## Technical Report XIX

#### Wolfram Demonstrations Project

# The Area Over a Receiver Operating Characteristic (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 (blue plot) and the area over (orange plot) 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 on 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.

#### Published

2018

#### Citation

Hatjimihail AT. The Area Over a Receiver Operating Characteristic (ROC) Curve as an Index of Diagnostic Inaccuracy. Technical Report XIX. Drama: Hellenic Complex Systems Laboratory, 2018. https://www.hcsl.com/TR/hcsltr19/hcsltr19.pdf