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matlab/stimROC.m 1.44 KB
29165fa9   David Mayerich   added ROC curve c...
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  function [TPR, FPR, AUC] = stimROC(C, T)
  %build an ROC curve
  %   C - class labels as an array of binary values (1 = true positive)
  %   T - threshold used for classification
  
      %sort the thresholds in descending order and get the indices
      [~, I] = sort(T, 'descend');
      
      %sort the class labels in the same order as the thresholds
      Cs = C(I);
      
      %calculate the number of measurements
      M = size(C, 2);
      
      %calculate the number of positives
      P = nnz(C);
  
      %calculate the number of negatives
      N = M - P;
      
      %if all examples are positives or negatives, return a perfect score?
      if P == M
          error('ERROR: no positive observations');
      end
      if P == 0
          error('ERROR: no negative observations');
      end
      
      %allocate space for the ROC curve
      TPR = zeros(1, M);
      FPR = zeros(1, M);
      
      
      
      %calculate the number of inflection points
      ip = 0;
      for i = 2:M
          if Cs(i) ~= Cs(i-1)
              ip = ip + 1;
          end
      end
      
      %initialize the true and false positive rates to zero
      TP = 0;
      FP = 0;
      for i = 1:M
          if Cs(i) == 1
              TP = TP + 1;
          else
              FP = FP + 1;
          end
          
          TPR(i) = TP / P;
          FPR(i) = FP / N;
      end
      
      %calculate the area under the ROC curve
      AUC = 0;
      for i = 2:M
          w = FPR(i) - FPR(i-1);
          h = TPR(i);
          AUC = AUC + w * h;
      end