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Partitioning Bernoulli Populations with Respect to a Control

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  • Elena M. Buzaianu
  • Pinyuen Chen

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.

Suggested Citation

  • Elena M. Buzaianu & Pinyuen Chen, 2009. "Partitioning Bernoulli Populations with Respect to a Control," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 38(16-17), pages 2769-2783, October.
    • Handle: RePEc:taf:lstaxx:v:38:y:2009:i:16-17:p:2769-2783
    DOI: 10.1080/03610910902936315
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