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

Demirhan H., Hamurkaroglu C.

STATISTICA NEERLANDICA, cilt.62, sa.4, ss.405-424, 2008 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 62 Sayı: 4
  • Basım Tarihi: 2008
  • Doi Numarası: 10.1111/j.1467-9574.2008.00387.x
  • Dergi Adı: STATISTICA NEERLANDICA
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.405-424
  • Hacettepe Üniversitesi Adresli: Evet

Özet

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.