Parametric Three-Way Receiver Operating Characteristic Surface Analysis Using Mathematica

Paul S. Heckerling
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Paul S. Heckerling: Section of General Internal Medicine, Department of Medicine, University of Illinois at Chicago

Medical Decision Making, 2001, vol. 21, issue 5, 409-417

Abstract: Three-way receiver operating characteristic (ROC) surface analysis involves the calculation of a volume under an ROC surface (VUS), which is a measure of discriminatory accuracy of 2 diagnostic tests for 3 diseases. Nonparametric methods for calculating VUS and its standard error have been developed. The author presents the code for roc3D, a Mathematica computer program for performing parametric ROC surface analysis. roc3D calculates VUS assuming a multinormal distribution of test results in the 3 diseased populations, provides user-specified pointwise confidence limits for VUS, and displays a 3-dimensional plot of the ROC surface. Limitations of the roc3D program are discussed.

Keywords: three-way receiver operating characteristic; computer programs; Mathematica (search for similar items in EconPapers)
Date: 2001
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Persistent link: https://EconPapers.repec.org/RePEc:sae:medema:v:21:y:2001:i:5:p:409-417

DOI: 10.1177/0272989X0102100507

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