Optimal Designs for a Grouped Sequential Binomial Trial

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Abstract
Several designs have been proposed for testing a one-sample study in a grouped sequential fashion, all of which create an approximately optimal design. We give a geometric characterization of the actual optimal (or admissible) designs for the special case of a Bernoulli outcome, and from this derive an enumeration algorithm which may be used to explicitly construct all of the admissible designs for a user-specified range of size and power. A computer implementation of the method is fast and efficient.

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