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ROC AUC (Trapezoid) from 5 Points Calculator

Area under the ROC curve from 5 (FPR, TPR) points.

Compute the area under a ROC curve using the trapezoidal rule on 5 user-supplied (FPR, TPR) operating points (plus the implicit (0,0) and (1,1) endpoints).

Daniel Oh By Daniel Oh
Published Last reviewed 1 min read

Inputs

Results

Enter values and click Calculate to see results.
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How to use this calculator

  1. Fill in the inputs above using the units you already have.
  2. Values update automatically as you type — no submit button needed.
  3. Hover any result row for the underlying formula and intermediate values.

Formula

AUC = Σ½ · (FPR_{i+1} − FPR_i) · (TPR_{i+1} + TPR_i).

In depth

Compute the area under a ROC curve using the trapezoidal rule on 5 user-supplied (FPR, TPR) operating points (plus the implicit (0,0) and (1,1) endpoints).