><span class="mo" id="MathJax-Span-459" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.303em; position: static; transition: none 0s ease 0s; vertical-align: 0px;">=</span><span class="mstyle" id="MathJax-Span-460" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.303em; position: static; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mrow" id="MathJax-Span-461" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mfrac" id="MathJax-Span-462" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;"><span style="border: 0px; box-sizing: border-box; display: inline-block; height: 0px; line-height: normal; margin: 0px 0.123em; padding: 0px; position: relative; transition: none 0s ease 0s; vertical-align: 0px; width: 1.625em;"><span style="border: 0px; box-sizing: border-box; clip: rect(3.126em, 1001.5em, 4.447em, -999.997em); left: 13.5208px; line-height: normal; margin: 0px 0px 0px -0.718em; padding: 0px; position: absolute; top: -4.742em; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mrow" id="MathJax-Span-463" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mn" id="MathJax-Span-464" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">2</span><span class="texatom" id="MathJax-Span-465" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mrow" id="MathJax-Span-466" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mo" id="MathJax-Span-467" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">/</span></span></span><span class="mn" id="MathJax-Span-468" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">7</span></span><span style="border: 0px; box-sizing: border-box; display: inline-block; height: 4.027em; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 0px;"></span></span><span style="border: 0px; box-sizing: border-box; clip: rect(3.126em, 1001.5em, 4.447em, -999.997em); left: 13.5208px; line-height: normal; margin: 0px 0px 0px -0.718em; padding: 0px; position: absolute; top: -3.3em; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mrow" id="MathJax-Span-469" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mn" id="MathJax-Span-470" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">4</span><span class="texatom" id="MathJax-Span-471" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mrow" id="MathJax-Span-472" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mo" id="MathJax-Span-473" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">/</span></span></span><span class="mn" id="MathJax-Span-474" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">7</span></span><span style="border: 0px; box-sizing: border-box; display: inline-block; height: 4.027em; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 0px;"></span></span><span style="border: 0px; box-sizing: border-box; clip: rect(0.844em, 1001.62em, 1.264em, -999.997em); left: 0em; line-height: normal; margin: 0px; padding: 0px; position: absolute; top: -1.318em; transition: none 0s ease 0s; vertical-align: 0px;"><span style="border-bottom-style: initial; border-color: initial; border-image: initial; border-left-style: initial; border-right-style: initial; border-top-style: solid; border-width: 1.3px 0px 0px; box-sizing: border-box; display: inline-block; height: 0px; line-height: normal; margin: 0px; overflow: hidden; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0em; width: 1.625em;"></span><span style="border: 0px; box-sizing: border-box; display: inline-block; height: 1.084em; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 0px;"></span></span></span></span></span></span><span class="mo" id="MathJax-Span-475" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.303em; position: static; transition: none 0s ease 0s; vertical-align: 0px;">=</span><span class="mn" id="MathJax-Span-476" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.303em; position: static; transition: none 0s ease 0s; vertical-align: 0px;">50</span><span class="mi" id="MathJax-Span-477" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">%</span></span><span style="border: 0px; box-sizing: border-box; display: inline-block; height: 2.285em; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 0px;"></span></span></span><span face=""Source Sans Pro", Calibri, Candara, Arial, sans-serif" style="background-color: white; border-bottom-style: initial; border-color: initial; border-image: initial; border-left-style: solid; border-right-style: initial; border-top-style: initial; border-width: 0px; box-sizing: border-box; color: #333333; display: inline-block; font-size: 15px; height: 2.87em; line-height: normal; margin: 0px; overflow: hidden; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: -1.13em; white-space: nowrap; width: 0px;"></span></div><div><span face=""Source Sans Pro", Calibri, Candara, Arial, sans-serif" style="background-color: white; border: 0px; box-sizing: border-box; color: #333333; display: inline-block; font-size: 16.65px; height: 0px; line-height: normal; margin: 0px; padding: 0px; position: relative; transition: none 0s ease 0s; vertical-align: 0px; white-space: nowrap; width: 22.586em;"><span style="border: 0px; box-sizing: border-box; clip: rect(0.604em, 1022.53em, 3.426em, -999.997em); left: 0em; line-height: normal; margin: 0px; padding: 0px; position: absolute; top: -2.279em; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mrow" id="MathJax-Span-479" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-481" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">co</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-482" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">n</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-483" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">f<span style="border: 0px; box-sizing: border-box; display: inline-block; height: 1px; line-height: normal; margin: 0px; overflow: hidden; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 0.063em;"></span></span><span class="mo" id="MathJax-Span-484" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">(</span><span class="mo" id="MathJax-Span-485" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">{</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-486" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">T<span style="border: 0px; box-sizing: border-box; display: inline-block; height: 1px; line-height: normal; margin: 0px; overflow: hidden; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 0.123em;"></span></span><span class="mtext" id="MathJax-Span-487" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">-</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-488" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">s</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-489" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">h</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-490" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">i</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-491" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">r</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-492" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">t</span><span class="mo" id="MathJax-Span-493" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">,</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-494" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.183em; position: static; transition: none 0s ease 0s; vertical-align: 0px;">T<span style="border: 0px; box-sizing: border-box; display: inline-block; height: 1px; line-height: normal; margin: 0px; overflow: hidden; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 0.123em;"></span></span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-495" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">r</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-496" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">o</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-497" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">u</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-498" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">s</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-499" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">e</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-500" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">r</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-501" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">s</span><span class="mo" id="MathJax-Span-502" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">}</span><span class="mo" id="MathJax-Span-503" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.303em; position: static; transition: none 0s ease 0s; vertical-align: 0px;">⇒</span><span class="mo" id="MathJax-Span-504" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.303em; position: static; transition: none 0s ease 0s; vertical-align: 0px;">{</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-505" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">B</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-506" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">e</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-507" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">l</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-508" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">t</span><span class="mo" id="MathJax-Span-509" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">}</span><span class="mo" id="MathJax-Span-510" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">)</span><span class="mo" id="MathJax-Span-511" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.303em; position: static; transition: none 0s ease 0s; vertical-align: 0px;">=</span><span class="mstyle" id="MathJax-Span-512" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.303em; position: static; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mrow" id="MathJax-Span-513" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mfrac" id="MathJax-Span-514" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;"><span style="border: 0px; box-sizing: border-box; display: inline-block; height: 0px; line-height: normal; margin: 0px 0.123em; padding: 0px; position: relative; transition: none 0s ease 0s; vertical-align: 0px; width: 1.625em;"><span style="border: 0px; box-sizing: border-box; clip: rect(3.126em, 1001.5em, 4.447em, -999.997em); left: 13.5208px; line-height: normal; margin: 0px 0px 0px -0.718em; padding: 0px; position: absolute; top: -4.742em; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mrow" id="MathJax-Span-515" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mn" id="MathJax-Span-516" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">2</span><span class="texatom" id="MathJax-Span-517" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mrow" id="MathJax-Span-518" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mo" id="MathJax-Span-519" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">/</span></span></span><span class="mn" id="MathJax-Span-520" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">7</span></span><span style="border: 0px; box-sizing: border-box; display: inline-block; height: 4.027em; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 0px;"></span></span><span style="border: 0px; box-sizing: border-box; clip: rect(3.126em, 1001.5em, 4.447em, -999.997em); left: 13.5208px; line-height: normal; margin: 0px 0px 0px -0.718em; padding: 0px; position: absolute; top: -3.3em; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mrow" id="MathJax-Span-521" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mn" id="MathJax-Span-522" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">3</span><span class="texatom" id="MathJax-Span-523" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mrow" id="MathJax-Span-524" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mo" id="MathJax-Span-525" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">/</span></span></span><span class="mn" id="MathJax-Span-526" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">7</span></span><span style="border: 0px; box-sizing: border-box; display: inline-block; height: 4.027em; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 0px;"></span></span><span style="border: 0px; box-sizing: border-box; clip: rect(0.844em, 1001.62em, 1.264em, -999.997em); left: 0em; line-height: normal; margin: 0px; padding: 0px; position: absolute; top: -1.318em; transition: none 0s ease 0s; vertical-align: 0px;"><span style="border-bottom-style: initial; border-color: initial; border-image: initial; border-left-style: initial; border-right-style: initial; border-top-style: solid; border-width: 1.3px 0px 0px; box-sizing: border-box; display: inline-block; height: 0px; line-height: normal; margin: 0px; overflow: hidden; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0em; width: 1.625em;"></span><span style="border: 0px; box-sizing: border-box; display: inline-block; height: 1.084em; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 0px;"></span></span></span></span></span></span><span class="mo" id="MathJax-Span-527" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.303em; position: static; transition: none 0s ease 0s; vertical-align: 0px;">=</span><span class="mn" id="MathJax-Span-528" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.303em; position: static; transition: none 0s ease 0s; vertical-align: 0px;">66</span><span class="mi" id="MathJax-Span-529" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">%</span></span><span style="border: 0px; box-sizing: border-box; display: inline-block; height: 2.285em; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 0px;"></span></span></span><span face=""Source Sans Pro", Calibri, Candara, Arial, sans-serif" style="background-color: white; border-bottom-style: initial; border-color: initial; border-image: initial; border-left-style: solid; border-right-style: initial; border-top-style: initial; border-width: 0px; box-sizing: border-box; color: #333333; display: inline-block; font-size: 15px; height: 2.87em; line-height: normal; margin: 0px; overflow: hidden; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: -1.13em; white-space: nowrap; width: 0px;"></span></div><div><br /></div><div><div><b><span style="font-size: medium;">2.3 Lift</span></b></div><div><b><span style="font-size: medium;"><br /></span></b></div><div>Aturan/ rule lift adalah rasio support yang diamati dengan yang diharapkan jika X dan Y independen, dan didefinisikan sebagai</div></div><div><br /></div><div><span face=""Source Sans Pro", Calibri, Candara, Arial, sans-serif" style="background-color: white; border: 0px; box-sizing: border-box; color: #333333; display: inline-block; font-size: 16.65px; height: 0px; line-height: normal; margin: 0px; padding: 0px; position: relative; text-align: center; transition: none 0s ease 0s; vertical-align: 0px; white-space: nowrap; width: 14.598em;"><span style="border: 0px; box-sizing: border-box; clip: rect(0.604em, 1014.6em, 3.426em, -999.997em); left: 0em; line-height: normal; margin: 0px; padding: 0px; position: absolute; top: -2.279em; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mrow" id="MathJax-Span-537" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-538" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">l</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-539" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">i</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-540" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">f<span style="border: 0px; box-sizing: border-box; display: inline-block; height: 1px; line-height: normal; margin: 0px; overflow: hidden; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 0.063em;"></span></span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-541" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">t</span><span class="mo" id="MathJax-Span-542" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">(</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-543" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">X<span style="border: 0px; box-sizing: border-box; display: inline-block; height: 1px; line-height: normal; margin: 0px; overflow: hidden; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 0.003em;"></span></span><span class="mo" id="MathJax-Span-544" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.303em; position: static; transition: none 0s ease 0s; vertical-align: 0px;">⇒</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-545" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.303em; position: static; transition: none 0s ease 0s; vertical-align: 0px;">Y<span style="border: 0px; box-sizing: border-box; display: inline-block; height: 1px; line-height: normal; margin: 0px; overflow: hidden; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 0.183em;"></span></span><span class="mo" id="MathJax-Span-546" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">)</span><span class="mo" id="MathJax-Span-547" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.303em; position: static; transition: none 0s ease 0s; vertical-align: 0px;">=</span><span class="mstyle" id="MathJax-Span-548" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.303em; position: static; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mrow" id="MathJax-Span-549" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mfrac" id="MathJax-Span-550" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;"><span style="border: 0px; box-sizing: border-box; display: inline-block; height: 0px; line-height: normal; margin: 0px 0.123em; padding: 0px; position: relative; transition: none 0s ease 0s; vertical-align: 0px; width: 7.39em;"><span style="border: 0px; box-sizing: border-box; clip: rect(3.126em, 1005.53em, 4.447em, -999.997em); left: 61.5208px; line-height: normal; margin: 0px 0px 0px -2.82em; padding: 0px; position: absolute; top: -4.742em; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mrow" id="MathJax-Span-551" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-552" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">s</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-553" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">u</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-554" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">p</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-555" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">p</span><span class="mo" id="MathJax-Span-556" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">(</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-557" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">X<span style="border: 0px; box-sizing: border-box; display: inline-block; height: 1px; line-height: normal; margin: 0px; overflow: hidden; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 0.003em;"></span></span><span class="mo" id="MathJax-Span-558" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.243em; position: static; transition: none 0s ease 0s; vertical-align: 0px;">∪</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-559" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.243em; position: static; transition: none 0s ease 0s; vertical-align: 0px;">Y<span style="border: 0px; box-sizing: border-box; display: inline-block; height: 1px; line-height: normal; margin: 0px; overflow: hidden; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 0.183em;"></span></span><span class="mo" id="MathJax-Span-560" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">)</span></span><span style="border: 0px; box-sizing: border-box; display: inline-block; height: 4.027em; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 0px;"></span></span><span style="border: 0px; box-sizing: border-box; clip: rect(3.126em, 1007.15em, 4.447em, -999.997em); left: 61.5208px; line-height: normal; margin: 0px 0px 0px -3.601em; padding: 0px; position: absolute; top: -3.3em; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mrow" id="MathJax-Span-561" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-562" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">s</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-563" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">u</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-564" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">p</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-565" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">p</span><span class="mo" id="MathJax-Span-566" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">(</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-567" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">X<span style="border: 0px; box-sizing: border-box; display: inline-block; height: 1px; line-height: normal; margin: 0px; overflow: hidden; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 0.003em;"></span></span><span class="mo" id="MathJax-Span-568" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">)</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-569" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">s</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-570" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">u</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-571" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">p</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-572" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">p</span><span class="mo" id="MathJax-Span-573" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">(</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-574" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">Y<span style="border: 0px; box-sizing: border-box; display: inline-block; height: 1px; line-height: normal; margin: 0px; overflow: hidden; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 0.183em;"></span></span><span class="mo" id="MathJax-Span-575" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">)</span></span><span style="border: 0px; box-sizing: border-box; display: inline-block; height: 4.027em; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 0px;"></span></span><span style="border: 0px; box-sizing: border-box; clip: rect(0.844em, 1007.39em, 1.264em, -999.997em); left: 0em; line-height: normal; margin: 0px; padding: 0px; position: absolute; top: -1.318em; transition: none 0s ease 0s; vertical-align: 0px;"><span style="border-bottom-style: initial; border-color: initial; border-image: initial; border-left-style: initial; border-right-style: initial; border-top-style: solid; border-width: 1.3px 0px 0px; box-sizing: border-box; display: inline-block; height: 0px; line-height: normal; margin: 0px; overflow: hidden; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0em; width: 7.39em;"></span><span style="border: 0px; box-sizing: border-box; display: inline-block; height: 1.084em; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 0px;"></span></span></span></span></span></span></span><span style="border: 0px; box-sizing: border-box; display: inline-block; height: 2.285em; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 0px;"></span></span></span><span face=""Source Sans Pro", Calibri, Candara, Arial, sans-serif" style="background-color: white; border-bottom-style: initial; border-color: initial; border-image: initial; border-left-style: solid; border-right-style: initial; border-top-style: initial; border-width: 0px; box-sizing: border-box; color: #333333; display: inline-block; font-size: 15px; height: 2.87em; line-height: normal; margin: 0px; overflow: hidden; padding: 0px; position: static; text-align: center; transition: none 0s ease 0s; vertical-align: -1.13em; white-space: nowrap; width: 0px;"></span></div><div><br /></div><div>Nilai lift yang lebih tinggi menunjukkan asosiasi/associations yang lebih kuat. Mari kita lihat beberapa contohnya:</div><div><br /></div><div><div><span face=""Source Sans Pro", Calibri, Candara, Arial, sans-serif" style="background-color: white; border: 0px; box-sizing: border-box; color: #333333; display: inline-block; font-size: 16.65px; height: 0px; line-height: normal; margin: 0px; padding: 0px; position: relative; transition: none 0s ease 0s; vertical-align: 0px; white-space: nowrap; width: 20.724em;"><span style="border: 0px; box-sizing: border-box; clip: rect(0.604em, 1020.66em, 3.426em, -999.997em); left: 0em; line-height: normal; margin: 0px; padding: 0px; position: absolute; top: -2.279em; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mrow" id="MathJax-Span-577" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-578" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">l</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-579" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">i</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-580" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">f<span style="border: 0px; box-sizing: border-box; display: inline-block; height: 1px; line-height: normal; margin: 0px; overflow: hidden; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 0.063em;"></span></span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-581" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">t</span><span class="mo" id="MathJax-Span-582" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">(</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-583" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">T<span style="border: 0px; box-sizing: border-box; display: inline-block; height: 1px; line-height: normal; margin: 0px; overflow: hidden; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 0.123em;"></span></span><span class="mtext" id="MathJax-Span-584" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">-</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-585" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">s</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-586" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">h</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-587" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">i</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-588" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">r</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-589" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">t</span><span class="mo" id="MathJax-Span-590" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.303em; position: static; transition: none 0s ease 0s; vertical-align: 0px;">⇒</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-591" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.303em; position: static; transition: none 0s ease 0s; vertical-align: 0px;">T<span style="border: 0px; box-sizing: border-box; display: inline-block; height: 1px; line-height: normal; margin: 0px; overflow: hidden; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 0.123em;"></span></span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-592" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">r</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-593" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">o</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-594" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">u</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-595" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">s</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-596" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">e</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-597" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">r</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-598" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">s</span><span class="mo" id="MathJax-Span-599" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">)</span><span class="mo" id="MathJax-Span-600" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.303em; position: static; transition: none 0s ease 0s; vertical-align: 0px;">=</span><span class="mstyle" id="MathJax-Span-601" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.303em; position: static; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mrow" id="MathJax-Span-602" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mfrac" id="MathJax-Span-603" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;"><span style="border: 0px; box-sizing: border-box; display: inline-block; height: 0px; line-height: normal; margin: 0px 0.123em; padding: 0px; position: relative; transition: none 0s ease 0s; vertical-align: 0px; width: 4.688em;"><span style="border: 0px; box-sizing: border-box; clip: rect(3.126em, 1001.5em, 4.447em, -999.997em); left: 39.0208px; line-height: normal; margin: 0px 0px 0px -0.718em; padding: 0px; position: absolute; top: -4.742em; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mrow" id="MathJax-Span-604" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mn" id="MathJax-Span-605" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">3</span><span class="texatom" id="MathJax-Span-606" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mrow" id="MathJax-Span-607" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mo" id="MathJax-Span-608" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">/</span></span></span><span class="mn" id="MathJax-Span-609" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">7</span></span><span style="border: 0px; box-sizing: border-box; display: inline-block; height: 4.027em; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 0px;"></span></span><span style="border: 0px; box-sizing: border-box; clip: rect(3.126em, 1004.45em, 4.447em, -999.997em); left: 39.0208px; line-height: normal; margin: 0px 0px 0px -2.279em; padding: 0px; position: absolute; top: -3.3em; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mrow" id="MathJax-Span-610" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mo" id="MathJax-Span-611" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">(</span><span class="mn" id="MathJax-Span-612" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">4</span><span class="texatom" id="MathJax-Span-613" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mrow" id="MathJax-Span-614" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mo" id="MathJax-Span-615" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">/</span></span></span><span class="mn" id="MathJax-Span-616" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">7</span><span class="mo" id="MathJax-Span-617" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">)</span><span class="mo" id="MathJax-Span-618" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">(</span><span class="mn" id="MathJax-Span-619" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">5</span><span class="texatom" id="MathJax-Span-620" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mrow" id="MathJax-Span-621" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mo" id="MathJax-Span-622" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">/</span></span></span><span class="mn" id="MathJax-Span-623" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">7</span><span class="mo" id="MathJax-Span-624" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">)</span></span><span style="border: 0px; box-sizing: border-box; display: inline-block; height: 4.027em; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 0px;"></span></span><span style="border: 0px; box-sizing: border-box; clip: rect(0.844em, 1004.69em, 1.264em, -999.997em); left: 0em; line-height: normal; margin: 0px; padding: 0px; position: absolute; top: -1.318em; transition: none 0s ease 0s; vertical-align: 0px;"><span style="border-bottom-style: initial; border-color: initial; border-image: initial; border-left-style: initial; border-right-style: initial; border-top-style: solid; border-width: 1.3px 0px 0px; box-sizing: border-box; display: inline-block; height: 0px; line-height: normal; margin: 0px; overflow: hidden; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0em; width: 4.688em;"></span><span style="border: 0px; box-sizing: border-box; display: inline-block; height: 1.084em; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 0px;"></span></span></span></span></span></span><span class="mo" id="MathJax-Span-625" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.303em; position: static; transition: none 0s ease 0s; vertical-align: 0px;">=</span><span class="mn" id="MathJax-Span-626" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.303em; position: static; transition: none 0s ease 0s; vertical-align: 0px;">1.05</span></span><span style="border: 0px; box-sizing: border-box; display: inline-block; height: 2.285em; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 0px;"></span></span></span><span face=""Source Sans Pro", Calibri, Candara, Arial, sans-serif" style="background-color: white; border-bottom-style: initial; border-color: initial; border-image: initial; border-left-style: solid; border-right-style: initial; border-top-style: initial; border-width: 0px; box-sizing: border-box; color: #333333; display: inline-block; font-size: 15px; height: 2.87em; line-height: normal; margin: 0px; overflow: hidden; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: -1.13em; white-space: nowrap; width: 0px;"></span></div></div><div><span face=""Source Sans Pro", Calibri, Candara, Arial, sans-serif" style="background-color: white; border: 0px; box-sizing: border-box; color: #333333; display: inline-block; font-size: 16.65px; height: 0px; line-height: normal; margin: 0px; padding: 0px; position: relative; transition: none 0s ease 0s; vertical-align: 0px; white-space: nowrap; width: 18.862em;"><span style="border: 0px; box-sizing: border-box; clip: rect(0.604em, 1018.86em, 3.426em, -999.997em); left: 0em; line-height: normal; margin: 0px; padding: 0px; position: absolute; top: -2.279em; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mrow" id="MathJax-Span-628" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-629" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">l</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-630" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">i</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-631" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">f<span style="border: 0px; box-sizing: border-box; display: inline-block; height: 1px; line-height: normal; margin: 0px; overflow: hidden; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 0.063em;"></span></span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-632" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">t</span><span class="mo" id="MathJax-Span-633" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">(</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-634" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">T<span style="border: 0px; box-sizing: border-box; display: inline-block; height: 1px; line-height: normal; margin: 0px; overflow: hidden; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 0.123em;"></span></span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-635" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">r</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-636" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">o</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-637" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">u</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-638" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">s</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-639" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">e</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-640" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">r</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-641" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">s</span><span class="mo" id="MathJax-Span-642" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.303em; position: static; transition: none 0s ease 0s; vertical-align: 0px;">⇒</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-643" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.303em; position: static; transition: none 0s ease 0s; vertical-align: 0px;">B</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-644" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">e</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-645" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">l</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-646" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">t</span><span class="mo" id="MathJax-Span-647" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">)</span><span class="mo" id="MathJax-Span-648" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.303em; position: static; transition: none 0s ease 0s; vertical-align: 0px;">=</span><span class="mstyle" id="MathJax-Span-649" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.303em; position: static; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mrow" id="MathJax-Span-650" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mfrac" id="MathJax-Span-651" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;"><span style="border: 0px; box-sizing: border-box; display: inline-block; height: 0px; line-height: normal; margin: 0px 0.123em; padding: 0px; position: relative; transition: none 0s ease 0s; vertical-align: 0px; width: 4.688em;"><span style="border: 0px; box-sizing: border-box; clip: rect(3.126em, 1001.5em, 4.447em, -999.997em); left: 39.0208px; line-height: normal; margin: 0px 0px 0px -0.718em; padding: 0px; position: absolute; top: -4.742em; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mrow" id="MathJax-Span-652" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mn" id="MathJax-Span-653" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">4</span><span class="texatom" id="MathJax-Span-654" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mrow" id="MathJax-Span-655" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mo" id="MathJax-Span-656" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">/</span></span></span><span class="mn" id="MathJax-Span-657" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">7</span></span><span style="border: 0px; box-sizing: border-box; display: inline-block; height: 4.027em; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 0px;"></span></span><span style="border: 0px; box-sizing: border-box; clip: rect(3.126em, 1004.45em, 4.447em, -999.997em); left: 39.0208px; line-height: normal; margin: 0px 0px 0px -2.279em; padding: 0px; position: absolute; top: -3.3em; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mrow" id="MathJax-Span-658" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mo" id="MathJax-Span-659" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">(</span><span class="mn" id="MathJax-Span-660" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">5</span><span class="texatom" id="MathJax-Span-661" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mrow" id="MathJax-Span-662" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mo" id="MathJax-Span-663" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">/</span></span></span><span class="mn" id="MathJax-Span-664" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">7</span><span class="mo" id="MathJax-Span-665" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">)</span><span class="mo" id="MathJax-Span-666" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">(</span><span class="mn" id="MathJax-Span-667" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">4</span><span class="texatom" id="MathJax-Span-668" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mrow" id="MathJax-Span-669" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mo" id="MathJax-Span-670" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">/</span></span></span><span class="mn" id="MathJax-Span-671" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">7</span><span class="mo" id="MathJax-Span-672" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">)</span></span><span style="border: 0px; box-sizing: border-box; display: inline-block; height: 4.027em; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 0px;"></span></span><span style="border: 0px; box-sizing: border-box; clip: rect(0.844em, 1004.69em, 1.264em, -999.997em); left: 0em; line-height: normal; margin: 0px; padding: 0px; position: absolute; top: -1.318em; transition: none 0s ease 0s; vertical-align: 0px;"><span style="border-bottom-style: initial; border-color: initial; border-image: initial; border-left-style: initial; border-right-style: initial; border-top-style: solid; border-width: 1.3px 0px 0px; box-sizing: border-box; display: inline-block; height: 0px; line-height: normal; margin: 0px; overflow: hidden; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0em; width: 4.688em;"></span><span style="border: 0px; box-sizing: border-box; display: inline-block; height: 1.084em; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 0px;"></span></span></span></span></span></span><span class="mo" id="MathJax-Span-673" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.303em; position: static; transition: none 0s ease 0s; vertical-align: 0px;">=</span><span class="mn" id="MathJax-Span-674" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.303em; position: static; transition: none 0s ease 0s; vertical-align: 0px;">1.4</span></span><span style="border: 0px; box-sizing: border-box; display: inline-block; height: 2.285em; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 0px;"></span></span></span><span face=""Source Sans Pro", Calibri, Candara, Arial, sans-serif" style="background-color: white; border-bottom-style: initial; border-color: initial; border-image: initial; border-left-style: solid; border-right-style: initial; border-top-style: initial; border-width: 0px; box-sizing: border-box; color: #333333; display: inline-block; font-size: 15px; height: 2.87em; line-height: normal; margin: 0px; overflow: hidden; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: -1.13em; white-space: nowrap; width: 0px;"></span></div><div><span face=""Source Sans Pro", Calibri, Candara, Arial, sans-serif" style="background-color: white; border: 0px; box-sizing: border-box; color: #333333; display: inline-block; font-size: 16.65px; height: 0px; line-height: normal; margin: 0px; padding: 0px; position: relative; transition: none 0s ease 0s; vertical-align: 0px; white-space: nowrap; width: 19.042em;"><span style="border: 0px; box-sizing: border-box; clip: rect(0.604em, 1018.98em, 3.426em, -999.997em); left: 0em; line-height: normal; margin: 0px; padding: 0px; position: absolute; top: -2.279em; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mrow" id="MathJax-Span-676" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-677" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">l</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-678" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">i</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-679" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">f<span style="border: 0px; box-sizing: border-box; display: inline-block; height: 1px; line-height: normal; margin: 0px; overflow: hidden; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 0.063em;"></span></span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-680" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">t</span><span class="mo" id="MathJax-Span-681" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">(</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-682" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">T<span style="border: 0px; box-sizing: border-box; display: inline-block; height: 1px; line-height: normal; margin: 0px; overflow: hidden; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 0.123em;"></span></span><span class="mtext" id="MathJax-Span-683" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">-</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-684" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">s</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-685" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">h</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-686" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">i</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-687" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">r</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-688" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">t</span><span class="mo" id="MathJax-Span-689" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.303em; position: static; transition: none 0s ease 0s; vertical-align: 0px;">⇒</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-690" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.303em; position: static; transition: none 0s ease 0s; vertical-align: 0px;">B</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-691" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">e</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-692" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">l</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-693" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">t</span><span class="mo" id="MathJax-Span-694" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">)</span><span class="mo" id="MathJax-Span-695" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.303em; position: static; transition: none 0s ease 0s; vertical-align: 0px;">=</span><span class="mstyle" id="MathJax-Span-696" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.303em; position: static; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mrow" id="MathJax-Span-697" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mfrac" id="MathJax-Span-698" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;"><span style="border: 0px; box-sizing: border-box; display: inline-block; height: 0px; line-height: normal; margin: 0px 0.123em; padding: 0px; position: relative; transition: none 0s ease 0s; vertical-align: 0px; width: 4.688em;"><span style="border: 0px; box-sizing: border-box; clip: rect(3.126em, 1001.5em, 4.447em, -999.997em); left: 39.0208px; line-height: normal; margin: 0px 0px 0px -0.718em; padding: 0px; position: absolute; top: -4.742em; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mrow" id="MathJax-Span-699" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mn" id="MathJax-Span-700" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">2</span><span class="texatom" id="MathJax-Span-701" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mrow" id="MathJax-Span-702" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mo" id="MathJax-Span-703" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">/</span></span></span><span class="mn" id="MathJax-Span-704" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">7</span></span><span style="border: 0px; box-sizing: border-box; display: inline-block; height: 4.027em; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 0px;"></span></span><span style="border: 0px; box-sizing: border-box; clip: rect(3.126em, 1004.45em, 4.447em, -999.997em); left: 39.0208px; line-height: normal; margin: 0px 0px 0px -2.279em; padding: 0px; position: absolute; top: -3.3em; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mrow" id="MathJax-Span-705" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mo" id="MathJax-Span-706" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">(</span><span class="mn" id="MathJax-Span-707" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">4</span><span class="texatom" id="MathJax-Span-708" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mrow" id="MathJax-Span-709" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mo" id="MathJax-Span-710" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">/</span></span></span><span class="mn" id="MathJax-Span-711" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">7</span><span class="mo" id="MathJax-Span-712" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">)</span><span class="mo" id="MathJax-Span-713" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">(</span><span class="mn" id="MathJax-Span-714" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">4</span><span class="texatom" id="MathJax-Span-715" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mrow" id="MathJax-Span-716" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mo" id="MathJax-Span-717" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">/</span></span></span><span class="mn" id="MathJax-Span-718" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">7</span><span class="mo" id="MathJax-Span-719" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">)</span></span><span style="border: 0px; box-sizing: border-box; display: inline-block; height: 4.027em; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 0px;"></span></span><span style="border: 0px; box-sizing: border-box; clip: rect(0.844em, 1004.69em, 1.264em, -999.997em); left: 0em; line-height: normal; margin: 0px; padding: 0px; position: absolute; top: -1.318em; transition: none 0s ease 0s; vertical-align: 0px;"><span style="border-bottom-style: initial; border-color: initial; border-image: initial; border-left-style: initial; border-right-style: initial; border-top-style: solid; border-width: 1.3px 0px 0px; box-sizing: border-box; display: inline-block; height: 0px; line-height: normal; margin: 0px; overflow: hidden; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0em; width: 4.688em;"></span><span style="border: 0px; box-sizing: border-box; display: inline-block; height: 1.084em; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 0px;"></span></span></span></span></span></span><span class="mo" id="MathJax-Span-720" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.303em; position: static; transition: none 0s ease 0s; vertical-align: 0px;">=</span><span class="mn" id="MathJax-Span-721" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.303em; position: static; transition: none 0s ease 0s; vertical-align: 0px;">0.875</span></span><span style="border: 0px; box-sizing: border-box; display: inline-block; height: 2.285em; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 0px;"></span></span></span><span face=""Source Sans Pro", Calibri, Candara, Arial, sans-serif" style="background-color: white; border-bottom-style: initial; border-color: initial; border-image: initial; border-left-style: solid; border-right-style: initial; border-top-style: initial; border-width: 0px; box-sizing: border-box; color: #333333; display: inline-block; font-size: 15px; height: 2.87em; line-height: normal; margin: 0px; overflow: hidden; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: -1.13em; white-space: nowrap; width: 0px;"></span></div><div><span face=""Source Sans Pro", Calibri, Candara, Arial, sans-serif" style="background-color: white; border: 0px; box-sizing: border-box; color: #333333; display: inline-block; font-size: 16.65px; height: 0px; line-height: normal; margin: 0px; padding: 0px; position: relative; transition: none 0s ease 0s; vertical-align: 0px; white-space: nowrap; width: 25.048em;"><span style="border: 0px; box-sizing: border-box; clip: rect(0.604em, 1025.05em, 3.426em, -999.997em); left: 0em; line-height: normal; margin: 0px; padding: 0px; position: absolute; top: -2.279em; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mrow" id="MathJax-Span-723" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-724" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">l</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-725" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">i</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-726" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">f<span style="border: 0px; box-sizing: border-box; display: inline-block; height: 1px; line-height: normal; margin: 0px; overflow: hidden; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 0.063em;"></span></span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-727" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">t</span><span class="mo" id="MathJax-Span-728" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">(</span><span class="mo" id="MathJax-Span-729" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">{</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-730" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">T<span style="border: 0px; box-sizing: border-box; display: inline-block; height: 1px; line-height: normal; margin: 0px; overflow: hidden; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 0.123em;"></span></span><span class="mtext" id="MathJax-Span-731" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">-</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-732" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">s</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-733" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">h</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-734" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">i</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-735" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">r</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-736" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">t</span><span class="mo" id="MathJax-Span-737" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">,</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-738" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.183em; position: static; transition: none 0s ease 0s; vertical-align: 0px;">T<span style="border: 0px; box-sizing: border-box; display: inline-block; height: 1px; line-height: normal; margin: 0px; overflow: hidden; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 0.123em;"></span></span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-739" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">r</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-740" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">o</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-741" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">u</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-742" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">s</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-743" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">e</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-744" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">r</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-745" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">s</span><span class="mo" id="MathJax-Span-746" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">}</span><span class="mo" id="MathJax-Span-747" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.303em; position: static; transition: none 0s ease 0s; vertical-align: 0px;">⇒</span><span class="mo" id="MathJax-Span-748" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.303em; position: static; transition: none 0s ease 0s; vertical-align: 0px;">{</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-749" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">B</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-750" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">e</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-751" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">l</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-752" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">t</span><span class="mo" id="MathJax-Span-753" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">}</span><span class="mo" id="MathJax-Span-754" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">)</span><span class="mo" id="MathJax-Span-755" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.303em; position: static; transition: none 0s ease 0s; vertical-align: 0px;">=</span><span class="mstyle" id="MathJax-Span-756" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.303em; position: static; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mrow" id="MathJax-Span-757" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mfrac" id="MathJax-Span-758" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;"><span style="border: 0px; box-sizing: border-box; display: inline-block; height: 0px; line-height: normal; margin: 0px 0.123em; padding: 0px; position: relative; transition: none 0s ease 0s; vertical-align: 0px; width: 4.688em;"><span style="border: 0px; box-sizing: border-box; clip: rect(3.126em, 1001.5em, 4.447em, -999.997em); left: 39.0208px; line-height: normal; margin: 0px 0px 0px -0.718em; padding: 0px; position: absolute; top: -4.742em; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mrow" id="MathJax-Span-759" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mn" id="MathJax-Span-760" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">2</span><span class="texatom" id="MathJax-Span-761" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mrow" id="MathJax-Span-762" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mo" id="MathJax-Span-763" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">/</span></span></span><span class="mn" id="MathJax-Span-764" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">7</span></span><span style="border: 0px; box-sizing: border-box; display: inline-block; height: 4.027em; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 0px;"></span></span><span style="border: 0px; box-sizing: border-box; clip: rect(3.126em, 1004.45em, 4.447em, -999.997em); left: 39.0208px; line-height: normal; margin: 0px 0px 0px -2.279em; padding: 0px; position: absolute; top: -3.3em; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mrow" id="MathJax-Span-765" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mo" id="MathJax-Span-766" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">(</span><span class="mn" id="MathJax-Span-767" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">3</span><span class="texatom" id="MathJax-Span-768" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mrow" id="MathJax-Span-769" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mo" id="MathJax-Span-770" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">/</span></span></span><span class="mn" id="MathJax-Span-771" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">7</span><span class="mo" id="MathJax-Span-772" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">)</span><span class="mo" id="MathJax-Span-773" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">(</span><span class="mn" id="MathJax-Span-774" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">4</span><span