Let’s rock ROC

Let’s rock ROC

All this time, it bothered me that the ROC in the post contains only three points. I’ve been thinking about this situation for a while, and I think I’ve found a small but genuinely new idea. I’m going to explain it slowly in a series of upcoming posts. But first, I want to check whether this thought is actually trivial. Please vote in the poll below, and feel free to leave comments.

Quick recap:
We have a model that gives scores of -1, 0, and 1. When we plot the ROC curve, we get a graph with 4 points and an AUROC of 56%.

The question is: can we calculate the dispersion of AUROC in this case?