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Activity Number:
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294
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Type:
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Contributed
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Date/Time:
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Tuesday, July 31, 2007 : 10:30 AM to 12:20 PM
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Sponsor:
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Section on Bayesian Statistical Science
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| Abstract - #310221 |
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Title:
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Bayesian Analysis of Correlated Proportions (Matched-Pair Data) in 2 x 2 Tables with Incompletely Classified Data: Bayesian Extension of McNemar's Test to Missing Data
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Author(s):
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Yan Lin*+ and Stuart R. Lipsitz and Debajyoti Sinha and Scott Regenbogen and Caprice Greenberg
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Companies:
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The University of Texas M.D. Anderson Cancer Center and Brigham and Women's Hospital and Medical University of South and Harvard School of Public Health and Brigham and Women's Hospital
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Address:
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1515 Holcombe Blvd Unit 447, Houston, TX, 77030,
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Keywords:
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Dirichlet prior ; Gibbs sampler ; Ignorable missing data ; 2 x 2 table
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Abstract:
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Altham (1971) proposed a Bayesian analysis of a 2 x 2 contingency table formed from matched pairs. Using the same Bayesian perspective, we develop an extension of Altham's Bayesian methods to a 2 x 2 table from matched pairs with missing data and under an ignorable missing data mechanism. In particular, we develop a Bayesian p-value similar to the p-value from McNemar's test, which, unlike McNemar's test, incorporates the missing data into the analysis. We use a simulation study to explore the power and Type I error rate of our proposed test statistic.
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