class="texatom" id="MathJax-Span-775" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mrow" id="MathJax-Span-776" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mo" id="MathJax-Span-777" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">/</span></span></span><span class="mn" id="MathJax-Span-778" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">7</span><span class="mo" id="MathJax-Span-779" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">)</span></span><span style="border: 0px; box-sizing: border-box; display: inline-block; height: 4.027em; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 0px;"></span></span><span style="border: 0px; box-sizing: border-box; clip: rect(0.844em, 1004.69em, 1.264em, -999.997em); left: 0em; line-height: normal; margin: 0px; padding: 0px; position: absolute; top: -1.318em; transition: none 0s ease 0s; vertical-align: 0px;"><span style="border-bottom-style: initial; border-color: initial; border-image: initial; border-left-style: initial; border-right-style: initial; border-top-style: solid; border-width: 1.3px 0px 0px; box-sizing: border-box; display: inline-block; height: 0px; line-height: normal; margin: 0px; overflow: hidden; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0em; width: 4.688em;"></span><span style="border: 0px; box-sizing: border-box; display: inline-block; height: 1.084em; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 0px;"></span></span></span></span></span></span><span class="mo" id="MathJax-Span-780" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.303em; position: static; transition: none 0s ease 0s; vertical-align: 0px;">=</span><span class="mn" id="MathJax-Span-781" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.303em; position: static; transition: none 0s ease 0s; vertical-align: 0px;">1.17</span></span><span style="border: 0px; box-sizing: border-box; display: inline-block; height: 2.285em; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 0px;"></span></span></span><span face=""Source Sans Pro", Calibri, Candara, Arial, sans-serif" style="background-color: white; border-bottom-style: initial; border-color: initial; border-image: initial; border-left-style: solid; border-right-style: initial; border-top-style: initial; border-width: 0px; box-sizing: border-box; color: #333333; display: inline-block; font-size: 15px; height: 2.87em; line-height: normal; margin: 0px; overflow: hidden; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: -1.13em; white-space: nowrap; width: 0px;"></span></div><div><br /></div><div><div><b><span style="font-size: medium;">2.4 Conviction</span></b></div><div><br /></div><div>Conviction suatu aturan/rule didefinisikan sebagai</div></div><div>`</div><div><span face=""Source Sans Pro", Calibri, Candara, Arial, sans-serif" style="background-color: white; border: 0px; box-sizing: border-box; color: #333333; display: inline-block; font-size: 16.65px; height: 0px; line-height: normal; margin: 0px; padding: 0px; position: relative; text-align: center; transition: none 0s ease 0s; vertical-align: 0px; white-space: nowrap; width: 15.559em;"><span style="border: 0px; box-sizing: border-box; clip: rect(0.604em, 1015.56em, 3.426em, -999.997em); left: 0em; line-height: normal; margin: 0px; padding: 0px; position: absolute; top: -2.279em; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mrow" id="MathJax-Span-783" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-784" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">c</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-785" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">o</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-786" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">n</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-787" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">v</span><span class="mo" id="MathJax-Span-788" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">(</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-789" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">X<span style="border: 0px; box-sizing: border-box; display: inline-block; height: 1px; line-height: normal; margin: 0px; overflow: hidden; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 0.003em;"></span></span><span class="mo" id="MathJax-Span-790" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.303em; position: static; transition: none 0s ease 0s; vertical-align: 0px;">⇒</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-791" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.303em; position: static; transition: none 0s ease 0s; vertical-align: 0px;">Y<span style="border: 0px; box-sizing: border-box; display: inline-block; height: 1px; line-height: normal; margin: 0px; overflow: hidden; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 0.183em;"></span></span><span class="mo" id="MathJax-Span-792" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">)</span><span class="mo" id="MathJax-Span-793" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.303em; position: static; transition: none 0s ease 0s; vertical-align: 0px;">=</span><span class="mstyle" id="MathJax-Span-794" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.303em; position: static; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mrow" id="MathJax-Span-795" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mfrac" id="MathJax-Span-796" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;"><span style="border: 0px; box-sizing: border-box; display: inline-block; height: 0px; line-height: normal; margin: 0px 0.123em; padding: 0px; position: relative; transition: none 0s ease 0s; vertical-align: 0px; width: 7.931em;"><span style="border: 0px; box-sizing: border-box; clip: rect(3.126em, 1005.29em, 4.447em, -999.997em); left: 66.0208px; line-height: normal; margin: 0px 0px 0px -2.7em; padding: 0px; position: absolute; top: -4.742em; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mrow" id="MathJax-Span-797" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mn" id="MathJax-Span-798" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">1</span><span class="mo" id="MathJax-Span-799" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.243em; position: static; transition: none 0s ease 0s; vertical-align: 0px;">−</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-800" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.243em; position: static; transition: none 0s ease 0s; vertical-align: 0px;">s</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-801" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">u</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-802" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">p</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-803" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">p</span><span class="mo" id="MathJax-Span-804" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">(</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-805" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">Y<span style="border: 0px; box-sizing: border-box; display: inline-block; height: 1px; line-height: normal; margin: 0px; overflow: hidden; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 0.183em;"></span></span><span class="mo" id="MathJax-Span-806" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">)</span></span><span style="border: 0px; box-sizing: border-box; display: inline-block; height: 4.027em; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 0px;"></span></span><span style="border: 0px; box-sizing: border-box; clip: rect(3.126em, 1007.75em, 4.447em, -999.997em); left: 66.0208px; line-height: normal; margin: 0px 0px 0px -3.901em; padding: 0px; position: absolute; top: -3.3em; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mrow" id="MathJax-Span-807" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mn" id="MathJax-Span-808" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">1</span><span class="mo" id="MathJax-Span-809" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.243em; position: static; transition: none 0s ease 0s; vertical-align: 0px;">−</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-810" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.243em; position: static; transition: none 0s ease 0s; vertical-align: 0px;">c</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-811" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">o</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-812" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">n</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-813" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">f<span style="border: 0px; box-sizing: border-box; display: inline-block; height: 1px; line-height: normal; margin: 0px; overflow: hidden; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 0.063em;"></span></span><span class="mo" id="MathJax-Span-814" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">(</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-815" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">X<span style="border: 0px; box-sizing: border-box; display: inline-block; height: 1px; line-height: normal; margin: 0px; overflow: hidden; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 0.003em;"></span></span><span class="mo" id="MathJax-Span-816" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.303em; position: static; transition: none 0s ease 0s; vertical-align: 0px;">⇒</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-817" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.303em; position: static; transition: none 0s ease 0s; vertical-align: 0px;">Y<span style="border: 0px; box-sizing: border-box; display: inline-block; height: 1px; line-height: normal; margin: 0px; overflow: hidden; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 0.183em;"></span></span><span class="mo" id="MathJax-Span-818" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">)</span></span><span style="border: 0px; box-sizing: border-box; display: inline-block; height: 4.027em; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 0px;"></span></span><span style="border: 0px; box-sizing: border-box; clip: rect(0.844em, 1007.93em, 1.264em, -999.997em); left: 0em; line-height: normal; margin: 0px; padding: 0px; position: absolute; top: -1.318em; transition: none 0s ease 0s; vertical-align: 0px;"><span style="border-bottom-style: initial; border-color: initial; border-image: initial; border-left-style: initial; border-right-style: initial; border-top-style: solid; border-width: 1.3px 0px 0px; box-sizing: border-box; display: inline-block; height: 0px; line-height: normal; margin: 0px; overflow: hidden; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0em; width: 7.931em;"></span><span style="border: 0px; box-sizing: border-box; display: inline-block; height: 1.084em; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 0px;"></span></span></span></span></span></span></span><span style="border: 0px; box-sizing: border-box; display: inline-block; height: 2.285em; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 0px;"></span></span></span><span face=""Source Sans Pro", Calibri, Candara, Arial, sans-serif" style="background-color: white; border-bottom-style: initial; border-color: initial; border-image: initial; border-left-style: solid; border-right-style: initial; border-top-style: initial; border-width: 0px; box-sizing: border-box; color: #333333; display: inline-block; font-size: 15px; height: 2.87em; line-height: normal; margin: 0px; overflow: hidden; padding: 0px; position: static; text-align: center; transition: none 0s ease 0s; vertical-align: -1.13em; white-space: nowrap; width: 0px;"></span></div><div><br /></div><div>Hal ini dapat diartikan sebagai rasio frekuensi yang diharapkan bahwa X terjadi tanpa Y jika X dan Y independen dibagi dengan frekuensi pengamatan yang salah prediksi. Nilai yang tinggi berarti konsekuensinya sangat bergantung pada anteseden. Mari kita lihat beberapa contohnya:</div><div><br /></div><div><span face=""Source Sans Pro", Calibri, Candara, Arial, sans-serif" style="background-color: white; border: 0px; box-sizing: border-box; color: #333333; display: inline-block; font-size: 16.65px; height: 0px; line-height: normal; margin: 0px; padding: 0px; position: relative; transition: none 0s ease 0s; vertical-align: 0px; white-space: nowrap; width: 19.883em;"><span style="border: 0px; box-sizing: border-box; clip: rect(0.604em, 1019.88em, 3.426em, -999.997em); left: 0em; line-height: normal; margin: 0px; padding: 0px; position: absolute; top: -2.279em; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mrow" id="MathJax-Span-832" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-833" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">c</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-834" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">o</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-835" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">n</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-836" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">v</span><span class="mo" id="MathJax-Span-837" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">(</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-838" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">T<span style="border: 0px; box-sizing: border-box; display: inline-block; height: 1px; line-height: normal; margin: 0px; overflow: hidden; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 0.123em;"></span></span><span class="mtext" id="MathJax-Span-839" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">-</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-840" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">s</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-841" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">h</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-842" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">i</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-843" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">r</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-844" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">t</span><span class="mo" id="MathJax-Span-845" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.303em; position: static; transition: none 0s ease 0s; vertical-align: 0px;">⇒</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-846" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.303em; position: static; transition: none 0s ease 0s; vertical-align: 0px;">T<span style="border: 0px; box-sizing: border-box; display: inline-block; height: 1px; line-height: normal; margin: 0px; overflow: hidden; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 0.123em;"></span></span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-847" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">r</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-848" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">o</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-849" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">u</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-850" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">s</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-851" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">e</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-852" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">r</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-853" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">s</span><span class="mo" id="MathJax-Span-854" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">)</span><span class="mo" id="MathJax-Span-855" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.303em; position: static; transition: none 0s ease 0s; vertical-align: 0px;">=</span><span class="mstyle" id="MathJax-Span-856" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.303em; position: static; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mrow" id="MathJax-Span-857" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mfrac" id="MathJax-Span-858" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;"><span style="border: 0px; box-sizing: border-box; display: inline-block; height: 0px; line-height: normal; margin: 0px 0.123em; padding: 0px; position: relative; transition: none 0s ease 0s; vertical-align: 0px; width: 3.366em;"><span style="border: 0px; box-sizing: border-box; clip: rect(3.126em, 1003.25em, 4.447em, -999.997em); left: 28.0208px; line-height: normal; margin: 0px 0px 0px -1.619em; padding: 0px; position: absolute; top: -4.742em; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mrow" id="MathJax-Span-859" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mn" id="MathJax-Span-860" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">1</span><span class="mo" id="MathJax-Span-861" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.243em; position: static; transition: none 0s ease 0s; vertical-align: 0px;">−</span><span class="mn" id="MathJax-Span-862" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.243em; position: static; transition: none 0s ease 0s; vertical-align: 0px;">5</span><span class="texatom" id="MathJax-Span-863" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mrow" id="MathJax-Span-864" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mo" id="MathJax-Span-865" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">/</span></span></span><span class="mn" id="MathJax-Span-866" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">7</span></span><span style="border: 0px; box-sizing: border-box; display: inline-block; height: 4.027em; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 0px;"></span></span><span style="border: 0px; box-sizing: border-box; clip: rect(3.126em, 1003.25em, 4.447em, -999.997em); left: 28.0208px; line-height: normal; margin: 0px 0px 0px -1.619em; padding: 0px; position: absolute; top: -3.3em; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mrow" id="MathJax-Span-867" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mn" id="MathJax-Span-868" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">1</span><span class="mo" id="MathJax-Span-869" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.243em; position: static; transition: none 0s ease 0s; vertical-align: 0px;">−</span><span class="mn" id="MathJax-Span-870" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.243em; position: static; transition: none 0s ease 0s; vertical-align: 0px;">3</span><span class="texatom" id="MathJax-Span-871" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mrow" id="MathJax-Span-872" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mo" id="MathJax-Span-873" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">/</span></span></span><span class="mn" id="MathJax-Span-874" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">4</span></span><span style="border: 0px; box-sizing: border-box; display: inline-block; height: 4.027em; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 0px;"></span></span><span style="border: 0px; box-sizing: border-box; clip: rect(0.844em, 1003.37em, 1.264em, -999.997em); left: 0em; line-height: normal; margin: 0px; padding: 0px; position: absolute; top: -1.318em; transition: none 0s ease 0s; vertical-align: 0px;"><span style="border-bottom-style: initial; border-color: initial; border-image: initial; border-left-style: initial; border-right-style: initial; border-top-style: solid; border-width: 1.3px 0px 0px; box-sizing: border-box; display: inline-block; height: 0px; line-height: normal; margin: 0px; overflow: hidden; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0em; width: 3.366em;"></span><span style="border: 0px; box-sizing: border-box; display: inline-block; height: 1.084em; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 0px;"></span></span></span></span></span></span><span class="mo" id="MathJax-Span-875" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.303em; position: static; transition: none 0s ease 0s; vertical-align: 0px;">=</span><span class="mn" id="MathJax-Span-876" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.303em; position: static; transition: none 0s ease 0s; vertical-align: 0px;">1.14</span></span><span style="border: 0px; box-sizing: border-box; display: inline-block; height: 2.285em; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 0px;"></span></span></span><span face=""Source Sans Pro", Calibri, Candara, Arial, sans-serif" style="background-color: white; border-bottom-style: initial; border-color: initial; border-image: initial; border-left-style: solid; border-right-style: initial; border-top-style: initial; border-width: 0px; box-sizing: border-box; color: #333333; display: inline-block; font-size: 15px; height: 2.87em; line-height: normal; margin: 0px; overflow: hidden; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: -1.13em; white-space: nowrap; width: 0px;"></span></div><div><span face=""Source Sans Pro", Calibri, Candara, Arial, sans-serif" style="background-color: white; border: 0px; box-sizing: border-box; color: #333333; display: inline-block; font-size: 16.65px; height: 0px; line-height: normal; margin: 0px; padding: 0px; position: relative; transition: none 0s ease 0s; vertical-align: 0px; white-space: nowrap; width: 18.502em;"><span style="border: 0px; box-sizing: border-box; clip: rect(0.604em, 1018.5em, 3.426em, -999.997em); left: 0em; line-height: normal; margin: 0px; padding: 0px; position: absolute; top: -2.279em; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mrow" id="MathJax-Span-878" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-880" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">co</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-881" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">n</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-882" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">v</span><span class="mo" id="MathJax-Span-883" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">(</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-884" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">T<span style="border: 0px; box-sizing: border-box; display: inline-block; height: 1px; line-height: normal; margin: 0px; overflow: hidden; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 0.123em;"></span></span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-885" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">r</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-886" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">o</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-887" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">u</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-888" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">s</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-889" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">e</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-890" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">r</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-891" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">s</span><span class="mo" id="MathJax-Span-892" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.303em; position: static; transition: none 0s ease 0s; vertical-align: 0px;">⇒</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-893" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.303em; position: static; transition: none 0s ease 0s; vertical-align: 0px;">B</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-894" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">e</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-895" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">l</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-896" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">t</span><span class="mo" id="MathJax-Span-897" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">)</span><span class="mo" id="MathJax-Span-898" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.303em; position: static; transition: none 0s ease 0s; vertical-align: 0px;">=</span><span class="mstyle" id="MathJax-Span-899" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.303em; position: static; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mrow" id="MathJax-Span-900" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mfrac" id="MathJax-Span-901" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;"><span style="border: 0px; box-sizing: border-box; display: inline-block; height: 0px; line-height: normal; margin: 0px 0.123em; padding: 0px; position: relative; transition: none 0s ease 0s; vertical-align: 0px; width: 3.366em;"><span style="border: 0px; box-sizing: border-box; clip: rect(3.126em, 1003.25em, 4.447em, -999.997em); left: 28.0208px; line-height: normal; margin: 0px 0px 0px -1.619em; padding: 0px; position: absolute; top: -4.742em; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mrow" id="MathJax-Span-902" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mn" id="MathJax-Span-903" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">1</span><span class="mo" id="MathJax-Span-904" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.243em; position: static; transition: none 0s ease 0s; vertical-align: 0px;">−</span><span class="mn" id="MathJax-Span-905" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.243em; position: static; transition: none 0s ease 0s; vertical-align: 0px;">4</span><span class="texatom" id="MathJax-Span-906" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mrow" id="MathJax-Span-907" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mo" id="MathJax-Span-908" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">/</span></span></span><span class="mn" id="MathJax-Span-909" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">7</span></span><span style="border: 0px; box-sizing: border-box; display: inline-block; height: 4.027em; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 0px;"></span></span><span style="border: 0px; box-sizing: border-box; clip: rect(3.126em, 1003.19em, 4.447em, -999.997em); left: 28.0208px; line-height: normal; margin: 0px 0px 0px -1.619em; padding: 0px; position: absolute; top: -3.3em; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mrow" id="MathJax-Span-910" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mn" id="MathJax-Span-911" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">1</span><span class="mo" id="MathJax-Span-912" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.243em; position: static; transition: none 0s ease 0s; vertical-align: 0px;">−</span><span class="mn" id="MathJax-Span-913" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.243em; position: static; transition: none 0s ease 0s; vertical-align: 0px;">4</span><span class="texatom" id="MathJax-Span-914" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mrow" id="MathJax-Span-915" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mo" id="MathJax-Span-916" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">/</span></span></span><span class="mn" id="MathJax-Span-917" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">5</span></span><span style="border: 0px; box-sizing: border-box; display: inline-block; height: 4.027em; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 0px;"></span></span><span style="border: 0px; box-sizing: border-box; clip: rect(0.844em, 1003.37em, 1.264em, -999.997em); left: 0em; line-height: normal; margin: 0px; padding: 0px; position: absolute; top: -1.318em; transition: none 0s ease 0s; vertical-align: 0px;"><span style="border-bottom-style: initial; border-color: initial; border-image: initial; border-left-style: initial; border-right-style: initial; border-top-style: solid; border-width: 1.3px 0px 0px; box-sizing: border-box; display: inline-block; height: 0px; line-height: normal; margin: 0px; overflow: hidden; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0em; width: 3.366em;"></span><span style="border: 0px; box-sizing: border-box; display: inline-block; height: 1.084em; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 0px;"></span></span></span></span></span></span><span class="mo" id="MathJax-Span-918" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.303em; position: static; transition: none 0s ease 0s; vertical-align: 0px;">=</span><span class="mn" id="MathJax-Span-919" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.303em; position: static; transition: none 0s ease 0s; vertical-align: 0px;">2.14</span></span><span style="border: 0px; box-sizing: border-box; display: inline-block; height: 2.285em; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 0px;"></span></span></span><span face=""Source Sans Pro", Calibri, Candara, Arial, sans-serif" style="background-color: white; border-bottom-style: initial; border-color: initial; border-image: initial; border-left-style: solid; border-right-style: initial; border-top-style: initial; border-width: 0px; box-sizing: border-box; color: #333333; display: inline-block; font-size: 15px; height: 2.87em; line-height: normal; margin: 0px; overflow: hidden; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: -1.13em; white-space: nowrap; width: 0px;"></span></div><div><span face=""Source Sans Pro", Calibri, Candara, Arial, sans-serif" style="background-color: white; border: 0px; box-sizing: border-box; color: #333333; display: inline-block; font-size: 16.65px; height: 0px; line-height: normal; margin: 0px; padding: 0px; position: relative; transition: none 0s ease 0s; vertical-align: 0px; white-space: nowrap; width: 17.661em;"><span style="border: 0px; box-sizing: border-box; clip: rect(0.604em, 1017.6em, 3.426em, -999.997em); left: 0em; line-height: normal; margin: 0px; padding: 0px; position: absolute; top: -2.279em; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mrow" id="MathJax-Span-921" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-922" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">c</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-923" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">o</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-924" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">n</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-925" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">v</span><span class="mo" id="MathJax-Span-926" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">(</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-927" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">T<span style="border: 0px; box-sizing: border-box; display: inline-block; height: 1px; line-height: normal; margin: 0px; overflow: hidden; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 0.123em;"></span></span><span class="mtext" id="MathJax-Span-928" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">-</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-929" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">s</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-930" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">h</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-931" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">i</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-932" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">r</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-933" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">t</span><span class="mo" id="MathJax-Span-934" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.303em; position: static; transition: none 0s ease 0s; vertical-align: 0px;">⇒</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-935" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.303em; position: static; transition: none 0s ease 0s; vertical-align: 0px;">B</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-936" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">e</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-937" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">l</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-938" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">t</span><span class="mo" id="MathJax-Span-939" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">)</span><span class="mo" id="MathJax-Span-940" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.303em; position: static; transition: none 0s ease 0s; vertical-align: 0px;">=</span><span class="mstyle" id="MathJax-Span-941" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.303em; position: static; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mrow" id="MathJax-Span-942" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mfrac" id="MathJax-Span-943" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;"><span style="border: 0px; box-sizing: border-box; display: inline-block; height: 0px; line-height: normal; margin: 0px 0.123em; padding: 0px; position: relative; transition: none 0s ease 0s; vertical-align: 0px; width: 3.366em;"><span style="border: 0px; box-sizing: border-box; clip: rect(3.126em, 1003.25em, 4.447em, -999.997em); left: 28.0208px; line-height: normal; margin: 0px 0px 0px -1.619em; padding: 0px; position: absolute; top: -4.742em; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mrow" id="MathJax-Span-944" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mn" id="MathJax-Span-945" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">1</span><span class="mo" id="MathJax-Span-946" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.243em; position: static; transition: none 0s ease 0s; vertical-align: 0px;">−</span><span class="mn" id="MathJax-Span-947" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.243em; position: static; transition: none 0s ease 0s; vertical-align: 0px;">4</span><span class="texatom" id="MathJax-Span-948" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mrow" id="MathJax-Span-949" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mo" id="MathJax-Span-950" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">/</span></span></span><span class="mn" id="MathJax-Span-951" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">7</span></span><span style="border: 0px; box-sizing: border-box; display: inline-block; height: 4.027em; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 0px;"></span></span><span style="border: 0px; box-sizing: border-box; clip: rect(3.126em, 1003.19em, 4.447em, -999.997em); left: 28.0208px; line-height: normal; margin: 0px 0px 0px -1.619em; padding: 0px; position: absolute; top: -3.3em; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mrow" id="MathJax-Span-952" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mn" id="MathJax-Span-953" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">1</span><span class="mo" id="MathJax-Span-954" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.243em; position: static; transition: none 0s ease 0s; vertical-align: 0px;">−</span><span class="mn" id="MathJax-Span-955" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.243em; position: static; transition: none 0s ease 0s; vertical-align: 0px;">1</span><span class="texatom" id="MathJax-Span-956" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mrow" id="MathJax-Span-957" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mo" id="MathJax-Span-958" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">/</span></span></span><span class="mn" id="MathJax-Span-959" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">2</span></span><span style="border: 0px; box-sizing: border-box; display: inline-block; height: 4.027em; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 0px;"></span></span><span style="border: 0px; box-sizing: border-box; clip: rect(0.844em, 1003.37em, 1.264em, -999.997em); left: 0em; line-height: normal; margin: 0px; padding: 0px; position: absolute; top: -1.318em; transition: none 0s ease 0s; vertical-align: 0px;"><span style="border-bottom-style: initial; border-color: initial; border-image: initial; border-left-style: initial; border-right-style: initial; border-top-style: solid; border-width: 1.3px 0px 0px; box-sizing: border-box; display: inline-block; height: 0px; line-height: normal; margin: 0px; overflow: hidden; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0em; width: 3.366em;"></span><span style="border: 0px; box-sizing: border-box; display: inline-block; height: 1.084em; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 0px;"></span></span></span></span></span></span><span class="mo" id="MathJax-Span-960" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.303em; position: static; transition: none 0s ease 0s; vertical-align: 0px;">=</span><span class="mn" id="MathJax-Span-961" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.303em; position: static; transition: none 0s ease 0s; vertical-align: 0px;">0.86</span></span><span style="border: 0px; box-sizing: border-box; display: inline-block; height: 2.285em; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 0px;"></span></span></span><span face=""Source Sans Pro", Calibri, Candara, Arial, sans-serif" style="background-color: white; border-bottom-style: initial; border-color: initial; border-image: initial; border-left-style: solid; border-right-style: initial; border-top-style: initial; border-width: 0px; box-sizing: border-box; color: #333333; display: inline-block; font-size: 15px; height: 2.87em; line-height: normal; margin: 0px; overflow: hidden; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: -1.13em; white-space: nowrap; width: 0px;"></span></div><div><span face=""Source Sans Pro", Calibri, Candara, Arial, sans-serif" style="background-color: white; border: 0px; box-sizing: border-box; color: #333333; display: inline-block; font-size: 16.65px; height: 0px; line-height: normal; margin: 0px; padding: 0px; position: relative; transition: none 0s ease 0s; vertical-align: 0px; white-space: nowrap; width: 24.207em;"><span style="border: 0px; box-sizing: border-box; clip: rect(0.604em, 1024.15em, 3.426em, -999.997em); left: 0em; line-height: normal; margin: 0px; padding: 0px; position: absolute; top: -2.279em; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mrow" id="MathJax-Span-963" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-964" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">c</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-965" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">o</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-966" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">n</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-967" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">v</span><span class="mo" id="MathJax-Span-968" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">(</span><span class="mo" id="MathJax-Span-969" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">{</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-970" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">T<span style="border: 0px; box-sizing: border-box; display: inline-block; height: 1px; line-height: normal; margin: 0px; overflow: hidden; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 0.123em;"></span></span><span class="mtext" id="MathJax-Span-971" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">-</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-972" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">s</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-973" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">h</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-974" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">i</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-975" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">r</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-976" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">t</span><span class="mo" id="MathJax-Span-977" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">,</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-978" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.183em; position: static; transition: none 0s ease 0s; vertical-align: 0px;">T<span style="border: 0px; box-sizing: border-box; display: inline-block; height: 1px; line-height: normal; margin: 0px; overflow: hidden; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 0.123em;"></span></span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-979" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">r</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-980" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">o</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-981" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">u</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-982" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">s</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-983" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">e</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-984" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">r</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-985" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">s</span><span class="mo" id="MathJax-Span-986" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">}</span><span class="mo" id="MathJax-Span-987" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.303em; position: static; transition: none 0s ease 0s; vertical-align: 0px;">⇒</span><span class="mo" id="MathJax-Span-988" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.303em; position: static; transition: none 0s ease 0s; vertical-align: 0px;">{</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-989" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">B</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-990" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">e</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-991" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">l</span><span class="mi" face="MathJax_Math-italic" id="MathJax-Span-992" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">t</span><span class="mo" id="MathJax-Span-993" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">}</span><span class="mo" id="MathJax-Span-994" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">)</span><span class="mo" id="MathJax-Span-995" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.303em; position: static; transition: none 0s ease 0s; vertical-align: 0px;">=</span><span class="mstyle" id="MathJax-Span-996" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.303em; position: static; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mrow" id="MathJax-Span-997" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mfrac" id="MathJax-Span-998" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;"><span style="border: 0px; box-sizing: border-box; display: inline-block; height: 0px; line-height: normal; margin: 0px 0.123em; padding: 0px; position: relative; transition: none 0s ease 0s; vertical-align: 0px; width: 3.366em;"><span style="border: 0px; box-sizing: border-box; clip: rect(3.126em, 1003.25em, 4.447em, -999.997em); left: 28.0208px; line-height: normal; margin: 0px 0px 0px -1.619em; padding: 0px; position: absolute; top: -4.742em; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mrow" id="MathJax-Span-999" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mn" id="MathJax-Span-1000" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">1</span><span class="mo" id="MathJax-Span-1001" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.243em; position: static; transition: none 0s ease 0s; vertical-align: 0px;">−</span><span class="mn" id="MathJax-Span-1002" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.243em; position: static; transition: none 0s ease 0s; vertical-align: 0px;">4</span><span class="texatom" id="MathJax-Span-1003" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mrow" id="MathJax-Span-1004" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mo" id="MathJax-Span-1005" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">/</span></span></span><span class="mn" id="MathJax-Span-1006" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">7</span></span><span style="border: 0px; box-sizing: border-box; display: inline-block; height: 4.027em; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 0px;"></span></span><span style="border: 0px; box-sizing: border-box; clip: rect(3.126em, 1003.25em, 4.447em, -999.997em); left: 28.0208px; line-height: normal; margin: 0px 0px 0px -1.619em; padding: 0px; position: absolute; top: -3.3em; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mrow" id="MathJax-Span-1007" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mn" id="MathJax-Span-1008" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">1</span><span class="mo" id="MathJax-Span-1009" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.243em; position: static; transition: none 0s ease 0s; vertical-align: 0px;">−</span><span class="mn" id="MathJax-Span-1010" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.243em; position: static; transition: none 0s ease 0s; vertical-align: 0px;">2</span><span class="texatom" id="MathJax-Span-1011" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mrow" id="MathJax-Span-1012" style="border: 0px; box-sizing: border-box; display: inline; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mo" id="MathJax-Span-1013" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">/</span></span></span><span class="mn" id="MathJax-Span-1014" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">3</span></span><span style="border: 0px; box-sizing: border-box; display: inline-block; height: 4.027em; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 0px;"></span></span><span style="border: 0px; box-sizing: border-box; clip: rect(0.844em, 1003.37em, 1.264em, -999.997em); left: 0em; line-height: normal; margin: 0px; padding: 0px; position: absolute; top: -1.318em; transition: none 0s ease 0s; vertical-align: 0px;"><span style="border-bottom-style: initial; border-color: initial; border-image: initial; border-left-style: initial; border-right-style: initial; border-top-style: solid; border-width: 1.3px 0px 0px; box-sizing: border-box; display: inline-block; height: 0px; line-height: normal; margin: 0px; overflow: hidden; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0em; width: 3.366em;"></span><span style="border: 0px; box-sizing: border-box; display: inline-block; height: 1.084em; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 0px;"></span></span></span></span></span></span><span class="mo" id="MathJax-Span-1015" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.303em; position: static; transition: none 0s ease 0s; vertical-align: 0px;">=</span><span class="mn" id="MathJax-Span-1016" style="border: 0px; box-sizing: border-box; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.303em; position: static; transition: none 0s ease 0s; vertical-align: 0px;">1.28</span></span><span style="border: 0px; box-sizing: border-box; display: inline-block; height: 2.285em; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 0px;"></span></span></span><span face=""Source Sans Pro", Calibri, Candara, Arial, sans-serif" style="background-color: white; border-bottom-style: initial; border-color: initial; border-image: initial; border-left-style: solid; border-right-style: initial; border-top-style: initial; border-width: 0px; box-sizing: border-box; color: #333333; display: inline-block; font-size: 15px; height: 2.87em; line-height: normal; margin: 0px; overflow: hidden; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: -1.13em; white-space: nowrap; width: 0px;"></span></div><div><br /></div><div><b><span style="font-size: large;">3 Loading Data</span></b></div><div><div>Pertama kita perlu memuat beberapa libraries dan import data kita. Kita bisa menggunakan fungsi read.transactions() dari library arules untuk membuat transactions object. Datanya bisa di download <a href="https://github.com/pujoseno/Market-Basket-Analysis" target="_blank">di sini</a></div></div><div><br /></div><div><div class="sourceCode" id="cb1" style="background-color: white; box-sizing: border-box; color: #333333; font-family: "Source Sans Pro", Calibri, Candara, Arial, sans-serif; font-size: 15px; margin: 1em 0px; overflow: auto;"><div aria-expanded="true" class="r-code-collapse collapse in" id="rcode-643E0F361" style="box-sizing: border-box;"><pre class="sourceCode r" style="background-color: #f8f8f8; border-radius: 0px; border: 1px solid rgb(204, 204, 204); box-sizing: border-box; font-size: 14px; line-height: 1.42857; margin-bottom: 0px; margin-top: 0px; overflow-wrap: break-word; overflow: auto visible; padding: 10px; word-break: break-all;"><code class="sourceCode r" style="background-color: transparent; border-radius: 0px; box-sizing: border-box; color: inherit; font-size: inherit; overflow: auto visible; padding: 0px; position: relative;"><a class="sourceLine" id="cb1-1" style="background-color: transparent; box-sizing: border-box; color: inherit; display: inline-block; line-height: 1.25; pointer-events: none; text-decoration: inherit;" title="1"><span class="co" style="box-sizing: border-box; color: #8f5902; font-style: italic;"># Load libraries</span></a>
<a class="sourceLine" id="cb1-2" style="background-color: transparent; box-sizing: border-box; color: inherit; display: inline-block; line-height: 1.25; pointer-events: none; text-decoration: inherit;" title="2"><span class="kw" style="box-sizing: border-box; color: #204a87; font-weight: bold;">library</span>(tidyverse) <span class="co" style="box-sizing: border-box; color: #8f5902; font-style: italic;"># data manipulation</span></a>
<a class="sourceLine" id="cb1-3" style="background-color: transparent; box-sizing: border-box; color: inherit; display: inline-block; line-height: 1.25; pointer-events: none; text-decoration: inherit;" title="3"><span class="kw" style="box-sizing: border-box; color: #204a87; font-weight: bold;">library</span>(arules) <span class="co" style="box-sizing: border-box; color: #8f5902; font-style: italic;"># mining association rules and frequent itemsets</span></a>
<a class="sourceLine" id="cb1-4" style="background-color: transparent; box-sizing: border-box; color: inherit; display: inline-block; line-height: 1.25; pointer-events: none; text-decoration: inherit;" title="4"><span class="kw" style="box-sizing: border-box; color: #204a87; font-weight: bold;">library</span>(arulesViz) <span class="co" style="box-sizing: border-box; color: #8f5902; font-style: italic;"># visualization techniques for association rules</span></a>
<a class="sourceLine" id="cb1-5" style="background-color: transparent; box-sizing: border-box; color: inherit; display: inline-block; line-height: 1.25; pointer-events: none; text-decoration: inherit;" title="5"><span class="kw" style="box-sizing: border-box; color: #204a87; font-weight: bold;">library</span>(knitr) <span class="co" style="box-sizing: border-box; color: #8f5902; font-style: italic;"># dynamic report generation</span></a>
<a class="sourceLine" id="cb1-6" style="background-color: transparent; box-sizing: border-box; color: inherit; display: inline-block; line-height: 1.25; pointer-events: none; text-decoration: inherit;" title="6"><span class="kw" style="box-sizing: border-box; color: #204a87; font-weight: bold;">library</span>(gridExtra) <span class="co" style="box-sizing: border-box; color: #8f5902; font-style: italic;"># provides a number of user-level functions to work with "grid" graphics</span></a>
<a class="sourceLine" id="cb1-7" style="background-color: transparent; box-sizing: border-box; color: inherit; display: inline-block; line-height: 1.25; pointer-events: none; text-decoration: inherit;" title="7"><span class="kw" style="box-sizing: border-box; color: #204a87; font-weight: bold;">library</span>(lubridate) <span class="co" style="box-sizing: border-box; color: #8f5902; font-style: italic;"># work with dates and times</span></a>
<a class="sourceLine" id="cb1-8" style="background-color: transparent; box-sizing: border-box; color: inherit; display: inline-block; height: 1.2em; line-height: 1.25; pointer-events: none; text-decoration: inherit;" title="8"></a>
<a class="sourceLine" id="cb1-9" style="background-color: transparent; box-sizing: border-box; color: inherit; display: inline-block; line-height: 1.25; pointer-events: none; text-decoration: inherit;" title="9"><span class="co" style="box-sizing: border-box; color: #8f5902; font-style: italic;"># Read the data</span></a>
trans <-<span class="st" style="box-sizing: border-box; color: #4e9a06;"> </span><span class="kw" style="box-sizing: border-box; color: #204a87; font-weight: bold;">read.transactions</span>(<span class="st" style="box-sizing: border-box; color: #4e9a06;">"BreadBasket_DMS.csv"</span>, <span class="dt" style="box-sizing: border-box; color: #204a87;">format=</span><span class="st" style="box-sizing: border-box; color: #4e9a06;">"single"</span>, <span class="dt" style="box-sizing: border-box; color: #204a87;">cols=</span><span class="kw" style="box-sizing: border-box; color: #204a87; font-weight: bold;">c</span>(<span class="dv" style="box-sizing: border-box; color: #0000cf;">3</span>,<span class="dv" style="box-sizing: border-box; color: #0000cf;">4</span>), <span class="dt" style="box-sizing: border-box; color: #204a87;">sep=</span><span class="st" style="box-sizing: border-box; color: #4e9a06;">","</span>, <span class="dt" style="box-sizing: border-box; color: #204a87;">rm.duplicates=</span><span class="ot" style="box-sizing: border-box; color: #8f5902;">TRUE</span>)</code></pre></div></div><p class="MsoNormal" style="margin-bottom: 0cm;"><b><span style="font-size: medium;">3.1 Transaction object</span></b><o:p></o:p></p><div class="section level1 tabset tabset-fade tabset-pills" id="loading-data" style="background-color: white; box-sizing: border-box; color: #333333; font-family: "Source Sans Pro", Calibri, Candara, Arial, sans-serif; font-size: 15px;"><div class="tab-content" style="box-sizing: border-box;"><div class="section level2 tab-pane tabbed-pane fade active in" id="transaction-object" role="tabpanel" style="box-sizing: border-box; opacity: 1; padding-top: 12px; transition: opacity 0.15s linear 0s;"><div class="sourceCode" id="cb2" style="box-sizing: border-box; margin: 1em 0px; overflow: auto;"><div aria-expanded="true" class="r-code-collapse collapse in" id="rcode-643E0F362" style="box-sizing: border-box;"><pre class="sourceCode r" style="background-color: #f8f8f8; border-radius: 0px; border: 1px solid rgb(204, 204, 204); box-sizing: border-box; font-size: 14px; line-height: 1.42857; margin-bottom: 0px; margin-top: 0px; overflow-wrap: break-word; overflow: auto visible; padding: 10px; word-break: break-all;"><code class="sourceCode r" style="background-color: transparent; border-radius: 0px; box-sizing: border-box; color: inherit; font-size: inherit; overflow: auto visible; padding: 0px; position: relative;"><a class="sourceLine" id="cb2-1" style="background-color: transparent; box-sizing: border-box; color: inherit; display: inline-block; line-height: 1.25; pointer-events: none; text-decoration: inherit;" title="1"><span class="co" style="box-sizing: border-box; color: #8f5902; font-style: italic;"># Transaction object</span></a>
<a class="sourceLine" id="cb2-2" style="background-color: transparent; box-sizing: border-box; color: inherit; display: inline-block; line-height: 1.25; pointer-events: none; text-decoration: inherit;" title="2">trans</a></code></pre></div></div><pre style="border-radius: 0px; border: 1px solid rgb(204, 204, 204); box-sizing: border-box; font-size: 14px; line-height: 1.42857; margin-bottom: 10.5px; margin-top: 0px; overflow-wrap: break-word; overflow: auto; padding: 10px; word-break: break-all;"><code style="background-color: transparent; border-radius: 0px; box-sizing: border-box; color: inherit; font-size: inherit; padding: 0px; white-space: pre-wrap;">## transactions in sparse format with
## 6614 transactions (rows) and
## 104 items (columns)</code></pre></div></div></div><div class="section level1" id="data-dictionary" style="background-color: white; box-sizing: border-box;"><h1 style="box-sizing: border-box; line-height: 1.1; margin: 21px 0px 10.5px;"><span class="header-section-number" style="box-sizing: border-box;"><span face="Source Sans Pro, Calibri, Candara, Arial, sans-serif" style="color: #333333; font-size: medium;">3.2 Summary</span></span></h1><h1 style="box-sizing: border-box; color: inherit; font-family: "Source Sans Pro", Calibri, Candara, Arial, sans-serif; font-size: 34px; font-weight: 300; line-height: 1.1; margin: 21px 0px 10.5px;"><span class="header-section-number" style="box-sizing: border-box;"><div class="sourceCode" id="cb4" style="box-sizing: border-box; font-size: 15px; margin: 1em 0px; overflow: auto;"><div aria-expanded="true" class="r-code-collapse collapse in" id="rcode-643E0F363" style="box-sizing: border-box;"><pre class="sourceCode r" style="background-color: #f8f8f8; border-radius: 0px; border: 1px solid rgb(204, 204, 204); box-sizing: border-box; font-size: 14px; line-height: 1.42857; margin-bottom: 0px; margin-top: 0px; overflow-wrap: break-word; overflow: auto visible; padding: 10px; word-break: break-all;"><code class="sourceCode r" style="background-color: transparent; border-radius: 0px; box-sizing: border-box; color: inherit; font-size: inherit; overflow: auto visible; padding: 0px; position: relative;"><a class="sourceLine" id="cb4-1" style="background-color: transparent; box-sizing: border-box; color: inherit; display: inline-block; line-height: 1.25; pointer-events: none; text-decoration: inherit;" title="1"><span class="co" style="box-sizing: border-box; color: #8f5902; font-style: italic;"># Summary</span></a>
<a class="sourceLine" id="cb4-2" style="background-color: transparent; box-sizing: border-box; color: inherit; display: inline-block; line-height: 1.25; pointer-events: none; text-decoration: inherit;" title="2"><span class="kw" style="box-sizing: border-box; color: #204a87; font-weight: bold;">summary</span>(trans)</a></code></pre></div></div><pre style="border-radius: 0px; border: 1px solid rgb(204, 204, 204); box-sizing: border-box; font-size: 14px; line-height: 1.42857; margin-bottom: 10.5px; margin-top: 0px; overflow-wrap: break-word; overflow: auto; padding: 10px; word-break: break-all;"><code style="background-color: transparent; border-radius: 0px; box-sizing: border-box; color: inherit; font-size: inherit; padding: 0px; white-space: pre-wrap;">## transactions as itemMatrix in sparse format with
