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J R Stat Soc Ser C Appl Stat. 2009 May 1;58(2):237-246.

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

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University of Texas M. D. Anderson Cancer Center, Houston, USA.


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.

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