Using Bayesian "p"-values in a 2 × 2 table of matched pairs with incompletely classified data

Altham proposed Bayesian "p"-values for the analysis of a 2×2 contingency table that is formed from matched pairs. Using the same Bayesian perspective, we develop an extension of Altham's Bayesian "p"-values to a 2×2 table from matched pairs with missing data that are missing at random. The approach is applied to a rater agreement study, in which two surgeon-reviewers rated whether or not there was a communication breakdown in malpractice cases. We also use a simulation study to explore the power and type I error rate of the Bayesian "p"-values. Copyright (c) 2009 Royal Statistical Society.