Universidad Complutense de Madrid
E-Prints Complutense

A condition to obtain the same decision in the homogeneity testing problem from the frequentist and Bayesian point of view

Impacto

Downloads

Downloads per month over past year



Gómez Villegas, Miguel A. 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

[img]
Preview
PDF
157kB

Official URL: http://www.informaworld.com/smpp/title~db=all~content=t713597238



Abstract

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.


Item Type:Article
Uncontrolled Keywords:Contingency tables, p-values, Posterior probabilities, Reconciliation
Subjects:Sciences > Mathematics > Mathematical statistics
ID Code:11146
Deposited On:10 Sep 2010 08:36
Last Modified:04 Mar 2016 14:56

Origin of downloads

Repository Staff Only: item control page