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Using Bayesian p ‐values in a 2 × 2 table of matched pairs with incompletely classified data
Author(s) -
Lin Yan,
Lipsitz Stuart,
Sinha Debajyoti,
Gawande Atul A.,
Regenbogen Scott E.,
Greenberg Caprice C.
Publication year - 2009
Publication title -
journal of the royal statistical society: series c (applied statistics)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.205
H-Index - 72
eISSN - 1467-9876
pISSN - 0035-9254
DOI - 10.1111/j.1467-9876.2008.00645.x
Subject(s) - contingency table , bayesian probability , statistics , missing data , type i and type ii errors , table (database) , bayesian statistics , mathematics , bayesian inference , computer science , data mining
Summary. 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.