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	<title><![CDATA[BOL: Backward Elimination with Python]]></title>
	<link>https://bioinformaticsonline.com/snippets/view/38544/backward-elimination-with-python?</link>
	<atom:link href="https://bioinformaticsonline.com/snippets/view/38544/backward-elimination-with-python?" rel="self" type="application/rss+xml" />
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	<guid isPermaLink="true">https://bioinformaticsonline.com/snippets/view/38544/backward-elimination-with-python</guid>
	<pubDate>Fri, 28 Dec 2018 07:16:48 -0600</pubDate>
	<link>https://bioinformaticsonline.com/snippets/view/38544/backward-elimination-with-python</link>
	<title><![CDATA[Backward Elimination with Python]]></title>
	<description><![CDATA[<code>#Backward Elimination with p-values only:

import statsmodels.formula.api as sm
def backwardElimination(x, sl):
    numVars = len(x[0])
    for i in range(0, numVars):
        regressor_OLS = sm.OLS(y, x).fit()
        maxVar = max(regressor_OLS.pvalues).astype(float)
        if maxVar &gt; sl:
            for j in range(0, numVars - i):
                if (regressor_OLS.pvalues[j].astype(float) == maxVar):
                    x = np.delete(x, j, 1)
    regressor_OLS.summary()
    return x
 
SL = 0.05
X_opt = X[:, [0, 1, 2, 3, 4, 5]]
X_Modeled = backwardElimination(X_opt, SL)

#Backward Elimination with p-values and Adjusted R Squared:
import statsmodels.formula.api as sm
def backwardElimination(x, SL):
    numVars = len(x[0])
    temp = np.zeros((50,6)).astype(int)
    for i in range(0, numVars):
        regressor_OLS = sm.OLS(y, x).fit()
        maxVar = max(regressor_OLS.pvalues).astype(float)
        adjR_before = regressor_OLS.rsquared_adj.astype(float)
        if maxVar &gt; SL:
            for j in range(0, numVars - i):
                if (regressor_OLS.pvalues[j].astype(float) == maxVar):
                    temp[:,j] = x[:, j]
                    x = np.delete(x, j, 1)
                    tmp_regressor = sm.OLS(y, x).fit()
                    adjR_after = tmp_regressor.rsquared_adj.astype(float)
                    if (adjR_before &gt;= adjR_after):
                        x_rollback = np.hstack((x, temp[:,[0,j]]))
                        x_rollback = np.delete(x_rollback, j, 1)
                        print (regressor_OLS.summary())
                        return x_rollback
                    else:
                        continue
    regressor_OLS.summary()
    return x
 
SL = 0.05
X_opt = X[:, [0, 1, 2, 3, 4, 5]]
X_Modeled = backwardElimination(X_opt, SL)</code>]]></description>
	<dc:creator>BioStar</dc:creator>
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