I am trying to thoroughly understand the ROC Curve and I was wondering why is an ROC Curve always (seemingly) TPR against FPR? I have had discussions with others about this matter and I cannot think of any reasons why it could not be, for example, FPR against TPR. Thank you for your time!
I think the reason is mainly conventional: If you plot FPR against TPR you obtain the same curve, except that is concave upward instead of downward, and the conventional summary statistics change meaning; e.g. the area under the curve (AUC) would decrease instead of increasing with classification accuracy.