Premium
Bayesian Inference for a Correlated 2 × 2 Table with a Structural Zero
Author(s) -
Stamey James D.,
Seaman John W.,
Young Dean M.
Publication year - 2006
Publication title -
biometrical journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.108
H-Index - 63
eISSN - 1521-4036
pISSN - 0323-3847
DOI - 10.1002/bimj.200510207
Subject(s) - markov chain monte carlo , mathematics , bayesian probability , statistics , inference , confidence interval , bayesian inference , credible interval , sample size determination , table (database) , markov chain , interval estimation , monte carlo method , algorithm , computer science , artificial intelligence , data mining
We develop a new Bayesian approach to interval estimation for both the risk difference and the risk ratio for a 2 × 2 table with a structural zero using Markov chain Monte Carlo (MCMC) methods. We also derive a normal approximation for the risk difference and a gamma approximation for the risk ratio. We then compare the coverage and interval width of our new intervals to the score‐based intervals over various parameter and sample‐size configurations. Finally, we consider a Bayesian method for sample‐size determination. (© 2006 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)