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R X S Tables From A Bayesian Viewpoint

Gomez-Villegas, Miguel Angel and Gonzalez-Perez, B. (2010) R X S Tables From A Bayesian Viewpoint. Revista matemática complutense, 23 (1). pp. 19-35. ISSN 1988-2807

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Abstract

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.


Item Type:Article
Uncontrolled Keywords:Contingency tables · p-values · Posterior probabilities · Reconciliation
Subjects:Sciences > Mathematics > Mathematical statistics
ID Code:15667
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