Gomez-Villegas, Miguel Angel and Gonzalez-Perez, B.
(2011)
*A Bayesian Analysis For The Homogeneity Testing Problem Using Epsilon-Contaminated Priors.*
Communications in statistics. Theory and methods, 40
(6).
pp. 1049-1062.
ISSN 0361-0926

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Official URL: http://www.tandfonline.com/doi/pdf/10.1080/03610920903520547

## Abstract

In this article the problem of testing if r populations have the same distribution from a Bayesian perspective is studied using r × s contingency tables and ϵ–contaminated priors. A procedure to build a mixed prior distribution is introduced and a justification for this construction based on a measure of discrepancy is given. A lower bound for the posterior probabilities of the homogeneity null hypothesis, when the prior is in the class of ϵ–contaminated distributions, is calculated and compared numerically with the usual p-value. Examples show that the discrepancy between both is more acute when the mass assigned to the null in the mixed prior distribution is 0.5

Item Type: | Article |
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Uncontrolled Keywords: | Epsilon-Contaminated Priors; Contingency Tables; Homogeneity Testing Problem; P-Values; Posterior Probabilities;Point Null Hypothesis; P-Values; Frequentist Evidence; Contingency-Tables; Posterior Measures; Distributions;Statistics & Probability |

Subjects: | Sciences > Mathematics > Mathematical statistics |

ID Code: | 16042 |

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Deposited On: | 24 Jul 2012 10:00 |

Last Modified: | 06 Feb 2014 10:37 |

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