## 6614 rows (elements/itemsets/transactions) and
## 104 columns (items) and a density of 0.02008705
##
## most frequent items:
## Coffee Bread Tea Cake Pastry (Other)
## 3188 2146 941 694 576 6272
##
## element (itemset/transaction) length distribution:
## sizes
## 1 2 3 4 5 6 7 8 9 10
## 2556 2154 1078 546 187 67 18 3 2 3
##
## Min. 1st Qu. Median Mean 3rd Qu. Max.
## 1.000 1.000 2.000 2.089 3.000 10.000
##
## includes extended item information - examples:
## labels
## 1 Adjustment
## 2 Afternoon with the baker
## 3 Alfajores
##
## includes extended transaction information - examples:
## transactionID
## 1 1
## 2 10
## 3 1000</code></pre></span></h1><h1 style="box-sizing: border-box; line-height: 1.1; margin: 21px 0px 10.5px;"><span class="header-section-number" style="box-sizing: border-box;"><span face="Source Sans Pro, Calibri, Candara, Arial, sans-serif" style="font-size: medium;">3.3 Structure</span></span></h1><div><span class="header-section-number" style="box-sizing: border-box;"><div class="sourceCode" id="cb8" style="box-sizing: border-box; color: #333333; font-family: "Source Sans Pro", Calibri, Candara, Arial, sans-serif; font-size: 15px; margin: 1em 0px; overflow: auto;"><div aria-expanded="true" class="r-code-collapse collapse in" id="rcode-643E0F365" style="box-sizing: border-box;"><pre class="sourceCode r" style="background-color: #f8f8f8; border-radius: 0px; border: 1px solid rgb(204, 204, 204); box-sizing: border-box; font-size: 14px; line-height: 1.42857; margin-bottom: 0px; margin-top: 0px; overflow-wrap: break-word; overflow: auto visible; padding: 10px; word-break: break-all;"><code class="sourceCode r" style="background-color: transparent; border-radius: 0px; box-sizing: border-box; color: inherit; font-size: inherit; overflow: auto visible; padding: 0px; position: relative;"><a class="sourceLine" id="cb8-1" style="background-color: transparent; box-sizing: border-box; color: inherit; display: inline-block; line-height: 1.25; pointer-events: none; text-decoration: inherit;" title="1"><span class="co" style="box-sizing: border-box; color: #8f5902; font-style: italic;"># Structure</span></a>
<a class="sourceLine" id="cb8-2" style="background-color: transparent; box-sizing: border-box; color: inherit; display: inline-block; line-height: 1.25; pointer-events: none; text-decoration: inherit;" title="2"><span class="kw" style="box-sizing: border-box; color: #204a87; font-weight: bold;">str</span>(trans)</a></code></pre></div></div><pre style="border-radius: 0px; border: 1px solid rgb(204, 204, 204); box-sizing: border-box; color: #333333; font-size: 14px; line-height: 1.42857; margin-bottom: 10.5px; margin-top: 0px; overflow-wrap: break-word; overflow: auto; padding: 10px; word-break: break-all;"><code style="background-color: transparent; border-radius: 0px; box-sizing: border-box; color: inherit; font-size: inherit; padding: 0px; white-space: pre-wrap;">## Formal class 'transactions' [package "arules"] with 3 slots
## ..@ data :Formal class 'ngCMatrix' [package "Matrix"] with 5 slots
## .. .. ..@ i : int [1:13817] 11 63 80 19 80 11 93 14 45 11 ...
## .. .. ..@ p : int [1:6615] 0 1 3 5 7 9 11 15 16 17 ...
## .. .. ..@ Dim : int [1:2] 104 6614
## .. .. ..@ Dimnames:List of 2
## .. .. .. ..$ : NULL
## .. .. .. ..$ : NULL
## .. .. ..@ factors : list()
## ..@ itemInfo :'data.frame': 104 obs. of 1 variable:
## .. ..$ labels: chr [1:104] "Adjustment" "Afternoon with the baker" "Alfajores" "Argentina Night" ...
## ..@ itemsetInfo:'data.frame': 6614 obs. of 1 variable:
## .. ..$ transactionID: chr [1:6614] "1" "10" "1000" "1001" ...</code></pre></span></div><h1 style="box-sizing: border-box; color: inherit; font-family: "Source Sans Pro", Calibri, Candara, Arial, sans-serif; line-height: 1.1; margin: 21px 0px 10.5px;"><span style="background-color: transparent;"><span style="font-size: large;">4. Data Dictionary</span></span></h1></div></div><div><div>Kumpulan data berisi 15.010 observasi dan kolom ,</div><div><ul style="text-align: left;"><li>Date. Variabel kategori yang memberi tahu kita tanggal transaksi (format YYYY-MM-DD). Kolom tersebut mencakup tanggal dari 30/10/2016 hingga 09/04/2017.</li><li>Time. Variabel kategorikal yang memberi tahu kita waktu transaksi (format HH: MM: SS).</li><li>Transaction Variabel kuantitatif yang memungkinkan kita untuk membedakan transaksi. Baris yang memiliki nilai yang sama di bidang ini milik transaksi yang sama, itulah mengapa kumpulan data memiliki lebih sedikit transaction daripada observation.</li><li>Item. Variabel kategori yang berisi produk.</li></ul></div></div><div><div><span style="font-size: large;"><b>5. Data Analysis</b></span></div><div><br /></div><div>Sebelum menerapkan algoritma Apriori pada kumpulan data, saya akan menunjukkan beberapa visualisasi untuk mempelajari lebih lanjut tentang transaksi. Misalnya, kita bisa menggunakan fungsi <b>itemFrequencyPlot()</b> untuk membuat plot bar frekuensi item, untuk melihat distribusi produk.</div></div><div><br /></div><div><div class="sourceCode" id="cb10" style="background-color: white; box-sizing: border-box; color: #333333; font-family: "Source Sans Pro", Calibri, Candara, Arial, sans-serif; font-size: 15px; margin: 1em 0px; overflow: auto;"><div aria-expanded="true" class="r-code-collapse collapse in" id="rcode-643E0F366" style="box-sizing: border-box;"><pre class="sourceCode r" style="background-color: #f8f8f8; border-radius: 0px; border: 1px solid rgb(204, 204, 204); box-sizing: border-box; font-size: 14px; line-height: 1.42857; margin-bottom: 0px; margin-top: 0px; overflow-wrap: break-word; overflow: auto visible; padding: 10px; word-break: break-all;"><code class="sourceCode r" style="background-color: transparent; border-radius: 0px; box-sizing: border-box; color: inherit; font-size: inherit; overflow: auto visible; padding: 0px; position: relative;"><a class="sourceLine" id="cb10-1" style="background-color: transparent; box-sizing: border-box; color: inherit; display: inline-block; line-height: 1.25; pointer-events: none; text-decoration: inherit;" title="1"><span class="co" style="box-sizing: border-box; color: #8f5902; font-style: italic;"># Absolute Item Frequency Plot</span></a>
<a class="sourceLine" id="cb10-2" style="background-color: transparent; box-sizing: border-box; color: inherit; display: inline-block; line-height: 1.25; pointer-events: none; text-decoration: inherit;" title="2"><span class="kw" style="box-sizing: border-box; color: #204a87; font-weight: bold;">itemFrequencyPlot</span>(trans, <span class="dt" style="box-sizing: border-box; color: #204a87;">topN=</span><span class="dv" style="box-sizing: border-box; color: #0000cf;">15</span>, <span class="dt" style="box-sizing: border-box; color: #204a87;">type=</span><span class="st" style="box-sizing: border-box; color: #4e9a06;">"absolute"</span>, <span class="dt" style="box-sizing: border-box; color: #204a87;">col=</span><span class="st" style="box-sizing: border-box; color: #4e9a06;">"wheat2"</span>,<span class="dt" style="box-sizing: border-box; color: #204a87;">xlab=</span><span class="st" style="box-sizing: border-box; color: #4e9a06;">"Item name"</span>, </a>
<a class="sourceLine" id="cb10-3" style="background-color: transparent; box-sizing: border-box; color: inherit; display: inline-block; line-height: 1.25; pointer-events: none; text-decoration: inherit;" title="3"> <span class="dt" style="box-sizing: border-box; color: #204a87;">ylab=</span><span class="st" style="box-sizing: border-box; color: #4e9a06;">"Frequency (absolute)"</span>, <span class="dt" style="box-sizing: border-box; color: #204a87;">main=</span><span class="st" style="box-sizing: border-box; color: #4e9a06;">"Absolute Item Frequency Plot"</span>)</a></code></pre></div></div><p style="background-color: white; box-sizing: border-box; color: #333333; font-family: "Source Sans Pro", Calibri, Candara, Arial, sans-serif; font-size: 15px; margin: 0px 0px 10.5px;"><img src="data:image/png;base64,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" style="border: 0px; box-sizing: border-box; display: block; margin: auto; max-width: 100%; vertical-align: middle;" width="672" /></p><p style="background-color: white; box-sizing: border-box; margin: 0px 0px 10.5px;"><span face="Source Sans Pro, Calibri, Candara, Arial, sans-serif" style="color: #333333;"><span style="font-size: 15px;"><b>itemFrequencyPlot ()</b> memungkinkan kita menampilkan nilai absolut atau relatif. Jika absolut itu akan memplot frekuensi numerik dari setiap item secara independen. Jika relatif, ini akan menunjukkan berapa kali item tersebut muncul dibandingkan dengan yang lain, seperti yang ditunjukkan pada plot berikut.</span></span></p><div class="sourceCode" id="cb11" style="background-color: white; box-sizing: border-box; color: #333333; font-family: "Source Sans Pro", Calibri, Candara, Arial, sans-serif; font-size: 15px; margin: 1em 0px; overflow: auto;"><div aria-expanded="true" class="r-code-collapse collapse in" id="rcode-643E0F367" style="box-sizing: border-box;"><pre class="sourceCode r" style="background-color: #f8f8f8; border-radius: 0px; border: 1px solid rgb(204, 204, 204); box-sizing: border-box; font-size: 14px; line-height: 1.42857; margin-bottom: 0px; margin-top: 0px; overflow-wrap: break-word; overflow: auto visible; padding: 10px; word-break: break-all;"><code class="sourceCode r" style="background-color: transparent; border-radius: 0px; box-sizing: border-box; color: inherit; font-size: inherit; overflow: auto visible; padding: 0px; position: relative;"><a class="sourceLine" id="cb11-1" style="background-color: transparent; box-sizing: border-box; color: inherit; display: inline-block; line-height: 1.25; pointer-events: none; text-decoration: inherit;" title="1"><span class="co" style="box-sizing: border-box; color: #8f5902; font-style: italic;"># Relative Item Frequency Plot</span></a>
<a class="sourceLine" id="cb11-2" style="background-color: transparent; box-sizing: border-box; color: inherit; display: inline-block; line-height: 1.25; pointer-events: none; text-decoration: inherit;" title="2"><span class="kw" style="box-sizing: border-box; color: #204a87; font-weight: bold;">itemFrequencyPlot</span>(trans, <span class="dt" style="box-sizing: border-box; color: #204a87;">topN=</span><span class="dv" style="box-sizing: border-box; color: #0000cf;">15</span>, <span class="dt" style="box-sizing: border-box; color: #204a87;">type=</span><span class="st" style="box-sizing: border-box; color: #4e9a06;">"relative"</span>, <span class="dt" style="box-sizing: border-box; color: #204a87;">col=</span><span class="st" style="box-sizing: border-box; color: #4e9a06;">"lightcyan2"</span>, <span class="dt" style="box-sizing: border-box; color: #204a87;">xlab=</span><span class="st" style="box-sizing: border-box; color: #4e9a06;">"Item name"</span>, </a>
<a class="sourceLine" id="cb11-3" style="background-color: transparent; box-sizing: border-box; color: inherit; display: inline-block; line-height: 1.25; pointer-events: none; text-decoration: inherit;" title="3"> <span class="dt" style="box-sizing: border-box; color: #204a87;">ylab=</span><span class="st" style="box-sizing: border-box; color: #4e9a06;">"Frequency (relative)"</span>, <span class="dt" style="box-sizing: border-box; color: #204a87;">main=</span><span class="st" style="box-sizing: border-box; color: #4e9a06;">"Relative Item Frequency Plot"</span>)</a></code></pre></div></div><p style="background-color: white; box-sizing: border-box; color: #333333; font-family: "Source Sans Pro", Calibri, Candara, Arial, sans-serif; font-size: 15px; margin: 0px 0px 10.5px;"><img 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" style="border: 0px; box-sizing: border-box; display: block; margin: auto; max-width: 100%; vertical-align: middle;" width="672" /></p><p style="background-color: white; box-sizing: border-box; margin: 0px 0px 10.5px;"><span face="Source Sans Pro, Calibri, Candara, Arial, sans-serif" style="color: #333333;"><span style="font-size: 15px;">Coffee adalah produk terlaris sejauh ini, diikuti oleh bread dan tea. Mari kita tampilkan beberapa visualisasi lain yang menjelaskan distribusi waktu menggunakan fungsi<b> ggplot ().</b></span></span></p><p style="background-color: white; box-sizing: border-box; margin: 0px 0px 10.5px;"><span face="Source Sans Pro, Calibri, Candara, Arial, sans-serif" style="color: #333333;"><span style="font-size: 15px;"><b>Transaksi per bulan</b></span></span></p><div><div class="sourceCode" id="cb12" style="background-color: white; box-sizing: border-box; color: #333333; font-family: "Source Sans Pro", Calibri, Candara, Arial, sans-serif; font-size: 15px; margin: 1em 0px; overflow: auto;"><div aria-expanded="true" class="r-code-collapse collapse in" id="rcode-643E0F368" style="box-sizing: border-box;"><pre class="sourceCode r" style="background-color: #f8f8f8; border-radius: 0px; border: 1px solid rgb(204, 204, 204); box-sizing: border-box; font-size: 14px; line-height: 1.42857; margin-bottom: 0px; margin-top: 0px; overflow-wrap: break-word; overflow: auto visible; padding: 10px; word-break: break-all;"><code class="sourceCode r" style="background-color: transparent; border-radius: 0px; box-sizing: border-box; color: inherit; font-size: inherit; overflow: auto visible; padding: 0px; position: relative;"><a class="sourceLine" id="cb12-1" style="background-color: transparent; box-sizing: border-box; color: inherit; display: inline-block; line-height: 1.25; pointer-events: none; text-decoration: inherit;" title="1"><span class="co" style="box-sizing: border-box; color: #8f5902; font-style: italic;"># Load data </span></a>
trans_csv <-<span class="st" style="box-sizing: border-box; color: #4e9a06;"> </span><span class="kw" style="box-sizing: border-box; color: #204a87; font-weight: bold;">read.csv</span>(<span class="st" style="box-sizing: border-box; color: #4e9a06;">"BreadBasket_DMS.csv"</span>)
<a class="sourceLine" id="cb12-3" style="background-color: transparent; box-sizing: border-box; color: inherit; display: inline-block; height: 1.2em; line-height: 1.25; pointer-events: none; text-decoration: inherit;" title="3"></a>
<a class="sourceLine" id="cb12-4" style="background-color: transparent; box-sizing: border-box; color: inherit; display: inline-block; line-height: 1.25; pointer-events: none; text-decoration: inherit;" title="4"><span class="co" style="box-sizing: border-box; color: #8f5902; font-style: italic;"># Visualization - Transactions per month</span></a>
<a class="sourceLine" id="cb12-5" style="background-color: transparent; box-sizing: border-box; color: inherit; display: inline-block; line-height: 1.25; pointer-events: none; text-decoration: inherit;" title="5">trans_csv <span class="op" style="box-sizing: border-box; color: #ce5c00; font-weight: bold;">%>%</span></a>
<a class="sourceLine" id="cb12-6" style="background-color: transparent; box-sizing: border-box; color: inherit; display: inline-block; line-height: 1.25; pointer-events: none; text-decoration: inherit;" title="6"><span class="st" style="box-sizing: border-box; color: #4e9a06;"> </span><span class="kw" style="box-sizing: border-box; color: #204a87; font-weight: bold;">mutate</span>(<span class="dt" style="box-sizing: border-box; color: #204a87;">Month=</span><span class="kw" style="box-sizing: border-box; color: #204a87; font-weight: bold;">as.factor</span>(<span class="kw" style="box-sizing: border-box; color: #204a87; font-weight: bold;">month</span>(Date))) <span class="op" style="box-sizing: border-box; color: #ce5c00; font-weight: bold;">%>%</span></a>
<a class="sourceLine" id="cb12-7" style="background-color: transparent; box-sizing: border-box; color: inherit; display: inline-block; line-height: 1.25; pointer-events: none; text-decoration: inherit;" title="7"><span class="st" style="box-sizing: border-box; color: #4e9a06;"> </span><span class="kw" style="box-sizing: border-box; color: #204a87; font-weight: bold;">group_by</span>(Month) <span class="op" style="box-sizing: border-box; color: #ce5c00; font-weight: bold;">%>%</span></a>
<a class="sourceLine" id="cb12-8" style="background-color: transparent; box-sizing: border-box; color: inherit; display: inline-block; line-height: 1.25; pointer-events: none; text-decoration: inherit;" title="8"><span class="st" style="box-sizing: border-box; color: #4e9a06;"> </span><span class="kw" style="box-sizing: border-box; color: #204a87; font-weight: bold;">summarise</span>(<span class="dt" style="box-sizing: border-box; color: #204a87;">Transactions=</span><span class="kw" style="box-sizing: border-box; color: #204a87; font-weight: bold;">n_distinct</span>(Transaction)) <span class="op" style="box-sizing: border-box; color: #ce5c00; font-weight: bold;">%>%</span></a>
<a class="sourceLine" id="cb12-9" style="background-color: transparent; box-sizing: border-box; color: inherit; display: inline-block; line-height: 1.25; pointer-events: none; text-decoration: inherit;" title="9"><span class="st" style="box-sizing: border-box; color: #4e9a06;"> </span><span class="kw" style="box-sizing: border-box; color: #204a87; font-weight: bold;">ggplot</span>(<span class="kw" style="box-sizing: border-box; color: #204a87; font-weight: bold;">aes</span>(<span class="dt" style="box-sizing: border-box; color: #204a87;">x=</span>Month, <span class="dt" style="box-sizing: border-box; color: #204a87;">y=</span>Transactions)) <span class="op" style="box-sizing: border-box; color: #ce5c00; font-weight: bold;">+</span></a>
<a class="sourceLine" id="cb12-10" style="background-color: transparent; box-sizing: border-box; color: inherit; display: inline-block; line-height: 1.25; pointer-events: none; text-decoration: inherit;" title="10"><span class="st" style="box-sizing: border-box; color: #4e9a06;"> </span><span class="kw" style="box-sizing: border-box; color: #204a87; font-weight: bold;">geom_bar</span>(<span class="dt" style="box-sizing: border-box; color: #204a87;">stat=</span><span class="st" style="box-sizing: border-box; color: #4e9a06;">"identity"</span>, <span class="dt" style="box-sizing: border-box; color: #204a87;">fill=</span><span class="st" style="box-sizing: border-box; color: #4e9a06;">"mistyrose2"</span>, </a>
<a class="sourceLine" id="cb12-11" style="background-color: transparent; box-sizing: border-box; color: inherit; display: inline-block; line-height: 1.25; pointer-events: none; text-decoration: inherit;" title="11"> <span class="dt" style="box-sizing: border-box; color: #204a87;">show.legend=</span><span class="ot" style="box-sizing: border-box; color: #8f5902;">FALSE</span>, <span class="dt" style="box-sizing: border-box; color: #204a87;">colour=</span><span class="st" style="box-sizing: border-box; color: #4e9a06;">"black"</span>) <span class="op" style="box-sizing: border-box; color: #ce5c00; font-weight: bold;">+</span></a>
<a class="sourceLine" id="cb12-12" style="background-color: transparent; box-sizing: border-box; color: inherit; display: inline-block; line-height: 1.25; pointer-events: none; text-decoration: inherit;" title="12"><span class="st" style="box-sizing: border-box; color: #4e9a06;"> </span><span class="kw" style="box-sizing: border-box; color: #204a87; font-weight: bold;">geom_label</span>(<span class="kw" style="box-sizing: border-box; color: #204a87; font-weight: bold;">aes</span>(<span class="dt" style="box-sizing: border-box; color: #204a87;">label=</span>Transactions)) <span class="op" style="box-sizing: border-box; color: #ce5c00; font-weight: bold;">+</span></a>
<a class="sourceLine" id="cb12-13" style="background-color: transparent; box-sizing: border-box; color: inherit; display: inline-block; line-height: 1.25; pointer-events: none; text-decoration: inherit;" title="13"><span class="st" style="box-sizing: border-box; color: #4e9a06;"> </span><span class="kw" style="box-sizing: border-box; color: #204a87; font-weight: bold;">labs</span>(<span class="dt" style="box-sizing: border-box; color: #204a87;">title=</span><span class="st" style="box-sizing: border-box; color: #4e9a06;">"Transactions per month"</span>) <span class="op" style="box-sizing: border-box; color: #ce5c00; font-weight: bold;">+</span></a>
<a class="sourceLine" id="cb12-14" style="background-color: transparent; box-sizing: border-box; color: inherit; display: inline-block; line-height: 1.25; pointer-events: none; text-decoration: inherit;" title="14"><span class="st" style="box-sizing: border-box; color: #4e9a06;"> </span><span class="kw" style="box-sizing: border-box; color: #204a87; font-weight: bold;">theme_bw</span>() </a></code></pre></div></div><p style="background-color: white; box-sizing: border-box; color: #333333; font-family: "Source Sans Pro", Calibri, Candara, Arial, sans-serif; font-size: 15px; margin: 0px 0px 10.5px;"><img 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" style="border: 0px; box-sizing: border-box; display: block; margin: auto; max-width: 100%; vertical-align: middle;" width="672" /></p></div><p style="background-color: white; box-sizing: border-box; margin: 0px 0px 10.5px;"><span face="Source Sans Pro, Calibri, Candara, Arial, sans-serif" style="color: #333333;"><span style="font-size: 15px;">Kumpulan data mencakup tanggal dari 30/10/2016 hingga 09/04/2017, itulah sebabnya kita memiliki sangat sedikit transaksi di bulan Oktober dan April.</span></span></p><p style="background-color: white; box-sizing: border-box; margin: 0px 0px 10.5px;"><span face="Source Sans Pro, Calibri, Candara, Arial, sans-serif" style="color: #333333;"><span style="font-size: 15px;"><b>Transaksi per hari kerja</b></span></span></p></div><div><pre class="sourceCode r" style="background-color: #f8f8f8; border-radius: 0px; border: 1px solid rgb(204, 204, 204); box-sizing: border-box; color: #333333; font-size: 14px; line-height: 1.42857; margin-bottom: 0px; margin-top: 0px; overflow-wrap: break-word; overflow: auto visible; padding: 10px; word-break: break-all;"><code class="sourceCode r" style="background-color: transparent; border-radius: 0px; box-sizing: border-box; color: inherit; font-size: inherit; overflow: auto visible; padding: 0px; position: relative;"><a class="sourceLine" id="cb13-1" style="background-color: transparent; box-sizing: border-box; color: inherit; display: inline-block; line-height: 1.25; pointer-events: none; text-decoration: inherit;" title="1"><span class="co" style="box-sizing: border-box; color: #8f5902; font-style: italic;"># Visualization - Transactions per weekday</span></a>
<a class="sourceLine" id="cb13-2" style="background-color: transparent; box-sizing: border-box; color: inherit; display: inline-block; line-height: 1.25; pointer-events: none; text-decoration: inherit;" title="2">trans_csv <span class="op" style="box-sizing: border-box; color: #ce5c00; font-weight: bold;">%>%</span></a>
<a class="sourceLine" id="cb13-3" style="background-color: transparent; box-sizing: border-box; color: inherit; display: inline-block; line-height: 1.25; pointer-events: none; text-decoration: inherit;" title="3"><span class="st" style="box-sizing: border-box; color: #4e9a06;"> </span><span class="kw" style="box-sizing: border-box; color: #204a87; font-weight: bold;">mutate</span>(<span class="dt" style="box-sizing: border-box; color: #204a87;">WeekDay=</span><span class="kw" style="box-sizing: border-box; color: #204a87; font-weight: bold;">as.factor</span>(<span class="kw" style="box-sizing: border-box; color: #204a87; font-weight: bold;">weekdays</span>(<span class="kw" style="box-sizing: border-box; color: #204a87; font-weight: bold;">as.Date</span>(Date)))) <span class="op" style="box-sizing: border-box; color: #ce5c00; font-weight: bold;">%>%</span></a>
<a class="sourceLine" id="cb13-4" style="background-color: transparent; box-sizing: border-box; color: inherit; display: inline-block; line-height: 1.25; pointer-events: none; text-decoration: inherit;" title="4"><span class="st" style="box-sizing: border-box; color: #4e9a06;"> </span><span class="kw" style="box-sizing: border-box; color: #204a87; font-weight: bold;">group_by</span>(WeekDay) <span class="op" style="box-sizing: border-box; color: #ce5c00; font-weight: bold;">%>%</span></a>
<a class="sourceLine" id="cb13-5" style="background-color: transparent; box-sizing: border-box; color: inherit; display: inline-block; line-height: 1.25; pointer-events: none; text-decoration: inherit;" title="5"><span class="st" style="box-sizing: border-box; color: #4e9a06;"> </span><span class="kw" style="box-sizing: border-box; color: #204a87; font-weight: bold;">summarise</span>(<span class="dt" style="box-sizing: border-box; color: #204a87;">Transactions=</span><span class="kw" style="box-sizing: border-box; color: #204a87; font-weight: bold;">n_distinct</span>(Transaction)) <span class="op" style="box-sizing: border-box; color: #ce5c00; font-weight: bold;">%>%</span></a>
<a class="sourceLine" id="cb13-6" style="background-color: transparent; box-sizing: border-box; color: inherit; display: inline-block; line-height: 1.25; pointer-events: none; text-decoration: inherit;" title="6"><span class="st" style="box-sizing: border-box; color: #4e9a06;"> </span><span class="kw" style="box-sizing: border-box; color: #204a87; font-weight: bold;">ggplot</span>(<span class="kw" style="box-sizing: border-box; color: #204a87; font-weight: bold;">aes</span>(<span class="dt" style="box-sizing: border-box; color: #204a87;">x=</span>WeekDay, <span class="dt" style="box-sizing: border-box; color: #204a87;">y=</span>Transactions)) <span class="op" style="box-sizing: border-box; color: #ce5c00; font-weight: bold;">+</span></a>
<a class="sourceLine" id="cb13-7" style="background-color: transparent; box-sizing: border-box; color: inherit; display: inline-block; line-height: 1.25; pointer-events: none; text-decoration: inherit;" title="7"><span class="st" style="box-sizing: border-box; color: #4e9a06;"> </span><span class="kw" style="box-sizing: border-box; color: #204a87; font-weight: bold;">geom_bar</span>(<span class="dt" style="box-sizing: border-box; color: #204a87;">stat=</span><span class="st" style="box-sizing: border-box; color: #4e9a06;">"identity"</span>, <span class="dt" style="box-sizing: border-box; color: #204a87;">fill=</span><span class="st" style="box-sizing: border-box; color: #4e9a06;">"peachpuff2"</span>, </a>
<a class="sourceLine" id="cb13-8" style="background-color: transparent; box-sizing: border-box; color: inherit; display: inline-block; line-height: 1.25; pointer-events: none; text-decoration: inherit;" title="8"> <span class="dt" style="box-sizing: border-box; color: #204a87;">show.legend=</span><span class="ot" style="box-sizing: border-box; color: #8f5902;">FALSE</span>, <span class="dt" style="box-sizing: border-box; color: #204a87;">colour=</span><span class="st" style="box-sizing: border-box; color: #4e9a06;">"black"</span>) <span class="op" style="box-sizing: border-box; color: #ce5c00; font-weight: bold;">+</span></a>
<a class="sourceLine" id="cb13-9" style="background-color: transparent; box-sizing: border-box; color: inherit; display: inline-block; line-height: 1.25; pointer-events: none; text-decoration: inherit;" title="9"><span class="st" style="box-sizing: border-box; color: #4e9a06;"> </span><span class="kw" style="box-sizing: border-box; color: #204a87; font-weight: bold;">geom_label</span>(<span class="kw" style="box-sizing: border-box; color: #204a87; font-weight: bold;">aes</span>(<span class="dt" style="box-sizing: border-box; color: #204a87;">label=</span>Transactions)) <span class="op" style="box-sizing: border-box; color: #ce5c00; font-weight: bold;">+</span></a>
<a class="sourceLine" id="cb13-10" style="background-color: transparent; box-sizing: border-box; color: inherit; display: inline-block; line-height: 1.25; pointer-events: none; text-decoration: inherit;" title="10"><span class="st" style="box-sizing: border-box; color: #4e9a06;"> </span><span class="kw" style="box-sizing: border-box; color: #204a87; font-weight: bold;">labs</span>(<span class="dt" style="box-sizing: border-box; color: #204a87;">title=</span><span class="st" style="box-sizing: border-box; color: #4e9a06;">"Transactions per weekday"</span>) <span class="op" style="box-sizing: border-box; color: #ce5c00; font-weight: bold;">+</span></a>
<a class="sourceLine" id="cb13-11" style="background-color: transparent; box-sizing: border-box; color: inherit; display: inline-block; line-height: 1.25; pointer-events: none; text-decoration: inherit;" title="11"><span class="st" style="box-sizing: border-box; color: #4e9a06;"> </span><span class="kw" style="box-sizing: border-box; color: #204a87; font-weight: bold;">scale_x_discrete</span>(<span class="dt" style="box-sizing: border-box; color: #204a87;">limits=</span><span class="kw" style="box-sizing: border-box; color: #204a87; font-weight: bold;">c</span>(<span class="st" style="box-sizing: border-box; color: #4e9a06;">"Monday"</span>, <span class="st" style="box-sizing: border-box; color: #4e9a06;">"Tuesday"</span>, <span class="st" style="box-sizing: border-box; color: #4e9a06;">"Wednesday"</span>, <span class="st" style="box-sizing: border-box; color: #4e9a06;">"Thursday"</span>,</a>
<a class="sourceLine" id="cb13-12" style="background-color: transparent; box-sizing: border-box; color: inherit; display: inline-block; line-height: 1.25; pointer-events: none; text-decoration: inherit;" title="12"> <span class="st" style="box-sizing: border-box; color: #4e9a06;">"Friday"</span>, <span class="st" style="box-sizing: border-box; color: #4e9a06;">"Saturday"</span>, <span class="st" style="box-sizing: border-box; color: #4e9a06;">"Sunday"</span>)) <span class="op" style="box-sizing: border-box; color: #ce5c00; font-weight: bold;">+</span></a>
<a class="sourceLine" id="cb13-13" style="background-color: transparent; box-sizing: border-box; color: inherit; display: inline-block; line-height: 1.25; pointer-events: none; text-decoration: inherit;" title="13"><span class="st" style="box-sizing: border-box; color: #4e9a06;"> </span><span class="kw" style="box-sizing: border-box; color: #204a87; font-weight: bold;">theme_bw</span>() </a></code></pre></div><div><br /></div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhDunmHlZNiKWy6QKnn-Ngir_GGK2H_5whXOt5741hq4YUele6YmwdEaDvitVZH6cu9F0P1J22zGEDoqe8rQLspRoBVFf_lkduGlqF1S2kAk7VxNl9d3XMdmG9TSLwJ4g9FBSmtPCVUaQY/s1032/3.vis.PNG" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="519" data-original-width="1032" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhDunmHlZNiKWy6QKnn-Ngir_GGK2H_5whXOt5741hq4YUele6YmwdEaDvitVZH6cu9F0P1J22zGEDoqe8rQLspRoBVFf_lkduGlqF1S2kAk7VxNl9d3XMdmG9TSLwJ4g9FBSmtPCVUaQY/s16000/3.vis.PNG" /></a></div><br /><div><div>Seperti yang bisa kita lihat, Sabtu adalah hari tersibuk di toko roti. Sebaliknya, Rabu adalah hari dengan transaksi yang lebih sedikit.</div><div><br /></div><div><b>Transaksi per jam</b></div></div><div><div class="sourceCode" id="cb14" style="background-color: white; box-sizing: border-box; color: #333333; font-family: "Source Sans Pro", Calibri, Candara, Arial, sans-serif; font-size: 15px; margin: 1em 0px; overflow: auto;"><div aria-expanded="true" class="r-code-collapse collapse in" id="rcode-643E0F3610" style="box-sizing: border-box;"><pre class="sourceCode r" style="background-color: #f8f8f8; border-radius: 0px; border: 1px solid rgb(204, 204, 204); box-sizing: border-box; font-size: 14px; line-height: 1.42857; margin-bottom: 0px; margin-top: 0px; overflow-wrap: break-word; overflow: auto visible; padding: 10px; word-break: break-all;"><code class="sourceCode r" style="background-color: transparent; border-radius: 0px; box-sizing: border-box; color: inherit; font-size: inherit; overflow: auto visible; padding: 0px; position: relative;"><a class="sourceLine" id="cb14-1" style="background-color: transparent; box-sizing: border-box; color: inherit; display: inline-block; line-height: 1.25; pointer-events: none; text-decoration: inherit;" title="1"><span class="co" style="box-sizing: border-box; color: #8f5902; font-style: italic;"># Visualization - Transactions per hour</span></a>
<a class="sourceLine" id="cb14-2" style="background-color: transparent; box-sizing: border-box; color: inherit; display: inline-block; line-height: 1.25; pointer-events: none; text-decoration: inherit;" title="2">trans_csv <span class="op" style="box-sizing: border-box; color: #ce5c00; font-weight: bold;">%>%</span></a>
<a class="sourceLine" id="cb14-3" style="background-color: transparent; box-sizing: border-box; color: inherit; display: inline-block; line-height: 1.25; pointer-events: none; text-decoration: inherit;" title="3"><span class="st" style="box-sizing: border-box; color: #4e9a06;"> </span><span class="kw" style="box-sizing: border-box; color: #204a87; font-weight: bold;">mutate</span>(<span class="dt" style="box-sizing: border-box; color: #204a87;">Hour=</span><span class="kw" style="box-sizing: border-box; color: #204a87; font-weight: bold;">as.factor</span>(<span class="kw" style="box-sizing: border-box; color: #204a87; font-weight: bold;">hour</span>(<span class="kw" style="box-sizing: border-box; color: #204a87; font-weight: bold;">hms</span>(Time)))) <span class="op" style="box-sizing: border-box; color: #ce5c00; font-weight: bold;">%>%</span></a>
<a class="sourceLine" id="cb14-4" style="background-color: transparent; box-sizing: border-box; color: inherit; display: inline-block; line-height: 1.25; pointer-events: none; text-decoration: inherit;" title="4"><span class="st" style="box-sizing: border-box; color: #4e9a06;"> </span><span class="kw" style="box-sizing: border-box; color: #204a87; font-weight: bold;">group_by</span>(Hour) <span class="op" style="box-sizing: border-box; color: #ce5c00; font-weight: bold;">%>%</span></a>
<a class="sourceLine" id="cb14-5" style="background-color: transparent; box-sizing: border-box; color: inherit; display: inline-block; line-height: 1.25; pointer-events: none; text-decoration: inherit;" title="5"><span class="st" style="box-sizing: border-box; color: #4e9a06;"> </span><span class="kw" style="box-sizing: border-box; color: #204a87; font-weight: bold;">summarise</span>(<span class="dt" style="box-sizing: border-box; color: #204a87;">Transactions=</span><span class="kw" style="box-sizing: border-box; color: #204a87; font-weight: bold;">n_distinct</span>(Transaction)) <span class="op" style="box-sizing: border-box; color: #ce5c00; font-weight: bold;">%>%</span></a>
