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Paper   IPM / Biological Sciences / 14206
School of Biological Sciences
  Title:   A Mixed Bayesian/Frequentist Approach to Sample Size Determination Problem for Clinical Trials
1.  M. Bideli.
2.  J. Gittins.
3.  hamid Pezeshk
  Status:   Published
  Journal: Progress in Biological Sciences
  No.:  1
  Vol.:  6
  Year:  2016
  Pages:   1-9
  Supported by:  IPM
In this paper we introduce a stochastic optimization method based on a mixed Bayesian/frequentist approach to a sample size determination problem in a clinical trial. The data are assumed to come from a nor- mal distribution for which both the mean and the variance are unknown. In contrast to the usual Bayesian decision theoretic methodology, which assumes a single decision maker, our method recognizes the existence of three decision makers, namely: the company conducting the trial, which decides on its size; the regulator, whose approval is necessary for the drug to be licensed for sale; and the public at large, who determine ultimate usage. Moreover, we model the subsequent usage by plausible assumptions for actual behaviour. A Markov Chain Monte Carlo is applied to _nd the maximum expected utility of conducting the trial.

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