## Technical Report VI

#### Wolfram Demonstrations Project

# Uncertainty of Measurement and Areas Over and Under the ROC Curves

### A T Hatjimihail

#### Abstract

This Demonstration compares the ratios of the areas under the curve (AUC) and the ratios of the areas over the curve (AOC) of the receiver operating characteristic (ROC) plots of two diagnostic tests (ratio of the AUC of the first test to the AUC of the second test: blue plot, ratio of the AOC of the first test to the AOC of the second test: orange plot). The two tests measure the same measurand, for normally distributed nondiseased and diseased populations, for various values of the mean and standard deviation of the populations, and of the uncertainty of measurement of the tests. A normal distribution of the uncertainty is assumed. The uncertainty of the first test is defined. It is assumed that the uncertainty of the second test is greater than the uncertainty of the first test and varies up to a user defined upper bound. The six parameters that you can vary using the sliders are measured in arbitrary units.

#### Published

2018

#### Citation

Hatjimihail AT. Uncertainty of Measurement and Areas Over and Under the ROC Curves. Technical Report VI. Drama: Hellenic Complex Systems Laboratory, 2018. https://www.hcsl.com/TR/hcsltr06/hcsltr06.pdf