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So on wikipedia here is the definition for area under the curve of the receiver operating characteristic.

enter image description here

Can someone give a simple example of calculating this given some predictive results in a binary classification problem, with the labels? I'm having a hard time imaging what this looks like for something like TPR = 0.6 and FPR = 0.2. When I think about it as area under that point seems infinitely small. enter image description here

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  • "TPR = 0.6 and FPR = 0.2" is a single point (close to your green curve). You need the full curve (or at least several points) find the area under it – Henry Sep 22 '21 at 09:22

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