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Activity Number: 132
Type: Contributed
Date/Time: Monday, August 3, 2009 : 8:30 AM to 10:20 AM
Sponsor: Section on Bayesian Statistical Science
Abstract - #304353
Title: Bayesian Analysis and Classification of Two Quantitative Diagnostic Tests with False Negatives and No Gold Standard
Author(s): Jingyang Zhang*+ and Kathryn Chaloner and Jack Stapleton
Companies: The University of Iowa and The University of Iowa and The University of Iowa
Address: #108 E177 General Hospital, Iowa City, IA, 52242,
Keywords: Bayesian statistics ; Mixture Model ; Markov Chain Monte Carlo ; Metropolis-within-Gibbs Sampling ; Statistical Decision Theory
Abstract:

Two diagnostic tests are used to detect antibodies to the GB Virus type C (GBV-C) envelope glycoprotein E2. There is no reference test (gold standard). Each test looks for a characteristic that is typically present if the antibodies are present, but is sometimes absent. A model is developed reflecting the presence of false negatives due to the absence of either characteristic independently. A mixture of four bivariate normal distributions is used along with a prior distribution and a Bayesian analysis. Test results from 100 subjects are analyzed using the Metropolis-within-Gibbs sampler. Subjects are classified by a statistical decision rule, and the classification appears to separate the subjects well into those that are positive and negative for GBV-C antibodies.


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