Gómez Villegas, Miguel Ángel and González Pérez, Beatriz (2006) A condition to obtain the same decision in the homogeneity testing problem from the frequentist and Bayesian point of view. Communications in statistics. Theory and methods, 35 (12). pp. 2211-2222. ISSN 1532-415X
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 consist of choosing an appropriate value of π0 for the mass assigned to the null and spreading the remainder, 1 − π0, over the alternative according to a density function. With this method, a theorem which shows when the same conclusion is reached from both frequentist and bayesian points of view is obtained. A sufficient condition under which the p-value is less than a value α and the posterior probability is also less than 0.5 is provided.
|Uncontrolled Keywords:||Contingency tables, p-values, Posterior probabilities, Reconciliation|
|Subjects:||Sciences > Mathematics > Mathematical statistics|
|Deposited On:||10 Sep 2010 10:36|
|Last Modified:||15 Jan 2013 16:08|
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