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Gómez Villegas, Miguel A. and González Pérez, Beatriz
(2010)
*R X S Tables From A Bayesian Viewpoint.*
Revista matemática complutense, 23
(1).
pp. 19-35.
ISSN 1988-2807

PDF
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Official URL: http://www.springerlink.com/content/k0u877h62tqx0575/fulltext.pdf

## 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 |
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Uncontrolled Keywords: | Contingency tables · p-values · Posterior probabilities · Reconciliation |

Subjects: | Sciences > Mathematics > Mathematical statistics |

ID Code: | 15667 |

Deposited On: | 19 Jun 2012 09:52 |

Last Modified: | 25 Jun 2018 08:30 |

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