Title |
Default “Gunel and Dickey” Bayes factors for contingency tables
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Published in |
Behavior Research Methods, June 2016
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DOI | 10.3758/s13428-016-0739-8 |
Pubmed ID | |
Authors |
Tahira Jamil, Alexander Ly, Richard D. Morey, Jonathon Love, Maarten Marsman, Eric-Jan Wagenmakers |
Abstract |
The analysis of R×C contingency tables usually features a test for independence between row and column counts. Throughout the social sciences, the adequacy of the independence hypothesis is generally evaluated by the outcome of a classical p-value null-hypothesis significance test. Unfortunately, however, the classical p-value comes with a number of well-documented drawbacks. Here we outline an alternative, Bayes factor method to quantify the evidence for and against the hypothesis of independence in R×C contingency tables. First we describe different sampling models for contingency tables and provide the corresponding default Bayes factors as originally developed by Gunel and Dickey (Biometrika, 61(3):545-557 (1974)). We then illustrate the properties and advantages of a Bayes factor analysis of contingency tables through simulations and practical examples. Computer code is available online and has been incorporated in the "BayesFactor" R package and the JASP program ( jasp-stats.org ). |
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