What is the difference between Rand Index (RI) and Simple Matching Coeffiecient (SMC) in clustering?





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I don't understand the difference between Rand Index (RI) and Simple matching Coefficient (SMC). From the calculation provided in the following page, the calculation looks so similar.



RI: https://nlp.stanford.edu/IR-book/html/htmledition/evaluation-of-clustering-1.html



SMC: https://en.wikipedia.org/wiki/Simple_matching_coefficient



Are they kind of the same thing?



Thanks!










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migrated from stackoverflow.com Jan 4 at 15:47


This question came from our site for professional and enthusiast programmers.

























    0












    $begingroup$


    I don't understand the difference between Rand Index (RI) and Simple matching Coefficient (SMC). From the calculation provided in the following page, the calculation looks so similar.



    RI: https://nlp.stanford.edu/IR-book/html/htmledition/evaluation-of-clustering-1.html



    SMC: https://en.wikipedia.org/wiki/Simple_matching_coefficient



    Are they kind of the same thing?



    Thanks!










    share|cite|improve this question









    $endgroup$



    migrated from stackoverflow.com Jan 4 at 15:47


    This question came from our site for professional and enthusiast programmers.





















      0












      0








      0





      $begingroup$


      I don't understand the difference between Rand Index (RI) and Simple matching Coefficient (SMC). From the calculation provided in the following page, the calculation looks so similar.



      RI: https://nlp.stanford.edu/IR-book/html/htmledition/evaluation-of-clustering-1.html



      SMC: https://en.wikipedia.org/wiki/Simple_matching_coefficient



      Are they kind of the same thing?



      Thanks!










      share|cite|improve this question









      $endgroup$




      I don't understand the difference between Rand Index (RI) and Simple matching Coefficient (SMC). From the calculation provided in the following page, the calculation looks so similar.



      RI: https://nlp.stanford.edu/IR-book/html/htmledition/evaluation-of-clustering-1.html



      SMC: https://en.wikipedia.org/wiki/Simple_matching_coefficient



      Are they kind of the same thing?



      Thanks!







      r machine-learning






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      share|cite|improve this question











      share|cite|improve this question




      share|cite|improve this question










      asked Jan 4 at 14:31









      bihappywaterbihappywater

      1




      1




      migrated from stackoverflow.com Jan 4 at 15:47


      This question came from our site for professional and enthusiast programmers.









      migrated from stackoverflow.com Jan 4 at 15:47


      This question came from our site for professional and enthusiast programmers.
























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          $begingroup$

          They can both be interpreted as accuracy of something but that is a fairly shallow level where they are "the same" because the accuracy is computed on different values.



          See also ACC here: https://en.wikipedia.org/wiki/Evaluation_of_binary_classifiers



          The differences are:




          • How you compute the four values in the first place - by simple matching or by pairs (Rand)

          • How and where you use it, e.g. in classification or distance

          • The concepts and theoretical arguments for using this equation - the why this is the right thing to do






          share|cite|improve this answer









          $endgroup$













          • $begingroup$
            Thank you Anony-Mousse. I am matching by pair (RAND) for clustering evaluation. Not sure yet if I understand the answer....
            $endgroup$
            – bihappywater
            Jan 7 at 15:22










          • $begingroup$
            SMC compares two arrays, position by position (not pairs of clusters) on whether they match. So "woof" and "wool" match in 3 of 4 positions.
            $endgroup$
            – Anony-Mousse
            Jan 7 at 19:40












          Your Answer








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          0












          $begingroup$

          They can both be interpreted as accuracy of something but that is a fairly shallow level where they are "the same" because the accuracy is computed on different values.



          See also ACC here: https://en.wikipedia.org/wiki/Evaluation_of_binary_classifiers



          The differences are:




          • How you compute the four values in the first place - by simple matching or by pairs (Rand)

          • How and where you use it, e.g. in classification or distance

          • The concepts and theoretical arguments for using this equation - the why this is the right thing to do






          share|cite|improve this answer









          $endgroup$













          • $begingroup$
            Thank you Anony-Mousse. I am matching by pair (RAND) for clustering evaluation. Not sure yet if I understand the answer....
            $endgroup$
            – bihappywater
            Jan 7 at 15:22










          • $begingroup$
            SMC compares two arrays, position by position (not pairs of clusters) on whether they match. So "woof" and "wool" match in 3 of 4 positions.
            $endgroup$
            – Anony-Mousse
            Jan 7 at 19:40
















          0












          $begingroup$

          They can both be interpreted as accuracy of something but that is a fairly shallow level where they are "the same" because the accuracy is computed on different values.



