## Technical Report V

#### Wolfram Demonstrations Project

# Receiver Operating Characteristic Curves and Uncertainty of Measurement

### A T Hatjimihail

#### Abstract

This Demonstration compares two receiver operating characteristic (ROC) plots of two diagnostic tests (first test: blue plot, second test: orange plot) measuring 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 ratio of the areas under the ROC curves of the two diagnostic tests is calculated. The six parameters that you can vary using the sliders are measured in arbitrary units.

#### Published

2018

#### Citation

Hatjimihail AT. Receiver Operating Characteristic Curves and Uncertainty of Measurement. Technical Report V. Drama: Hellenic Complex Systems Laboratory, 2018. https://www.hcsl.com/TR/hcsltr05/hcsltr05.pdf