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On an Approach to Bayesian Sample Sizing in Clinical Trials

Robb J. Muirhead and Adina I. Şoaita

Full-text: Open access

Abstract

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.

Chapter information

Source
Galin Jones and Xiaotong Shen, eds., Advances in Modern Statistical Theory and Applications: A Festschrift in honor of Morris L. Eaton, (Beachwood, Ohio, USA: Institute of Mathematical Statistics, 2013) , 126-137

Dates
First available in Project Euclid: 23 September 2013

Permanent link to this document
https://projecteuclid.org/euclid.imsc/1379942051

Digital Object Identifier
doi:10.1214/12-IMSCOLL1007

Mathematical Reviews number (MathSciNet)
MR3586942

Zentralblatt MATH identifier
1327.62155

Subjects
Primary: 62F15: Bayesian inference 62K99: None of the above, but in this section
Secondary: 62P10: Applications to biology and medical sciences

Keywords
Bayesian design and analysis clinical trials probability of a successful trial sample size determination

Rights
Copyright © 2013, Institute of Mathematical Statistics

Citation

Muirhead, Robb J.; Şoaita, Adina I. On an Approach to Bayesian Sample Sizing in Clinical Trials. Advances in Modern Statistical Theory and Applications: A Festschrift in honor of Morris L. Eaton, 126--137, Institute of Mathematical Statistics, Beachwood, Ohio, USA, 2013. doi:10.1214/12-IMSCOLL1007. https://projecteuclid.org/euclid.imsc/1379942051


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