Bayesian designs with frequentist and Bayesian error rate considerations

Wang, Y-G., Leung, D. H. Y., Li, M., & Tan, S. B. (2005) Bayesian designs with frequentist and Bayesian error rate considerations. Statistical Methods in Medical Research, 14(5), pp. 445-456.

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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 Bavesian 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.

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15 citations in Scopus
16 citations in Web of Science®
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ID Code: 90497
Item Type: Journal Article
Refereed: Yes
Additional Information: ISI Document Delivery No.: 973XH
Times Cited: 12
Cited Reference Count: 12
Wang, YG Leung, DHY Li, M Tan, SB
Sage publications ltd
Keywords: ii clinical-trials, 2-stage designs, size
DOI: 10.1191/0962280205sm410oa
ISSN: 0962-2802
Copyright Owner: Copyright 2005 Edward Arnold (Publishers) Ltd
Deposited On: 18 Nov 2015 02:51
Last Modified: 18 Nov 2015 02:51

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