Gómez Villegas, Miguel ÁngelGonzález Pérez, Beatriz2023-06-202023-06-202006-12-12Gómez Villegas, M. A. & González Pérez, B. «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, vol. 35, n.o 12, diciembre de 2006, pp. 2211-22. DOI.org (Crossref), https://doi.org/10.1080/03610920600853233.1532-415X10.1080/03610920600853233https://hdl.handle.net/20.500.14352/49406We 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.engjournal articlehttps//doi.org/10.1080/03610920600853233http://www.informaworld.com/smpp/title~db=all~content=t713597238open access519.22Contingency tablesp-valuesPosterior probabilitiesReconciliationEstadística matemática (Matemáticas)1209 Estadística