<a class="sourceLine" id="cb14-6" style="background-color: transparent; box-sizing: border-box; color: inherit; display: inline-block; line-height: 1.25; pointer-events: none; text-decoration: inherit;" title="6"><span class="st" style="box-sizing: border-box; color: #4e9a06;"> </span><span class="kw" style="box-sizing: border-box; color: #204a87; font-weight: bold;">ggplot</span>(<span class="kw" style="box-sizing: border-box; color: #204a87; font-weight: bold;">aes</span>(<span class="dt" style="box-sizing: border-box; color: #204a87;">x=</span>Hour, <span class="dt" style="box-sizing: border-box; color: #204a87;">y=</span>Transactions)) <span class="op" style="box-sizing: border-box; color: #ce5c00; font-weight: bold;">+</span></a>
<a class="sourceLine" id="cb14-7" style="background-color: transparent; box-sizing: border-box; color: inherit; display: inline-block; line-height: 1.25; pointer-events: none; text-decoration: inherit;" title="7"><span class="st" style="box-sizing: border-box; color: #4e9a06;"> </span><span class="kw" style="box-sizing: border-box; color: #204a87; font-weight: bold;">geom_bar</span>(<span class="dt" style="box-sizing: border-box; color: #204a87;">stat=</span><span class="st" style="box-sizing: border-box; color: #4e9a06;">"identity"</span>, <span class="dt" style="box-sizing: border-box; color: #204a87;">fill=</span><span class="st" style="box-sizing: border-box; color: #4e9a06;">"steelblue1"</span>, <span class="dt" style="box-sizing: border-box; color: #204a87;">show.legend=</span><span class="ot" style="box-sizing: border-box; color: #8f5902;">FALSE</span>, <span class="dt" style="box-sizing: border-box; color: #204a87;">colour=</span><span class="st" style="box-sizing: border-box; color: #4e9a06;">"black"</span>) <span class="op" style="box-sizing: border-box; color: #ce5c00; font-weight: bold;">+</span></a>
<a class="sourceLine" id="cb14-8" style="background-color: transparent; box-sizing: border-box; color: inherit; display: inline-block; line-height: 1.25; pointer-events: none; text-decoration: inherit;" title="8"><span class="st" style="box-sizing: border-box; color: #4e9a06;"> </span><span class="kw" style="box-sizing: border-box; color: #204a87; font-weight: bold;">geom_label</span>(<span class="kw" style="box-sizing: border-box; color: #204a87; font-weight: bold;">aes</span>(<span class="dt" style="box-sizing: border-box; color: #204a87;">label=</span>Transactions)) <span class="op" style="box-sizing: border-box; color: #ce5c00; font-weight: bold;">+</span></a>
<a class="sourceLine" id="cb14-9" style="background-color: transparent; box-sizing: border-box; color: inherit; display: inline-block; line-height: 1.25; pointer-events: none; text-decoration: inherit;" title="9"><span class="st" style="box-sizing: border-box; color: #4e9a06;"> </span><span class="kw" style="box-sizing: border-box; color: #204a87; font-weight: bold;">labs</span>(<span class="dt" style="box-sizing: border-box; color: #204a87;">title=</span><span class="st" style="box-sizing: border-box; color: #4e9a06;">"Transactions per hour"</span>) <span class="op" style="box-sizing: border-box; color: #ce5c00; font-weight: bold;">+</span></a>
<a class="sourceLine" id="cb14-10" style="background-color: transparent; box-sizing: border-box; color: inherit; display: inline-block; line-height: 1.25; pointer-events: none; text-decoration: inherit;" title="10"><span class="st" style="box-sizing: border-box; color: #4e9a06;"> </span><span class="kw" style="box-sizing: border-box; color: #204a87; font-weight: bold;">theme_bw</span>()</a></code></pre></div></div><p style="background-color: white; box-sizing: border-box; color: #333333; font-family: "Source Sans Pro", Calibri, Candara, Arial, sans-serif; font-size: 15px; margin: 0px 0px 10.5px;"><img 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" style="border: 0px; box-sizing: border-box; display: block; margin: auto; max-width: 100%; vertical-align: middle;" width="672" /></p></div><div>Tidak banyak yang perlu dibicarakan dengan visualisasi ini. Hasilnya logis dan diharapkan.</div><div><br /></div><div>Untuk Next Part kita akan bahas mengenai:</div><div>6.Apriori algorithm</div><div><br /></div><div>Terimakasih</div><div><br /></div><div><br /></div><div><br /></div>Jimmy Pujosenohttp://www.blogger.com/profile/17973647737656365646noreply@blogger.com0tag:blogger.com,1999:blog-7652763575876291773.post-80883050761740169072020-11-03T11:45:00.003+07:002022-05-31T15:40:14.873+07:00Double Exponential Smoothing Holt-Winter Menggunakan Excel<p>Exponential Smoothing adalah suatu prosedur yang secara terus menerus memperbaiki peramalan dengan merata-rata (menghaluskan = smoothing) nilai masa lalu dari suatu data runtut waktu dengan cara menurun (exponential). Analisis exponential smoothing merupakan salah satu analisis deret waktu, dan merupakan metode peramalan dengan memberi nilai pembobot pada serangkaian pengamatan sebelumnya untuk memprediksi nilai masa depan. Ada macam-macam metode exponential smoothing, diantaranya adalah Single Exponential Smoothing, Double Exponential Smoothing, dan Triple Exponential Smoothing.</p><p><b><span style="font-size: medium;">1. Single Exponential Smoothing</span></b></p><p>Atau biasa disebut sebagai Simple Exponential Smoothing, metode ini digunakan untu peramalan jangka pendek. Model mengasumsikan bahwa data berfluktuasi di sekitar nilai mean yang tetap, tanpa trend atau pola pertumbuhan konsisten. Tidak seperti Moving Average, Exponential Smoothing memberikan penekanan yang lebih besar kepada time series saat ini melalui penggunaan sebuah konstanta smoothing (penghalus). Konstanta smoothing mungkin berkisar dari 0 ke 1. Nilai yang dekat dengan 1 memberikan penekanan terbesar pada nilai saat ini sedangkan nilai yang dekat dengan 0 memberi penekanan pada titik data sebelumnya. Rumus untuk simple exponential smoothing adalah sebagai berikut :</p><p>Ft+1 = α * Xt + (1 – α) * Ft</p><p>dimana:</p><p>Ft+1 = peramalan untuk periode t+1.</p><p>Xt = Nilai aktual timeseries</p><p>Ft = peramalan pada waktu t (waktu sebelumnya)</p><p>α = konstanta perataan/pemulusan yang nilainya antara 0 dan 1</p><p><br /></p><p><b><span style="font-size: medium;">2. Double Exponential Smoothing</span></b></p><p>Metode ini digunakan ketika berbentuk data trend. Ada dua metode dalam Double Exponential Smoothing, yaitu :</p><p><b>2.1. Metode Linier Satu Parameter dari Brown’s</b></p><p>Metode ini dikembangkan oleh Brown’s untuk mengatasi perbedaan yang muncul antara data aktual dan nilai peramalan apabila ada trend pada polanya. Dasar pemikiran dari pemulusan eksponensial linier dari Brown’s adalah serupa dengan rata-rata bergerak linier (Linier Moving Average), karena kedua nilai pemulusan tunggal dan ganda ketinggalan dari data yang sebenarnya bilamana terdapat unsur trend, perbedaan antara nilai pemulusan tunggal dan ganda ditambahkan kepada nilai pemulusan dan disesuaikan untuk trend . Persamaan yang digunakan pada metode ini adalah :</p><p>St = αpXt + (1 – αp) St-1</p><p>S’t = αpSt + (1 – αp) S’t-1</p><p>at = St + (St + S’t) = 2St – S’t </p><p>bt = (αp /(1 – αp))*( 2St – S’t)</p><p>Ft = at + btm</p><p>Dimana, </p><p>St = Nilai pemulusan eksponensial tunggal (pertama)</p><p>S’t = Nilai pemulusan eksponensial ganda (kedua)</p><p>Xt = Nilai aktual timeseries</p><p>at = parameter pemulusan eksponensial yang besarnya 0<αp<1</p><p>at , bt = konstanta pemulusan</p><p>Ft+m = hasil peramalan untuk m periode kedepan.</p><p>Agar dapat menggunakan persamaan di atas, nilai St dan S’t harus tersedia. Tetapi pada saat t=1, nilai tersebut tidak tersedia, jadi untuk S1 dan S’1 nilainya dianggap sama dengan nilai X1 (nilai aktual timeseries periode 1).</p><p><b>2.2.<span style="white-space: pre;"> </span>Metode Dua Parameter dari Holt</b></p><p>Metode ini nilai trend tidak dimuluskan dengan pemulusan ganda secara langsung, tetapi proses pemulusan trend dilakukan dengan parameter berbeda (β) dengan parameter pada pemulusan data asli. Secara matematis metode ini ditulis pada tiga persamaan :</p><p>Pemulusan Total<span style="white-space: pre;"> </span>: St = αXt + (1 – αp) (St-1 + T t-1)</p><p>Pemulusan Trend<span style="white-space: pre;"> </span>: Tt = β(St – St-1) + (1 – β) T t-1</p><p>Forecast metode Holt<span style="white-space: pre;"> </span>: Ft+m = St + Tt*m</p><p>Dimana,</p><p>St<span style="white-space: pre;"> </span>= Nilai pemulusan tunggal</p><p>Xt<span style="white-space: pre;"> </span>= Data sebenarnya pada waktu ke-t</p><p>Tt<span style="white-space: pre;"> </span>= Pemulusan trend</p><p>Ft+m<span style="white-space: pre;"> </span>= nilai ramalan</p><p>m<span style="white-space: pre;"> </span>= Periode masa mendatang</p><p>α,β<span style="white-space: pre;"> </span>= konstanta dengan nilai anatar 0 dan 1</p><div>Oke guys kali ini kita akan mencoba pada studi kasus α=0.05, β=0.02, dan γ=0.01 . Berikut sample datanya kalian bisa download <a href="https://github.com/pujoseno/Double-Exponential-Smoothing" target="_blank">DISINI</a></div><div><br /></div><div><div align="center"><div align="center">
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<p align="right" class="MsoNormal" style="line-height: normal; margin-bottom: 0cm; mso-margin-top-alt: auto; text-align: right;"><span style="font-family: "Times New Roman",serif; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EN-GB;">350<o:p></o:p></span></p>
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<p align="right" class="MsoNormal" style="line-height: normal; margin-bottom: 0cm; mso-margin-top-alt: auto; text-align: right;"><span style="font-family: "Times New Roman",serif; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EN-GB;">300<o:p></o:p></span></p>
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<tr style="height: 14.5pt; mso-yfti-irow: 9;">
<td rowspan="4" style="border-top: none; border: solid windowtext 1.0pt; height: 14.5pt; mso-border-top-alt: solid windowtext 1.0pt; padding: 0cm 5.4pt 0cm 5.4pt; width: 77.5pt;" valign="bottom" width="103">
<p align="right" class="MsoNormal" style="line-height: normal; margin-bottom: 0cm; mso-margin-top-alt: auto; text-align: right;"><span style="font-family: "Times New Roman",serif; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EN-GB;">2013<o:p></o:p></span></p>
<p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm; mso-margin-top-alt: auto;"><span style="font-family: "Times New Roman",serif; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EN-GB;"> <o:p></o:p></span></p>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; height: 14.5pt; padding: 0cm 5.4pt 0cm 5.4pt; width: 3.0cm;" valign="bottom" width="113">
<p align="right" class="MsoNormal" style="line-height: normal; margin-bottom: 0cm; mso-margin-top-alt: auto; text-align: right;"><span style="font-family: "Times New Roman",serif; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EN-GB;">1<o:p></o:p></span></p>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; height: 14.5pt; padding: 0cm 5.4pt 0cm 5.4pt; width: 42.5pt;" valign="bottom" width="57">
<p align="right" class="MsoNormal" style="line-height: normal; margin-bottom: 0cm; mso-margin-top-alt: auto; text-align: right;"><span style="font-family: "Times New Roman",serif; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EN-GB;">9<o:p></o:p></span></p>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; height: 14.5pt; padding: 0cm 5.4pt 0cm 5.4pt; width: 86.0pt;" valign="bottom" width="115">
<p align="right" class="MsoNormal" style="line-height: normal; margin-bottom: 0cm; mso-margin-top-alt: auto; text-align: right;"><span style="font-family: "Times New Roman",serif; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EN-GB;">350<o:p></o:p></span></p>
</td>
</tr>
<tr style="height: 14.5pt; mso-yfti-irow: 10;">
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; height: 14.5pt; padding: 0cm 5.4pt 0cm 5.4pt; width: 3.0cm;" valign="bottom" width="113">
<p align="right" class="MsoNormal" style="line-height: normal; margin-bottom: 0cm; mso-margin-top-alt: auto; text-align: right;"><span style="font-family: "Times New Roman",serif; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EN-GB;">2<o:p></o:p></span></p>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; height: 14.5pt; padding: 0cm 5.4pt 0cm 5.4pt; width: 42.5pt;" valign="bottom" width="57">
<p align="right" class="MsoNormal" style="line-height: normal; margin-bottom: 0cm; mso-margin-top-alt: auto; text-align: right;"><span style="font-family: "Times New Roman",serif; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EN-GB;">10<o:p></o:p></span></p>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; height: 14.5pt; padding: 0cm 5.4pt 0cm 5.4pt; width: 86.0pt;" valign="bottom" width="115">
<p align="right" class="MsoNormal" style="line-height: normal; margin-bottom: 0cm; mso-margin-top-alt: auto; text-align: right;"><span style="font-family: "Times New Roman",serif; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EN-GB;">200<o:p></o:p></span></p>
</td>
</tr>
<tr style="height: 14.5pt; mso-yfti-irow: 11;">
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; height: 14.5pt; padding: 0cm 5.4pt 0cm 5.4pt; width: 3.0cm;" valign="bottom" width="113">
<p align="right" class="MsoNormal" style="line-height: normal; margin-bottom: 0cm; mso-margin-top-alt: auto; text-align: right;"><span style="font-family: "Times New Roman",serif; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EN-GB;">3<o:p></o:p></span></p>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; height: 14.5pt; padding: 0cm 5.4pt 0cm 5.4pt; width: 42.5pt;" valign="bottom" width="57">
<p align="right" class="MsoNormal" style="line-height: normal; margin-bottom: 0cm; mso-margin-top-alt: auto; text-align: right;"><span style="font-family: "Times New Roman",serif; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EN-GB;">11<o:p></o:p></span></p>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; height: 14.5pt; padding: 0cm 5.4pt 0cm 5.4pt; width: 86.0pt;" valign="bottom" width="115">
<p align="right" class="MsoNormal" style="line-height: normal; margin-bottom: 0cm; mso-margin-top-alt: auto; text-align: right;"><span style="font-family: "Times New Roman",serif; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EN-GB;">150<o:p></o:p></span></p>
</td>
</tr>
<tr style="height: 14.5pt; mso-yfti-irow: 12; mso-yfti-lastrow: yes;">
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; height: 14.5pt; padding: 0cm 5.4pt 0cm 5.4pt; width: 3.0cm;" valign="bottom" width="113">
<p align="right" class="MsoNormal" style="line-height: normal; margin-bottom: 0cm; mso-margin-top-alt: auto; text-align: right;"><span style="font-family: "Times New Roman",serif; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EN-GB;">4<o:p></o:p></span></p>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; height: 14.5pt; padding: 0cm 5.4pt 0cm 5.4pt; width: 42.5pt;" valign="bottom" width="57">
<p align="right" class="MsoNormal" style="line-height: normal; margin-bottom: 0cm; mso-margin-top-alt: auto; text-align: right;"><span style="font-family: "Times New Roman",serif; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EN-GB;">12<o:p></o:p></span></p>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; height: 14.5pt; padding: 0cm 5.4pt 0cm 5.4pt; width: 86.0pt;" valign="bottom" width="115">
<p align="right" class="MsoNormal" style="line-height: normal; margin-bottom: 0cm; mso-margin-top-alt: auto; text-align: right;"><span style="font-family: "Times New Roman",serif; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EN-GB;">400<o:p></o:p></span></p>
</td>
</tr>
</tbody></table><br />
</div></div></div><div>Kita akan melakukan analisis dengan menggunakan metode Holt-Winter Exponential Smoothing. Untuk itu kita akan melakukan inisialisasi dengan mencari nilai Lt, karena data yang digunakan merupakan data kuartal, maka inisialisasi Ls akan diletakkan sejajar pada periode ke empat, yakni tahun 2011 pada kuartal 4, dengan cara merata-ratakan data kuartal pada kolom Lt seperti Gambar berikut:</div><div><br /></div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhScfPsq15qgZU_4KfAQfKSpypWJA1EJtOCuagqicUxfEC0-DhxqO8KpwRJQPMOQtEtqu5oTYrCB5aRhSy3yJxJ41IeDXasFzkNFsIlYQpBuGchV2QQnh4rPMskB-Jhj8-vZh69vP3pXCk/s562/1.+des.png" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="289" data-original-width="562" height="206" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhScfPsq15qgZU_4KfAQfKSpypWJA1EJtOCuagqicUxfEC0-DhxqO8KpwRJQPMOQtEtqu5oTYrCB5aRhSy3yJxJ41IeDXasFzkNFsIlYQpBuGchV2QQnh4rPMskB-Jhj8-vZh69vP3pXCk/w400-h206/1.+des.png" width="400" /></a></div><br /><div>Selanjutnya adalah menghitung inisialisasi St, untuk S1 samapai S4 menggunakan rumus Yt/L4. </div><div><br /></div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjzTD5FOheaQidODQPOn8YNZYO-uFs-IsLvIi9piMSj24dWFyVTnYZt3WSn9LBq4NYHeGgz4RawEzIaLT-uLzjZ7uODQpj7yNppaiMUuRcXQuUojzqqz9-PXgV3z45K9TVDo14BgsYgyMo/s574/2.+des.PNG" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="375" data-original-width="574" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjzTD5FOheaQidODQPOn8YNZYO-uFs-IsLvIi9piMSj24dWFyVTnYZt3WSn9LBq4NYHeGgz4RawEzIaLT-uLzjZ7uODQpj7yNppaiMUuRcXQuUojzqqz9-PXgV3z45K9TVDo14BgsYgyMo/s320/2.+des.PNG" width="320" /></a></div><div class="separator" style="clear: both; text-align: center;"><br /></div><div>Kemudian setelah didapatkan nilai St, maka langkah selanjutnya menghitung inisialisasi Bt. Untuk B4 kita menggunakan rumus seperti dibawah</div><div><br /></div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj7kNpGfYFWffUb5qEPi_2DY9oVXX5a9Mf3vOX66u1TwVlqDPI_z9TzOVQiG5m20RevnVHBe3usLHY5HkZyaB4Jpg8exLLjuJzsJ3SKmK7C6TgAOEuHe3MUZRqnAm3gPXKGSPpdNfo5xOM/s433/4.+des.PNG" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="431" data-original-width="433" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj7kNpGfYFWffUb5qEPi_2DY9oVXX5a9Mf3vOX66u1TwVlqDPI_z9TzOVQiG5m20RevnVHBe3usLHY5HkZyaB4Jpg8exLLjuJzsJ3SKmK7C6TgAOEuHe3MUZRqnAm3gPXKGSPpdNfo5xOM/s320/4.+des.PNG" width="320" /></a></div><div class="separator" style="clear: both; text-align: center;"><br /></div><div>Setelah selesai menentukan inisialisasi B4, selanjutnya kita akan menghitung nilai pemulusan menggunakan 3 parameter pertama yaitu α=0.02,β=0.001, dan γ=0.001.</div><div><br /></div><div>Setelah menentukan nilai α, β, dan γ , kemudian hitung nilai Lt yakni nilai pemulusan keseluruhan. Adapun nilai Lt diletakkan dibawah nilai Ls dengan menggunakan rumus sebagai berikut. </div><div><br /></div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiL_8whqlv3ozb-fs32NZjsn7YCG3P-qxnwA_2qw3Vtdf21a9OzP1W9gEGxz91zQlpHwVqZZUzNBcvbChquutrX8DGNcjFWXymw1rcq8yyM0TA7qYm8b-NThFLkrDeLoAW5O7sTDnW1Wtg/s882/6.+des.PNG" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="265" data-original-width="882" height="192" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiL_8whqlv3ozb-fs32NZjsn7YCG3P-qxnwA_2qw3Vtdf21a9OzP1W9gEGxz91zQlpHwVqZZUzNBcvbChquutrX8DGNcjFWXymw1rcq8yyM0TA7qYm8b-NThFLkrDeLoAW5O7sTDnW1Wtg/w640-h192/6.+des.PNG" width="640" /></a></div><br /><div><div>Kemudian selanjutnya untuk B2 kebawah menggunakan rumus seperti ini </div></div><div><br /></div><div><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj8KYo2YZMBEDHW50RlZyZtNlqWAICStgoDjb1RxOhLnYVtzJZV_NLBMhxWnBG2wydM4Nm6XlEywg3kFEJeH52PE-Yl92r4yOCHI1aoZrhpsQu0zuOfZAhebOHKAyNh0CUYrkYlnhvrt70/s838/5.+des.PNG" imageanchor="1" style="margin-left: 1em; margin-right: 1em; text-align: center;"><img border="0" data-original-height="314" data-original-width="838" height="240" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj8KYo2YZMBEDHW50RlZyZtNlqWAICStgoDjb1RxOhLnYVtzJZV_NLBMhxWnBG2wydM4Nm6XlEywg3kFEJeH52PE-Yl92r4yOCHI1aoZrhpsQu0zuOfZAhebOHKAyNh0CUYrkYlnhvrt70/w640-h240/5.+des.PNG" width="640" /></a></div><div><br /></div><div>Kemudian untuk menghitung S5 ke bawah menggunakan rumus seperti dibawah ini</div><div><br /></div><div><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjVDpETPC2MNOIJiau5Cuo0vTCoLWR2UCG-qQka6UDl23c90yQ7SH6gs5ntPc-tcTlHeDiVDTWoU493LOJpaW0iIPX-6mzhGsHquFBTY4zI2gQPeEequedB3F8NzMsk6o4qUlKoFLCPLMw/s884/3.+des.PNG" imageanchor="1" style="margin-left: 1em; margin-right: 1em; text-align: center;"><img border="0" data-original-height="290" data-original-width="884" height="210" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjVDpETPC2MNOIJiau5Cuo0vTCoLWR2UCG-qQka6UDl23c90yQ7SH6gs5ntPc-tcTlHeDiVDTWoU493LOJpaW0iIPX-6mzhGsHquFBTY4zI2gQPeEequedB3F8NzMsk6o4qUlKoFLCPLMw/w640-h210/3.+des.PNG" width="640" /></a></div><div><br /></div><div>Berikutnya menghitung nilai Ft yang rumusnya seperti gambar dibawah ini</div><div><br /></div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhcaMCNhfYKeFqqujjYYGxNHivbwo5ubnpf7BkzSwsLgQUfl2JKrJi31lfXDXtSBSSc5itGXO1T9wZg7OS6T77iA2DVYHxsWCyn-Q7O9W5fU4SbaSvAs6_NMg9iIMD36JW1AAKzM1GJiTA/s579/7.+des.PNG" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="293" data-original-width="579" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhcaMCNhfYKeFqqujjYYGxNHivbwo5ubnpf7BkzSwsLgQUfl2JKrJi31lfXDXtSBSSc5itGXO1T9wZg7OS6T77iA2DVYHxsWCyn-Q7O9W5fU4SbaSvAs6_NMg9iIMD36JW1AAKzM1GJiTA/s320/7.+des.PNG" width="320" /></a></div><br /><div>Kemudian untuk menghitung nilai peramalan 5 periode berikutnya angka 1 pada formula digantikan angka 2, 3, 4, dan 5 pada baris selanjutnya.</div><div><br /></div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiNatpDQwuu0slcfDfa5koSYBZmy9rxgVNqkGlQKlOmlYVzPC5o9tsmEgFdYIZUpMzKtCxsv0RXgYxa5SKKMMsszSjrcNQSJcJ9ZC5KVFDRB2zFK7MZmaS4Rb0raRvJ2BEv33oD0dif0Iw/s534/8.+des.PNG" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="380" data-original-width="534" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiNatpDQwuu0slcfDfa5koSYBZmy9rxgVNqkGlQKlOmlYVzPC5o9tsmEgFdYIZUpMzKtCxsv0RXgYxa5SKKMMsszSjrcNQSJcJ9ZC5KVFDRB2zFK7MZmaS4Rb0raRvJ2BEv33oD0dif0Iw/s320/8.+des.PNG" width="320" /></a></div><div><br /></div>Untuk mendapatkan nilai MSE, perlu lakukan perhitungan nilai Error kuadrat.<div><br /><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgmoGkmWNgM8EiByBQXS5yWxVHpdJOoRcVnOxvlz4q458UAxFjaUkynZgHJMdkqdh1nw2wlf2MzTby5QizxhBJq0RG4Pnnkrf-14O0BUuMSDgYgyOAIErbWBZGjsRYg7jAxXbA3VTP_BUI/s673/9.+des.PNG" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="295" data-original-width="673" height="175" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgmoGkmWNgM8EiByBQXS5yWxVHpdJOoRcVnOxvlz4q458UAxFjaUkynZgHJMdkqdh1nw2wlf2MzTby5QizxhBJq0RG4Pnnkrf-14O0BUuMSDgYgyOAIErbWBZGjsRYg7jAxXbA3VTP_BUI/w400-h175/9.+des.PNG" width="400" /></a></div><div><br /><div>Setelah diketahui nilai e^2 kita sudah dapat menghitung nilai MSE dari peramalan dengan menggunakan rumus Average dari nilai data keseluruhan error kuadrat.</div></div></div><div><br /></div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiPg_7GTlvhefsjzYCeujCXIfIQ__HZLqe00NOWMvSnfWU1uJdTOr26L5AooLrNU_RH9hdVPzShoAS89v909eXcrEzjot1NhvD_mFenVPZIK7Jvzw125WNpV-peoqqx40cuxPq0d6fHxZs/s791/10.+des.PNG" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="216" data-original-width="791" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiPg_7GTlvhefsjzYCeujCXIfIQ__HZLqe00NOWMvSnfWU1uJdTOr26L5AooLrNU_RH9hdVPzShoAS89v909eXcrEzjot1NhvD_mFenVPZIK7Jvzw125WNpV-peoqqx40cuxPq0d6fHxZs/s16000/10.+des.PNG" /></a></div><br /><div>Karena kita sudah mendapatkan nilai MSE sekarang kita coba analisa sedikit data di atas</div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhitZeM02snZW_7goN9ivNnt1BXryJV5AYoMFLE61KYdXyjthb1MWFaEE7PR4xm_k35emw2xgDVDfd_o0jnuGPSAJcODxq-lLU-b3nqaP7oZTKLK-xxZCVziC7FcGrH8wIm9By4kKLgUck/s498/11.+des.PNG" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="301" data-original-width="498" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhitZeM02snZW_7goN9ivNnt1BXryJV5AYoMFLE61KYdXyjthb1MWFaEE7PR4xm_k35emw2xgDVDfd_o0jnuGPSAJcODxq-lLU-b3nqaP7oZTKLK-xxZCVziC7FcGrH8wIm9By4kKLgUck/s16000/11.+des.PNG" /></a></div><div><div><br /></div><div>Gambar grafik diatas merupakan grafik kasus yang kita coba kerjakan. Berdasarkan gambar diatas dapat dikatakan bahwa gambaran keadaan data membentuk pola trend dan musiman. Karena pola data pada kasus tersebut membentuk pola trend dan musiman, maka kita melakukan analisis dengan menggunakan metode Holt-Winter Exponential Smoothing.</div><div><br /></div><div>Setelah ditemukan metode peramalan yang baik untuk digunakan maka langkah selanjutnya sudah dapat dilakukan peramalan, Pada kesempatan kali ini dilakukan peramalan untuk 1 periode kedepan dengan 3 parameter yaitu α=0.05,β=0.02, dan γ=0.01 </div></div><div><br /></div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjtNrrMJ0l3TEA7nOKnyP6wSRlcNQH9AVfZ152gWqWuKFVQSrRxjVHTSjLmbhHiJ7xRN9NBb0q9QNAZRSeSNUeW7mfxcW4F1KQX6EDVCOEJgl8C-Ja81ta3tWDlBV3Zpn6pydkDlWAmvkU/s276/12.+des.PNG" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="171" data-original-width="276" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjtNrrMJ0l3TEA7nOKnyP6wSRlcNQH9AVfZ152gWqWuKFVQSrRxjVHTSjLmbhHiJ7xRN9NBb0q9QNAZRSeSNUeW7mfxcW4F1KQX6EDVCOEJgl8C-Ja81ta3tWDlBV3Zpn6pydkDlWAmvkU/s0/12.+des.PNG" /></a></div><br /><div>Dapat dilihat dari gambar di atas bahwa peramalan lima periode selanjutnya mengalami penurunan terus menerus dimulai dari periode pertama mengalami penurunan sebesar 3.162918745. MSE dari nilai peramalan adalah sebesar 61339,4.</div><div><br /></div><div>Terimakasih telah berkunjung sehat selalu jaga kesehatan all</div>Jimmy Pujosenohttp://www.blogger.com/profile/17973647737656365646noreply@blogger.com0tag:blogger.com,1999:blog-7652763575876291773.post-24305392261410546752020-10-30T08:10:00.001+07:002022-05-31T15:37:10.309+07:00Double Moving Average (DMA) 3x3 dan 3x4 Menggunakan Excel<p><b>Moving Average</b> (rata–rata bergerak) adalah metode peramalan perataan nilai dengan mengambil sekelompok nilai pengamatan yang kemudian dicari rata-ratanya, lalu menggunakan rata-rata tersebut sebagai ramalan untuk periode berikutnya. Istilah rata-rata bergerak digunakan, karena setiap kali data observasi baru tersedia, maka angka rata-rata yang baru dihitung dan dipergunakan sebagi ramalan.</p><p>Kali ini kita akan bahas terkait double moving average, sebelum itu kita harus tahu dulu apa itu DMA/ double moving average.</p><p><b>Single Moving Average</b></p><p>Rata-rata bergerak tunggal (Single Moving Average) adalah suatu metode peramalan yang dilakukan dengan mengambil sekelompok nilai pengamatan, mencari nilai rata-rata tersebut sebagai ramalan untuk periode yang akan datang. Metode Single Moving Average mempunyai karakteristik khusus yaitu:</p><p></p><ul style="text-align: left;"><li>Untuk menentukan ramalan pada periode yang akan datang memerlukan data historis selama jangka waktu tertentu. Misalnya, dengan 3 bulan moving Average, maka ramalan bulan ke 5 baru dibuat setelah bulan ke 4 selesai/berakhir. Jika bulan moving Averages bulan ke 7 baru bisa dibuat setelah bulan ke 6 berakhir.</li><li>Semakin panjang jangka waktu moving Average, efek pelicinan semakin terlihat dalam ramalan atau menghasilakan moving Average yang semakin halus.</li></ul><p></p><div>Persamaan matematis single moving Average adalah sebagai berikut:</div><div><div style="font-weight: bold;"><br /></div></div><div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjbG6j0RFm2NkMGa-zDQmtMIoO-1pt_1JouBFV4rdPy4iHbxhJ9pzxFmuxDR5_iucb7mz4L05cCrIFpetvkPhvTiNaYQsyIv0HCaOU5b-phMm49hMY4Co-TxWXFqYaelG5h3JMKIB5bicM/s241/1.sma.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="51" data-original-width="241" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjbG6j0RFm2NkMGa-zDQmtMIoO-1pt_1JouBFV4rdPy4iHbxhJ9pzxFmuxDR5_iucb7mz4L05cCrIFpetvkPhvTiNaYQsyIv0HCaOU5b-phMm49hMY4Co-TxWXFqYaelG5h3JMKIB5bicM/s0/1.sma.png" /></a></div><div class="separator" style="clear: both; text-align: center;"><br /></div><div><div>Dimana: </div><div></div><div>Mt<span style="white-space: pre;"> </span> = Moving Average untuk periode t </div><div>Ft+1 = Peramalan Untuk metode t+1</div><div>Yt<span style="white-space: pre;"> </span> = Nilai Riil periode ke t</div><div>n<span style="white-space: pre;"> </span> = Jumlah batas dalam moving Average</div></div></div><div><br /></div><div><b>Double Moving Average</b></div><p>Double moving Average adalah teknik yang dilakukan dengan menghitung nilai rata-rata bergerak sebanyak dua kali, kemudian dilanjutkan dengan meramal menggunakan suatu persamaan tertentu. Metode ini digunakan untuk mengatasi galat sistematis yang terjadi bila rata-rata bergerak data dipakai pada data yang memiliki trend. Pada dasarnya metode ini menghitung rata-rata bergerak yang kedua, dengan kata lain rata-rata bergerak dari rata-rata bergerak, metode ini konsepnya sama dengan single moving Average. Namun pada double moving Average data peralaman pertama tersebut dijadikan data awal untuk moving Average lanjutan. Dengan persamaannya sebagai berikut :</p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg_-E7YiKGlbExFH00dxwEz-AVNJpN2HFi_CB9GbyhAYjzJGb-DtB_wDRwbrXR9of3w0dWqF2G1msIsIsM8WMz-NeSAYqIEM_zD1z1pEMblzBBscbUkRLd1kIqzXwgiTZ9u8JzXSThY3jY/s733/1.+dma.PNG" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="325" data-original-width="733" height="239" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg_-E7YiKGlbExFH00dxwEz-AVNJpN2HFi_CB9GbyhAYjzJGb-DtB_wDRwbrXR9of3w0dWqF2G1msIsIsM8WMz-NeSAYqIEM_zD1z1pEMblzBBscbUkRLd1kIqzXwgiTZ9u8JzXSThY3jY/w540-h239/1.+dma.PNG" width="540" /></a></div><p>Dalam pemodelan deret berkala, sebagian data yang diketahui dapat digunakan untuk meramalkan sisa data berikutnya sehingga dapat dilakukan perhitungan ketepatan peramalan secara lebih baik. Ketepatan peramalan pada masa yang akan datang adalah yang sangat penting.</p><p>Jika Yt merupakan data riil untuk periode t dan Ft merupakan ramalan untuk periode yang sama, maka kesalahannya dapat dituliskan sebagai berikut (Spyros, 1999).</p><div style="text-align: center;"><span style="font-size: medium;"><b>et=Yt-Ft</b></span></div><div style="text-align: left;"><div><br /></div><div>Keterangan :<span style="white-space: pre;"> </span></div><div>et = Kesalahan pada periode t</div><div>Yt = data aktual pada periode t</div><div>Ft = peramalan periode t</div><div><br /></div><div>Jika terdapat nilai pengamatan dan peramalan untuk n periode waktu, maka akan terdapat n buah kesalahan dan ukuran statistik standar yang dapat didefinisikan sebagai berikut (Spyros, 1999):</div><div><span style="white-space: pre;"> </span></div><div><b>Mean Absolute Error (MAE)</b></div><div>Mean Absolute Error atau nilai tengah kesalahan obsolut adalah rata-rata mutlak dari kesalahan meramal, tanpa menghiraukan tanda positif maupun negatif.</div><div><br /></div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhKz3-d9sSimb1c1dXlEvZDvuamDgSc4pRkI5IhY0dMv-jOqMV-rjLG9C5XXTKTicSG6SkFSEPz-xFb0ft20meYw4VFE5N_u72-o7QBxo2eZ8bO-QdcRega5wlbF4xi8YgxNu_mdLibBaw/s134/2.+dma.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="51" data-original-width="134" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhKz3-d9sSimb1c1dXlEvZDvuamDgSc4pRkI5IhY0dMv-jOqMV-rjLG9C5XXTKTicSG6SkFSEPz-xFb0ft20meYw4VFE5N_u72-o7QBxo2eZ8bO-QdcRega5wlbF4xi8YgxNu_mdLibBaw/s0/2.+dma.png" /></a></div><div><br /></div><div><div><b>Rata-rata kuadrat kesalahan (Mean Squared Error = MSE)</b></div><div>MSE merupakan metode alterntif untuk mengevaluasi teknik peramalan masing-masing kesalahan (selisih data aktual terhadap data peramalan) dikuadratkan, kemudian dijumlahkan dan dibagi dengan jumlah data. MSE dihitung dengan rumus :</div><div><br /></div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhJeydfluE7Piy3dbqIX-1T7MaSc4Yw4DD40wZhQBn1LlyrljRPhEVOSTVBKISRdlKhud0DIPwwOXf_NG6nXjkYbMWPdUYtwXEcfVR6nJ7nC9K_5Sg44K5ZrBdo3INsfCJ-PaFXMfMxTuo/s128/3.+dma.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="45" data-original-width="128" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhJeydfluE7Piy3dbqIX-1T7MaSc4Yw4DD40wZhQBn1LlyrljRPhEVOSTVBKISRdlKhud0DIPwwOXf_NG6nXjkYbMWPdUYtwXEcfVR6nJ7nC9K_5Sg44K5ZrBdo3INsfCJ-PaFXMfMxTuo/s0/3.+dma.png" /></a></div><div><br /></div><div>Oke kita akan mulai mencoba dengan studi kasus beban listrik di suatu toko dalam 1 hari, kalian bisa download datanya <a href="https://github.com/pujoseno/Double-Moving-Average" target="_blank">DISINI</a>. berikut sample datanya.</div><div><br /></div><div><table border="1" cellpadding="0" cellspacing="0" class="MsoNormalTable" style="border-collapse: collapse; border: none; margin-left: 176.85pt; mso-border-alt: solid windowtext .5pt; mso-border-insideh: .5pt solid windowtext; mso-border-insidev: .5pt solid windowtext; mso-padding-alt: 0cm 5.4pt 0cm 5.4pt; mso-yfti-tbllook: 1184; width: 128px;">
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<p align="center" class="MsoNormal" style="line-height: normal; margin-bottom: 0cm; text-align: center;"><span lang="EN-US" style="font-family: "Times New Roman", serif; font-size: 10pt;">Hour<o:p></o:p></span></p>
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<p align="center" class="MsoNormal" style="line-height: normal; margin-bottom: 0cm; text-align: center;"><span lang="EN-US" style="font-family: "Times New Roman", serif; font-size: 10pt;">Watt<o:p></o:p></span></p>
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<p align="center" class="MsoNormal" style="line-height: normal; margin-bottom: 0cm; text-align: center;"><span lang="EN-US" style="font-family: "Times New Roman", serif; font-size: 10pt;">0<o:p></o:p></span></p>
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<p align="center" class="MsoNormal" style="line-height: normal; margin-bottom: 0cm; text-align: center;"><span lang="EN-US" style="font-family: "Times New Roman", serif; font-size: 10pt;">18536<o:p></o:p></span></p>
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<p align="center" class="MsoNormal" style="line-height: normal; margin-bottom: 0cm; text-align: center;"><span lang="EN-US" style="font-family: "Times New Roman", serif; font-size: 10pt;">1<o:p></o:p></span></p>
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<p align="center" class="MsoNormal" style="line-height: normal; margin-bottom: 0cm; text-align: center;"><span lang="EN-US" style="font-family: "Times New Roman", serif; font-size: 10pt;">18247<o:p></o:p></span></p>
