RT Journal Article
T1 A Bayesian Analysis For The Homogeneity Testing Problem Using Epsilon-Contaminated Priors
A1 Gómez Villegas, Miguel Ángel
A1 González Pérez, Beatriz
AB 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
PB Taylor & Francis
SN 0361-0926
YR 2011
FD 2011
LK https://hdl.handle.net/20.500.14352/42267
UL https://hdl.handle.net/20.500.14352/42267
LA eng
NO Gómez 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.
NO Previous 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).
NO Ministerio de Educación, Formación Profesional y Deportes (España)
NO Comunidad de Madrid
NO Universidad Complutense de Madrid
DS Docta Complutense
RD 6 abr 2025