title: Bayesian inference for a correlated 2 x 2 table with a structural zero.
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.
authors.affiliation: Department of Statistical Science, Baylor University, Waco TX 76798-7140, USA. james_stamey@baylor.edu
authors.forename: James D
authors.initials: JD
authors.lastname: Stamey
authors.forename: John W
authors.initials: JW
authors.lastname: Seaman
authors.forename: Dean M
authors.initials: DM
authors.lastname: Young
mesh_terms: D000465:Algorithms; D001499:Bayes Theorem; D003198:Computer Simulation; D003627:Data Interpretation, Statistical; D015991:Epidemiologic Measurements; D008954:Models, Biological; D015233:Models, Statistical; D013269:Stochastic Processes