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<p align="center" class="MsoNormal" style="line-height: normal; margin-bottom: 0cm; text-align: center;"><span lang="EN-US" style="font-family: "Times New Roman", serif; font-size: 10pt;">2<o:p></o:p></span></p>
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<p align="center" class="MsoNormal" style="line-height: normal; margin-bottom: 0cm; text-align: center;"><span lang="EN-US" style="font-family: "Times New Roman", serif; font-size: 10pt;">17972<o:p></o:p></span></p>
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<p align="center" class="MsoNormal" style="line-height: normal; margin-bottom: 0cm; text-align: center;"><span lang="EN-US" style="font-family: "Times New Roman", serif; font-size: 10pt;">3<o:p></o:p></span></p>
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<p align="center" class="MsoNormal" style="line-height: normal; margin-bottom: 0cm; text-align: center;"><span lang="EN-US" style="font-family: "Times New Roman", serif; font-size: 10pt;">17939<o:p></o:p></span></p>
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<p align="center" class="MsoNormal" style="line-height: normal; margin-bottom: 0cm; text-align: center;"><span lang="EN-US" style="font-family: "Times New Roman", serif; font-size: 10pt;">4<o:p></o:p></span></p>
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<p align="center" class="MsoNormal" style="line-height: normal; margin-bottom: 0cm; text-align: center;"><span lang="EN-US" style="font-family: "Times New Roman", serif; font-size: 10pt;">18009<o:p></o:p></span></p>
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<p align="center" class="MsoNormal" style="line-height: normal; margin-bottom: 0cm; text-align: center;"><span lang="EN-US" style="font-family: "Times New Roman", serif; font-size: 10pt;">5<o:p></o:p></span></p>
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<p align="center" class="MsoNormal" style="line-height: normal; margin-bottom: 0cm; text-align: center;"><span lang="EN-US" style="font-family: "Times New Roman", serif; font-size: 10pt;">18570<o:p></o:p></span></p>
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<p align="center" class="MsoNormal" style="line-height: normal; margin-bottom: 0cm; text-align: center;"><span lang="EN-US" style="font-family: "Times New Roman", serif; font-size: 10pt;">6<o:p></o:p></span></p>
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<p align="center" class="MsoNormal" style="line-height: normal; margin-bottom: 0cm; text-align: center;"><span lang="EN-US" style="font-family: "Times New Roman", serif; font-size: 10pt;">20002<o:p></o:p></span></p>
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<p align="center" class="MsoNormal" style="line-height: normal; margin-bottom: 0cm; text-align: center;"><span lang="EN-US" style="font-family: "Times New Roman", serif; font-size: 10pt;">7<o:p></o:p></span></p>
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<p align="center" class="MsoNormal" style="line-height: normal; margin-bottom: 0cm; text-align: center;"><span lang="EN-US" style="font-family: "Times New Roman", serif; font-size: 10pt;">21852<o:p></o:p></span></p>
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</tbody></table></div><div><br /></div><div><span>kemudian kita akan melakukan peramalan menggunakan DMA orde 3x3 dan orde 3x4.</span></div><div><span><br /></span></div><div><b>Double Moving Average 3x3</b></div><div><b><br /></b></div><div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhh2cKDx5UnnFQlKypGQePuBtx5296SZftV0jCaJEK_4QdqZ98boUlSFSKG6J3Zy0MB_jyqj49ghwg9zMk4sGX1nN7np11fCs8RxfACPU9t9B4v_1Lr9FHjP2hO97ypd6gykvtLzOEsAqE/s652/4.+dma3x3.PNG" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="578" data-original-width="652" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhh2cKDx5UnnFQlKypGQePuBtx5296SZftV0jCaJEK_4QdqZ98boUlSFSKG6J3Zy0MB_jyqj49ghwg9zMk4sGX1nN7np11fCs8RxfACPU9t9B4v_1Lr9FHjP2hO97ypd6gykvtLzOEsAqE/s16000/4.+dma3x3.PNG" /></a></div></div><div><span style="font-family: "Times New Roman", serif; text-align: justify; text-indent: 18pt;"><br /></span></div><div><span style="font-family: "Times New Roman", serif; text-align: justify; text-indent: 18pt;">Dalam penyelesaian kasus double moving Average ordo (3x3) langkahnya adalah sebagai berikut:</span></div><div><ol style="text-align: left;"><li><span style="font-family: "Times New Roman", serif; text-align: justify; text-indent: 18pt;">Pada Kolom C, kita membuat MA (3) terlebih dahulu dengan formula <b>=AVERAGE(B2:B4)</b></span></li><li>Barulah kemudian kita mencari MA(3x3) pada kolom D dengan formula <b style="font-family: "Times New Roman", serif; text-align: justify; text-indent: 18pt;">=AVERAGE(C6:C25)</b></li><li>Dari kolom E sampai dengan G adalah mencari nilai dari penjabaran rumus Penyesuaian Kecenderungan data dengan mencari nilai at(nilai intercept) adalah <b>=2*C6-D6</b>, dan kolom F adalah nilai bt(koefisien trend) <span style="font-family: Times New Roman, serif;"><b>=(2/(3-1))*(D6-E6)</b></span><span style="font-family: "Times New Roman", serif; text-align: justify; text-indent: 18pt;"> , dan kolom G adalah kolom forecast </span><span style="font-family: Times New Roman, serif;"><b>=E6+F6*1</b></span><span style="font-family: "Times New Roman", serif; text-align: justify; text-indent: 18pt;"> .</span></li><li>Untuk menghitung MA(3x3) kita tinggal mengaverage kolom ma(3x3) menggunakan rumus <span style="font-family: Times New Roman, serif;"><b>=AVERAGE(D6:D25)</b></span></li><li>Kemudian kita mencari nilai errornya <b style="font-family: "Times New Roman", serif; text-align: justify; text-indent: 18pt;">=B7-G7</b></li><li>Agar nilai error tidak negative, kita membuat kolom I dengan <b>mengkuadratkan</b> kolom H, lalu kemudian mencari reratanya dengan formula <span style="font-family: Times New Roman, serif;"><b>=AVERAGE(I7:I25)</b></span><span style="font-family: "Times New Roman", serif; text-align: justify; text-indent: 18pt;"> sehingga didapatkan nilai MSE-nya.</span></li></ol></div><div><br /></div><div><b>Double Moving Average 3x4</b></div><div><b><br /></b></div><div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhJFQxx0HrKJ9DZ4EyqspkJSJ0cINifltRPcaGmxQX7vjVDtjpun_dIy1vysa1IgAfUOAX4QK3jYTUChYC_mOwfK76hhbJi5A-OEUPr_il3zknFrVGfvitHd3R5qASNTLS8Emx6dw24wHg/s705/5.+dma3x4.PNG" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="615" data-original-width="705" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhJFQxx0HrKJ9DZ4EyqspkJSJ0cINifltRPcaGmxQX7vjVDtjpun_dIy1vysa1IgAfUOAX4QK3jYTUChYC_mOwfK76hhbJi5A-OEUPr_il3zknFrVGfvitHd3R5qASNTLS8Emx6dw24wHg/s16000/5.+dma3x4.PNG" /></a></div><br /><div>Dalam penyelesaian kasus double moving Average ordo (4) langkahnya adalah sebagai berikut:</div><div><ol style="text-align: left;"><li>Pada Kolom C, kita membuat MA (4) terlebih dahulu dengan formula <b> =AVERAGE(B2:B25)</b></li><li>Barulah kemudian kita mencari MA(3x4) pada kolom D dengan formula <b>=AVERAGE(C5:C7)</b></li><li>Dari kolom E sampai dengan G adalah mencari nilai dari penjabaran rumus Penyesuaian Kecenderungan data dengan mencari nilai at(nilai intercept) adalah <b>=2*C7-D7</b>, dan kolom F adalah nilai bt(koefisien trend) <b>=((2/(3-1)*(C7-D7)))</b>, dan kolom G adalah kolom forecast dengan formula <b>=E7+F7*1</b> .</li><li>Untuk menghitung MA(3x4) kita tinggal mengaverage kolom ma(3x4) menggunakan rumus <span style="font-family: Times New Roman, serif;"><b>=AVERAGE(D7:D25)</b></span></li><li>Kemudian kita mencari nilai errornya <b>=B8-G8</b></li><li>Agar nilai error tidak negative, kita membuat kolom I dengan <b>mengkuadratkan</b> kolom H, lalu kemudian mencari reratanya dengan formula <b>=AVERAGE(I8:I25)</b> sehingga didapatkan nilai MSE-nya. </li></ol></div><div>Berdasarkan hasil perhitungan menggunakan microsoft excel didapatkan hasil peramalan penggunaan listrik untuk Toko selama satu hari kedepan menggunakan metode Double Moving Avarage didapatkan hasil peramalan menggunakan ordo 3x3 dan 3x4 seperti pada Gambar dibawah</div><div><br /></div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjwYj7PzAOAsFu6muxwtLFTfjzpWzLZePderthX6m0KtO5RdyAXS-8R-M1p7Sgas3CST3LJB5fDL6djhCp7NfCrdH9f7e2HFE7VgjL3QsOAieEyvXfjG5-IMeOrgj80XJHzRRdOejmTMI8/s357/6.+dma.PNG" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="80" data-original-width="357" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjwYj7PzAOAsFu6muxwtLFTfjzpWzLZePderthX6m0KtO5RdyAXS-8R-M1p7Sgas3CST3LJB5fDL6djhCp7NfCrdH9f7e2HFE7VgjL3QsOAieEyvXfjG5-IMeOrgj80XJHzRRdOejmTMI8/s16000/6.+dma.PNG" /></a></div><div><br /></div><div>Hasil peramalan pada periode pada satu hari kedepan pada Toko menggunakan Metode Double Moving Avarage adalah MA(3*3) = 21782,4 watt/hari dan MA(3x4) = 21634. Salah satu kiteria untuk mengukur suatu ketepatan ramalan adalah menggunakan mean square error (MSE) untuk melihat Moving Average orde ke berapa yang memiliki nilai MSE paling kecil sehingga dapat dilihat nilai peramalan yang paling mendekati dengan nilai aktual. Setelah dilakukan perhitungan menggunakan microsoft excel yang paling mendekati nilai aktual dengan MSE terkecil yaitu MA(3*4) dengan nilai forecast sebesar 21634 dengan nilai MSE sebesar 796849. </div><div style="font-weight: bold;"><br /></div></div><div>Mungkin untuk post kali ini sekian dulu ya thank you</div><div><span></span></div></div></div>Jimmy Pujosenohttp://www.blogger.com/profile/17973647737656365646noreply@blogger.com0tag:blogger.com,1999:blog-7652763575876291773.post-15121169009951457162020-10-20T06:48:00.000+07:002022-05-31T15:45:54.236+07:00Pembahasan Output Regresi Logistik Multinomial SPSS<p>Setelah melakukan analisis Regresi Logistik Multinomial menggunakan SPSS di post sebelumnya maka akan di dapatkan output. Disini kita akan membahas output tersebut.</p><p><b><span style="font-size: medium;">Case Processing Summary</span></b></p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgSmArr7CaMwoxDJuBc1E3d7zQ8rPalQ5k4vWJnESYOY3oAWiImM1JZP6zOJ3rIqPWoCocIS7QVDfLyc-b59ydsvAyqYBBJdli_onQH3ulW9ZqMix43MZajdHtaZNMcR5gFLKwNWlLrsBE/s320/7..png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="246" data-original-width="320" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgSmArr7CaMwoxDJuBc1E3d7zQ8rPalQ5k4vWJnESYOY3oAWiImM1JZP6zOJ3rIqPWoCocIS7QVDfLyc-b59ydsvAyqYBBJdli_onQH3ulW9ZqMix43MZajdHtaZNMcR5gFLKwNWlLrsBE/s0/7..png" /></a></div><p>Dari output diatas dapat dilihat nilai dan persentasenya dari masing-masing kategori variabel ice cream dan gender. Untuk ice cream rasa cokelat ada 47 orang, fanilla ada 95 orang, dan strawberry ada 58 orang. Sedangkan untuk variabel gender male ada 91 orang dan sisanya sebanyak 109 orang adalah dengan gender female. Dengan keseluruhan data ada 200 orang.</p><p><b><span style="font-size: medium;">Model Fitting Information</span></b></p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi_ZVTPzaY2uH74-r85t3NML0MIGybhwId59XJ4fwwrhQhDiX7Pkfub0rGwG36CnXfP9TSKyE8pWUwmcV1vrmuzDVJl0irtM_UGNovL9uYjcIVxKyF-Y-9a1PxAFfnlikB_RcMS6IvZk8w/s413/8..png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="134" data-original-width="413" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi_ZVTPzaY2uH74-r85t3NML0MIGybhwId59XJ4fwwrhQhDiX7Pkfub0rGwG36CnXfP9TSKyE8pWUwmcV1vrmuzDVJl0irtM_UGNovL9uYjcIVxKyF-Y-9a1PxAFfnlikB_RcMS6IvZk8w/s16000/8..png" /></a></div><p>Kemudian outuput diatas adalah model fitting information, dari output tersebut kita akan melakukan uji apakah terdapat pengaruh variabel independent terhadap variabel dependent.</p><p style="text-align: left;">-- Menentukan hipotesis </p><p style="text-align: left;">H0 = variabel independent tidak berpengaruh pada variabel dependent</p><p style="text-align: left;">H1 ≠ variabel independent berpengaruh pada variabel dependent</p><p style="text-align: left;">-- Menentukan tingkat signifikansi</p><p style="text-align: left;">α = 0,05.</p><p style="text-align: left;">-- Daerah kritis</p><p style="text-align: left;">H0 ditolak jika p-value < tingkat signifikansi α = 0,05.</p><p style="text-align: left;">-- Statistik uji</p><p style="text-align: left;">P-value = 0,000.</p><p style="text-align: left;">-- Keputusan</p><p style="text-align: left;">Tolak H0 karena nilai probabilitas p-value 0,000 < α 0,05 .</p><p style="text-align: left;">-- Kesimpulan</p><p style="text-align: left;">Dengan tingkat signifikansi 0,05, diperoleh kesimpulan bahwa variabel independent berpengaruh pada variabel dependent.</p><p><b><span style="font-size: medium;">Goodness-of-Fit</span></b></p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgWEB1V8OpySq1SsFE3LFQed1uOwpRmhheJE2ayZYF1KuH6xacwgP0nK1R_lD_oRo1cpXM5N4gjKZgYZaKWfLEXkwzqydJ_zM2WxGHcwxHXk39K2fy59IZFBIFgTXuGUUU4ilslYCHy0_M/s291/9..png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="84" data-original-width="291" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgWEB1V8OpySq1SsFE3LFQed1uOwpRmhheJE2ayZYF1KuH6xacwgP0nK1R_lD_oRo1cpXM5N4gjKZgYZaKWfLEXkwzqydJ_zM2WxGHcwxHXk39K2fy59IZFBIFgTXuGUUU4ilslYCHy0_M/s0/9..png" /></a></div><div><br /></div><div>Pada output goodness-of-fit dapat dilakukan uji kesesuaian model dengan melihat nilai signifikasi pearsonnya. </div><div><br /></div><div>-- Menentukan hipotesis </div><div>H0 : model sesuai dengan data / tidak ada perubahan antara model dengan data sehingga dikatakan fit.</div><div>H1 : model tidak sesuai dengan data / ada perubahan antara model dengan data sehingga dikatakan tidak fit.</div><div><br /></div><div>-- Menentukan tingkat signifikansi</div><div>α = 0,05.</div><div><br /></div><div>-- Daerah kritis</div><div>H0 ditolak jika p-value < tingkat signifikansi α = 0,05.</div><div><br /></div><div>-- Statistik uji</div><div>P-value = 0,240</div><div><br /></div><div>-- Keputusan</div><div>Terima H0 karena nilai probabilitas p-value 0,240 > α 0,05 .</div><div><br /></div><div>-- Kesimpulan</div><div>Dengan tingkat signifikansi 0,05, diperoleh kesimpulan bahwa model sesuai dengan data / tidak ada perubahan antara model dengan data sehingga dikatakan fit.</div><div><br /></div><div><b><span style="font-size: medium;">Pseudo R-Square</span></b></div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjWya5PFU5osSFh8gD28LFA_e4AA7g539G2SVaEofHi1sd9O7_bpMk0Br5rXtDqq_NOcl-13Zhf2WYOYAs4xuM83O7x5MD80MDDtwXz50gLd1VoDy3VK0PEfrEdXgFGi32EA5FJO5EuV9I/s168/10..png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="88" data-original-width="168" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjWya5PFU5osSFh8gD28LFA_e4AA7g539G2SVaEofHi1sd9O7_bpMk0Br5rXtDqq_NOcl-13Zhf2WYOYAs4xuM83O7x5MD80MDDtwXz50gLd1VoDy3VK0PEfrEdXgFGi32EA5FJO5EuV9I/s0/10..png" /></a></div><br /><div>Kalau dalam regresi biasa menggunakan nilai R square dalam menunjukkan besar pengaruh variabel, maka dalam regresi logistik ini menggunakan Cox & Snell dan Nagelkerke untuk mengukur proporsi keragaman variabel dependent yang mampu dijelaskan oleh variabel independent dalam menunjukkan kebaikan model, semakin besar nilainya maka semakin baik modelnya. Output diatas menjelaskan bahwa nilai Cox & Snell = 0,153. Artinya sebesar 15,3% keragaman variabel dependent mampu dijelaskan oleh variabel independent dalam model, sedangkan sisanya dijelaskan oleh peubah lain yang diluar model. Sedangkan nilai Nagelkerke = 0,174. Artinya sebesar 17,4% keragaman variabel dependent mampu dijelaskan oleh variabel independent dalam model, sedangkan sisanya dijelaskan oleh peubah lain yang diluar model.</div><div><br /></div><div><b><span style="font-size: medium;">Likelihood Ratio Tests</span></b></div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiG_fSOr5gyL4Hf-TxchdGl66TlqsSr9-horhjm0AxVpePzUTw-KrejOo077sut6D8IWezFLk4LaQ_SI6gwRAYfJFDJfFXPf1Evw34TOXkthGFVvEnQ-M12HzSQW2eD7G_OkNOoARM_H1c/s379/11..png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="208" data-original-width="379" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiG_fSOr5gyL4Hf-TxchdGl66TlqsSr9-horhjm0AxVpePzUTw-KrejOo077sut6D8IWezFLk4LaQ_SI6gwRAYfJFDJfFXPf1Evw34TOXkthGFVvEnQ-M12HzSQW2eD7G_OkNOoARM_H1c/s16000/11..png" /></a></div><div class="separator" style="clear: both; text-align: center;"><br /></div><div><b>Uji parsial untuk β0</b></div><div><br /></div><div>-- Menentukan hipotesis </div><div>H0: β0 = 0 (tidak ada pengaruh signifikan antara intercept terhadap rasa ice cream)</div><div>H1: β0 ≠ 0. (ada pengaruh signifikan antara intercept terhadap rasa ice cream)</div><div><br /></div><div>-- Menentukan tingkat signifikansi</div><div>α = 0,05.</div><div><br /></div><div>-- Daerah kritis</div><div>H0 ditolak jika p-value < tingkat signifikansi α = 0,05.</div><div><br /></div><div>-- Statistik uji</div><div>P-value = 0,000.</div><div><br /></div><div>-- Keputusan</div><div>Tolak H0 karena nilai probabilitas p-value 0,000 < α 0,05 .</div><div><br /></div><div>-- Kesimpulan</div><div>Dengan tingkat signifikansi 0,05, diperoleh kesimpulan bahwa ada pengaruh signifikan antara intercept terhadap rasa ice cream</div><div> </div><div><b>Uji parsial untuk β1</b></div><div><b><br /></b></div><div>-- Menentukan hipotesis </div><div>H0: β1 = 0 (tidak ada pengaruh signifikan antara video terhadap rasa ice cream)</div><div>H1: β1 ≠ 0 (ada pengaruh signifikan antara video terhadap rasa ice cream)</div><div><br /></div><div>-- Menentukan tingkat signifikansi</div><div>α = 0,05.</div><div><br /></div><div>-- Daerah kritis</div><div>H0 ditolak jika p-value < α = 0,05.</div><div><br /></div><div>-- Statistik uji</div><div>P-value = 0,174.</div><div><br /></div><div>-- Keputusan</div><div>Terima H0 karena nilai probabilitas p-value 0,174 > α 0,05.</div><div><br /></div><div>-- Kesimpulan</div><div>Dengan tingkat signifikansi 0,05, diperoleh kesimpulan bahwa tidak ada pengaruh signifikan antara video terhadap rasa ice cream.</div><div><br /></div><div><b>Uji parsial untuk β2</b></div><div><br /></div><div>-- Menentukan hipotesis </div><div>H0: β0 = 0 (tidak ada pengaruh signifikan antara puzzle terhadap rasa ice cream)</div><div>H1: β0 ≠ 0. (ada pengaruh signifikan antara puzzle terhadap rasa ice cream)</div><div><br /></div><div>-- Menentukan tingkat signifikansi</div><div>α = 0,05.</div><div><br /></div><div>-- Daerah kritis</div><div>H0 ditolak jika p-value < tingkat signifikansi α = 0,05.</div><div><br /></div><div>-- Statistik uji</div><div>P-value = 0,002.</div><div><br /></div><div>-- Keputusan</div><div>Tolak H0 karena nilai probabilitas p-value 0,002 < α 0,05 .</div><div><br /></div><div>-- Kesimpulan</div><div>Dengan tingkat signifikansi 0,05, diperoleh kesimpulan bahwa ada pengaruh signifikan antara puzzle terhadap rasa ice cream</div><div><br /></div><div><b>Uji parsial untuk β3</b></div><div><b><br /></b></div><div>-- Menentukan hipotesis </div><div>H0: β1 = 0 (tidak ada pengaruh signifikan antara gender terhadap rasa ice cream)</div><div>H1: β1 ≠ 0 (ada pengaruh signifikan antara gender terhadap rasa ice cream)</div><div><br /></div><div>-- Menentukan tingkat signifikansi</div><div>α = 0,05.</div><div><br /></div><div>-- Daerah kritis</div><div>H0 ditolak jika p-value < α = 0,05.</div><div><br /></div><div>-- Statistik uji</div><div>P-value = 0,078.</div><div><br /></div><div>-- Keputusan</div><div>Terima H0 karena nilai probabilitas p-value 0,078 > α 0,05 .</div><div><br /></div><div>-- Kesimpulan</div><div>Dengan tingkat signifikansi 0,05, diperoleh kesimpulan bahwa tidak ada pengaruh signifikan antara gender terhadap rasa ice cream.</div><div><br /></div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjpu133uBnSxrgJBBSEXgDZHvzcL1nkE5dZ7rFiZMGYOdY0iubb6ySEY1kzN1tx5cNtjnGXEFky-6B6i9TuPlH7GnpxQXLuvoQWJJMEfCE2zgrrA7FUXNzR4YkY9X31g5emvlKa9LzRR7E/s737/12.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="285" data-original-width="737" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjpu133uBnSxrgJBBSEXgDZHvzcL1nkE5dZ7rFiZMGYOdY0iubb6ySEY1kzN1tx5cNtjnGXEFky-6B6i9TuPlH7GnpxQXLuvoQWJJMEfCE2zgrrA7FUXNzR4YkY9X31g5emvlKa9LzRR7E/s16000/12.png" /></a></div><div><br /></div><div>Semakin tinggi nilai seorang dari video, maka kecenderungan untuk memilih ice cream rasa cokelat itu 0,955x lipat dari ice cream rasa strawberry.</div><div>Semakin tinggi nilai seorang dari puzzle, maka kecenderungan untuk memilih ice cream rasa cokelat itu 0,921x lipat dari ice cream rasa strawberry.</div><div><br /></div><div>Kecenderungan seseorang dengan gender wanita, untuk memilih ice cream rasa cokelat, darpd ice cream rasa strawberry, itu sebesar 0,428x lipat dr seseorang dg gender laki-laki. </div><div><br /></div><div><br /></div><div><div><b>Kesimpulan :</b></div></div><div><ol style="text-align: left;"><li>Berdasarkan uji kesesuaian model, maka didapatkan bahwa variabel independent berpengaruh pada variable dependent.</li><li>Nilai Cox & Snell = 0,153. Artinya sebesar 15,3% keragaman variabel dependent mampu dijelaskan oleh variabel independent dalam model, sedangkan sisanya dijelaskan oleh peubah lain yang diluar model. </li><li>Sedangkan nilai Nagelkerke = 0,174. Artinya sebesar 17,4% keragaman variabel dependent mampu dijelaskan oleh variabel independent dalam model, sedangkan sisanya dijelaskan oleh peubah lain yang diluar model.</li><li>Berdasarkan uji parsial dengan tingkat signifikansi 0,05 diperoleh kesimpulan bahwa :</li><ul><li>Ada pengaruh signifikan antara intercept terhadap rasa ice cream</li><li>Tidak ada pengaruh signifikan antara video terhadap rasa ice cream.</li><li>Bahwa ada pengaruh signifikan antara puzzle terhadap rasa ice cream</li><li>Tidak ada pengaruh signifikan antara gender terhadap rasa ice cream.</li></ul><li>Semakin tinggi nilai seorang dari video, maka kecenderungan untuk memilih ice cream rasa cokelat adalah 0,955x lipat dari ice cream rasa strawberry. </li><li>Semakin tinggi nilai seorang dari puzzle, maka kecenderungan untuk memilih ice cream rasa cokelat adalah 0,921x lipat dari ice cream rasa strawberry. </li><li>Kecenderungan seseorang dengan gender wanita, untuk memilih ice cream rasa cokelat, daripada ice cream rasa strawberry adalah sebesar 0,428x lipat dr seseorang dg gender laki-laki. </li></ol></div>Jimmy Pujosenohttp://www.blogger.com/profile/17973647737656365646noreply@blogger.com0tag:blogger.com,1999:blog-7652763575876291773.post-45041590522504768682020-10-18T10:19:00.003+07:002022-05-31T15:46:25.394+07:00Analisis Regresi Logistik Multinomial<p>Analisis regresi logistik digunakan untuk menjelaskan hubungan antara variabel respon yang berupa data dikotomik/biner dengan variabel bebas yang berupa data berskala interval dan atau kategorik (Hosmer dan Lemeshow, 1989). Variabel yang dikotomik/biner adalah variabel yang hanya mempunyai dua kategori saja, yaitu kategori yang menyatakan kejadian sukses (Y=1) dan kategori yang menyatakan kejadian gagal (Y=0). pada model linear umum komponen acak tidak harus mengikuti sebaran normal, tapi harus masuk dalam sebaran keluarga eksponensial. Sebaran bernoulli termasuk dalam salah satu dari sebaran keluarga eksponensial. Variabel respon Y ini, diasumsikan mengikuti distribusi Bernoulli.</p><p>Asumsi-asumsi dalam regresi logistik:</p><p></p><ul style="text-align: left;"><li>Tidak mengasumsikan hubungan linier antar variabel dependen dan independent</li><li>Variabel dependen harus bersifat dikotomi (2 variabel)</li><li>Variabel independent tidak harus memiliki keragaman yang sama antar kelompok variabel</li><li>Kategori dalam variabel independent harus terpisah satu sama lain atau bersifat eksklusif</li><li>Sampel yang diperlukan dalam jumlah relatif besar, minimum dibutuhkan hingga 50 sampel data untuk sebuah variabel prediktor (bebas).</li></ul><p></p><div><div>Kita akan coba analisis data berikut dimana terdapat data nilai tes video game dan puzzle dari 200 siswa SMA yang telah dikumpulkan. Hasil pengukuran dalam analisis ini adalah pilihan rasa ice cream yang menjadi favorit oleh masing-masing siswa, yaitu rasa vanilla, cokelat, dan strawberry. Dimana, akan dilakukan penelitian apakah terdapat hubungan antara hasil tes video game, puzzle, dan jenis kelamin dari 200 siswa SMA. </div><div>Kalian bisa download data dan filenya<a href="https://github.com/pujoseno/Analisis-Regresi-Logistik" target="_blank"> di SINI</a> . Berikut sample datanya:</div></div><div><table border="0" cellpadding="0" cellspacing="0" class="MsoNormalTable" style="border-collapse: collapse; margin-left: 4.65pt; mso-padding-alt: 0cm 5.4pt 0cm 5.4pt; mso-yfti-tbllook: 1184; width: 537px;">
<tbody><tr style="height: 15pt; mso-yfti-firstrow: yes; mso-yfti-irow: 0;">
<td nowrap="" style="border: 1pt solid windowtext; height: 15pt; mso-border-alt: solid windowtext .5pt; padding: 0cm 5.4pt; width: 39.95pt;" width="53">
<p align="center" class="MsoNormal" style="line-height: normal; margin-bottom: 0cm; text-align: center;"><b><span lang="IN">No<o:p></o:p></span></b></p>
</td>
<td nowrap="" style="border-left: none; border: 1pt solid windowtext; height: 15pt; mso-border-bottom-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0cm 5.4pt; width: 49.95pt;" width="67">
<p align="center" class="MsoNormal" style="line-height: normal; margin-bottom: 0cm; text-align: center;"><b><span lang="IN">Gender<o:p></o:p></span></b></p>
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<td nowrap="" style="border-left: none; border: 1pt solid windowtext; height: 15pt; mso-border-bottom-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0cm 5.4pt; width: 61.05pt;" width="81">
<p align="center" class="MsoNormal" style="line-height: normal; margin-bottom: 0cm; text-align: center;"><b><span lang="IN">Ice
cream<o:p></o:p></span></b></p>
</td>
<td nowrap="" style="border-left: none; border: 1pt solid windowtext; height: 15pt; mso-border-bottom-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0cm 5.4pt; width: 41.2pt;" width="55">
<p align="center" class="MsoNormal" style="line-height: normal; margin-bottom: 0cm; text-align: center;"><b><span lang="IN">Video<o:p></o:p></span></b></p>
</td>
<td nowrap="" style="border-left: none; border: 1pt solid windowtext; height: 15pt; mso-border-bottom-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0cm 5.4pt; width: 43.95pt;" width="59">
<p align="center" class="MsoNormal" style="line-height: normal; margin-bottom: 0cm; text-align: center;"><b><span lang="IN">Puzzle<o:p></o:p></span></b></p>
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<td nowrap="" style="height: 15pt; padding: 0cm 5.4pt; width: 13.65pt;" width="18"></td>
<td colspan="2" nowrap="" style="height: 15pt; padding: 0cm 5.4pt; width: 153.25pt;" width="204">
<p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm;"><b><i><u><span lang="IN">KETERANGAN :<o:p></o:p></span></u></i></b></p>
</td>
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<tr style="height: 15pt; mso-yfti-irow: 1;">
<td nowrap="" style="border-top: none; border: 1pt solid windowtext; height: 15pt; mso-border-bottom-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; padding: 0cm 5.4pt; width: 39.95pt;" valign="bottom" width="53">
<p align="right" class="MsoNormal" style="line-height: normal; margin-bottom: 0cm; text-align: right;"><span lang="IN">1<o:p></o:p></span></p>
</td>
<td nowrap="" style="border-bottom: 1pt solid windowtext; border-left: none; border-right: 1pt solid windowtext; border-top: none; height: 15pt; mso-border-bottom-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; padding: 0cm 5.4pt; width: 49.95pt;" valign="bottom" width="67">
<p align="right" class="MsoNormal" style="line-height: normal; margin-bottom: 0cm; text-align: right;"><span lang="IN">0<o:p></o:p></span></p>
</td>
<td nowrap="" style="border-bottom: 1pt solid windowtext; border-left: none; border-right: 1pt solid windowtext; border-top: none; height: 15pt; mso-border-bottom-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; padding: 0cm 5.4pt; width: 61.05pt;" valign="bottom" width="81">
<p align="right" class="MsoNormal" style="line-height: normal; margin-bottom: 0cm; text-align: right;"><span lang="IN">1<o:p></o:p></span></p>
</td>
<td nowrap="" style="border-bottom: 1pt solid windowtext; border-left: none; border-right: 1pt solid windowtext; border-top: none; height: 15pt; mso-border-bottom-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; padding: 0cm 5.4pt; width: 41.2pt;" valign="bottom" width="55">
<p align="right" class="MsoNormal" style="line-height: normal; margin-bottom: 0cm; text-align: right;"><span lang="IN">47<o:p></o:p></span></p>
</td>
<td nowrap="" style="border-bottom: 1pt solid windowtext; border-left: none; border-right: 1pt solid windowtext; border-top: none; height: 15pt; mso-border-bottom-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; padding: 0cm 5.4pt; width: 43.95pt;" valign="bottom" width="59">
<p align="right" class="MsoNormal" style="line-height: normal; margin-bottom: 0cm; text-align: right;"><span lang="IN">57<o:p></o:p></span></p>
</td>
<td nowrap="" style="height: 15pt; padding: 0cm 5.4pt; width: 13.65pt;" valign="bottom" width="18"></td>
<td nowrap="" style="height: 15pt; padding: 0cm 5.4pt; width: 73.8pt;" valign="bottom" width="98">
<p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm;"><span lang="IN">GENDER : <o:p></o:p></span></p>
</td>
<td nowrap="" style="height: 15pt; padding: 0cm 5.4pt; width: 79.45pt;" valign="bottom" width="106">
<p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm;"><span lang="IN">0 = MALE<o:p></o:p></span></p>
</td>
</tr>
<tr style="height: 15pt; mso-yfti-irow: 2;">
<td nowrap="" style="border-top: none; border: 1pt solid windowtext; height: 15pt; mso-border-bottom-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; padding: 0cm 5.4pt; width: 39.95pt;" valign="bottom" width="53">
<p align="right" class="MsoNormal" style="line-height: normal; margin-bottom: 0cm; text-align: right;"><span lang="IN">2<o:p></o:p></span></p>
</td>
<td nowrap="" style="border-bottom: 1pt solid windowtext; border-left: none; border-right: 1pt solid windowtext; border-top: none; height: 15pt; mso-border-bottom-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; padding: 0cm 5.4pt; width: 49.95pt;" valign="bottom" width="67">
<p align="right" class="MsoNormal" style="line-height: normal; margin-bottom: 0cm; text-align: right;"><span lang="IN">1<o:p></o:p></span></p>
</td>
<td nowrap="" style="border-bottom: 1pt solid windowtext; border-left: none; border-right: 1pt solid windowtext; border-top: none; height: 15pt; mso-border-bottom-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; padding: 0cm 5.4pt; width: 61.05pt;" valign="bottom" width="81">
<p align="right" class="MsoNormal" style="line-height: normal; margin-bottom: 0cm; text-align: right;"><span lang="IN">2<o:p></o:p></span></p>
</td>
<td nowrap="" style="border-bottom: 1pt solid windowtext; border-left: none; border-right: 1pt solid windowtext; border-top: none; height: 15pt; mso-border-bottom-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; padding: 0cm 5.4pt; width: 41.2pt;" valign="bottom" width="55">
<p align="right" class="MsoNormal" style="line-height: normal; margin-bottom: 0cm; text-align: right;"><span lang="IN">63<o:p></o:p></span></p>
</td>
<td nowrap="" style="border-bottom: 1pt solid windowtext; border-left: none; border-right: 1pt solid windowtext; border-top: none; height: 15pt; mso-border-bottom-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; padding: 0cm 5.4pt; width: 43.95pt;" valign="bottom" width="59">
<p align="right" class="MsoNormal" style="line-height: normal; margin-bottom: 0cm; text-align: right;"><span lang="IN">61<o:p></o:p></span></p>
</td>
<td nowrap="" style="height: 15pt; padding: 0cm 5.4pt; width: 13.65pt;" valign="bottom" width="18"></td>
<td nowrap="" style="height: 15pt; padding: 0cm 5.4pt; width: 73.8pt;" valign="bottom" width="98"></td>
<td nowrap="" style="height: 15pt; padding: 0cm 5.4pt; width: 79.45pt;" valign="bottom" width="106">
<p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm;"><span lang="IN">1 = FEMALE<o:p></o:p></span></p>
</td>
</tr>
<tr style="height: 15pt; mso-yfti-irow: 3;">
<td nowrap="" style="border-top: none; border: 1pt solid windowtext; height: 15pt; mso-border-bottom-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; padding: 0cm 5.4pt; width: 39.95pt;" valign="bottom" width="53">
<p align="right" class="MsoNormal" style="line-height: normal; margin-bottom: 0cm; text-align: right;"><span lang="IN">3<o:p></o:p></span></p>
</td>
<td nowrap="" style="border-bottom: 1pt solid windowtext; border-left: none; border-right: 1pt solid windowtext; border-top: none; height: 15pt; mso-border-bottom-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; padding: 0cm 5.4pt; width: 49.95pt;" valign="bottom" width="67">
<p align="right" class="MsoNormal" style="line-height: normal; margin-bottom: 0cm; text-align: right;"><span lang="IN">0<o:p></o:p></span></p>
</td>
<td nowrap="" style="border-bottom: 1pt solid windowtext; border-left: none; border-right: 1pt solid windowtext; border-top: none; height: 15pt; mso-border-bottom-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; padding: 0cm 5.4pt; width: 61.05pt;" valign="bottom" width="81">
<p align="right" class="MsoNormal" style="line-height: normal; margin-bottom: 0cm; text-align: right;"><span lang="IN">3<o:p></o:p></span></p>
</td>
<td nowrap="" style="border-bottom: 1pt solid windowtext; border-left: none; border-right: 1pt solid windowtext; border-top: none; height: 15pt; mso-border-bottom-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; padding: 0cm 5.4pt; width: 41.2pt;" valign="bottom" width="55">
<p align="right" class="MsoNormal" style="line-height: normal; margin-bottom: 0cm; text-align: right;"><span lang="IN">58<o:p></o:p></span></p>
</td>
<td nowrap="" style="border-bottom: 1pt solid windowtext; border-left: none; border-right: 1pt solid windowtext; border-top: none; height: 15pt; mso-border-bottom-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; padding: 0cm 5.4pt; width: 43.95pt;" valign="bottom" width="59">
<p align="right" class="MsoNormal" style="line-height: normal; margin-bottom: 0cm; text-align: right;"><span lang="IN">31<o:p></o:p></span></p>
</td>
<td nowrap="" style="height: 15pt; padding: 0cm 5.4pt; width: 13.65pt;" valign="bottom" width="18"></td>
<td nowrap="" style="height: 15pt; padding: 0cm 5.4pt; width: 73.8pt;" valign="bottom" width="98">
<p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm;"><span lang="IN">ICE CREAM<o:p></o:p></span></p>
</td>
<td nowrap="" style="height: 15pt; padding: 0cm 5.4pt; width: 79.45pt;" valign="bottom" width="106">
