title: Bayesian sample size calculation for estimation of the difference between two binomial proportions.
abstract: In this study, we discuss a decision theoretic or fully Bayesian approach to the sample size question in clinical trials with binary responses. Data are assumed to come from two binomial distributions. A Dirichlet distribution is assumed to describe prior knowledge of the two success probabilities p1 and p2. The parameter of interest is p = p1 - p2. The optimal size of the trial is obtained by maximising the expected net benefit function. The methodology presented in this article extends previous work by the assumption of dependent prior distributions for p1 and p2.
authors: 1School of Mathematics, Statistics and Computer Science and Center of Excellence in Biomathematics, University of Tehran, Tehran, Iran.
authors: Hamid
authors: H
authors: Pezeshk
authors: Nader
authors: N
authors: Nematollahi
authors: Vahed
authors: V
authors: Maroufy
authors: Paul
authors: P
authors: Marriott
authors: John
authors: J
authors: Gittins
mesh_terms: D001499:Bayes Theorem; D002986:Clinical Trials as Topic; D008962:Models, Theoretical; D018401:Sample Size