### 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.

Original language | English (US) |
---|---|

Pages (from-to) | 2769-2783 |

Number of pages | 15 |

Journal | Communications in Statistics - Theory and Methods |

Volume | 38 |

Issue number | 16-17 |

DOIs | |

State | Published - Jan 1 2009 |

### Keywords

- Bernoulli population
- Binomial distribution
- Least favorable configuration
- Probability of a correct decision
- Sample size

### ASJC Scopus subject areas

- Statistics and Probability

## Fingerprint Dive into the research topics of 'Partitioning bernoulli populations with respect to a control'. Together they form a unique fingerprint.

## Cite this

*Communications in Statistics - Theory and Methods*,

*38*(16-17), 2769-2783. https://doi.org/10.1080/03610910902936315