<p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm;"><span lang="IN">1=COKELAT<o:p></o:p></span></p>
</td>
</tr>
<tr style="height: 15pt; mso-yfti-irow: 4;">
<td nowrap="" style="border-top: none; border: 1pt solid windowtext; height: 15pt; mso-border-bottom-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; padding: 0cm 5.4pt; width: 39.95pt;" valign="bottom" width="53">
<p align="right" class="MsoNormal" style="line-height: normal; margin-bottom: 0cm; text-align: right;"><span lang="IN">4<o:p></o:p></span></p>
</td>
<td nowrap="" style="border-bottom: 1pt solid windowtext; border-left: none; border-right: 1pt solid windowtext; border-top: none; height: 15pt; mso-border-bottom-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; padding: 0cm 5.4pt; width: 49.95pt;" valign="bottom" width="67">
<p align="right" class="MsoNormal" style="line-height: normal; margin-bottom: 0cm; text-align: right;"><span lang="IN">0<o:p></o:p></span></p>
</td>
<td nowrap="" style="border-bottom: 1pt solid windowtext; border-left: none; border-right: 1pt solid windowtext; border-top: none; height: 15pt; mso-border-bottom-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; padding: 0cm 5.4pt; width: 61.05pt;" valign="bottom" width="81">
<p align="right" class="MsoNormal" style="line-height: normal; margin-bottom: 0cm; text-align: right;"><span lang="IN">3<o:p></o:p></span></p>
</td>
<td nowrap="" style="border-bottom: 1pt solid windowtext; border-left: none; border-right: 1pt solid windowtext; border-top: none; height: 15pt; mso-border-bottom-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; padding: 0cm 5.4pt; width: 41.2pt;" valign="bottom" width="55">
<p align="right" class="MsoNormal" style="line-height: normal; margin-bottom: 0cm; text-align: right;"><span lang="IN">53<o:p></o:p></span></p>
</td>
<td nowrap="" style="border-bottom: 1pt solid windowtext; border-left: none; border-right: 1pt solid windowtext; border-top: none; height: 15pt; mso-border-bottom-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; padding: 0cm 5.4pt; width: 43.95pt;" valign="bottom" width="59">
<p align="right" class="MsoNormal" style="line-height: normal; margin-bottom: 0cm; text-align: right;"><span lang="IN">56<o:p></o:p></span></p>
</td>
<td nowrap="" style="height: 15pt; padding: 0cm 5.4pt; width: 13.65pt;" valign="bottom" width="18"></td>
<td nowrap="" style="height: 15pt; padding: 0cm 5.4pt; width: 73.8pt;" valign="bottom" width="98"></td>
<td nowrap="" style="height: 15pt; padding: 0cm 5.4pt; width: 79.45pt;" valign="bottom" width="106">
<p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm;"><span lang="IN">2=VANILLA<o:p></o:p></span></p>
</td>
</tr>
<tr style="height: 15pt; mso-yfti-irow: 5;">
<td nowrap="" style="border-top: none; border: 1pt solid windowtext; height: 15pt; mso-border-bottom-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; padding: 0cm 5.4pt; width: 39.95pt;" valign="bottom" width="53">
<p align="right" class="MsoNormal" style="line-height: normal; margin-bottom: 0cm; text-align: right;"><span lang="IN">5<o:p></o:p></span></p>
</td>
<td nowrap="" style="border-bottom: 1pt solid windowtext; border-left: none; border-right: 1pt solid windowtext; border-top: none; height: 15pt; mso-border-bottom-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; padding: 0cm 5.4pt; width: 49.95pt;" valign="bottom" width="67">
<p align="right" class="MsoNormal" style="line-height: normal; margin-bottom: 0cm; text-align: right;"><span lang="IN">0<o:p></o:p></span></p>
</td>
<td nowrap="" style="border-bottom: 1pt solid windowtext; border-left: none; border-right: 1pt solid windowtext; border-top: none; height: 15pt; mso-border-bottom-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; padding: 0cm 5.4pt; width: 61.05pt;" valign="bottom" width="81">
<p align="right" class="MsoNormal" style="line-height: normal; margin-bottom: 0cm; text-align: right;"><span lang="IN">2<o:p></o:p></span></p>
</td>
<td nowrap="" style="border-bottom: 1pt solid windowtext; border-left: none; border-right: 1pt solid windowtext; border-top: none; height: 15pt; mso-border-bottom-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; padding: 0cm 5.4pt; width: 41.2pt;" valign="bottom" width="55">
<p align="right" class="MsoNormal" style="line-height: normal; margin-bottom: 0cm; text-align: right;"><span lang="IN">53<o:p></o:p></span></p>
</td>
<td nowrap="" style="border-bottom: 1pt solid windowtext; border-left: none; border-right: 1pt solid windowtext; border-top: none; height: 15pt; mso-border-bottom-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; padding: 0cm 5.4pt; width: 43.95pt;" valign="bottom" width="59">
<p align="right" class="MsoNormal" style="line-height: normal; margin-bottom: 0cm; text-align: right;"><span lang="IN">61<o:p></o:p></span></p>
</td>
<td nowrap="" style="height: 15pt; padding: 0cm 5.4pt; width: 13.65pt;" valign="bottom" width="18"></td>
<td nowrap="" style="height: 15pt; padding: 0cm 5.4pt; width: 73.8pt;" valign="bottom" width="98"></td>
<td nowrap="" style="height: 15pt; padding: 0cm 5.4pt; width: 79.45pt;" valign="bottom" width="106">
<p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm;"><span lang="IN">3=STRAWBERRY<o:p></o:p></span></p>
</td>
</tr>
<tr style="height: 15pt; mso-yfti-irow: 6;">
<td nowrap="" style="border-top: none; border: 1pt solid windowtext; height: 15pt; mso-border-bottom-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; padding: 0cm 5.4pt; width: 39.95pt;" valign="bottom" width="53">
<p align="right" class="MsoNormal" style="line-height: normal; margin-bottom: 0cm; text-align: right;"><span lang="IN">6<o:p></o:p></span></p>
</td>
<td nowrap="" style="border-bottom: 1pt solid windowtext; border-left: none; border-right: 1pt solid windowtext; border-top: none; height: 15pt; mso-border-bottom-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; padding: 0cm 5.4pt; width: 49.95pt;" valign="bottom" width="67">
<p align="right" class="MsoNormal" style="line-height: normal; margin-bottom: 0cm; text-align: right;"><span lang="IN">0<o:p></o:p></span></p>
</td>
<td nowrap="" style="border-bottom: 1pt solid windowtext; border-left: none; border-right: 1pt solid windowtext; border-top: none; height: 15pt; mso-border-bottom-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; padding: 0cm 5.4pt; width: 61.05pt;" valign="bottom" width="81">
<p align="right" class="MsoNormal" style="line-height: normal; margin-bottom: 0cm; text-align: right;"><span lang="IN">2<o:p></o:p></span></p>
</td>
<td nowrap="" style="border-bottom: 1pt solid windowtext; border-left: none; border-right: 1pt solid windowtext; border-top: none; height: 15pt; mso-border-bottom-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; padding: 0cm 5.4pt; width: 41.2pt;" valign="bottom" width="55">
<p align="right" class="MsoNormal" style="line-height: normal; margin-bottom: 0cm; text-align: right;"><span lang="IN">63<o:p></o:p></span></p>
</td>
<td nowrap="" style="border-bottom: 1pt solid windowtext; border-left: none; border-right: 1pt solid windowtext; border-top: none; height: 15pt; mso-border-bottom-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; padding: 0cm 5.4pt; width: 43.95pt;" valign="bottom" width="59">
<p align="right" class="MsoNormal" style="line-height: normal; margin-bottom: 0cm; text-align: right;"><span lang="IN">61<o:p></o:p></span></p>
</td>
<td nowrap="" style="height: 15pt; padding: 0cm 5.4pt; width: 13.65pt;" valign="bottom" width="18"></td>
<td nowrap="" style="height: 15pt; padding: 0cm 5.4pt; width: 73.8pt;" valign="bottom" width="98"></td>
<td nowrap="" style="height: 15pt; padding: 0cm 5.4pt; width: 79.45pt;" valign="bottom" width="106"></td>
</tr>
<tr style="height: 15pt; mso-yfti-irow: 7;">
<td nowrap="" style="border-top: none; border: 1pt solid windowtext; height: 15pt; mso-border-bottom-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; padding: 0cm 5.4pt; width: 39.95pt;" valign="bottom" width="53">
<p align="right" class="MsoNormal" style="line-height: normal; margin-bottom: 0cm; text-align: right;"><span lang="IN">7<o:p></o:p></span></p>
</td>
<td nowrap="" style="border-bottom: 1pt solid windowtext; border-left: none; border-right: 1pt solid windowtext; border-top: none; height: 15pt; mso-border-bottom-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; padding: 0cm 5.4pt; width: 49.95pt;" valign="bottom" width="67">
<p align="right" class="MsoNormal" style="line-height: normal; margin-bottom: 0cm; text-align: right;"><span lang="IN">0<o:p></o:p></span></p>
</td>
<td nowrap="" style="border-bottom: 1pt solid windowtext; border-left: none; border-right: 1pt solid windowtext; border-top: none; height: 15pt; mso-border-bottom-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; padding: 0cm 5.4pt; width: 61.05pt;" valign="bottom" width="81">
<p align="right" class="MsoNormal" style="line-height: normal; margin-bottom: 0cm; text-align: right;"><span lang="IN">2<o:p></o:p></span></p>
</td>
<td nowrap="" style="border-bottom: 1pt solid windowtext; border-left: none; border-right: 1pt solid windowtext; border-top: none; height: 15pt; mso-border-bottom-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; padding: 0cm 5.4pt; width: 41.2pt;" valign="bottom" width="55">
<p align="right" class="MsoNormal" style="line-height: normal; margin-bottom: 0cm; text-align: right;"><span lang="IN">53<o:p></o:p></span></p>
</td>
<td nowrap="" style="border-bottom: 1pt solid windowtext; border-left: none; border-right: 1pt solid windowtext; border-top: none; height: 15pt; mso-border-bottom-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; padding: 0cm 5.4pt; width: 43.95pt;" valign="bottom" width="59">
<p align="right" class="MsoNormal" style="line-height: normal; margin-bottom: 0cm; text-align: right;"><span lang="IN">61<o:p></o:p></span></p>
</td>
<td nowrap="" style="height: 15pt; padding: 0cm 5.4pt; width: 13.65pt;" valign="bottom" width="18"></td>
<td nowrap="" style="height: 15pt; padding: 0cm 5.4pt; width: 73.8pt;" valign="bottom" width="98"></td>
<td nowrap="" style="height: 15pt; padding: 0cm 5.4pt; width: 79.45pt;" valign="bottom" width="106"></td>
</tr>
<tr style="height: 15pt; mso-yfti-irow: 8;">
<td nowrap="" style="border-top: none; border: 1pt solid windowtext; height: 15pt; mso-border-bottom-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; padding: 0cm 5.4pt; width: 39.95pt;" valign="bottom" width="53">
<p align="right" class="MsoNormal" style="line-height: normal; margin-bottom: 0cm; text-align: right;"><span lang="IN">8<o:p></o:p></span></p>
</td>
<td nowrap="" style="border-bottom: 1pt solid windowtext; border-left: none; border-right: 1pt solid windowtext; border-top: none; height: 15pt; mso-border-bottom-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; padding: 0cm 5.4pt; width: 49.95pt;" valign="bottom" width="67">
<p align="right" class="MsoNormal" style="line-height: normal; margin-bottom: 0cm; text-align: right;"><span lang="IN">0<o:p></o:p></span></p>
</td>
<td nowrap="" style="border-bottom: 1pt solid windowtext; border-left: none; border-right: 1pt solid windowtext; border-top: none; height: 15pt; mso-border-bottom-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; padding: 0cm 5.4pt; width: 61.05pt;" valign="bottom" width="81">
<p align="right" class="MsoNormal" style="line-height: normal; margin-bottom: 0cm; text-align: right;"><span lang="IN">2<o:p></o:p></span></p>
</td>
<td nowrap="" style="border-bottom: 1pt solid windowtext; border-left: none; border-right: 1pt solid windowtext; border-top: none; height: 15pt; mso-border-bottom-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; padding: 0cm 5.4pt; width: 41.2pt;" valign="bottom" width="55">
<p align="right" class="MsoNormal" style="line-height: normal; margin-bottom: 0cm; text-align: right;"><span lang="IN">39<o:p></o:p></span></p>
</td>
<td nowrap="" style="border-bottom: 1pt solid windowtext; border-left: none; border-right: 1pt solid windowtext; border-top: none; height: 15pt; mso-border-bottom-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; padding: 0cm 5.4pt; width: 43.95pt;" valign="bottom" width="59">
<p align="right" class="MsoNormal" style="line-height: normal; margin-bottom: 0cm; text-align: right;"><span lang="IN">36<o:p></o:p></span></p>
</td>
<td nowrap="" style="height: 15pt; padding: 0cm 5.4pt; width: 13.65pt;" valign="bottom" width="18"></td>
<td nowrap="" style="height: 15pt; padding: 0cm 5.4pt; width: 73.8pt;" valign="bottom" width="98"></td>
<td nowrap="" style="height: 15pt; padding: 0cm 5.4pt; width: 79.45pt;" valign="bottom" width="106"></td>
</tr>
<tr style="height: 15pt; mso-yfti-irow: 9;">
<td nowrap="" style="border-top: none; border: 1pt solid windowtext; height: 15pt; mso-border-bottom-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; padding: 0cm 5.4pt; width: 39.95pt;" valign="bottom" width="53">
<p align="right" class="MsoNormal" style="line-height: normal; margin-bottom: 0cm; text-align: right;"><span lang="IN">9<o:p></o:p></span></p>
</td>
<td nowrap="" style="border-bottom: 1pt solid windowtext; border-left: none; border-right: 1pt solid windowtext; border-top: none; height: 15pt; mso-border-bottom-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; padding: 0cm 5.4pt; width: 49.95pt;" valign="bottom" width="67">
<p align="right" class="MsoNormal" style="line-height: normal; margin-bottom: 0cm; text-align: right;"><span lang="IN">0<o:p></o:p></span></p>
</td>
<td nowrap="" style="border-bottom: 1pt solid windowtext; border-left: none; border-right: 1pt solid windowtext; border-top: none; height: 15pt; mso-border-bottom-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; padding: 0cm 5.4pt; width: 61.05pt;" valign="bottom" width="81">
<p align="right" class="MsoNormal" style="line-height: normal; margin-bottom: 0cm; text-align: right;"><span lang="IN">2<o:p></o:p></span></p>
</td>
<td nowrap="" style="border-bottom: 1pt solid windowtext; border-left: none; border-right: 1pt solid windowtext; border-top: none; height: 15pt; mso-border-bottom-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; padding: 0cm 5.4pt; width: 41.2pt;" valign="bottom" width="55">
<p align="right" class="MsoNormal" style="line-height: normal; margin-bottom: 0cm; text-align: right;"><span lang="IN">58<o:p></o:p></span></p>
</td>
<td nowrap="" style="border-bottom: 1pt solid windowtext; border-left: none; border-right: 1pt solid windowtext; border-top: none; height: 15pt; mso-border-bottom-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; padding: 0cm 5.4pt; width: 43.95pt;" valign="bottom" width="59">
<p align="right" class="MsoNormal" style="line-height: normal; margin-bottom: 0cm; text-align: right;"><span lang="IN">51<o:p></o:p></span></p>
</td>
<td nowrap="" style="height: 15pt; padding: 0cm 5.4pt; width: 13.65pt;" valign="bottom" width="18"></td>
<td nowrap="" style="height: 15pt; padding: 0cm 5.4pt; width: 73.8pt;" valign="bottom" width="98"></td>
<td nowrap="" style="height: 15pt; padding: 0cm 5.4pt; width: 79.45pt;" valign="bottom" width="106"></td>
</tr>
<tr style="height: 15pt; mso-row-margin-right: 166.9pt; mso-yfti-irow: 10;">
<td nowrap="" style="border-top: none; border: 1pt solid windowtext; height: 15pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0cm 5.4pt; width: 39.95pt;" valign="bottom" width="53">
<p align="right" class="MsoNormal" style="line-height: normal; margin-bottom: 0cm; text-align: right;"><span lang="IN">...<o:p></o:p></span></p>
</td>
<td nowrap="" style="border-bottom: 1pt solid windowtext; border-left: none; border-right: 1pt solid windowtext; border-top: none; height: 15pt; mso-border-bottom-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0cm 5.4pt; width: 49.95pt;" valign="bottom" width="67">
<p align="right" class="MsoNormal" style="line-height: normal; margin-bottom: 0cm; text-align: right;"><span lang="IN">...<o:p></o:p></span></p>
</td>
<td nowrap="" style="border-bottom: 1pt solid windowtext; border-left: none; border-right: 1pt solid windowtext; border-top: none; height: 15pt; mso-border-bottom-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0cm 5.4pt; width: 61.05pt;" valign="bottom" width="81">
<p align="right" class="MsoNormal" style="line-height: normal; margin-bottom: 0cm; text-align: right;"><span lang="IN">...<o:p></o:p></span></p>
</td>
<td nowrap="" style="border-bottom: 1pt solid windowtext; border-left: none; border-right: 1pt solid windowtext; border-top: none; height: 15pt; mso-border-bottom-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0cm 5.4pt; width: 41.2pt;" valign="bottom" width="55">
<p align="right" class="MsoNormal" style="line-height: normal; margin-bottom: 0cm; text-align: right;"><span lang="IN">...<o:p></o:p></span></p>
</td>
<td nowrap="" style="border-bottom: 1pt solid windowtext; border-left: none; border-right: 1pt solid windowtext; border-top: none; height: 15pt; mso-border-bottom-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0cm 5.4pt; width: 43.95pt;" valign="bottom" width="59">
<p align="right" class="MsoNormal" style="line-height: normal; margin-bottom: 0cm; text-align: right;"><span lang="IN">...<o:p></o:p></span></p>
</td>
<td colspan="3" style="border: none; mso-cell-special: placeholder; padding: 0cm;" width="223"><p class="MsoNormal"> </p></td>
</tr>
<tr style="height: 15pt; mso-row-margin-right: 166.9pt; mso-yfti-irow: 11;">
<td nowrap="" style="border-top: none; border: 1pt solid windowtext; height: 15pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0cm 5.4pt; width: 39.95pt;" valign="bottom" width="53">
<p align="right" class="MsoNormal" style="line-height: normal; margin-bottom: 0cm; text-align: right;"><span lang="IN">198<o:p></o:p></span></p>
</td>
<td nowrap="" style="border-bottom: 1pt solid windowtext; border-left: none; border-right: 1pt solid windowtext; border-top: none; height: 15pt; mso-border-bottom-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0cm 5.4pt; width: 49.95pt;" valign="bottom" width="67">
<p align="right" class="MsoNormal" style="line-height: normal; margin-bottom: 0cm; text-align: right;"><span lang="IN">1<o:p></o:p></span></p>
</td>
<td nowrap="" style="border-bottom: 1pt solid windowtext; border-left: none; border-right: 1pt solid windowtext; border-top: none; height: 15pt; mso-border-bottom-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0cm 5.4pt; width: 61.05pt;" valign="bottom" width="81">
<p align="right" class="MsoNormal" style="line-height: normal; margin-bottom: 0cm; text-align: right;"><span lang="IN">2<o:p></o:p></span></p>
</td>
<td nowrap="" style="border-bottom: 1pt solid windowtext; border-left: none; border-right: 1pt solid windowtext; border-top: none; height: 15pt; mso-border-bottom-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0cm 5.4pt; width: 41.2pt;" valign="bottom" width="55">
<p align="right" class="MsoNormal" style="line-height: normal; margin-bottom: 0cm; text-align: right;"><span lang="IN">55<o:p></o:p></span></p>
</td>
<td nowrap="" style="border-bottom: 1pt solid windowtext; border-left: none; border-right: 1pt solid windowtext; border-top: none; height: 15pt; mso-border-bottom-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0cm 5.4pt; width: 43.95pt;" valign="bottom" width="59">
<p align="right" class="MsoNormal" style="line-height: normal; margin-bottom: 0cm; text-align: right;"><span lang="IN">52<o:p></o:p></span></p>
</td>
<td colspan="3" style="border: none; mso-cell-special: placeholder; padding: 0cm;" width="223"><p class="MsoNormal"> </p></td>
</tr>
<tr style="height: 15pt; mso-row-margin-right: 166.9pt; mso-yfti-irow: 12;">
<td nowrap="" style="border-top: none; border: 1pt solid windowtext; height: 15pt; mso-border-bottom-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; padding: 0cm 5.4pt; width: 39.95pt;" valign="bottom" width="53">
<p align="right" class="MsoNormal" style="line-height: normal; margin-bottom: 0cm; text-align: right;"><span lang="IN">199<o:p></o:p></span></p>
</td>
<td nowrap="" style="border-bottom: 1pt solid windowtext; border-left: none; border-right: 1pt solid windowtext; border-top: none; height: 15pt; mso-border-bottom-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; padding: 0cm 5.4pt; width: 49.95pt;" valign="bottom" width="67">
<p align="right" class="MsoNormal" style="line-height: normal; margin-bottom: 0cm; text-align: right;"><span lang="IN">1<o:p></o:p></span></p>
</td>
<td nowrap="" style="border-bottom: 1pt solid windowtext; border-left: none; border-right: 1pt solid windowtext; border-top: none; height: 15pt; mso-border-bottom-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; padding: 0cm 5.4pt; width: 61.05pt;" valign="bottom" width="81">
<p align="right" class="MsoNormal" style="line-height: normal; margin-bottom: 0cm; text-align: right;"><span lang="IN">2<o:p></o:p></span></p>
</td>
<td nowrap="" style="border-bottom: 1pt solid windowtext; border-left: none; border-right: 1pt solid windowtext; border-top: none; height: 15pt; mso-border-bottom-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; padding: 0cm 5.4pt; width: 41.2pt;" valign="bottom" width="55">
<p align="right" class="MsoNormal" style="line-height: normal; margin-bottom: 0cm; text-align: right;"><span lang="IN">58<o:p></o:p></span></p>
</td>
<td nowrap="" style="border-bottom: 1pt solid windowtext; border-left: none; border-right: 1pt solid windowtext; border-top: none; height: 15pt; mso-border-bottom-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; padding: 0cm 5.4pt; width: 43.95pt;" valign="bottom" width="59">
<p align="right" class="MsoNormal" style="line-height: normal; margin-bottom: 0cm; text-align: right;"><span lang="IN">61<o:p></o:p></span></p>
</td>
<td colspan="3" style="border: none; mso-cell-special: placeholder; padding: 0cm;" width="223"><p class="MsoNormal"> </p></td>
</tr>
<tr style="height: 15pt; mso-row-margin-right: 166.9pt; mso-yfti-irow: 13; mso-yfti-lastrow: yes;">
<td nowrap="" style="border-top: none; border: 1pt solid windowtext; height: 15pt; mso-border-bottom-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; padding: 0cm 5.4pt; width: 39.95pt;" valign="bottom" width="53">
<p align="right" class="MsoNormal" style="line-height: normal; margin-bottom: 0cm; text-align: right;"><span lang="IN">200<o:p></o:p></span></p>
</td>
<td nowrap="" style="border-bottom: 1pt solid windowtext; border-left: none; border-right: 1pt solid windowtext; border-top: none; height: 15pt; mso-border-bottom-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; padding: 0cm 5.4pt; width: 49.95pt;" valign="bottom" width="67">
<p align="right" class="MsoNormal" style="line-height: normal; margin-bottom: 0cm; text-align: right;"><span lang="IN">1<o:p></o:p></span></p>
</td>
<td nowrap="" style="border-bottom: 1pt solid windowtext; border-left: none; border-right: 1pt solid windowtext; border-top: none; height: 15pt; mso-border-bottom-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; padding: 0cm 5.4pt; width: 61.05pt;" valign="bottom" width="81">
<p align="right" class="MsoNormal" style="line-height: normal; margin-bottom: 0cm; text-align: right;"><span lang="IN">3<o:p></o:p></span></p>
</td>
<td nowrap="" style="border-bottom: 1pt solid windowtext; border-left: none; border-right: 1pt solid windowtext; border-top: none; height: 15pt; mso-border-bottom-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; padding: 0cm 5.4pt; width: 41.2pt;" valign="bottom" width="55">
<p align="right" class="MsoNormal" style="line-height: normal; margin-bottom: 0cm; text-align: right;"><span lang="IN">53<o:p></o:p></span></p>
</td>
<td nowrap="" style="border-bottom: 1pt solid windowtext; border-left: none; border-right: 1pt solid windowtext; border-top: none; height: 15pt; mso-border-bottom-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; padding: 0cm 5.4pt; width: 43.95pt;" valign="bottom" width="59">
<p align="right" class="MsoNormal" style="line-height: normal; margin-bottom: 0cm; text-align: right;"><span lang="IN">61<o:p></o:p></span></p>
</td>
<td colspan="3" style="border: none; mso-cell-special: placeholder; padding: 0cm;" width="223"><p class="MsoNormal"> </p></td>
</tr>
</tbody></table></div><div><br /></div><div>Selanjutnya kita akan melakukan analisis menggunakan spss.</div><div>Pertama buka program SPSS terlebih dahulu kemudian masukkan variabelnya di variable view.</div><div><br /></div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiivO-T2zxQz4zB4lPgG4_Dgzb9Kffjwrftp-hhLvZeWjnIu2M8rWLeyppw-cOeC6ZQvwOj7XQ0eC7NsO1uZXFIGcaqnxRQfoMICaBYPL0LTUqM476ETPK1k4HDzGgBtMe5o-2RmHIZykk/s1039/1..png" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="112" data-original-width="1039" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiivO-T2zxQz4zB4lPgG4_Dgzb9Kffjwrftp-hhLvZeWjnIu2M8rWLeyppw-cOeC6ZQvwOj7XQ0eC7NsO1uZXFIGcaqnxRQfoMICaBYPL0LTUqM476ETPK1k4HDzGgBtMe5o-2RmHIZykk/s16000/1..png" /></a></div><div><br /></div><div>Pada variabel gender dan ice_cream tambahkan values :</div><div>Gender : 0 (Male) dan 1 (Female)</div><div>Ice Cream : 1 (Cokelat) dan 2 (Vanilla), 3(Strawberry)</div><div><br /></div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi3It3SNxl9exhvnL9iTcJzKFwMsb7V8XRjWg8_8f6b-rKI7OM5SDILCPxfkYBF79uptDeCnSggFeJxs8cWXsfhE0XT-tr6nhxREckd-1pjKHTNQttgvLRk4j4z74FV1UvPu09jBBHrOSI/s464/2..png" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="296" data-original-width="464" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi3It3SNxl9exhvnL9iTcJzKFwMsb7V8XRjWg8_8f6b-rKI7OM5SDILCPxfkYBF79uptDeCnSggFeJxs8cWXsfhE0XT-tr6nhxREckd-1pjKHTNQttgvLRk4j4z74FV1UvPu09jBBHrOSI/s16000/2..png" /></a></div><div><br /></div>Di data view masukkan semua data di masing-masing variabel.<div><br /><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgrNuh0bce809p9LeZwqHnMgesUNxH684lk9jDHMcwGGln_5nf2puFTDOBthjUifTbSSj6gx9U3ZPQt2H3UEJ9PcrXTDLlz_Wzz5La4xwavk1Xb75ZC5v-PZkvb-WH1xQm6JfA9BYlVGwI/s409/3..png" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="205" data-original-width="409" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgrNuh0bce809p9LeZwqHnMgesUNxH684lk9jDHMcwGGln_5nf2puFTDOBthjUifTbSSj6gx9U3ZPQt2H3UEJ9PcrXTDLlz_Wzz5La4xwavk1Xb75ZC5v-PZkvb-WH1xQm6JfA9BYlVGwI/s16000/3..png" /></a></div><br /><div>Kemudian pilih menu analyze kemudian pilih regression, multinomial logistic. Pindahkan variabel ice_cream kedalam kotak dependent, variabel gender kedalam kotak factor, dan variabel video dan puzzle kedalam kotak covariates. </div><div><br /></div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgjOBUBXEmYseda_vrzCFaQBPXVwbUFb5ukChKPtDASsn1EM-H5I0uIzhitmv2_ASn2DNoJ6G3dTmBsBPrINQOJbbeO2HSynZQ2UvyaWvl_oiSpGLu_BKlqB45ixn85t4QB_S_XYwzi-qw/s472/4..png" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="391" data-original-width="472" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgjOBUBXEmYseda_vrzCFaQBPXVwbUFb5ukChKPtDASsn1EM-H5I0uIzhitmv2_ASn2DNoJ6G3dTmBsBPrINQOJbbeO2HSynZQ2UvyaWvl_oiSpGLu_BKlqB45ixn85t4QB_S_XYwzi-qw/s16000/4..png" /></a></div><br /><div>Setelah itu masuk ke submenu reference category yang berada dibawah kotak dependent. Pilih last category pada reference category dan ascending pada category order.</div></div><div><br /></div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjO78Z5ZDGHBtlMz9OPAc9zJjQqoPYfD0LQbNmy-J8sFY6mnkMyIlAG9GWcNDHV_dZPpiSAr-wZt7d0XQFZQWC-StTCKxGxwxeP5IgEF72GEkhy1n1BpF-UUSudLyOQtQ_b7p0lKFmwPHI/s301/5..png" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="301" data-original-width="239" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjO78Z5ZDGHBtlMz9OPAc9zJjQqoPYfD0LQbNmy-J8sFY6mnkMyIlAG9GWcNDHV_dZPpiSAr-wZt7d0XQFZQWC-StTCKxGxwxeP5IgEF72GEkhy1n1BpF-UUSudLyOQtQ_b7p0lKFmwPHI/s0/5..png" /></a></div><br /><div>Selanjutnya pilih submenu statistics, di modelnya tandai pseudo r-square, step summary, model fitting information, classification table, dan goodness-of-fit. Sedangkan pada parameternya tandai estimates dan likelihood ratio tests , lalu continue</div><div><br /></div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEisAtbWZY8nCnyXnO3eObzMF3Qkora4e0Gt_JMywvfKIZm6Hqss23ZbCpmfUkjYiAy5-WG5zZQeqk5NnVQAPIjDXixbg2CaLVa0hLBAhXXVmiP-RaDmJsgGPHjH_J5acMtJN3tblJblgqY/s622/6..png" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="622" data-original-width="411" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEisAtbWZY8nCnyXnO3eObzMF3Qkora4e0Gt_JMywvfKIZm6Hqss23ZbCpmfUkjYiAy5-WG5zZQeqk5NnVQAPIjDXixbg2CaLVa0hLBAhXXVmiP-RaDmJsgGPHjH_J5acMtJN3tblJblgqY/s16000/6..png" /></a></div><br /><div>Untuk pembahasannya ditunggu di Next Post ya. thank you</div>Jimmy Pujosenohttp://www.blogger.com/profile/17973647737656365646noreply@blogger.com1tag:blogger.com,1999:blog-7652763575876291773.post-51408833432626589732020-10-17T06:14:00.004+07:002022-05-31T15:46:25.394+07:00Pembahasan Analisis Logliniear Menggunakan SPSS<p>Setelah melakukan langkah kerja di post sebelumnya <a href="https://thinkstudioo.blogspot.com/2020/10/analisis-logliniear-menggunakan-spss.html" target="_blank">ANALISIS LOGLINIEAR MENGGUNAKAN SPSS</a> , pada post ini kita akan menjelaskan tentang outputnya</p><p>Berikut hasil tabel kontigensinya</p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgCEefVFHIPazCxcqEyE88vB9ynFuxUPKD2pV4byW9ELZ7yeCn94xMEGYfcu-Yjl06YSAROGisTsjvJAegQC0q88CPJ3gk7mY2VzRCVlBuf4ibfL5XuSRn6J5I-aeRtxsWBHgqkgF_mDDc/s378/11..jpg" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="216" data-original-width="378" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgCEefVFHIPazCxcqEyE88vB9ynFuxUPKD2pV4byW9ELZ7yeCn94xMEGYfcu-Yjl06YSAROGisTsjvJAegQC0q88CPJ3gk7mY2VzRCVlBuf4ibfL5XuSRn6J5I-aeRtxsWBHgqkgF_mDDc/s16000/11..jpg" /></a></div><p>Pengujian keseluruhan interaksi antar variabel dengan menggunakan tabel output K-way and Higher-Order Effects. Dalam tabel tersebut terdapat 2 buah model pengujian dengan menggunakan nilai signifikansi dari K-way and Higher Order Effects* dan K-way Effects* yang masing-masing akan melakukan pengujian dengan menganalisis orde ke- k. Nilai yang digunakan untuk mengetahui keputusannya adalah nilai signifikansi (p-value).</p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi-HnE_lO8qT5z_IbHxb44BzbaEexLtjgsjSJ0iPuxq02NvS8ji2AkYIJ6QOnWrM00P1c9HAWtY2XxULPMDPSnRuDJSsTnUTRaOYUVnVjEPtBAjwQEZsRmVdMpohyCCPhUmn489b1iu5CM/s690/12..jpg" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="269" data-original-width="690" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi-HnE_lO8qT5z_IbHxb44BzbaEexLtjgsjSJ0iPuxq02NvS8ji2AkYIJ6QOnWrM00P1c9HAWtY2XxULPMDPSnRuDJSsTnUTRaOYUVnVjEPtBAjwQEZsRmVdMpohyCCPhUmn489b1iu5CM/s16000/12..jpg" /></a></div><p><b>Uji Hipotesis K-Way and Higher-Order Effects</b></p><p><b>- Untuk orde ke- k=1 atau lebih</b></p><p>-- Hipotesis</p><p>H0: </p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhUeUOdbeRFYGk4Ha8i29fSAnswkHsq7AkXJIHM9kYRqiLlK7uVbCBvkFv34Mp7IdeQfj3CqrKrQwwg5MBpJeBBS10F1GwjXVZj6VeJ78lebajN27Vl1Q1Zyr7U4moCSuasIYtdvyfWWBs/s601/2.PNG" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="74" data-original-width="601" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhUeUOdbeRFYGk4Ha8i29fSAnswkHsq7AkXJIHM9kYRqiLlK7uVbCBvkFv34Mp7IdeQfj3CqrKrQwwg5MBpJeBBS10F1GwjXVZj6VeJ78lebajN27Vl1Q1Zyr7U4moCSuasIYtdvyfWWBs/s16000/2.PNG" /></a></div><p></p><p>H1 : ada salah satu λ yg ≠ 0(efek orde ke – 1 atau lebih ≠ 0)</p><p>-- Tingkat Signifikansi (α) = 0,05</p><p>-- Statistik Uji</p><p>Dengan menggunakan metode Likelihood Ratio, diperoleh X_hitung^2= 5036,789 dan nilai sig. = 0.000.</p><p>-- Keputusan </p><p>Tolak H0 , karena nilai sig. (0,000) < <span style="font-family: Symbol; font-size: 12pt;">a</span> (0,05)</p><p>-- Kesimpulan</p><p>Dengan menggunakan tingkat signifikansi 0,05 diperoleh keputusan untuk menolak H0 , yang berarti bahwa ada salah satu λ yg ≠ 0.</p><p><b>- Untuk orde ke- k=2 atau lebih</b></p><p>-- Hipotesis</p><p>H0 :</p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh8A-lkiYDCn6j5vLGvTq9V1D7GspfayfNKaPPnVTckH8x5EJ51a17WReym-ahGDU1H8ogaA_vpWTbTZVozwbwWwwwTiwp341KrwlWq8TTswTnBB8ZDy3eeaYIGY-790Z_FjJjONkGQpt4/s624/3.PNG" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="67" data-original-width="624" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh8A-lkiYDCn6j5vLGvTq9V1D7GspfayfNKaPPnVTckH8x5EJ51a17WReym-ahGDU1H8ogaA_vpWTbTZVozwbwWwwwTiwp341KrwlWq8TTswTnBB8ZDy3eeaYIGY-790Z_FjJjONkGQpt4/s16000/3.PNG" /></a></div><p></p><p>H1<span style="white-space: pre;"> </span>: ada salah satu λ yg ≠ 0 (efek orde ke – 2 atau lebih ≠ 0)</p><p>-- Tingkat Signifikansi (α) = 0,05</p><p>-- Statistik Uji</p><p>Dengan menggunakan metode Likelihood Ratio, diperoleh X_hitung^2= 3603,713 dan nilai sig. = 0.000.</p><p>-- Keputusan </p><p>Tolak H0 , karena nilai sig. (0,000..) < <span style="font-family: Symbol; font-size: 12pt;">a</span> (0,05)</p><p>-- Kesimpulan</p><p>Dengan menggunakan tingkat signifikansi 0,05 diperoleh keputusan untuk menolak H0 , yang berarti bahwa ada salah satu λ yg ≠ 0.</p><p><b>- Untuk orde ke- k=3 atau lebih</b></p><p>-- Hipotesis</p><p>H0 :λ^SUK=0(efek orde ke – 3 atau lebih = 0)</p><p>H1 :ada salah satu λ yg ≠ 0 (efek orde ke – 3 atau lebih ≠ 0)</p><p>- Tingkat Signifikansi (α) = 0,05</p><p>- Statistik Uji</p><p>Dengan menggunakan metode Likelihood Ratio, diperoleh</p><p>X_hitung^2= 0, 00 dan nilai sig. = 1.000</p><p>- Keputusan </p><p>Gagal Tolak H0 , karena nilai sig. (1,000) > <span style="font-family: Symbol; font-size: 12pt;">a</span> (0,05)</p><p>- Kesimpulan</p><p>Dengan menggunakan tingkat signifikansi 0,05 diperoleh keputusan untuk menolak H0 , yang berarti bahwa λ^SUK=0.</p><div><b>Uji Hipotesis K-Way Effects*</b></div><div><b><br /></b></div><div><b>- Untuk orde ke- k=1 </b></div><div><div><br /></div><div>-- Hipotesis</div><div><br /></div><div>H0 :</div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiZtIZwK7YxsRwSe7Wv245GOHBVrRJuvZ0iory9n-1lEd6rmOkZCjZI2RsrHKVuLb9yRzFjKX1SHdh8QJRibvQpCMTLEDWBsIL4Xy7Yro1DtZzojtKtB1_gvvg2oRzv36PGQQjE4AsHKbE/s461/4.PNG" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="32" data-original-width="461" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiZtIZwK7YxsRwSe7Wv245GOHBVrRJuvZ0iory9n-1lEd6rmOkZCjZI2RsrHKVuLb9yRzFjKX1SHdh8QJRibvQpCMTLEDWBsIL4Xy7Yro1DtZzojtKtB1_gvvg2oRzv36PGQQjE4AsHKbE/s16000/4.PNG" /></a></div><div>Hi : ada salah satu λ yg ≠ 0 (efek orde ke – 1 ≠ 0) </div><div><br /></div><div>-- Tingkat Signifikansi (α) = 0,05</div><div><br /></div><div>-- Statistik Uji</div><div><br /></div><div>Dengan menggunakan metode Likelihood Ratio, diperoleh</div><div>X_hitung^2= 1433,075 nilai sig. = 0.000.