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Gómez Villegas, Miguel A. and González Pérez, Beatriz (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 |
|---|---|
| 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 |
| Deposited On: | 24 Jul 2012 10:00 |
| Last Modified: | 25 Jun 2018 08:29 |
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