Global Goodness-of-Fit Tests in Logistic Regression with Sparse Data
Global Goodness-of-Fit Tests in Logistic Regression with Sparse Data
Global Goodness-of-Fit Tests in Logistic Regression with Sparse Data
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<strong>Data</strong>:Response1 01 Y 1 m 1 -Y 1 m 1Covariate 2 Y 2 m 2 -Y 2 m 2Pattern : : : :N Y N m N -Y N m NExample:Cont<strong>in</strong>uous covariate(s): N=M (m i ≡1)Response1 01 1 0 1Covariate 2 0 1 1Pattern : : : :N 1 0 1Model equation:πlogi = 1−πi <strong>with</strong> β j = (β 0 ,..., β p ) vector <strong>of</strong> regression parameters.Estimate parameters β j via ML.pj=0xijβjO.Kuss, <strong>Global</strong> <strong>Goodness</strong>-<strong>of</strong>-<strong>Fit</strong> <strong>Tests</strong> <strong>in</strong> <strong>Logistic</strong> <strong>Regression</strong> <strong>with</strong> <strong>Sparse</strong> <strong>Data</strong>, 2.11.02