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Gómez Villegas, Miguel A. and González Pérez, Beatriz
(2008)
*epsilon-Contaminated priors in contingency tables.*
Test , 17
(1).
pp. 163-178.
ISSN 1133-0686

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Official URL: http://www.springerlink.com/content/120411/

## Abstract

An 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.

Item Type: | Article |
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Uncontrolled Keywords: | Contingency tables; Epsilon-contaminated priors; Test statistic; Critical region; P-values; Posterior probabilities; Reconciliation |

Subjects: | Sciences > Mathematics > Mathematical statistics |

ID Code: | 11168 |

Deposited On: | 16 Sep 2010 08:42 |

Last Modified: | 04 Mar 2016 15:44 |

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