</div><div><br /></div><div>-- Keputusan </div><div><br /></div><div>Tolak H0 , karena nilai sig. (0,000) < <span style="font-family: Symbol; font-size: 12pt;">a</span> (0,05)</div><div><br /></div><div>-- Kesimpulan</div><div><br /></div><div>Dengan menggunakan tingkat signifikansi 0,05 diperoleh keputusan untuk menolak H0 , yang berarti bahwa ada salah satu λ yg ≠ 0.</div><div><br /></div><div><b>- Untuk orde ke- k=2</b></div><div><br /></div><div>-- Hipotesis</div><div><br /></div><div>H0 :</div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgG6SiFwpNvFMllAQTmUZt8A6vMdCNfhSXWmMQU6GTCCe1M2ZWidNO-HZtoL_WIqMPwvo5-a3f_xjUEy59I6A2jJ2f2IisOeb8sHEr1KJasc_pG1LxyYVKWVa0o0tqXKEYwjkKIkH2Fiy0/s640/5.PNG" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="30" data-original-width="640" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgG6SiFwpNvFMllAQTmUZt8A6vMdCNfhSXWmMQU6GTCCe1M2ZWidNO-HZtoL_WIqMPwvo5-a3f_xjUEy59I6A2jJ2f2IisOeb8sHEr1KJasc_pG1LxyYVKWVa0o0tqXKEYwjkKIkH2Fiy0/s16000/5.PNG" /></a></div><div>H1<span style="white-space: pre;"> </span>: ada salah satu λ yg ≠ 0 (efek orde ke – 2 ≠ 0)</div><div><br /></div><div>-- Tingkat Signifikansi (α) = 0,05</div><div><br /></div><div>-- Statistik Uji</div><div><br /></div><div>Dengan menggunakan metode Likelihood Ratio, diperoleh</div><div>X_hitung^2= 3603,075 dan nilai sig. = 0.000.</div><div><br /></div><div>-- Keputusan </div><div><br /></div><div>Tolak H0 , karena nilai sig. (0,000) < <span style="font-family: Symbol; font-size: 12pt;">a</span> (0,05)</div><div><br /></div><div>-- Kesimpulan</div><div><br /></div><div>Dengan menggunakan tingkat signifikansi 0,05 diperoleh keputusan untuk menolak H0 , yang berarti bahwa ada salah satu λ yg ≠ 0.</div><div><br /></div><div><b>- Untuk orde ke- k=3</b></div><div><br /></div><div>-- Hipotesis</div><div><br /></div><div>H0 : λ^SUK=0; (efek orde ke – 3 = 0)</div><div>H1<span style="white-space: pre;"> </span>: ada salah satu λ yg ≠ 0 (efek orde ke – 3 ≠ 0)</div><div><br /></div><div>-- Tingkat Signifikansi (α) = 0,05</div><div><br /></div><div>-- Statistik Uji</div><div><br /></div><div>Dengan menggunakan metode Likelihood Ratio, diperoleh</div><div>X_hitung^2= 2,917 dan nilai sig. = 1.000.</div><div><br /></div><div>-- Keputusan </div><div><br /></div><div>Gagal Tolak H0 , karena nilai sig. (1) > <span style="font-family: Symbol; font-size: 12pt;">a</span> (0,05)</div><div><br /></div><div>-- Kesimpulan</div><div><br /></div><div>Dengan menggunakan tingkat signifikansi 0,05 diperoleh keputusan untuk gagal menolak H0 , yang berarti bahwa λ^SUK=0.</div><div style="font-weight: bold;"><br /></div></div><div>Dari serangkaian uji menggunakan K-way and Higher Order Effects* dan K-way Effects*, dapat disimpulkan bahwa efek orde ke – 3 tidak signifikan sehingga tidak dapat dimasukkan kedalam model. Untuk menentukan Ho nya maka dalam penentuan variabel apa saja yang akan muncul, dapat berpatokan kepada df (degree of freedom) dari setiap orde itu sendiri. Contohnya, pada efek orde ke -1 atau lebih, df = 11. Sehingga ada 11 variabel yang akan terbentuk dan dapat dimasukkan ke dalam hipotesis. Uji menggunakan K-way and Higher Order Effects* dan K-way Effects* ini, untuk mengetahui ada atau tidak efek/interaksi antar variabel. Sehingga setiap variabel dapat diuji signifikansinya.</div><div><br /></div><div><b>Model Terbaik (Backwards Elimination)</b></div><div><br /></div><div>Berdasarkan hasil penentuan model di atas, maka diperoleh model log linear, namun model tersebut belum model terbaik dari yang ada. Maka dilakukan serangkaian pengujian agar memperoleh model yang terbaik atau representatif menggunakan output Backwards Elimination pada hasil SPSS. Dalam pengujian ini, kita hanya menampilkan uji hipotesis yang terakhir berupa model yang telah sesuai yang diperoleh dari kolom Generating Class, sedangkan kolom Defected effect merupakan hasil faktor yang di eliminasi satu persatu oleh komputer yang dikeluarkan secara otomatis. Sehingga untuk melihat model yang terbaik dapat diperoleh pada eliminasi ke tiga (terakhir) dengan melihat variabel yang signifikan pada kolom Generating Class.</div><div><br /></div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjX90nltAYKgM2bfDDbDf6pv2SEdNizHqSGWFsresKTuSxdeXzXjIudHeRN-B4ZwlvZ2NM4p7cOyN2syBrE0gcsoDGoao8V1XE5bCfIc0YPuDE6DrY3yUTkKcHyoScw2IhyphenhyphenywxG4eE6pWI/s663/13..jpg" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="571" data-original-width="663" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjX90nltAYKgM2bfDDbDf6pv2SEdNizHqSGWFsresKTuSxdeXzXjIudHeRN-B4ZwlvZ2NM4p7cOyN2syBrE0gcsoDGoao8V1XE5bCfIc0YPuDE6DrY3yUTkKcHyoScw2IhyphenhyphenywxG4eE6pWI/s16000/13..jpg" /></a></div><br /><div><div>- Hipotesis</div><div><br /></div><div>H0: </div><div><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi25Usj4VwrWPskLvELy9EC1oRhXyayfEecGaFCMJf1IzaQmPVvBJMnph8LaBdIKSVQJ9dOMyvf_zv_DjoLveFXvg1y3hjpaD5BVhJGUTsoQ1aW7RxW4zNeSXYivv4ymR0fh1IoKUG43wg/s415/6.PNG" style="margin-left: 1em; margin-right: 1em; text-align: center;"><img border="0" data-original-height="32" data-original-width="415" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi25Usj4VwrWPskLvELy9EC1oRhXyayfEecGaFCMJf1IzaQmPVvBJMnph8LaBdIKSVQJ9dOMyvf_zv_DjoLveFXvg1y3hjpaD5BVhJGUTsoQ1aW7RxW4zNeSXYivv4ymR0fh1IoKUG43wg/s16000/6.PNG" /></a></div><div>H1 : Model lengkap</div><div><br /></div><div>- Tingkat Signifikansi (α/2) = 0,025</div><div><br /></div><div>- Daerah Kritis</div><div><br /></div><div>Tolak Ho, p-value <α (0,025)</div><div><br /></div><div>- Statistik Uji</div><div><br /></div><div>Dengan menggunakan metode Likelihood Ratio, diperoleh</div><div>X_hitung^2= 370,011 dan nilai sig. = 0.00</div><div><br /></div><div>- Keputusan </div><div><br /></div><div>Tolak H0 , karena nilai sig. (0,00) < α (0,025)</div><div><br /></div><div>- Kesimpulan</div><div><br /></div><div>Dengan menggunakan tingkat signifikansi 0,00 diperoleh keputusan tolak H0 , yang berarti bahwa </div><div><br /></div><div><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiZ5HNK5aTlqBrcPoNPIwKi0JkcMNzPApd0sGoLJGYNoL8q2HjVU9ALPOI10_iMt2KqxnmsgnlqK2JapjivjgBqb4chzkHCqGk67UN9hLqJLnb3D3zn57pssmwNhbHxISRg_d1UBHL2sXc/s267/7.PNG" style="margin-left: 1em; margin-right: 1em; text-align: center;"><img border="0" data-original-height="29" data-original-width="267" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiZ5HNK5aTlqBrcPoNPIwKi0JkcMNzPApd0sGoLJGYNoL8q2HjVU9ALPOI10_iMt2KqxnmsgnlqK2JapjivjgBqb4chzkHCqGk67UN9hLqJLnb3D3zn57pssmwNhbHxISRg_d1UBHL2sXc/s0/7.PNG" /></a>bukan model sesuai.</div><div><br /></div><div>Mungkin sekian untuk post kali ini terimakasih sudah mampir</div><div><br /></div></div>Jimmy Pujosenohttp://www.blogger.com/profile/17973647737656365646noreply@blogger.com0tag:blogger.com,1999:blog-7652763575876291773.post-54508769057666664102020-10-15T09:52:00.002+07:002022-05-31T15:46:25.394+07:00ANALISIS LOGLINIEAR MENGGUNAKAN SPSS<p>Oke guys kali ini kita akan bahas terkait analisis logliniear yak, untuk pembahasan dari analisis ini kalian bisa lia di <a href="https://thinkstudioo.blogspot.com/2020/10/pembahasan-analisis-logliniear.html" target="_blank">Pembahasan Analisis Loglinear menggunakan SPSS</a>. Sebelum itu kita harus paham dulu apa itu loglinear ya.</p><p><b>Analisis Loglinear</b></p><p>Data yang bersifat kategori dan dapat dibentuk ke dalam suatu tabel kontingensi, dapat dianalisis dengan menggunakan analisis log linier. Model log linier digunakan untuk menganalisis atau mempelajari pola asosiasi antara beberapa variabel yang diperhatikan merupakan variabel kategorik, dimana pola hubungan atau asosiasi antar peubahnya dilihat dari interaksi antar peubah itu sendiri.</p><p>Dengan menggunakan pendekatan log linier bisa diketahui model matematikanya secara pasti serta level atau kelas mana yang cenderung menimbulkan adanya hubungan atau dependensi. Pada tabel kontingensi dua dimensi terdiri dari dua faktor, yaitu faktor I sebagai faktor baris dan faktor J sebagai factor kolom. Jika kedua faktor ini independen, maka peluang pengamatan 𝜋ij= 𝜋i+ .𝜋+j, </p><p>dimana :i = 1, 2, . . ., I</p><p>j = 1, 2, . . ., J</p><p>dimana frekuensi nilai harapannya adalah sebagai berikut. </p><p>𝑚𝑖𝑗<span style="white-space: pre;"> </span>= 𝑛++𝜋𝑖𝑗</p><p>= 𝑛++𝜋𝑖+𝜋+𝑗</p><p>Jika persamaan tersebut dinyatakan dalam bentuk</p><p>logaritma, maka didapatkan :</p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjbTw0_LoMKPIoniN4C8QVxbh-FFAbEqTz1gOsOhZX3P_uYD41O9Zo8R-uRi8SoIP5_nroU9Uz4jG_4WoCLWplglHEIjDQJbfFXeZX_pkG4Dq2YDlM6mHI5GaQHFwkELu0t07PGPxwOWk8/s540/1.PNG" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="126" data-original-width="540" height="93" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjbTw0_LoMKPIoniN4C8QVxbh-FFAbEqTz1gOsOhZX3P_uYD41O9Zo8R-uRi8SoIP5_nroU9Uz4jG_4WoCLWplglHEIjDQJbfFXeZX_pkG4Dq2YDlM6mHI5GaQHFwkELu0t07PGPxwOWk8/w400-h93/1.PNG" width="400" /></a></div><div><b>Prinsip Dasar Analisis log linier</b></div><div><div><ol style="text-align: left;"><li>Data yang digunakan dalam analisis log linier adalah data yang bersifat kategorik dan dapat dibentuk dalam suatu tabel kontingensi.</li><li>Analisis log linier digunakan untuk menganalisis pola hubungan antar sekelompok variabel kategori yang mencakup asosiasi dua variabel, asosiasi tiga variabel atau lebih, baik secara simultan maupun secara parsial. Pola hubungan antar variabel dapat dilihat dari interaksi antar variabel itu sendiri. Analisis log linier tidak membedakan antara variabel penjelas dan variabel respon.</li><li>Dapat dilihat pola hubungan antara beberapa variabel, termasuk kemungkinan adanya hubungan sebab akibat atau hubungan kausal diantara variabel-variabel tersebut.</li></ol></div><div><b>Kasus</b></div><div><b><br /></b></div><div>Tabel dibawah adalah data dari survey yang dilakukan dibeberapa kota besar terhadap murid dalam tahun terakhir di SLTA. Survei berkaitan dengan apakah mereka pernah menggunakan alcohol, rokok, atau pergi ke diskotik. Data tercata dalam table kontigensi 2 x 2 x 2. Faktor A adalah pengguna alcohol (ya, tidak), Faktor R adalah pengguna rokok (ya, tidak) dan factor M adalah pernah ke diskotik (ya, tidak)</div></div><div><div align="center">
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<p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm;"><span lang="EN-US" style="font-family: "Times New Roman",serif; mso-bidi-font-size: 12.0pt;">Alkohol
(A)<o:p></o:p></span></p>
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<p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm; tab-stops: right 108.75pt;"><span lang="EN-US" style="font-family: "Times New Roman",serif; mso-bidi-font-size: 12.0pt;">Rokok (C)<span style="mso-tab-count: 1;"> </span><o:p></o:p></span></p>
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<td colspan="2" style="border-left: none; border: 1pt solid black; height: 12.75pt; mso-border-alt: solid black .5pt; mso-border-left-alt: solid black .5pt; mso-border-left-themecolor: text1; mso-border-themecolor: text1; padding: 0cm 5.4pt; width: 168.85pt;" valign="top" width="225">
<p align="center" class="MsoNormal" style="line-height: normal; margin-bottom: 0cm; text-align: center;"><span lang="EN-US" style="font-family: "Times New Roman",serif; mso-bidi-font-size: 12.0pt;">Diskotik (M)<o:p></o:p></span></p>
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<p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm;"><span lang="EN-US" style="font-family: "Times New Roman",serif; mso-bidi-font-size: 12.0pt;"><o:p> </o:p></span></p>
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<td style="border-bottom: 1pt solid black; border-left: none; border-right: 1pt solid black; border-top: none; height: 12.15pt; mso-border-alt: solid black .5pt; mso-border-bottom-themecolor: text1; mso-border-left-alt: solid black .5pt; mso-border-left-themecolor: text1; mso-border-right-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black .5pt; mso-border-top-themecolor: text1; padding: 0cm 5.4pt; width: 91.8pt;" valign="top" width="122">
<p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm;"><span lang="EN-US" style="font-family: "Times New Roman",serif; mso-bidi-font-size: 12.0pt;"><o:p> </o:p></span></p>
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<td style="border-bottom: 1pt solid black; border-left: none; border-right: 1pt solid black; border-top: none; height: 12.15pt; mso-border-alt: solid black .5pt; mso-border-bottom-themecolor: text1; mso-border-left-alt: solid black .5pt; mso-border-left-themecolor: text1; mso-border-right-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black .5pt; mso-border-top-themecolor: text1; padding: 0cm 5.4pt; width: 80.75pt;" valign="top" width="108">
<p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm;"><span lang="EN-US" style="font-family: "Times New Roman",serif; mso-bidi-font-size: 12.0pt;">Ya<o:p></o:p></span></p>
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<td style="border-bottom: 1pt solid black; border-left: none; border-right: 1pt solid black; border-top: none; height: 12.15pt; mso-border-alt: solid black .5pt; mso-border-bottom-themecolor: text1; mso-border-left-alt: solid black .5pt; mso-border-left-themecolor: text1; mso-border-right-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black .5pt; mso-border-top-themecolor: text1; padding: 0cm 5.4pt; width: 88.1pt;" valign="top" width="117">
<p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm;"><span lang="EN-US" style="font-family: "Times New Roman",serif; mso-bidi-font-size: 12.0pt;">Tidak<o:p></o:p></span></p>
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<td style="border-top: none; border: 1pt solid black; height: 12.75pt; mso-border-alt: solid black .5pt; mso-border-themecolor: text1; mso-border-top-alt: solid black .5pt; mso-border-top-themecolor: text1; padding: 0cm 5.4pt; width: 90.35pt;" valign="top" width="120">
<p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm;"><span lang="EN-US" style="font-family: "Times New Roman",serif; mso-bidi-font-size: 12.0pt;">Ya<o:p></o:p></span></p>
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<td style="border-bottom: 1pt solid black; border-left: none; border-right: 1pt solid black; border-top: none; height: 12.75pt; mso-border-alt: solid black .5pt; mso-border-bottom-themecolor: text1; mso-border-left-alt: solid black .5pt; mso-border-left-themecolor: text1; mso-border-right-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black .5pt; mso-border-top-themecolor: text1; padding: 0cm 5.4pt; width: 91.8pt;" valign="top" width="122">
<p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm;"><span lang="EN-US" style="font-family: "Times New Roman",serif; mso-bidi-font-size: 12.0pt;">Ya<o:p></o:p></span></p>
</td>
<td style="border-bottom: 1pt solid black; border-left: none; border-right: 1pt solid black; border-top: none; height: 12.75pt; mso-border-alt: solid black .5pt; mso-border-bottom-themecolor: text1; mso-border-left-alt: solid black .5pt; mso-border-left-themecolor: text1; mso-border-right-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black .5pt; mso-border-top-themecolor: text1; padding: 0cm 5.4pt; width: 80.75pt;" valign="top" width="108">
<p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm;"><span lang="EN-US" style="font-family: "Times New Roman",serif; mso-bidi-font-size: 12.0pt;">991<o:p></o:p></span></p>
</td>
<td style="border-bottom: 1pt solid black; border-left: none; border-right: 1pt solid black; border-top: none; height: 12.75pt; mso-border-alt: solid black .5pt; mso-border-bottom-themecolor: text1; mso-border-left-alt: solid black .5pt; mso-border-left-themecolor: text1; mso-border-right-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black .5pt; mso-border-top-themecolor: text1; padding: 0cm 5.4pt; width: 88.1pt;" valign="top" width="117">
<p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm;"><span lang="EN-US" style="font-family: "Times New Roman",serif; mso-bidi-font-size: 12.0pt;">538<o:p></o:p></span></p>
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<tr style="height: 12.75pt; mso-yfti-irow: 3;">
<td style="border-top: none; border: 1pt solid black; height: 12.75pt; mso-border-alt: solid black .5pt; mso-border-themecolor: text1; mso-border-top-alt: solid black .5pt; mso-border-top-themecolor: text1; padding: 0cm 5.4pt; width: 90.35pt;" valign="top" width="120">
<p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm;"><span lang="EN-US" style="font-family: "Times New Roman",serif; mso-bidi-font-size: 12.0pt;"><o:p> </o:p></span></p>
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<td style="border-bottom: 1pt solid black; border-left: none; border-right: 1pt solid black; border-top: none; height: 12.75pt; mso-border-alt: solid black .5pt; mso-border-bottom-themecolor: text1; mso-border-left-alt: solid black .5pt; mso-border-left-themecolor: text1; mso-border-right-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black .5pt; mso-border-top-themecolor: text1; padding: 0cm 5.4pt; width: 91.8pt;" valign="top" width="122">
<p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm;"><span lang="EN-US" style="font-family: "Times New Roman",serif; mso-bidi-font-size: 12.0pt;">Tidak<o:p></o:p></span></p>
</td>
<td style="border-bottom: 1pt solid black; border-left: none; border-right: 1pt solid black; border-top: none; height: 12.75pt; mso-border-alt: solid black .5pt; mso-border-bottom-themecolor: text1; mso-border-left-alt: solid black .5pt; mso-border-left-themecolor: text1; mso-border-right-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black .5pt; mso-border-top-themecolor: text1; padding: 0cm 5.4pt; width: 80.75pt;" valign="top" width="108">
<p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm;"><span lang="EN-US" style="font-family: "Times New Roman",serif; mso-bidi-font-size: 12.0pt;">44<o:p></o:p></span></p>
</td>
<td style="border-bottom: 1pt solid black; border-left: none; border-right: 1pt solid black; border-top: none; height: 12.75pt; mso-border-alt: solid black .5pt; mso-border-bottom-themecolor: text1; mso-border-left-alt: solid black .5pt; mso-border-left-themecolor: text1; mso-border-right-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black .5pt; mso-border-top-themecolor: text1; padding: 0cm 5.4pt; width: 88.1pt;" valign="top" width="117">
<p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm;"><span lang="EN-US" style="font-family: "Times New Roman",serif; mso-bidi-font-size: 12.0pt;">456<o:p></o:p></span></p>
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<tr style="height: 12.75pt; mso-yfti-irow: 4;">
<td style="border-top: none; border: 1pt solid black; height: 12.75pt; mso-border-alt: solid black .5pt; mso-border-themecolor: text1; mso-border-top-alt: solid black .5pt; mso-border-top-themecolor: text1; padding: 0cm 5.4pt; width: 90.35pt;" valign="top" width="120">
<p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm;"><span lang="EN-US" style="font-family: "Times New Roman",serif; mso-bidi-font-size: 12.0pt;">Tidak<o:p></o:p></span></p>
</td>
<td style="border-bottom: 1pt solid black; border-left: none; border-right: 1pt solid black; border-top: none; height: 12.75pt; mso-border-alt: solid black .5pt; mso-border-bottom-themecolor: text1; mso-border-left-alt: solid black .5pt; mso-border-left-themecolor: text1; mso-border-right-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black .5pt; mso-border-top-themecolor: text1; padding: 0cm 5.4pt; width: 91.8pt;" valign="top" width="122">
<p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm;"><span lang="EN-US" style="font-family: "Times New Roman",serif; mso-bidi-font-size: 12.0pt;">Ya<o:p></o:p></span></p>
</td>
<td style="border-bottom: 1pt solid black; border-left: none; border-right: 1pt solid black; border-top: none; height: 12.75pt; mso-border-alt: solid black .5pt; mso-border-bottom-themecolor: text1; mso-border-left-alt: solid black .5pt; mso-border-left-themecolor: text1; mso-border-right-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black .5pt; mso-border-top-themecolor: text1; padding: 0cm 5.4pt; width: 80.75pt;" valign="top" width="108">
<p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm;"><span lang="EN-US" style="font-family: "Times New Roman",serif; mso-bidi-font-size: 12.0pt;">3<o:p></o:p></span></p>
</td>
<td style="border-bottom: 1pt solid black; border-left: none; border-right: 1pt solid black; border-top: none; height: 12.75pt; mso-border-alt: solid black .5pt; mso-border-bottom-themecolor: text1; mso-border-left-alt: solid black .5pt; mso-border-left-themecolor: text1; mso-border-right-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black .5pt; mso-border-top-themecolor: text1; padding: 0cm 5.4pt; width: 88.1pt;" valign="top" width="117">
<p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm;"><span lang="EN-US" style="font-family: "Times New Roman",serif; mso-bidi-font-size: 12.0pt;">43<o:p></o:p></span></p>
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</div><div><br /></div><b>Langkah Kerja</b></div><div><br /></div><div>Buka program SPSS, kemudian pada Variable View kita menuliskan variabel-variabelnya.</div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjiKlmm4cEZ6-ht_lpFRmMvW-9OlZmtj_8qrmtZe3x7Lm_R3DFv0J2tErvxMCZ__3xk55re369m0Ivm9YP3OJpc97YVuiT5Z5yKWOsCDNXHm5-DzUhm8rTigbEw65L_USY1RDOc9F04Fyc/s954/1..jpg" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="203" data-original-width="954" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjiKlmm4cEZ6-ht_lpFRmMvW-9OlZmtj_8qrmtZe3x7Lm_R3DFv0J2tErvxMCZ__3xk55re369m0Ivm9YP3OJpc97YVuiT5Z5yKWOsCDNXHm5-DzUhm8rTigbEw65L_USY1RDOc9F04Fyc/s16000/1..jpg" /></a></div><br /><div>Kita akan mengisi values pada baris “alkohol”</div><div><br /></div><div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhTjlxcI7K7T4J7qutqHZJZ4JdsBZwm2ISibjUvfZwjZIFkA3Cxn8fRsVwArJ9FedmUc61Nex9x3Q44adzuOpVClnU-RboZFGcuc2_qfo4I_Ma7jzJdTGQErNjTxwIQkbqzJnrgPK2WksY/s458/2..jpg" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="292" data-original-width="458" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhTjlxcI7K7T4J7qutqHZJZ4JdsBZwm2ISibjUvfZwjZIFkA3Cxn8fRsVwArJ9FedmUc61Nex9x3Q44adzuOpVClnU-RboZFGcuc2_qfo4I_Ma7jzJdTGQErNjTxwIQkbqzJnrgPK2WksY/s16000/2..jpg" /></a></div></div><div><br /></div><div>Kita akan mengisi values pada baris “rokok”</div><div><br /></div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjBbx9vvo_R6Iq8yJYrtoFESkqtc-XVcBhxrU9ipwTeUfxTQmxo8vUvCJBc1jb8zTYbJM_Y3ohSKyO9bDhFHJ9ap798wmP74OciV8i-lQCAsTZWspDK-q0pKuB28CTr-nyI8fgrGY9Yoy8/s454/3..jpg" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="295" data-original-width="454" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjBbx9vvo_R6Iq8yJYrtoFESkqtc-XVcBhxrU9ipwTeUfxTQmxo8vUvCJBc1jb8zTYbJM_Y3ohSKyO9bDhFHJ9ap798wmP74OciV8i-lQCAsTZWspDK-q0pKuB28CTr-nyI8fgrGY9Yoy8/s16000/3..jpg" /></a></div><div><br /></div><div>Kita akan mengisi values pada baris “diskotik”</div><div><br /></div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEigvVXH6gvtx4tCC42CxaiXhCPIOXza-4UZKKOowgDey5MLHWWWL02idGl5pP9Ay2dNyzDvL_YbcmdzXZfpDyXz_n7U9v6VjPigdvS4FC3QXJeJPQxEhRwSrQnQDnVLX4kj0vmopab90VE/s450/4..jpg" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="295" data-original-width="450" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEigvVXH6gvtx4tCC42CxaiXhCPIOXza-4UZKKOowgDey5MLHWWWL02idGl5pP9Ay2dNyzDvL_YbcmdzXZfpDyXz_n7U9v6VjPigdvS4FC3QXJeJPQxEhRwSrQnQDnVLX4kj0vmopab90VE/s16000/4..jpg" /></a></div><br /><div>Kemudian kita memasukan data pada Data View </div><div><br /></div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgEXQkGcCLS4-4DNnezjvjvumF4zoDBAcvQqy7fZULdpyXNmskdC2tNbYAcqAz2UE-iOiz_nNju9gUXI-dtJbNgLKvJDsB554wrzuHCQvIN9R8MvCD9XvEJazse32Rufzt1Cdhz-hOViPk/s470/5..jpg" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="307" data-original-width="470" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgEXQkGcCLS4-4DNnezjvjvumF4zoDBAcvQqy7fZULdpyXNmskdC2tNbYAcqAz2UE-iOiz_nNju9gUXI-dtJbNgLKvJDsB554wrzuHCQvIN9R8MvCD9XvEJazse32Rufzt1Cdhz-hOViPk/s16000/5..jpg" /></a></div><div><br /></div><div>Kemudian untuk melakukan pembobotan pada data, klik Data - Weight cases. Kemudian muncul kotak dialog, klik Weight cases by, kemudian kita memindahkan data “frekuensi” ke dalam kolom Frequency Variable lalu klik OK. </div><div><br /></div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi3-Y3kR3_tdZmvQBnoTVhf26iz3hpz5AeFD7UTUba93fVYT5k14PS_nCvn9LjbwSkhoc_zgBVG5uA3MZgOLh9Q87Pd1erB9QggFt-5S5EQkAlXjHLnT2V-sQiAB5Vej5KHf6McTwEW0u4/s414/6..jpg" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="261" data-original-width="414" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi3-Y3kR3_tdZmvQBnoTVhf26iz3hpz5AeFD7UTUba93fVYT5k14PS_nCvn9LjbwSkhoc_zgBVG5uA3MZgOLh9Q87Pd1erB9QggFt-5S5EQkAlXjHLnT2V-sQiAB5Vej5KHf6McTwEW0u4/s16000/6..jpg" /></a></div><br /><div>Kemudian untuk membuat tabel kontingensi, klik Analyze - Descriptive Statistics - Crosstabs. Selanjutnya keluar kotak dialog, pindahkan “rokok” ke dalam kolom Row(s), “diskotik” ke dalam Column(s), “alkohol” ke dalam kolom Layer kemudian klik OK</div><div><br /></div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhe6l6CGpC1vOjt3MscmOnTnbyDDAG2pOzPlqjII0RaVs3TLEG-6O7bvwxZp09PGxi5H_DXA2noETwMnWUUPs1W-UHAT6OyXPFULSA0vKy9w3lcZC5g8BC9CEE2UbovdCm7CdiGZF12JJ0/s516/7..jpg" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="415" data-original-width="516" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhe6l6CGpC1vOjt3MscmOnTnbyDDAG2pOzPlqjII0RaVs3TLEG-6O7bvwxZp09PGxi5H_DXA2noETwMnWUUPs1W-UHAT6OyXPFULSA0vKy9w3lcZC5g8BC9CEE2UbovdCm7CdiGZF12JJ0/s16000/7..jpg" /></a></div><br /><div>Kemudian untuk melakukan analisis Loglinier, klik Analyze - Loglinier - Model Selection. Selanjutnya muncul kotak dialog, lalu kita memindahkan “alkohol”, “rokok” dan “diskotik” ke dalam kolom Factor(s). </div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgO_sSEwFXTEmGQBBzqrEJTtxDAhe_Pl-6qPFKOlSetEidHwvaYKGV9yUlkIhk_lu5fAR-PPt-_b0QVNyteQl8Fbgcx3yB2XHiKq9OUrCT0G4Fn29-UyE-38m5bfyYtCbaJzB-uxJaDnI8/s516/8..jpg" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="413" data-original-width="516" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgO_sSEwFXTEmGQBBzqrEJTtxDAhe_Pl-6qPFKOlSetEidHwvaYKGV9yUlkIhk_lu5fAR-PPt-_b0QVNyteQl8Fbgcx3yB2XHiKq9OUrCT0G4Fn29-UyE-38m5bfyYtCbaJzB-uxJaDnI8/s16000/8..jpg" /></a></div><div><br /></div>Blok semua yang ada pada kolom Factor(s), klik Define Range. Pada kolom Minimum diisi dengan angka kategori terkecil, yaitu 1, pada kolom Maximum diisi dengan angka kategori terbesar, yaitu 2 kemudian klik Continue. <div><br /><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj4_4rrEsXRrfrBkWofuOPnbXNwn8KXQFqgI8grvFxwokuI_G39FKT9hpSaeH1n6p6KfeJ9q-yEVoInEchEfGcJQ1lWC7o1F_0ALprehP997XqC9KKt4wIIp93oXB9Cs8BiKo66jl4NyvQ/s538/9..jpg" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="397" data-original-width="538" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj4_4rrEsXRrfrBkWofuOPnbXNwn8KXQFqgI8grvFxwokuI_G39FKT9hpSaeH1n6p6KfeJ9q-yEVoInEchEfGcJQ1lWC7o1F_0ALprehP997XqC9KKt4wIIp93oXB9Cs8BiKo66jl4NyvQ/s16000/9..jpg" /></a></div><br /><div>Kemudian klik Option - Parameter estimates - Association table Continue - OK. </div><div><br /></div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhd3qU9ptZHiQ0QtcKQbWOtzGuzLUESiLx8fRps6o7SzFOGXQoiIdVXrlznS1rEptIId5kg0hnIu5ElvG49yQoP2-4H2-Zajn6WwdnCoPLvTtvlXpZf4mnRyvM4-JZOclQEJSzkTBw2x14/s523/10..jpg" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="462" data-original-width="523" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhd3qU9ptZHiQ0QtcKQbWOtzGuzLUESiLx8fRps6o7SzFOGXQoiIdVXrlznS1rEptIId5kg0hnIu5ElvG49yQoP2-4H2-Zajn6WwdnCoPLvTtvlXpZf4mnRyvM4-JZOclQEJSzkTBw2x14/s16000/10..jpg" /></a></div><br /><div>Untuk pembahasan nya kalian bisa liat di <a href="https://thinkstudioo.blogspot.com/2020/10/pembahasan-analisis-logliniear.html">Pembahasan Analisis Loglinear Menggunakan SPSS</a> ya. oke makasih semua yang udah mampir<br /><div><br /></div></div></div>Jimmy Pujosenohttp://www.blogger.com/profile/17973647737656365646noreply@blogger.com0tag:blogger.com,1999:blog-7652763575876291773.post-12319059873450904632020-10-14T09:59:00.004+07:002020-10-16T09:25:24.802+07:00PEMBAHASAN ANALISIS TABEL KONTIGENSI MENGGUNAKAN CHI-SQUARE, ODD’S RATIO DAN RISK RELATIVE DI SPSS<p>Setelah melakukan langkah kerja di post sebelumnya <a href="https://thinkstudioo.blogspot.com/2020/10/analisis-tabel-kontigensi-menggunakan.html">ANALISIS TABEL KONTIGENSI MENGGUNAKAN CHI-SQUARE, ODD’S RATIO DAN RISK RELATIVE DI SPSS</a> , pada post ini kita akan menjelaskan tentang outputnya yaitu membuat tabel kontigensi 3x3 dan menganalisisnya menggunakan Chi-Square serta mencari Odd’s Ratio dan Risk Relative , dengan output sebagai berikut :</p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgkqw4IyxkxGTbHpLOnD0ttD953lTtTD3H68ofUm23WWkPHVRVlbNalKlkTjfntKlu7M_xWgUlWZqwcsfvupwlEM9mZfRACOIPe1lROoVP0Z8jF_BQH9TyTMyFk_exXBvSefwnKTZsCLBo/s569/1.p.jpg" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="124" data-original-width="569" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgkqw4IyxkxGTbHpLOnD0ttD953lTtTD3H68ofUm23WWkPHVRVlbNalKlkTjfntKlu7M_xWgUlWZqwcsfvupwlEM9mZfRACOIPe1lROoVP0Z8jF_BQH9TyTMyFk_exXBvSefwnKTZsCLBo/s16000/1.p.jpg" /></a></div><br /><p>Pada tabel case processing summary diatas menunjukkan bahwa input data ada 233 responden dan tidak ada data yang tertinggal</p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgIH_LLbmsKCq51sc1AZztE-FTqYLnxpEhrZLxo8X5WJkRejZwx7VPGSlV-4LvX_uSFAe6kZ-ByWEwHG7NzuKemExrjV8JdxCbgcUlcCR0aOcTyWfrmLGe94pTndg7oxDeXXajOQvIFiO4/s511/2.dsBuffer.jpg" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="192" data-original-width="511" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgIH_LLbmsKCq51sc1AZztE-FTqYLnxpEhrZLxo8X5WJkRejZwx7VPGSlV-4LvX_uSFAe6kZ-ByWEwHG7NzuKemExrjV8JdxCbgcUlcCR0aOcTyWfrmLGe94pTndg7oxDeXXajOQvIFiO4/s16000/2.dsBuffer.jpg" /></a></div><div class="separator" style="clear: both; text-align: left;">Pada tabel crossstabulasi antara Uang Saku Perbulan dengan Rata-rata akses internet perhari di atas bahwa Rata-rata akses internet perhari yang rendah namun dengan uang saku yang tinggi sebanyak 24 mahasiswa, Rata-rata akses internet perhari yang rendah namun dengan uang saku yang sedang sebanyak 20 mahasiswa, Rata-rata akses internet perhari yang rendah namun dengan uang saku yang tinggi sebanyak 18 mahasiswa, sehingga total mahasiswa dengan rata-rata akses internet rendah yaitu sebanyak 62 mahasiswa. Rata-rata akses internet perhari yang sedang namun dengan uang saku yang tinggi sebanyak 43 mahasiswa, Rata-rata akses internet perhari yang sedang namun dengan uang saku yang sedang sebanyak 25 mahasiswa, Rata-rata akses internet perhari yang sedang namun dengan uang saku yang tinggi sebanyak 26 mahasiswa, sehingga total mahasiswa dengan rata-rata akses internet sedang yaitu sebanyak 94 mahasiswa. Rata-rata akses internet perhari yang tinggi namun dengan uang saku yang tinggi sebanyak 33 mahasiswa, Rata-rata akses internet perhari yang tinggi namun dengan uang saku yang sedang sebanyak 23 mahasiswa, Rata-rata akses internet perhari yang tinggi namun dengan uang saku yang tinggi sebanyak 21 mahasiswa, sehingga total mahasiswa dengan rata-rata akses internet tinggi yaitu sebanyak 77 mahasiswa.</div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhxuBaf3zaKoKQxKCkfECM2UrWkMks_FJqgsh2QMxsuQvviyafIlkUf8UvOht1PBhCWKU5bPRYC8XOqaVeD1SXX9vzJicM5LtTSYj2lUeEm0YPOswCb6H2OUOIxXMyUsUosZMLaAHdAN9Q/s486/2.pp.jpg" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="178" data-original-width="486" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhxuBaf3zaKoKQxKCkfECM2UrWkMks_FJqgsh2QMxsuQvviyafIlkUf8UvOht1PBhCWKU5bPRYC8XOqaVeD1SXX9vzJicM5LtTSYj2lUeEm0YPOswCb6H2OUOIxXMyUsUosZMLaAHdAN9Q/s16000/2.pp.jpg" /></a></div><div class="separator" style="clear: both; text-align: left;">Pada tabel chi-square test di atas dapat diketahui bahwa nilai signifikansi p-value sebesar 0,924 dan nilai chi-square sebesar 0,901. Karena nilai signifikansi 0,924 > (0.05) maka gagal toalk H0 yang berarti bahwa ada hubungan antara uang saku perbulan dengan rata-rata akses internet harian mahasiswa.</div><div class="separator" style="clear: both; text-align: left;"><br /></div><div>Odd’s ratio dan Risk Relative tidak tersedia untuk tabel 3x3. Ini dilihat dari keterangan dibawah kolom, “Risk Estime statistics cannot be computed. They are only computed for a 2*2 table without empty cells.”.</div><div>Mungkin sekian untuk pembahasan kali ini, kalian bisa liat juga terkait <a href="https://thinkstudioo.blogspot.com/2020/10/analisis-logliniear-menggunakan-spss.html" target="_blank">analisis loglinier disini ya</a>. thank you yang udah mampir stay safe ya</div>Jimmy Pujosenohttp://www.blogger.com/profile/17973647737656365646noreply@blogger.com0tag:blogger.com,1999:blog-7652763575876291773.post-4094317428487506182020-10-13T09:46:00.003+07:002022-05-31T15:43:02.089+07:00ANALISIS TABEL KONTIGENSI MENGGUNAKAN CHI-SQUARE, ODD’S RATIO DAN RISK RELATIVE DI SPSS<p>Halo guys, kali ini kita akan bahas terkait analisis tabel kontigensi, nah sebelum itu kalian harus paham dulu beberapa teori analisis yang akan kita gunakan.</p><p>Analisis log-linier adalah teknik yang digunakan dalam statistik untuk memeriksa hubungan antara lebih dari dua variabel kategori . Teknik ini digunakan untuk pengujian hipotesis dan pembangunan model. Dalam kedua penggunaan ini, model diuji untuk menemukan model yang paling pelit (yaitu, paling tidak kompleks) yang paling cocok untuk varians dalam frekuensi yang diamati. (Uji chi-square Pearson dapat digunakan sebagai pengganti analisis log-linear, tetapi teknik itu hanya memungkinkan dua variabel untuk dibandingkan pada satu waktu. )(en.wikipedia.org/wiki/Log-linear_analysis)</p><p>Uji chi-kuadrat , juga ditulis sebagai uji χ 2 , adalah uji hipotesis statistik yang valid untuk dilakukan ketika statistik uji adalah chi-kuadrat yang didistribusikan di bawah hipotesis nol , khususnya uji chi-kuadrat Pearson dan variannya. Uji chi-squared Pearson digunakan untuk menentukan apakah ada perbedaan yang signifikan secara statistik antara frekuensi yang diharapkan dan frekuensi yang diamati dalam satu atau lebih kategori tabel kontingensi .(https://en.wikipedia.org/wiki/Chi-squared_test)</p><p>Rasio peluang ( OR ) adalah statistik yang mengukur kekuatan hubungan antara dua peristiwa, A dan B. Rasio peluang didefinisikan sebagai rasio peluang A di hadapan B dan peluang A jika tidak ada. dari B, atau ekuivalen (karena simetri ), rasio peluang B dengan adanya A dan peluang B dengan tidak adanya A.Dua peristiwa independen jika dan hanya jika OR sama dengan 1, yaitu, Peluang dari satu peristiwa adalah sama baik ada atau tidaknya peristiwa lainnya. Jika OR lebih besar dari 1, maka A dan B diasosiasikan (berkorelasi) dalam arti bahwa, dibandingkan dengan tidak adanya B, keberadaan B meningkatkan peluang A, dan secara simetris kehadiran A meningkatkan peluang B Sebaliknya, jika OR kurang dari 1, maka A dan B berkorelasi negatif, dan adanya satu peristiwa mengurangi kemungkinan peristiwa lainnya.(https://en.wikipedia.org/wiki/Odds_ratio)</p><p>Risiko relatif (RR) atau rasio risiko adalah rasio kemungkinan hasil dalam kelompok yang terpapar dengan kemungkinan hasil dalam kelompok yang tidak terpapar. Ini dihitung sebagai {\ displaystyle I_ {e} / I_ {u}}{\ displaystyle I_ {e} / I_ {u}} , dimana {\ displaystyle I_ {e}}Yaitu adalah insiden pada kelompok yang terpapar, dan {\ displaystyle I_ {u}}I_ {u} adalah insiden pada kelompok yang tidak terpapar. Bersama dengan perbedaan risiko dan rasio peluang , risiko relatif mengukur hubungan antara paparan dan hasil.(https://en.wikipedia.org/wiki/Relative_risk)</p><table border="1" cellpadding="0" cellspacing="0" class="MsoNormalTable" style="border-collapse: collapse; border: none; margin-left: 6.75pt; margin-right: 6.75pt; text-align: right;">
