Technical Report XIX

Wolfram Demonstrations Project

The Area Over an ROC Curve as an Index of Diagnostic Inaccuracy

AT Hatjimihail

Abstract

This Demonstration plots the change, the relative change, the rate of change, and the relative rate of change of the area under and the area over the receiver operating characteristic (ROC) curve of a diagnostic test, as the uncertainty of measurement increases from 0 to a user defined upper bound. The test measures a measurand in normally distributed nondiseased and diseased populations, for various values of the mean and standard deviation of the populations. A normal distribution of the uncertainty is assumed. The type of plot is selected using the 'plot' menu. The five parameters that can be varied using the sliders are measured in arbitrary units.

First Published

2011-03-01

Revised

2026-06-07

DOI

10.5281/zenodo.20577149

Citation

Hatjimihail AT. The Area Over an ROC Curve as an Index of Diagnostic Inaccuracy. Technical Report XIX. Hellenic Complex Systems Laboratory; 2011. https://doi.org/10.5281/zenodo.20577149.

Full Text

Source Notebook (Revised on 2026-06-07)

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