Open Access
VOL. 10 | 2013 On an Approach to Bayesian Sample Sizing in Clinical Trials
Robb J. Muirhead, Adina I. Şoaita

Editor(s) Galin Jones, Xiaotong Shen

Inst. Math. Stat. (IMS) Collect., 2013: 126-137 (2013) DOI: 10.1214/12-IMSCOLL1007


This paper explores an approach to Bayesian sample size determination in clinical trials. The approach falls into the category of what is often called “proper Bayesian”, in that it does not mix frequentist concepts with Bayesian ones. A criterion for a “successful trial” is defined in terms of a posterior probability, its probability is assessed using the marginal distribution of the data, and this probability forms the basis for choosing sample sizes. We illustrate with a standard problem in clinical trials, that of establishing superiority of a new drug over a control.


Published: 1 January 2013
First available in Project Euclid: 23 September 2013

zbMATH: 1327.62155
MathSciNet: MR3586942

Digital Object Identifier: 10.1214/12-IMSCOLL1007

Primary: 62F15 , 62K99
Secondary: 62P10

Keywords: Bayesian design and analysis , Clinical trials , probability of a successful trial , sample size determination

Rights: Copyright © 2013, Institute of Mathematical Statistics

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