Kolmogorov–Smirnov test in logistic regression












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When applying KS-test (as goodness-of-fit test) on logistic regression (class: 0,1), where x-axis = probability of being classified as class 1, sorting ascendingly. Here are the 2 questions:



1. Why are the 2 curves to plot are TPR, FPR? AFAK, usually two curves should be the cdf of 2 classes w.r.t. different thresholds on x-axis?



2. Why is the ks-value = max(TPR-FPR)? According to (1), these two rates would ignore the counts for TP and TN, right? If max(TPR-FPR) stands, what's the proof and derivation behind?





Troubled quite a while as there's limited explanation from googling...any help please?? Thanks in advance!










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    0












    $begingroup$


    When applying KS-test (as goodness-of-fit test) on logistic regression (class: 0,1), where x-axis = probability of being classified as class 1, sorting ascendingly. Here are the 2 questions:



    1. Why are the 2 curves to plot are TPR, FPR? AFAK, usually two curves should be the cdf of 2 classes w.r.t. different thresholds on x-axis?



    2. Why is the ks-value = max(TPR-FPR)? According to (1), these two rates would ignore the counts for TP and TN, right? If max(TPR-FPR) stands, what's the proof and derivation behind?





    Troubled quite a while as there's limited explanation from googling...any help please?? Thanks in advance!










    share|cite|improve this question









    $endgroup$















      0












      0








      0





      $begingroup$


      When applying KS-test (as goodness-of-fit test) on logistic regression (class: 0,1), where x-axis = probability of being classified as class 1, sorting ascendingly. Here are the 2 questions:



      1. Why are the 2 curves to plot are TPR, FPR? AFAK, usually two curves should be the cdf of 2 classes w.r.t. different thresholds on x-axis?



      2. Why is the ks-value = max(TPR-FPR)? According to (1), these two rates would ignore the counts for TP and TN, right? If max(TPR-FPR) stands, what's the proof and derivation behind?





      Troubled quite a while as there's limited explanation from googling...any help please?? Thanks in advance!










      share|cite|improve this question









      $endgroup$




      When applying KS-test (as goodness-of-fit test) on logistic regression (class: 0,1), where x-axis = probability of being classified as class 1, sorting ascendingly. Here are the 2 questions:



      1. Why are the 2 curves to plot are TPR, FPR? AFAK, usually two curves should be the cdf of 2 classes w.r.t. different thresholds on x-axis?



      2. Why is the ks-value = max(TPR-FPR)? According to (1), these two rates would ignore the counts for TP and TN, right? If max(TPR-FPR) stands, what's the proof and derivation behind?





      Troubled quite a while as there's limited explanation from googling...any help please?? Thanks in advance!







      logistic-regression






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      asked Jan 7 at 7:01









      Hing WongHing Wong

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