Optimal Allocation for Bayesian Inference About an Odds Ratio

Abstract

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Optimal Designs for Two-Arm, Phase II Clinical Trial Design with Multiple Constraints

“…Fazal (1983) appended to this discussion of optimization with respect to the odds ratio and the natural log of the odds ratio. Brooks (1987) utilized a Bayesian approach to account for prior uncertainty in determining the optimal allocation for an odds ratio. Power and sample size formulas have been reviewed and presented in Sahai and Khurshid (1996).…”

Bayesian inference for categorical data analysis

“…See also Walley (1996) for discussion of a related "imprecise Dirichlet model" for multinomial data. Brooks (1987) used a Bayesian approach for the design problem of choosing the ratio of sample sizes for comparing two binomial proportions. Matthews (1999) also considered design issues in the context of two-sample comparisons.…”

Hierarchical Bayesian Selection Procedures for the Best Binomial Population

“…strained by the fact that the total is fixed, has received some attention in the literature. Brooks (1987) deals with a Bayesian approach for k = 2, while Brittain and Schlesselman (1982) discuss this case from a frequentist viewpoint when trying to estimate p, -P2 or p1/p2. These pfoblems will not be discussed but some conclusions about allocation can be drawn from the work presented here and these will be discussed in Section 5.…”