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IPM
30
YEARS OLD

“School of Biological”

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Paper   IPM / Biological / 13187
School of Biological Sciences
  Title:   Bayesian Sample Size Calculation For Estimation Of The Difference Between Two Binomial Proportions
  Author(s): 
1 . H. Pezeshk.
2 . N. Nematollahi.
3 . V. Maroufy.
4 . P. Marriott.
5 . J. Gittins.
  Status:   Published
  Journal: Statistical Methods in Medical Research
  No.:  6
  Vol.:  22
  Year:  2013
  Pages:   598-611
  Supported by:  IPM
  Abstract:
In this study, we discuss a decision theoretic or fully Bayesian approach to the sample size question in clinical trials with binary responses. Data are assumed to come from two binomial distributions. A Dirichlet distribution is assumed to describe prior knowledge of the two success probabilities p 1 and p 2. The parameter of interest is p�??=�??p 1�??�??�??p 2. The optimal size of the trial is obtained by maximising the expected net benefit function. The methodology presented in this article extends previous work by the assumption of dependent prior distributions for p 1 and p 2.

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