Gómez Villegas, Miguel ÁngelGonzález Pérez, Beatriz2023-06-202023-06-202011Gómez Villegas, M. A., & González Pérez, B. «A Bayesian Analysis for the Homogeneity Testing Problem Using ϵ–Contaminated Priors». Communications in Statistics - Theory and Methods, vol. 40, n.o 6, enero de 2011, pp. 1049-62. DOI.org (Crossref), https://doi.org/10.1080/03610920903520547.0361-092610.1080/03610920903520547https://hdl.handle.net/20.500.14352/42267Previous version of the article. This research has been sponsored by Ministerio de Educacion y Ciencia (Spain) and Comunidad de Madrid and Universidad Complutense de Madrid (Spain).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 0.5engjournal articlehttps//doi.org/10.1080/03610920903520547http://www.tandfonline.com/doi/pdf/10.1080/03610920903520547restricted access519.22Epsilon-Contaminated PriorsContingency TablesHomogeneity Testing ProblemP-ValuesPosterior ProbabilitiesPoint Null HypothesisFrequentist EvidenceContingency-TablesPosterior MeasuresDistributionsStatistics & ProbabilityEstadística matemática (Matemáticas)1209 Estadística