Publication: R X S Tables From A Bayesian Viewpoint
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2010
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Universidad Complutense de Madrid
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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.
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