TY - JOUR

T1 - Partitioning bernoulli populations with respect to a control

AU - Buzaianu, Elena M.

AU - Chen, Pinyuen

N1 - Funding Information:
The authors wish to thank the Editor and referees for their helpful comments that led to a considerable improvement of this article. This research was supported in part by a research grant that the first author received from the University of North Florida.
Copyright:
Copyright 2009 Elsevier B.V., All rights reserved.

PY - 2009/1

Y1 - 2009/1

N2 - 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.

AB - 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.

KW - Bernoulli population

KW - Binomial distribution

KW - Least favorable configuration

KW - Probability of a correct decision

KW - Sample size

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U2 - 10.1080/03610910902936315

DO - 10.1080/03610910902936315

M3 - Article

AN - SCOPUS:70249097357

SN - 0361-0926

VL - 38

SP - 2769

EP - 2783

JO - Communications in Statistics - Theory and Methods

JF - Communications in Statistics - Theory and Methods

IS - 16-17

ER -