Bayesian inference for a correlated 2 x 2 table with a structural zero

James D Stamey; John W Seaman; Dean M Young

doi:10.1002/bimj.200510207

Bayesian inference for a correlated 2 x 2 table with a structural zero

Biom J. 2006 Apr;48(2):233-44. doi: 10.1002/bimj.200510207.

Authors

James D Stamey¹, John W Seaman, Dean M Young

Affiliation

¹ Department of Statistical Science, Baylor University, Waco TX 76798-7140, USA. james_stamey@baylor.edu

PMID: 16708775
DOI: 10.1002/bimj.200510207

Abstract

We develop a new Bayesian approach to interval estimation for both the risk difference and the risk ratio for a 2 x 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.

MeSH terms

Algorithms*
Bayes Theorem*
Computer Simulation
Data Interpretation, Statistical*
Epidemiologic Measurements*
Models, Biological*
Models, Statistical*
Stochastic Processes