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Parametric Three-Way Receiver Operating Characteristic Surface Analysis Using Mathematica

Author

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  • Paul S. Heckerling

    (Section of General Internal Medicine, Department of Medicine, University of Illinois at Chicago)

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.

Suggested Citation

  • Paul S. Heckerling, 2001. "Parametric Three-Way Receiver Operating Characteristic Surface Analysis Using Mathematica," Medical Decision Making, , vol. 21(5), pages 409-417, October.
    • Handle: RePEc:sae:medema:v:21:y:2001:i:5:p:409-417
    DOI: 10.1177/0272989X0102100507
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    Cited by:

    1. Wan, Shuwen & Zhang, Biao, 2015. "Using proportional odds models for semiparametric ROC surface estimation," Statistics & Probability Letters, Elsevier, vol. 105(C), pages 74-79.

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