Homogeneity Tests for 2 x 2 Contingency Tables

Natalia Oliveira, Marcio Diniz, Adriano Polpo

Research output: Chapter in Book/Conference paperConference paperpeer-review

2 Citations (Scopus)

Abstract

Using the likelihood ratio statistic, we develop a significance index, called P-value, to test the hypothesis of homogeneity in 2 x 2 contingency tables. The P-value does not depend on asymptotic distributions, and is based on the elimination of the nuisance parameter. Therefore, we obtain the exact distribution of the likelihood ratio statistic in a way that is, moreover, compatible with the likelihood principle. For a better understanding of significance indices to test homogeneity, we perform a study comparing the P-value with some indices (likelihood ratio test (LRT), chi-square test) and with the full Bayesian significance test (FBST). This comparative study shows an interesting relation between all the analyzed indices, Bayesian and frequentist.

Original languageEnglish
Title of host publicationINTERDISCIPLINARY BAYESIAN STATISTICS, EBEB 2014
EditorsA Polpo, F Louzada, LLR Rifo, JM Stern, M Lauretto
PublisherSpringer
Pages163-171
Number of pages9
ISBN (Print)978-3-319-12453-7
DOIs
Publication statusPublished - 2015
Externally publishedYes
Event12th Brazilian Meeting on Bayesian Statistics (EBEB) - Hotel Fazenda Hípica Atibaia, Atibaia, Brazil
Duration: 10 Mar 201414 Mar 2014
https://www.ime.usp.br/~isbra/ebeb/ebeb2014/

Publication series

NameSpringer Proceedings in Mathematics & Statistics
PublisherSPRINGER
Volume118
ISSN (Print)2194-1009

Conference

Conference12th Brazilian Meeting on Bayesian Statistics (EBEB)
Country/TerritoryBrazil
CityAtibaia
Period10/03/1414/03/14
Otherhe Brazilian Meeting on Bayesian Statistics (EBEB) is in its twelfth edition. This series of meetings aims at strengthening the research on Bayesian methods and widening their application. It also provides an environment where Brazilian and international researchers collaborate, present their most recent developments and discuss on open problems. EBEB also allows graduate students to make contacts with experienced researchers. This year's meeting has a particular focus on discussing recent developments in the many viewpoints of Bayesian statistics, such as computational, theoretical, methodological and applied views.
Internet address

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