Access

You are not currently logged in.

Access your personal account or get JSTOR access through your library or other institution:

login

Log in to your personal account or through your institution.

If you need an accessible version of this item please contact JSTOR User Support

Bayes Factors for Independence in Contingency Tables

Erdogan Gunel and James Dickey
Biometrika
Vol. 61, No. 3 (Dec., 1974), pp. 545-557
Published by: Oxford University Press on behalf of Biometrika Trust
DOI: 10.2307/2334738
Stable URL: http://www.jstor.org/stable/2334738
Page Count: 13
  • Read Online (Free)
  • Subscribe ($19.50)
  • Cite this Item
If you need an accessible version of this item please contact JSTOR User Support
Bayes Factors for Independence in Contingency Tables
Preview not available

Abstract

The null hypothesis of row-column independence in a two-way contingency table can be expressed as a constraint on the parameters in various standard statistical sampling models. Four sampling models are considered, which are related by nested conditioning. By having the prior distribution in any one model induce the prior distribution in each further conditioned model, it is shown that the Bayes factors for independence will factorize, and there-by expose the evidence residing in the marginal row and column of the table. Bounds on the marginal Bayes factors justify, in a weak sense, Fisher's practice of conditioning. A general theorem is given for factorized Bayes factors from a factorized likelihood function.

Page Thumbnails

  • Thumbnail: Page 
545
    545
  • Thumbnail: Page 
546
    546
  • Thumbnail: Page 
547
    547
  • Thumbnail: Page 
548
    548
  • Thumbnail: Page 
549
    549
  • Thumbnail: Page 
550
    550
  • Thumbnail: Page 
551
    551
  • Thumbnail: Page 
552
    552
  • Thumbnail: Page 
553
    553
  • Thumbnail: Page 
554
    554
  • Thumbnail: Page 
555
    555
  • Thumbnail: Page 
556
    556
  • Thumbnail: Page 
557
    557