Bayesian analysis of contingency tables
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2005
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Marcel Dekker Inc
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Gómez Villegas, M. A. & González Pérez, B. «Bayesian Analysis of Contingency Tables». Communications in Statistics - Theory and Methods, vol. 34, n.o 8, agosto de 2005, pp. 1743-54. DOI.org (Crossref), https://doi.org/10.1081/STA-200066364.
Abstract
The display of the data by means of contingency tables is used in different approaches to statistical inference, for example, to broach the test of homogeneity of independent multinomial distributions. We develop a Bayesian procedure to test simple null hypotheses versus bilateral alternatives in contingency tables. Given independent samples of two binomial distributions and taking a mixed prior distribution, we calculate the posterior probability that the proportion of successes in the first population is the same as in the second. This posterior probability is compared with the p-value of the classical method, obtaining a reconciliation between both results, classical and Bayesian. The obtained results are generalized
for r × s tables.