Kolmogorov–Smirnov test in logistic regression












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












    $begingroup$


    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






      share|cite|improve this question













      share|cite|improve this question











      share|cite|improve this question




      share|cite|improve this question










      asked Jan 7 at 7:01









      Hing WongHing Wong

      235




      235






















          0






          active

          oldest

          votes











          Your Answer





          StackExchange.ifUsing("editor", function () {
          return StackExchange.using("mathjaxEditing", function () {
          StackExchange.MarkdownEditor.creationCallbacks.add(function (editor, postfix) {
          StackExchange.mathjaxEditing.prepareWmdForMathJax(editor, postfix, [["$", "$"], ["\\(","\\)"]]);
          });
          });
          }, "mathjax-editing");

          StackExchange.ready(function() {
          var channelOptions = {
          tags: "".split(" "),
          id: "69"
          };
          initTagRenderer("".split(" "), "".split(" "), channelOptions);

          StackExchange.using("externalEditor", function() {
          // Have to fire editor after snippets, if snippets enabled
          if (StackExchange.settings.snippets.snippetsEnabled) {
          StackExchange.using("snippets", function() {
          createEditor();
          });
          }
          else {
          createEditor();
          }
          });

          function createEditor() {
          StackExchange.prepareEditor({
          heartbeatType: 'answer',
          autoActivateHeartbeat: false,
          convertImagesToLinks: true,
          noModals: true,
          showLowRepImageUploadWarning: true,
          reputationToPostImages: 10,
          bindNavPrevention: true,
          postfix: "",
          imageUploader: {
          brandingHtml: "Powered by u003ca class="icon-imgur-white" href="https://imgur.com/"u003eu003c/au003e",
          contentPolicyHtml: "User contributions licensed under u003ca href="https://creativecommons.org/licenses/by-sa/3.0/"u003ecc by-sa 3.0 with attribution requiredu003c/au003e u003ca href="https://stackoverflow.com/legal/content-policy"u003e(content policy)u003c/au003e",
          allowUrls: true
          },
          noCode: true, onDemand: true,
          discardSelector: ".discard-answer"
          ,immediatelyShowMarkdownHelp:true
          });


          }
          });














          draft saved

          draft discarded


















          StackExchange.ready(
          function () {
          StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3064725%2fkolmogorov-smirnov-test-in-logistic-regression%23new-answer', 'question_page');
          }
          );

          Post as a guest















          Required, but never shown

























          0






          active

          oldest

          votes








          0






          active

          oldest

          votes









          active

          oldest

          votes






          active

          oldest

          votes
















          draft saved

          draft discarded




















































          Thanks for contributing an answer to Mathematics Stack Exchange!


          • Please be sure to answer the question. Provide details and share your research!

          But avoid



          • Asking for help, clarification, or responding to other answers.

          • Making statements based on opinion; back them up with references or personal experience.


          Use MathJax to format equations. MathJax reference.


          To learn more, see our tips on writing great answers.




          draft saved


          draft discarded














          StackExchange.ready(
          function () {
          StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3064725%2fkolmogorov-smirnov-test-in-logistic-regression%23new-answer', 'question_page');
          }
          );

          Post as a guest















          Required, but never shown





















































          Required, but never shown














          Required, but never shown












          Required, but never shown







          Required, but never shown

































          Required, but never shown














          Required, but never shown












          Required, but never shown







          Required, but never shown







          Popular posts from this blog

          1300-talet

          1300-talet

          Display a custom attribute below product name in the front-end Magento 1.9.3.8