Gómez Villegas, Miguel ÁngelGonzález Pérez, Beatriz2023-06-202023-06-202008-05Gómez Villegas, M. A. & gonzález Pérez, B. «ε-Contaminated Priors in Contingency Tables». TEST, vol. 17, n.o 1, mayo de 2008, pp. 163-78. DOI.org (Crossref), https://doi.org/10.1007/s11749-006-0028-4.1133-068610.1007/s11749-006-0028-4https://hdl.handle.net/20.500.14352/49411An r x s table is used for different approaches to statistical inference. We develop a Bayesian procedure to test simple null hypotheses versus bilateral alternatives in contingency tables. We consider testing equality of proportions of independent multinomial distributions when the common proportions are known. A lower bound of the posterior probabilities of the null hypothesis is calculated with respect to a mixture of a point prior on the null and an epsilon-contaminated prior on the proportions under the alternative. The resulting Bayes tests are compared numerically to Pearson's chi(2) in a number of examples. For the examined examples the lower bound and the p-value can be made close. The obtained results are generalized when the common proportions vector under the null is unknown or has a known functional form.engjournal articlehttps//doi.org/10.1007/s11749-006-0028-4http://www.springerlink.com/content/120411/open access519.22Contingency tablesEpsilon-contaminated priorsTest statisticCritical regionP-valuesPosterior probabilitiesReconciliationEstadística matemática (Matemáticas)1209 Estadística