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Parametric three-way receiver operating characteristic surface analysis using mathematica.

P S Heckerling1

  • 1Department of Medicine, University of Illinois at Chicago, 60612, USA.

Medical Decision Making : an International Journal of the Society for Medical Decision Making
|September 29, 2001
PubMed
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This study introduces roc3D, a Mathematica program for three-way receiver operating characteristic (ROC) surface analysis. It calculates the volume under the ROC surface (VUS) to assess diagnostic accuracy for multiple diseases.

Area of Science:

  • Biostatistics
  • Medical Informatics
  • Diagnostic Accuracy Research

Background:

  • Receiver Operating Characteristic (ROC) surface analysis is crucial for evaluating diagnostic tests.
  • Volume Under the ROC Surface (VUS) quantifies discriminatory accuracy for multiple diseases.
  • Existing nonparametric methods for VUS calculation have limitations.

Purpose of the Study:

  • To present roc3D, a Mathematica program for parametric ROC surface analysis.
  • To enable calculation of VUS and its confidence limits for 2 diagnostic tests across 3 diseases.
  • To visualize ROC surfaces in three dimensions.

Main Methods:

  • Parametric ROC surface analysis using a multinormal distribution assumption.
  • Implementation within the Mathematica software environment.

Related Experiment Videos

  • Calculation of VUS and user-specified pointwise confidence limits.

    • Main Results:

    • The roc3D program facilitates the calculation of VUS for three-disease scenarios.
    • It provides a method for obtaining confidence intervals for VUS.
    • The program generates 3D plots of the ROC surface for enhanced visualization.

    Conclusions:

    • roc3D offers a parametric approach to ROC surface analysis for complex diagnostic evaluations.
    • The software aids in quantifying and visualizing the discriminatory performance of diagnostic tests.
    • Further discussion on the limitations of the roc3D program is provided.