<tbody><tr style="height: 14.25pt; mso-yfti-firstrow: yes; mso-yfti-irow: 0;">
<td rowspan="2" style="border: 1pt solid windowtext; height: 14.25pt; mso-border-alt: solid windowtext .5pt; padding: 0cm 5.4pt; width: 119.25pt;" valign="top" width="159">
<p class="MsoNormal" style="text-align: center; vertical-align: middle;"><span lang="IN" style="font-family: "Times New Roman", serif; font-size: 12pt; line-height: 115%;">UANG SAKU PERBULAN<o:p></o:p></span></p>
</td>
<td colspan="3" style="border-left: none; border: 1pt solid windowtext; height: 14.25pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; padding: 0cm 5.4pt; width: 201pt;" valign="top" width="268">
<p class="MsoNormal" style="text-align: center; vertical-align: bottom;"><span lang="IN" style="font-family: "Times New Roman", serif; font-size: 12pt; line-height: 115%;">RATA-RATA AKSES INTERNET TIAP
HARI<o:p></o:p></span></p>
</td>
<td rowspan="2" style="border-left: none; border: 1pt solid windowtext; height: 14.25pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; padding: 0cm 5.4pt; width: 53.7pt;" valign="top" width="72">
<p class="MsoNormal" style="text-align: center; vertical-align: bottom;"><span lang="IN" style="font-family: "Times New Roman", serif; font-size: 12pt; line-height: 115%;">TOTAL <o:p></o:p></span></p>
</td>
</tr>
<tr style="height: 14.25pt; mso-yfti-irow: 1;">
<td style="border-bottom: 1pt solid windowtext; border-left: none; border-right: 1pt solid windowtext; border-top: none; height: 14.25pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0cm 5.4pt; width: 66.75pt;" valign="top" width="89">
<p class="MsoNormal" style="text-align: justify; vertical-align: bottom;"><span lang="IN" style="font-family: "Times New Roman", serif; font-size: 12pt; line-height: 115%;">RENDAH<o:p></o:p></span></p>
</td>
<td style="border-bottom: 1pt solid windowtext; border-left: none; border-right: 1pt solid windowtext; border-top: none; height: 14.25pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0cm 5.4pt; width: 63.75pt;" valign="top" width="85">
<p class="MsoNormal" style="text-align: justify; vertical-align: bottom;"><span lang="IN" style="font-family: "Times New Roman", serif; font-size: 12pt; line-height: 115%;">SEDANG<o:p></o:p></span></p>
</td>
<td style="border-bottom: 1pt solid windowtext; border-left: none; border-right: 1pt solid windowtext; border-top: none; height: 14.25pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0cm 5.4pt; width: 70.5pt;" valign="top" width="94">
<p class="MsoNormal" style="text-align: justify; vertical-align: bottom;"><span lang="IN" style="font-family: "Times New Roman", serif; font-size: 12pt; line-height: 115%;">TINGGI<o:p></o:p></span></p>
</td>
</tr>
<tr style="height: 14.25pt; mso-yfti-irow: 2;">
<td style="border-top: none; border: 1pt solid windowtext; height: 14.25pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0cm 5.4pt; width: 119.25pt;" valign="top" width="159">
<p class="MsoNormal" style="text-align: justify; vertical-align: bottom;"><span lang="IN" style="font-family: "Times New Roman", serif; font-size: 12pt; line-height: 115%;">TINGGI<o:p></o:p></span></p>
</td>
<td style="border-bottom: 1pt solid windowtext; border-left: none; border-right: 1pt solid windowtext; border-top: none; height: 14.25pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0cm 5.4pt; width: 66.75pt;" valign="top" width="89">
<p class="MsoNormal" style="text-align: justify; vertical-align: bottom;"><span lang="IN" style="font-family: "Times New Roman", serif; font-size: 12pt; line-height: 115%;">24<o:p></o:p></span></p>
</td>
<td style="border-bottom: 1pt solid windowtext; border-left: none; border-right: 1pt solid windowtext; border-top: none; height: 14.25pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0cm 5.4pt; width: 63.75pt;" valign="top" width="85">
<p class="MsoNormal" style="text-align: justify; vertical-align: bottom;"><span lang="IN" style="font-family: "Times New Roman", serif; font-size: 12pt; line-height: 115%;">20<o:p></o:p></span></p>
</td>
<td style="border-bottom: 1pt solid windowtext; border-left: none; border-right: 1pt solid windowtext; border-top: none; height: 14.25pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0cm 5.4pt; width: 70.5pt;" valign="top" width="94">
<p class="MsoNormal" style="text-align: justify; vertical-align: bottom;"><span lang="IN" style="font-family: "Times New Roman", serif; font-size: 12pt; line-height: 115%;">18<o:p></o:p></span></p>
</td>
<td style="border-bottom: 1pt solid windowtext; border-left: none; border-right: 1pt solid windowtext; border-top: none; height: 14.25pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0cm 5.4pt; width: 53.7pt;" valign="top" width="72">
<p class="MsoNormal" style="text-align: justify; vertical-align: bottom;"><span lang="IN" style="font-family: "Times New Roman", serif; font-size: 12pt; line-height: 115%;">62<o:p></o:p></span></p>
</td>
</tr>
<tr style="height: 14.25pt; mso-yfti-irow: 3;">
<td style="border-top: none; border: 1pt solid windowtext; height: 14.25pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0cm 5.4pt; width: 119.25pt;" valign="top" width="159">
<p class="MsoNormal" style="text-align: justify; vertical-align: bottom;"><span lang="IN" style="font-family: "Times New Roman", serif; font-size: 12pt; line-height: 115%;">SEDANG<o:p></o:p></span></p>
</td>
<td style="border-bottom: 1pt solid windowtext; border-left: none; border-right: 1pt solid windowtext; border-top: none; height: 14.25pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0cm 5.4pt; width: 66.75pt;" valign="top" width="89">
<p class="MsoNormal" style="text-align: justify; vertical-align: bottom;"><span lang="IN" style="font-family: "Times New Roman", serif; font-size: 12pt; line-height: 115%;">43<o:p></o:p></span></p>
</td>
<td style="border-bottom: 1pt solid windowtext; border-left: none; border-right: 1pt solid windowtext; border-top: none; height: 14.25pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0cm 5.4pt; width: 63.75pt;" valign="top" width="85">
<p class="MsoNormal" style="text-align: justify; vertical-align: bottom;"><span lang="IN" style="font-family: "Times New Roman", serif; font-size: 12pt; line-height: 115%;">25<o:p></o:p></span></p>
</td>
<td style="border-bottom: 1pt solid windowtext; border-left: none; border-right: 1pt solid windowtext; border-top: none; height: 14.25pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0cm 5.4pt; width: 70.5pt;" valign="top" width="94">
<p class="MsoNormal" style="text-align: justify; vertical-align: bottom;"><span lang="IN" style="font-family: "Times New Roman", serif; font-size: 12pt; line-height: 115%;">26<o:p></o:p></span></p>
</td>
<td style="border-bottom: 1pt solid windowtext; border-left: none; border-right: 1pt solid windowtext; border-top: none; height: 14.25pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0cm 5.4pt; width: 53.7pt;" valign="top" width="72">
<p class="MsoNormal" style="text-align: justify; vertical-align: bottom;"><span lang="IN" style="font-family: "Times New Roman", serif; font-size: 12pt; line-height: 115%;">94<o:p></o:p></span></p>
</td>
</tr>
<tr style="height: 14.25pt; mso-yfti-irow: 4; mso-yfti-lastrow: yes;">
<td style="border-top: none; border: 1pt solid windowtext; height: 14.25pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0cm 5.4pt; width: 119.25pt;" valign="top" width="159">
<p class="MsoNormal" style="text-align: justify; vertical-align: bottom;"><span lang="IN" style="font-family: "Times New Roman", serif; font-size: 12pt; line-height: 115%;">RENDAH<o:p></o:p></span></p>
</td>
<td style="border-bottom: 1pt solid windowtext; border-left: none; border-right: 1pt solid windowtext; border-top: none; height: 14.25pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0cm 5.4pt; width: 66.75pt;" valign="top" width="89">
<p class="MsoNormal" style="text-align: justify; vertical-align: bottom;"><span lang="IN" style="font-family: "Times New Roman", serif; font-size: 12pt; line-height: 115%;">33<o:p></o:p></span></p>
</td>
<td style="border-bottom: 1pt solid windowtext; border-left: none; border-right: 1pt solid windowtext; border-top: none; height: 14.25pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0cm 5.4pt; width: 63.75pt;" valign="top" width="85">
<p class="MsoNormal" style="text-align: justify; vertical-align: bottom;"><span lang="IN" style="font-family: "Times New Roman", serif; font-size: 12pt; line-height: 115%;">23<o:p></o:p></span></p>
</td>
<td style="border-bottom: 1pt solid windowtext; border-left: none; border-right: 1pt solid windowtext; border-top: none; height: 14.25pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0cm 5.4pt; width: 70.5pt;" valign="top" width="94">
<p class="MsoNormal" style="text-align: justify; vertical-align: bottom;"><span lang="IN" style="font-family: "Times New Roman", serif; font-size: 12pt; line-height: 115%;">21<o:p></o:p></span></p>
</td>
<td style="border-bottom: 1pt solid windowtext; border-left: none; border-right: 1pt solid windowtext; border-top: none; height: 14.25pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0cm 5.4pt; width: 53.7pt;" valign="top" width="72">
<p class="MsoNormal" style="text-align: justify; vertical-align: bottom;"><span lang="IN" style="font-family: "Times New Roman", serif; font-size: 12pt; line-height: 115%;">77<o:p></o:p></span></p>
</td>
</tr>
</tbody></table><br /><div>Kita akan melihat hubungan antara uang saku perbulan dengan rata-rata akses internet tiap hari. Dari data di atas juga kita akan membuat tabel kontingensi, pengujian chi-square atau fisher test, menghitung nilai odds Ratio (OR) dan menghitung nilai relatif ratio (RR).</div><div><br /></div><div>Disini kita akan mengerjakannya menggunakan SPSS. Untuk membuat tabel kontigensi 3x3, kita mulai membuat variabel-variabelnya terlebih dahulu.</div><div><br /></div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgmRHN4MBtzaeuLYgt7dbAXfxCk1LYUDZtcBpLAmjoMQVwghIfTIGtusmw-fjiQ0ZQlbDZPA5bGf0oevGUEYqwkgr4ZrKE-GwWmjqsW0dkNKJyIrbIlciLFWp-aerfnZPSeYYMIP2u1Bhg/s1833/1.1.PNG" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="165" data-original-width="1833" height="58" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgmRHN4MBtzaeuLYgt7dbAXfxCk1LYUDZtcBpLAmjoMQVwghIfTIGtusmw-fjiQ0ZQlbDZPA5bGf0oevGUEYqwkgr4ZrKE-GwWmjqsW0dkNKJyIrbIlciLFWp-aerfnZPSeYYMIP2u1Bhg/w640-h58/1.1.PNG" width="640" /></a></div><div class="separator" style="clear: both; text-align: center;"><br /></div><div class="separator" style="clear: both; text-align: left;">Kemudian pindah klik values pada variabel “RerataAksesInternetPerhari” dan isikan seperti pada gambar dibawah ini</div><div class="separator" style="clear: both; text-align: left;"><br /></div><div class="separator" style="clear: both; text-align: left;"><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhaAqBCXmSVEoA96m6mv4hgz62nm8mw6EbhmrXShYaaQ6aM8EznTh4nonMapr05BdNfHCGZ_ECsWJtzLbubaLw66B1hDNyblB-vKnF_WymAhQKjPa93jP1W2GIcPoce_-LjPmDMN4VZ5zg/s472/3.jpg" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="317" data-original-width="472" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhaAqBCXmSVEoA96m6mv4hgz62nm8mw6EbhmrXShYaaQ6aM8EznTh4nonMapr05BdNfHCGZ_ECsWJtzLbubaLw66B1hDNyblB-vKnF_WymAhQKjPa93jP1W2GIcPoce_-LjPmDMN4VZ5zg/s16000/3.jpg" /></a></div></div><div class="separator" style="clear: both; text-align: center;"><br /></div>Kemudian pindah klik values pada variabel “UangSakuBulanan” dan isikan seperti pada gambar dibawah ini<div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg43POZzvboPUcpvSZgr-0hvA09LPQcJXMOced0Oo05xUVshy5w-GGpn6b40O_ZLIrw0NtLhXy9grl4hPcMPFXpkgpBsjBH81aUnOFjpqtSUxPMY2c6qUKtyPe3k9rQmuaaBZ_tmlMjTuo/s471/3.jpg" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="312" data-original-width="471" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg43POZzvboPUcpvSZgr-0hvA09LPQcJXMOced0Oo05xUVshy5w-GGpn6b40O_ZLIrw0NtLhXy9grl4hPcMPFXpkgpBsjBH81aUnOFjpqtSUxPMY2c6qUKtyPe3k9rQmuaaBZ_tmlMjTuo/s16000/3.jpg" /></a></div><div class="separator" style="clear: both; text-align: center;"><br /></div>Isi lembar data view seperti gambar berikut<div><br /><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgQVJy0j5qnVohAj9usY-ofCf_PkY22krCwdGf1Stf67hsUrId_U15R-totUc16eZz6mKw2uM6n4lDjVwH0tkeOrflZfF1f1Ap3EY5QIodv3w_3HU7V-wnVTWysFF4ZIUYGkw4Yc2-6LBQ/s375/4.jpg" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="311" data-original-width="375" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgQVJy0j5qnVohAj9usY-ofCf_PkY22krCwdGf1Stf67hsUrId_U15R-totUc16eZz6mKw2uM6n4lDjVwH0tkeOrflZfF1f1Ap3EY5QIodv3w_3HU7V-wnVTWysFF4ZIUYGkw4Yc2-6LBQ/s16000/4.jpg" /></a></div><div class="separator" style="clear: both; text-align: center;"><br /></div><div class="separator" style="clear: both; text-align: left;">Kemudian sebelum semua perintah dilakukan, terlebih dahulu kita me-weight case variabel “nilai”.</div><div><br /></div></div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg1lAPXL4vK4wrh5qy4qknZ2_ouI5FCoX86tcvg4X4pSWskE7nK14Y_KDe0Lzjly010tdn9dWJ1mj6aRQwqgB4vNTfnmQP4IJOkCqbMw6FV9PTGv5HEzAZLvtWzyaYS32jb3zrhxEp8HS4/s1366/5.1.jpg" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="768" data-original-width="1366" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg1lAPXL4vK4wrh5qy4qknZ2_ouI5FCoX86tcvg4X4pSWskE7nK14Y_KDe0Lzjly010tdn9dWJ1mj6aRQwqgB4vNTfnmQP4IJOkCqbMw6FV9PTGv5HEzAZLvtWzyaYS32jb3zrhxEp8HS4/s16000/5.1.jpg" /></a></div><br /><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg_VmJJN1ao9r2DJdueiBb5fVuTNrabwG3XttxOL85-8FzjrLgeC5_6oei9Hm_3wMPmWfrw1gIr2mHZ0PFeybIFmR_7ukOu3CtbdCd8c382uG5XYOU-GTmslj1FbJZtRmG1xVpw-fw_tbw/s442/5.2.jpg" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="280" data-original-width="442" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg_VmJJN1ao9r2DJdueiBb5fVuTNrabwG3XttxOL85-8FzjrLgeC5_6oei9Hm_3wMPmWfrw1gIr2mHZ0PFeybIFmR_7ukOu3CtbdCd8c382uG5XYOU-GTmslj1FbJZtRmG1xVpw-fw_tbw/s16000/5.2.jpg" /></a></div><br /><div>Untuk membuat tabel kontigensi, melakukan analisis chi-square, odd’s ratio, dan risk relative, klik analyze-descriptive-crosstabs.</div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiH4eb7PfLi1QLcc9LxGfsl8Hk0um2nR5OP0rwQz0vGg1RI33tMWS7VpWiw595SzoEsF6jDQDi2Qb26dKVd_wx7d7ilYtdvZ5QfL-v6nkspcpHAMUWS-X-zJneeh9KWzl9E0UHBlPXXxh8/s1366/6.jpg" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="768" data-original-width="1366" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiH4eb7PfLi1QLcc9LxGfsl8Hk0um2nR5OP0rwQz0vGg1RI33tMWS7VpWiw595SzoEsF6jDQDi2Qb26dKVd_wx7d7ilYtdvZ5QfL-v6nkspcpHAMUWS-X-zJneeh9KWzl9E0UHBlPXXxh8/s16000/6.jpg" /></a></div><br /><div>Kemudian masukan variabelnya</div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi82Z-st_eDfBLAh1wOgktV1Id8QElD8D_2TyLkW4OeadpqrDk8p7Yi8z1kjjxDtITAQXs97Sv0Ky766TGVjXW1imlBKkHVWuWno9cYyg-0W-6hc6cqnOMWop7aAEIhOcqwDT8zKgYm42k/s582/7.jpg" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="448" data-original-width="582" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi82Z-st_eDfBLAh1wOgktV1Id8QElD8D_2TyLkW4OeadpqrDk8p7Yi8z1kjjxDtITAQXs97Sv0Ky766TGVjXW1imlBKkHVWuWno9cYyg-0W-6hc6cqnOMWop7aAEIhOcqwDT8zKgYm42k/s16000/7.jpg" /></a></div><br /><div>Klik statistics, centang chi-square, dan risk klik OK.</div><div><br /></div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEguRqyDf3VkyXRcPKmImTHbzU7YVIv7nD6FPj8kK3E7X3VPH8jMls6tHAJWJNCDVSqm99IVcYkjou8iTBfPPhZbJQk1bGXPwelepNvOC68gRkZ25NVhysP1_hnjip5unCGsQXIRkiArgOA/s430/8.jpg" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="430" data-original-width="369" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEguRqyDf3VkyXRcPKmImTHbzU7YVIv7nD6FPj8kK3E7X3VPH8jMls6tHAJWJNCDVSqm99IVcYkjou8iTBfPPhZbJQk1bGXPwelepNvOC68gRkZ25NVhysP1_hnjip5unCGsQXIRkiArgOA/s16000/8.jpg" /></a></div>Untuk part selanjutnya kita akan bahas terkait pembahasan dari analisis di atas ya <a href="https://thinkstudioo.blogspot.com/2020/10/setelah-melakukan-langkah-kerja-di-post.html" target="_blank">KLIK DISINI UNTUK PEMBAHASANNYA</a>. Thank you semuanya<br /><div><br /></div>Jimmy Pujosenohttp://www.blogger.com/profile/17973647737656365646noreply@blogger.com0tag:blogger.com,1999:blog-7652763575876291773.post-83433835346316558752020-09-29T13:47:00.005+07:002022-05-31T15:40:57.778+07:00Text Preprocessing & TF-IDF<div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj9ao0ys5iUeHeBH38uQnoKcDNn5Gh6HZiT2C4Kl3v_xqMNgZNRevU8YV4YTkPIrhY9F616VZtKA371U9Mh_HK9f6edmbdQlmHD1R6sLCdBnYmWKbuObxkzlE8JN-OsWYZAhOTrPd1HRQg/s1802/0.textprep.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="1202" data-original-width="1802" height="241" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj9ao0ys5iUeHeBH38uQnoKcDNn5Gh6HZiT2C4Kl3v_xqMNgZNRevU8YV4YTkPIrhY9F616VZtKA371U9Mh_HK9f6edmbdQlmHD1R6sLCdBnYmWKbuObxkzlE8JN-OsWYZAhOTrPd1HRQg/w384-h241/0.textprep.png" width="384" /></a></div><p>Tutorial ini membahas basic class untuk preprocessing text. Misalkan kita memiliki list teks, misalnya daftar quotes top film. Kalian bisa download filenya <a href="https://github.com/pujoseno/Text-Preprocessing-TF-IDF" target="_blank">DISINI</a>.</p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhejShJRYYfFJzh9omN90Z0Ifdo0lcDZDo5KU5UNAx0dPodwn7M-4JodG8T259g0Mi0_0fFt_MEEFCZdOGdFgKemFzjVDHFi_vELIoZn6PWA6jnpLXVY5npZ9_lTiBSGj7TybylgrJbORw/s911/1.textprep.PNG" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="468" data-original-width="911" height="329" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhejShJRYYfFJzh9omN90Z0Ifdo0lcDZDo5KU5UNAx0dPodwn7M-4JodG8T259g0Mi0_0fFt_MEEFCZdOGdFgKemFzjVDHFi_vELIoZn6PWA6jnpLXVY5npZ9_lTiBSGj7TybylgrJbORw/w640-h329/1.textprep.PNG" width="640" /></a></div><p>Kita akan membangun class yang membersihkan/cleans quotes dan menghasilkan encoding one-hot atau matriks TF-IDF.</p><p>Biasanya, data teks dibersihkan dengan menghapus elemen yang tidak diperlukan. Misalnya, kata-kata seperti saya, aku, gw, kamu, muncul dalam banyak teks dan hampir tidak informatif. Ini disebut stopwords. Kuta harus menghapus ini. Kedua, untuk membuat corpus teks yang lebih homogen, kita bisa menurunkan huruf kecil semua karakter sehingga misal kata "Sintha sayangku" identik dengan "sintha sayangku". Terakhir, dalam tutorial ini kita akan stem kata-kata tersebut ke bentuk akarnya. Ini berarti kita akan mengubah kata-kata seperti memancing,dan kepancing menjadi akar kata pancing.</p><p>Class dalam Python mirip dengan membuat pemotong kue. Kita ingin membuat prototipe agar setiap kita menggunakan cookie cutter pada dataset teks, objek tersebut akan memiliki bentuk, karakteristik, dan fungsi yang sama.</p><p>Mari kita mulai dengan menginisialisasi class kita.</p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi3CQQxyTpu45exBpVqMaxPBgrq-HzOc-IuMA1qL6LPN35ytw_zxKsIxL67hunHUSamrjawkuoYvZ9EAjCr7tuwET9vTplr0N36BLWXLRSWjuFWv0WN_dDuZiKVrviI8VaJJl4jCMrJI7Y/s987/2.textprep.PNG" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="410" data-original-width="987" height="266" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi3CQQxyTpu45exBpVqMaxPBgrq-HzOc-IuMA1qL6LPN35ytw_zxKsIxL67hunHUSamrjawkuoYvZ9EAjCr7tuwET9vTplr0N36BLWXLRSWjuFWv0WN_dDuZiKVrviI8VaJJl4jCMrJI7Y/w640-h266/2.textprep.PNG" width="640" /></a></div><br /><div><div>Setiap class pada Python harus diinisialisasi. Pada dasarnya, kita ingin menggunakan fungsi __init__ (yaitu dua garis bawah sebelum dan setelah kata init) untuk memberi objek beberapa karakteristik dasar. Dalam kasus kita, ini akan menjadi karakteristik bagaimana kita ingin membersihkan/cleaning data.</div><div><br /></div><div><b>self</b> adalah elemen penting dari program berorientasi objek. Ini adalah class itu sendiri dan akan menjadi variabel yang dapat kita tambahkan atributnya.</div><div><b>text</b> akan menjadi daftar teks yang ingin kita bersihkan. Variabel ini wajib dimasukkan oleh pengguna saat memanggil kelas Preprocess yang kita buat.</div><div><b>sw</b> adalah daftar stopwords. Kamu akan melihat ini sama dengan nilai (stopwords.words ('english')). Ini berarti secara default stopwords akan diimpor dari modul nltk (alat bahasa alami yang bagus yang dibuat oleh orang-orang baik di UPenn http://www.nltk.org). Ini berarti sw TIDAK wajib karena akan mengambil nilai secara default jika pengguna tidak memberinya nilai.</div><div><b>lower</b> adalah variabel Boolean secara default sama dengan True. Kita akan menggunakan ini nanti untuk mengetahui apakah teks harus huruf kecil atau tidak.</div><div><b>stem</b> adalah variabel Boolean secara default sama dengan True. Kita akan menggunakan ini nanti untuk mengetahui apakah akan stem kata-kata dalam teks atau tidak.</div><div>Baris terakhir seperti self.text = text adalah atribut pegging ke objek kita. Artinya, di tempat lain di dalam kelas, kita dapat merujuk ke atribut ini dengan menjalankan/running class_instance.text.</div><div>(type (text) == pd.core.series.Series) memeriksa apakah teks tersebut adalah seri Pandas/pandas series. Jika bukan, maka kita akan mengconvert menjadi satu. Pandas adalah modul yang memudahkan untuk memanipulasi list, misalnya menurunkan casing atau mengembalikan dataframe.</div><div>Berikut contohnya:</div></div><div><br /></div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh7TYIsRcz4IUF-AEM372Ax_FvAHBiYEuzwSkK_BRnA5yAcJ9NpLP12CgaRlrRAVf6KkhIxqD0Lfz17NCVk9hkZTJy-b0SmqWh6154Xre6ijMDXmIBZ8aWXz5GD1ASp1pouNQ4QzQGGFYc/s1315/3.textprep.PNG" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="620" data-original-width="1315" height="302" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh7TYIsRcz4IUF-AEM372Ax_FvAHBiYEuzwSkK_BRnA5yAcJ9NpLP12CgaRlrRAVf6KkhIxqD0Lfz17NCVk9hkZTJy-b0SmqWh6154Xre6ijMDXmIBZ8aWXz5GD1ASp1pouNQ4QzQGGFYc/w640-h302/3.textprep.PNG" width="640" /></a></div><div><br /></div><div>Pertama kita membuat instance kelas, lalu kita memanggil atributnya (teks yang saya cetak hanya bagian atas, atau head, dari dataframe untuk menghemat ruang).</div><div><br /></div><div>Sekarang kita memiliki fungsi __ init __ , mari kita definisikan method pertama kita. Method adalah fungsi di dalam class. Argumen pertama harus self, karena variabel ini berisi atribut yang kita definisikan dalam fungsi __ init __ . Pertama, kita akan memeriksa apakah atribut lower adalah True; jika demikian, mari kita kecilkan teksnya. Kemudian, mari kita pisahkan setiap teks menjadi list kata. </div><div><br /></div><div>Dengan cara ini kita dapat menggilir setiap kata dan i) stem jika self.stem True ii) Menghapusnya.remove jika itu stopword.</div><div>Mirip dengan fungsi Python lainnya, kita dapat mendefinisikan fungsi di dalam fungsi untuk membuat kode yang lebih bersih. Terakhir, kita akan menggabungkan setiap list kata untuk membuat string, dan kemudian menginisialisasi objek TfidfVectorizer. TfidfVectorizer akan memungkinkan kita membuat matriks padat di mana setiap kolom adalah kata dalam kosakata kita, dan setiap baris sesuai dengan dokumen.</div><div><br /></div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhIFZv6JfuIIYDdZG4uXumiPCfXM0IMiPaN3R9Lh4ZIeoISxno2djIV82SqPAgL2V08OXjnk5pGo3L9QpAy6K9JgNrGYH5UFS-g4nhksisMjiXs8PDtr47hiRCSvTdg4gnVqzcnVrDiz-4/s855/4.textprep.PNG" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="738" data-original-width="855" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhIFZv6JfuIIYDdZG4uXumiPCfXM0IMiPaN3R9Lh4ZIeoISxno2djIV82SqPAgL2V08OXjnk5pGo3L9QpAy6K9JgNrGYH5UFS-g4nhksisMjiXs8PDtr47hiRCSvTdg4gnVqzcnVrDiz-4/s16000/4.textprep.PNG" /></a></div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj0O6JGyZ6Xjg7RmocFmoc135GB21I4IrLfyUWxlSrm8DgCNbZjhcpnE2CTX8ehiEvpZYNr1Fm55Ij2fCiDKzEUaLYfExHFWIGjQ57TuHWCwNmUFvFVIj8VJDfjpppXhFN8Q8Fsrc6J3po/s704/5.textprep.PNG" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="562" data-original-width="704" height="511" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj0O6JGyZ6Xjg7RmocFmoc135GB21I4IrLfyUWxlSrm8DgCNbZjhcpnE2CTX8ehiEvpZYNr1Fm55Ij2fCiDKzEUaLYfExHFWIGjQ57TuHWCwNmUFvFVIj8VJDfjpppXhFN8Q8Fsrc6J3po/w640-h511/5.textprep.PNG" width="640" /></a></div><br /><div><div>Atribut df_dense adalah representasi dense dari matriks TF-IDF (<a href="https://en.wikipedia.org/wiki/Tf%E2%80%93idf" target="_blank">wikipedia</a>).. (0, 70) sesuai dengan dokumen pertama, "frankly, dear, I don't give a damn.", Dan kata ke-70 dalam kosakata kita yang terkandung dalam kutipan itu. 0.478079... adalah skor TF-IDF.</div><div>Kita mungkin ingin mengembalikan ini dalam bentuk kumpulan data yang lebih mudah dibaca. Jadi mari kita buat dataframe Pandas di mana kolomnya adalah kata-kata dalam kosakata kita setelah membersihkan teks, self.vectorizer.get_feature_names(), dan kemudian nilai yang bisa kita dapatkan dari self.df_dense.toarray().</div><div>onehot akan menjadi variabel yang dapat kita gunakan sehingga pengguna dapat mengembalikan matriks dengan nilai 1 jika dokumen tersebut berisi kata dalam kosa kata di posisi ke-i, atau skor TF-IDF.</div></div><div><br /></div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiPcK2sKkutNGTI1rDBHPj76VNh2Jcbm2cNUhqfkqcbPBZ7jSH1BCjnn7LmYSeO8bgUZfFIqlyjilxBQSIRhPEhsyicWyR5qdTLvOk5-DU17HC1B87bAqiIt4jTO48ssYWeNSIs5gB5m4U/s672/8.textprep.PNG" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="421" data-original-width="672" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiPcK2sKkutNGTI1rDBHPj76VNh2Jcbm2cNUhqfkqcbPBZ7jSH1BCjnn7LmYSeO8bgUZfFIqlyjilxBQSIRhPEhsyicWyR5qdTLvOk5-DU17HC1B87bAqiIt4jTO48ssYWeNSIs5gB5m4U/s16000/8.textprep.PNG" /></a></div><br /><div>Dari hasil diatas kita akan coba convert dalam bentuk csv file</div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg7ypCdv5DVKNWYKhlB3LJxPnP60ZzZFUA3KZnJaGCakMhGNFYKp2JOEWmulU1Qmgj6RbkjbV1eLWq8gaZhPxWgyyInb33r1AZ-HrQfArgEctL5BLC0-mSxHys7jk0XY1qSZF6TUnOi5Fc/s804/9.textprep.PNG" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="73" data-original-width="804" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg7ypCdv5DVKNWYKhlB3LJxPnP60ZzZFUA3KZnJaGCakMhGNFYKp2JOEWmulU1Qmgj6RbkjbV1eLWq8gaZhPxWgyyInb33r1AZ-HrQfArgEctL5BLC0-mSxHys7jk0XY1qSZF6TUnOi5Fc/s16000/9.textprep.PNG" /></a></div><br /><div><br /></div><div><br /></div><div><br /></div>Jimmy Pujosenohttp://www.blogger.com/profile/17973647737656365646noreply@blogger.com0tag:blogger.com,1999:blog-7652763575876291773.post-24316720158323650482020-09-17T14:25:00.004+07:002020-09-17T14:30:06.005+07:00Speech to Text pada Python<div class="separator" style="clear: both; text-align: justify;"><span style="text-align: left;">Halo guys, kalo ini kita akan coba untuk mengubah suara menjadi text. Sebelum itu kita harus tau dulu tentang Speech recognition. </span></div><div class="separator" style="clear: both; text-align: justify;"><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgVktaW91D6U7ZxUdJj_bO14tnitna9ffCGvj_AVRKefQveaLr_28xq78MQKHIPAoTBbCVmHZ1UqWZezwv3YbLcXSjQBkKndZYl8rtL_q8gvzx2qAbGSHYSesaUopVaLNEuibypwbDQ8f8/s909/speech-to-text-software.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="320" data-original-width="909" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgVktaW91D6U7ZxUdJj_bO14tnitna9ffCGvj_AVRKefQveaLr_28xq78MQKHIPAoTBbCVmHZ1UqWZezwv3YbLcXSjQBkKndZYl8rtL_q8gvzx2qAbGSHYSesaUopVaLNEuibypwbDQ8f8/s16000/speech-to-text-software.png" /></a></div></div><p>Speech recognition berakar pada penelitian yang dilakukan di Bell Labs pada awal 1950-an. Sistem awal terbatas pada satu penutur dan memiliki kosakata terbatas sekitar selusin kata. Sistem Speech recognition modern telah berkembang pesat sejak sistem lama tersebut. Mereka dapat mengenali ucapan dari berbagai penutur dan memiliki banyak kosakata dalam berbagai bahasa.</p><p>Komponen pertama dari Speech recognition, tentu saja, adalah ucapan/ speech. Ucapan harus diubah dari suara fisik menjadi sinyal listrik dengan mikrofon, dan kemudian ke data digital dengan konverter analog-ke-digital. Setelah mendigitalkan, beberapa model dapat digunakan untuk mentranskripsikan audio menjadi teks.</p><p>Kebanyakan sistem Speech recognition modern mengandalkan apa yang dikenal sebagai Hidden Markov Model (HMM). Pendekatan ini bekerja dengan asumsi bahwa sinyal ucapan, jika dilihat dalam skala waktu yang cukup singkat (katakanlah, sepuluh milidetik), dapat diperkirakan secara wajar sebagai proses stasioner, yaitu proses di mana properti statistik tidak berubah seiring waktu.</p><p>Dalam HMM, sinyal ucapan dibagi menjadi fragmen 10 milidetik. Spektrum daya setiap fragmen, yang pada dasarnya adalah plot kekuatan sinyal sebagai fungsi frekuensi, dipetakan ke vektor bilangan real yang dikenal sebagai koefisien cepstral. Dimensi vektor ini biasanya kecil terkadang serendah 10, meskipun sistem yang lebih akurat mungkin memiliki dimensi 32 atau lebih. Keluaran akhir dari HMM adalah urutan vektor-vektor ini.</p><p>Untuk memecahkan code speech menjadi teks, kelompok vektor dicocokkan dengan satu atau lebih fonem unit dasar ucapan. Perhitungan ini memerlukan pelatihan, karena bunyi fonem bervariasi dari satu pembicara ke pembicara lainnya, dan bahkan berbeda dari satu ucapan ke ucapan lainnya oleh pembicara yang sama. Algoritma khusus kemudian diterapkan untuk menentukan kata (atau kata) yang paling mungkin menghasilkan urutan fonem tertentu.</p><p>Dapat dibayangkan bahwa seluruh proses ini mungkin mahal secara komputasi. Dalam banyak sistem speech recognition modern, neural network digunakan untuk menyederhanakan sinyal ucapan menggunakan teknik untuk transformasi fitur dan pengurangan dimensi sebelum pengenalan HMM. Voice activity detectors (VAD) juga digunakan untuk mengurangi sinyal audio menjadi hanya bagian yang kemungkinan besar berisi ucapan. Ini mencegah pengenal membuang-buang waktu menganalisis bagian sinyal yang tidak perlu.</p><p>Disini Kita akan menggunkan library SpeechRecognition di python. Sebelum itu kita akan coba bahas sedikit mengenai library ini. Untuk menginstallnya kita cukup gunakan perintah pip install SpeechRecognition.</p><p>Didalam SpeechRecognition terdapat Recognizer class. Tujuan utama dari instance Recognizer tentu saja, untuk mengenali ucapan. Setiap instance hadir dengan berbagai pengaturan dan fungsionalitas untuk mengenali ucapan dari sumber audio.</p><p>Setiap instance Recognizer memiliki tujuh metode untuk mengenali ucapan dari sumber audio menggunakan berbagai API. :</p><p>recognize_bing(): Microsoft Bing Speech</p><p>recognize_google(): Google Web Speech API</p><p>recognize_google_cloud(): Google Cloud Speech - requires installation of the google-cloud-speech package</p><p>recognize_houndify(): Houndify by SoundHound</p><p>recognize_ibm(): IBM Speech to Text</p><p>recognize_sphinx(): CMU Sphinx - requires installing PocketSphinx</p><p>recognize_wit(): Wit.ai</p><p>Biar gk terlalu kepanjangan kita langsung coba saja gasss.</p><p>Pertama kita import terlebih dahulu librarynya</p><p>import speech_recognition as sr</p><p>Kemudian disini saya ngedefine sr.Recognizer() sebagai r</p><p>r = sr.Recognizer()</p><p>statement with di Python digunakan dalam penanganan pengecualian untuk membuat kode lebih bersih dan lebih mudah dibaca. Kemudian kita masukkan juga lokasi file yang akan kita ubah menjadi text. Dan setelah itu kita record file yang akan kita transkripsi agar bisa di masukkan langsung ke dalam fungsi recognize google.</p><p>with sr.AudioFile("file/Gombel.wav") as source:</p><p>audio = r.record(source)</p><p>Kemudian disini adalah proses pengenalan dan pengubahan dari audio menjadi text menggunakan Google Speech Recognition.</p><p>try:</p><p>print("Transkripsi: " + r.recognize_google(audio, language="id-ID")) </p><p>LookupError Exception adalah kelas Dasar untuk error yang muncul ketika sesuatu tidak dapat ditemukan atau speech is unintelligible. </p><p>except LookupError: </p><p>print("Saya tidak mengerti")</p><p>Setelah kita running maka akan mendapatkan output seperti ini</p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi2_x7AEKZeSyUR1kkaQMerTmp5T1m7jnIH8y-AN9Sa0NPld8nV4d7odZIM94FJR1nKKBZ4QbiA2PiGM21f-KrusXvvLz5nNo8fMMS3_9USVfefz1gHR9jaLSL-npHYI52IP72tUU1n8uU/s1187/output+blog.PNG" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="69" data-original-width="1187" height="37" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi2_x7AEKZeSyUR1kkaQMerTmp5T1m7jnIH8y-AN9Sa0NPld8nV4d7odZIM94FJR1nKKBZ4QbiA2PiGM21f-KrusXvvLz5nNo8fMMS3_9USVfefz1gHR9jaLSL-npHYI52IP72tUU1n8uU/w640-h37/output+blog.PNG" width="640" /></a></div><br /><div><div>Untuk sourcenya : <a href="https://pypi.org/project/SpeechRecognition/" target="_blank">SpeechRecognition</a></div><div>Kalian bisa download di github : <a href="https://github.com/pujoseno/Speech-recognition" target="_blank">pujoseno</a></div><div>Mungkin sekian dulu untuk post kali ini sampai jumpa di next post.</div></div><div><br /></div>Jimmy Pujosenohttp://www.blogger.com/profile/17973647737656365646noreply@blogger.com0