Technical Report VI

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) p) curves of two diagnostic tests (ratio of the first test AUC to the second test AUC: 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 in normally distributed nondiseased and diseased populations, for various values of the population means and standard deviations, and of the uncertainty of measurement of the tests. A normal distribution of uncertainty is assumed. The uncertainty of the first test is specified. 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 the user can vary using the sliders are measured in arbitrary units.

First Published

2009-04-20

Revised

2026-06-05

DOI

10.5281/zenodo.20550912

Citation

Hatjimihail AT. Uncertainty of Measurement and Areas Over and Under the ROC Curves. Technical Report VI. Hellenic Complex Systems Laboratory; 2009. https://doi.org/10.5281/zenodo.20550912.

Full Text

Source Notebook (Revised on 2026-06-05)

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