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Activity Number: 294
Type: Contributed
Date/Time: Tuesday, July 31, 2007 : 10:30 AM to 12:20 PM
Sponsor: Section on Bayesian Statistical Science
Abstract - #309491
Title: A Bayesian Nonparametric Multivariate Model for Evaluation of Correlated Diagnostic Tests
Author(s): Adam Branscum*+ and Timothy E. Hanson and Ian Gardner
Companies: University of Kentucky and The University of Minnesota and University of California, Davis
Address: College of Public Health, Lexington, KY, 40536,
Keywords: Bayesian nonparametrics ; Polya trees ; Diagnostic tests
Abstract:

We develop a flexible nonparametric model for the statistical analysis of multivariate serologic data. In this setting, sampled individuals are tested for a condition of interest using several imperfect continuous diagnostic tests. To provide for a degree of robustness to the structure imposed by multivariate normal models, the data for diseased and non-diseased individuals are modeled with independent multivariate mixtures of Polya trees. Data-driven estimates are available for ROC curves and areas under them for all diagnostic tests under consideration. We consider a tractable two-stage empirical Bayesian estimation procedure that is applied to the evaluation of two ELISA tests for Johne's disease.


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Revised September, 2007