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A Bayesian Hierarchical Approach to Multirater Correlated ROC Analysis

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  • Tim Johnson

    (University of Michigan Biostatistics)

  • Valen Johnson

    (University of Michigan School of Public Health)

Abstract

In a common ROC study design, several readers are asked to rate diagnostics of the same cases processed under different modalities. We describe a Bayesian hierarchical model that facilitates the analysis of this study design by explicitly modeling the three sources of variation inherent to it. In so doing, we achieve substantial reductions in the posterior uncertainty associated with estimates of the differences in areas under the estimated ROC curves and corresponding reductions in the mean squared error (MSE) of these estimates. Based on simulation studies, both the widths of confidence intervals and MSE of estimates of differences in the area under the curves appear to be reduced by a factor that often exceeds two. Thus, our methodology has important implications for increasing the power of analyses based on ROC data collected from an available study population.

Suggested Citation

  • Tim Johnson & Valen Johnson, 2004. "A Bayesian Hierarchical Approach to Multirater Correlated ROC Analysis," The University of Michigan Department of Biostatistics Working Paper Series 1027, Berkeley Electronic Press.
    • Handle: RePEc:bep:mchbio:1027
    Note: oai:bepress.com:umichbiostat-1027
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    References listed on IDEAS

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    1. Dodd L.E. & Pepe M.S., 2003. "Semiparametric Regression for the Area Under the Receiver Operating Characteristic Curve," Journal of the American Statistical Association, American Statistical Association, vol. 98, pages 409-417, January.
    2. Patrick J. Heagerty & Thomas Lumley & Margaret S. Pepe, 2000. "Time-Dependent ROC Curves for Censored Survival Data and a Diagnostic Marker," Biometrics, The International Biometric Society, vol. 56(2), pages 337-344, June.
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