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Partitioning Bernoulli Populations with Respect to a Control

Elena M. Buzaianu and Pinyuen Chen

Communications in Statistics - Theory and Methods, 2009, vol. 38, issue 16-17, 2769-2783

Abstract: This article is concerned with the problem of partitioning a set of Bernoulli populations with respect to a control Bernoulli population, into two subsets according to their probabilities of success in a single trial. Two procedures are proposed. The first one is a single-stage procedure, based on Tong's single-stage procedure (1969) for partitioning normal populations. The second procedure is a two-stage procedure with elimination, based on Solanky's two-stage procedure (2006) for normal populations. The derivation of the probability of a correct decision and the least favorable configurations are exact, without making use of the normal approximation to the binomial.

Date: 2009
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DOI: 10.1080/03610910902936315

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