Bayesian designs with frequentist and Bayesian error rate considerations

Wang, You-Gan, Leung, Denis Heng-Yan, Li, Ming and Tan, Say-Beng (2005) Bayesian designs with frequentist and Bayesian error rate considerations. Statistical Methods In Medical Research, 14 5: 445-456.


Author Wang, You-Gan
Leung, Denis Heng-Yan
Li, Ming
Tan, Say-Beng
Title Bayesian designs with frequentist and Bayesian error rate considerations
Journal name Statistical Methods In Medical Research   Check publisher's open access policy
ISSN 0962-2802
1477-0334
Publication date 2005-10
Sub-type Critical review of research, literature review, critical commentary
DOI 10.1191/0962280205sm410oa
Volume 14
Issue 5
Start page 445
End page 456
Total pages 12
Place of publication London, U.K.
Publisher Sage Publications
Language eng
Abstract So far, most Phase II trials have been designed and analysed under a frequentist framework. Under this framework, a trial is designed so that the overall Type I and Type II errors of the trial are controlled at some desired levels. Recently, a number of articles have advocated the use of Bayesian designs in practice. Under a Bayesian framework, a trial is designed so that the trial stops when the posterior probability of treatment is within certain prespecified thresholds. In this article, we argue that trials under a Bayesian framework can also be designed to control frequentist error rates. We introduce a Bayesian version of Simon’s well-known two-stage design to achieve this goal. We also consider two other errors, which are called Bayesian errors in this article because of their similarities to posterior probabilities. We show that our method can also control these Bayesian-type errors. We compare our method with other recent Bayesian designs in a numerical study and discuss implications of different designs on error rates. An example of a clinical trial for patients with nasopharyngeal carcinoma is used to illustrate differences of the different designs.
Keyword II Clinical-trials
2-Stage designs
Size
Q-Index Code C1
Q-Index Status Provisional Code
Institutional Status Non-UQ

Document type: Journal Article
Sub-type: Critical review of research, literature review, critical commentary
Collections: School of Mathematics and Physics
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Created: Wed, 17 Nov 2010, 14:05:44 EST