          See also ACC here: https://en.wikipedia.org/wiki/Evaluation_of_binary_classifiers



          The differences are:




          • How you compute the four values in the first place - by simple matching or by pairs (Rand)

          • How and where you use it, e.g. in classification or distance

          • The concepts and theoretical arguments for using this equation - the why this is the right thing to do






          share|cite|improve this answer









          $endgroup$













          • $begingroup$
            Thank you Anony-Mousse. I am matching by pair (RAND) for clustering evaluation. Not sure yet if I understand the answer....
            $endgroup$
            – bihappywater
            Jan 7 at 15:22










          • $begingroup$
            SMC compares two arrays, position by position (not pairs of clusters) on whether they match. So "woof" and "wool" match in 3 of 4 positions.
            $endgroup$
            – Anony-Mousse
            Jan 7 at 19:40














          0












          0








          0





          $begingroup$

          They can both be interpreted as accuracy of something but that is a fairly shallow level where they are "the same" because the accuracy is computed on different values.



          See also ACC here: https://en.wikipedia.org/wiki/Evaluation_of_binary_classifiers



          The differences are:




          • How you compute the four values in the first place - by simple matching or by pairs (Rand)

          • How and where you use it, e.g. in classification or distance

          • The concepts and theoretical arguments for using this equation - the why this is the right thing to do






          share|cite|improve this answer









          $endgroup$



          They can both be interpreted as accuracy of something but that is a fairly shallow level where they are "the same" because the accuracy is computed on different values.



          See also ACC here: https://en.wikipedia.org/wiki/Evaluation_of_binary_classifiers



          The differences are:




          • How you compute the four values in the first place - by simple matching or by pairs (Rand)

          • How and where you use it, e.g. in classification or distance

          • The concepts and theoretical arguments for using this equation - the why this is the right thing to do







          share|cite|improve this answer












          share|cite|improve this answer



          share|cite|improve this answer










          answered Jan 5 at 9:39









          Anony-MousseAnony-Mousse

          30.9k54181




          30.9k54181












          • $begingroup$
            Thank you Anony-Mousse. I am matching by pair (RAND) for clustering evaluation. Not sure yet if I understand the answer....
            $endgroup$
            – bihappywater
            Jan 7 at 15:22










          • $begingroup$
            SMC compares two arrays, position by position (not pairs of clusters) on whether they match. So "woof" and "wool" match in 3 of 4 positions.
            $endgroup$
            – Anony-Mousse
            Jan 7 at 19:40


















          • $begingroup$
            Thank you Anony-Mousse. I am matching by pair (RAND) for clustering evaluation. Not sure yet if I understand the answer....
            $endgroup$
            – bihappywater
            Jan 7 at 15:22










          • $begingroup$
            SMC compares two arrays, position by position (not pairs of clusters) on whether they match. So "woof" and "wool" match in 3 of 4 positions.
            $endgroup$
            – Anony-Mousse
            Jan 7 at 19:40
















          $begingroup$
          Thank you Anony-Mousse. I am matching by pair (RAND) for clustering evaluation. Not sure yet if I understand the answer....
          $endgroup$
          – bihappywater
          Jan 7 at 15:22




          $begingroup$
          Thank you Anony-Mousse. I am matching by pair (RAND) for clustering evaluation. Not sure yet if I understand the answer....
          $endgroup$
          – bihappywater
          Jan 7 at 15:22












          $begingroup$
          SMC compares two arrays, position by position (not pairs of clusters) on whether they match. So "woof" and "wool" match in 3 of 4 positions.
          $endgroup$
          – Anony-Mousse
          Jan 7 at 19:40




          $begingroup$
          SMC compares two arrays, position by position (not pairs of clusters) on whether they match. So "woof" and "wool" match in 3 of 4 positions.
          $endgroup$
          – Anony-Mousse
          Jan 7 at 19:40


















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