title: Parametric three-way receiver operating characteristic surface analysis using mathematica.
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.
authors.affiliation: Department of Medicine, University of Illinois at Chicago, 60612, USA.
authors.forename: P S
authors.initials: PS
authors.lastname: Heckerling
mesh_terms: D000437:Alcoholism / Q000175:diagnosis / Q000523:psychology; D003657:Decision Making; D003661:Decision Support Techniques; D003936:Diagnosis, Computer-Assisted / Q000706:statistics & numerical data*; D006801:Humans; D016013:Likelihood Functions; D008432:Mathematical Computing; D015233:Models, Statistical; D012372:ROC Curve; D012680:Sensitivity and Specificity; D017603:Signal Detection, Psychological; D012984:Software