### Impacto

### Downloads

Downloads per month over past year

Gómez Villegas, Miguel A. and González Pérez, Beatriz
(2006)
*A condition to obtain the same decision in the homogeneity testing problem from the frequentist and Bayesian point of view.*
Communications in statistics. Theory and methods, 35
(12).
pp. 2211-2222.
ISSN 1532-415X

Preview |
PDF
157kB |

Official URL: http://www.informaworld.com/smpp/title~db=all~content=t713597238

## Abstract

We develop a Bayesian procedure for the homogeneity testing problem of r populations using r×s contingency tables. The posterior probability of the homogeneity null hypothesis

is calculated using a mixed prior distribution. The methodology consist of choosing an appropriate value of π0 for the mass assigned to the null and spreading the remainder, 1 − π0, over the alternative according to a density function. With this method, a theorem which shows when the same conclusion is reached from both frequentist and bayesian points of view is obtained. A sufficient condition under which the p-value is less than a value α and

the posterior probability is also less than 0.5 is provided.

Item Type: | Article |
---|---|

Uncontrolled Keywords: | Contingency tables, p-values, Posterior probabilities, Reconciliation |

Subjects: | Sciences > Mathematics > Mathematical statistics |

ID Code: | 11146 |

Deposited On: | 10 Sep 2010 08:36 |

Last Modified: | 04 Mar 2016 14:56 |

### Origin of downloads

Repository Staff Only: item control page