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oai:docta.ucm.es:20.500.14352/422092024-07-15T12:45:14Zcom_20.500.14352_14col_20.500.14352_15

R X S Tables From A Bayesian Viewpoint Gómez Villegas, Miguel Ángel González Pérez, Beatriz The display of the data by means of contingency tables is used for discussing different approaches to statistical inference. We 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 consists of assigning an appropriate prior mass, π0, to the null and spreading the remainder, 1 − π0, over the alternative according to a density function. With this method, it is possible to prove a theorem which shows when the p-value and the posterior probability can give rise to the same conclusion. 2023-06-20T00:12:53Z 2023-06-20T00:12:53Z 2010 journal article Gómez Villegas, M. A. & González Pérez, B. «R×s Tables from a Bayesian Viewpoint». Revista Matemática Complutense, vol. 23, n.o 1, enero de 2010, pp. 19-35. DOI.org (Crossref), https://doi.org/10.1007/s13163-009-0005-z. 1988-2807 10.1007/s13163-009-0005-z https://hdl.handle.net/20.500.14352/42209 https//doi.org/10.1007/s13163-009-0005-z http://www.springerlink.com/content/k0u877h62tqx0575/fulltext.pdf eng restricted access Universidad Complutense de Madrid