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.

First Published

20/04/2009

Citation

Hatjimihail AT. Uncertainty of Measurement and Areas Over and Under the ROC Curves. Technical Report VI. Hellenic Complex Systems Laboratory; 2009. Available at: https://www.hcsl.com/TR/hcsltr06/hcsltr06.pdf

Full Text

Demonstration at Wolfram Demonstrations Project

Terms of Use

The material made freely available by Hellenic Complex Systems Laboratory is subject to its Terms of Use.