Bayesian estimation of log odds ratios from R x C and 2 x 2 x K contingency tables

Demirhan H., Hamurkaroglu C.

STATISTICA NEERLANDICA, vol.62, no.4, pp.405-424, 2008 (SCI-Expanded, Scopus) identifier identifier

  • Publication Type: Article / Article
  • Volume: 62 Issue: 4
  • Publication Date: 2008
  • Doi Number: 10.1111/j.1467-9574.2008.00387.x
  • Journal Name: STATISTICA NEERLANDICA
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.405-424
  • Hacettepe University Affiliated: Yes

Abstract

In this paper, Bayesian estimation of log odds ratios over R x C and 2 x 2 x K contingency tables is considered, which is practically reasonable in the presence of prior information. Likelihood functions for log odds ratios are derived for each table structure. A prior specification strategy is proposed. Posterior inferences are drawn using Gibbs sampling and Metropolis-Hastings algorithm. Two numerical examples are given to illustrate the matters argued.