Optimal Sample Size for Two Binomials

Chenchang Li, Peter Mueller, Giovanni Parmigiani
Duke University

Nov 30 1992

In an experiment aims at comparing two success probabilities [b]θ[/b]1 and [b]θ[/b]2 in two binomial distributions, to choose the optimal sample size is a primary consideration in our design. In this paper, we derive the procedure of choosing the optimal sample size in three different type of utility functions - quadratic loss, hypothesis test power and experiment information introduced by Lindley (2956). Independent prior distributions for the [b]θ[/b]1 and [b]θ[/b]2 is assumed int his paper.


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