Gómez Villegas, Miguel Ángel and González Pérez, Beatriz (2008) epsilonContaminated priors in contingency tables. Test , 17 (1). pp. 163178. ISSN 11330686

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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 epsiloncontaminated 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 pvalue 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 

Uncontrolled Keywords:  Contingency tables; Epsiloncontaminated priors; Test statistic; Critical region; Pvalues; Posterior probabilities; Reconciliation 
Subjects:  Sciences > Mathematics > Mathematical statistics 
ID Code:  11168 
Deposited On:  16 Sep 2010 08:42 
Last Modified:  06 Feb 2014 08:58 
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