Jamil, Tahira, Ly, Alexander, Morey, Richard D.  ORCID: https://orcid.org/0000-0001-9220-3179, Love, Jonathon, Marsman, Maarten and Wagenmakers, Eric-Jan
2017.
Default "Gunel and Dickey" Bayes factors for contingency tables.
Behavior Research Methods
49
(2)
, pp. 638-652.
10.3758/s13428-016-0739-8
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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).
| Item Type: | Article |
|---|---|
| Date Type: | Publication |
| Status: | Published |
| Schools: | Schools > Psychology |
| Subjects: | B Philosophy. Psychology. Religion > BF Psychology |
| Uncontrolled Keywords: | Bayes factors; Contingency table; Sampling models; p-value |
| Publisher: | Springer |
| ISSN: | 1554-3528 |
| Date of First Compliant Deposit: | 21 July 2017 |
| Date of Acceptance: | 13 April 2016 |
| Last Modified: | 02 May 2023 20:20 |
| URI: | https://orca.cardiff.ac.uk/id/eprint/102778 |
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