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Exact Bayesian p-values for a test of independence in a 2 × 2 contingency table with missing data.

Title: Exact Bayesian p-values for a test of independence in a 2 × 2 contingency table with missing data.
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Name(s): Lin, Yan, author
Lipsitz, Stuart R, author
Sinha, Debajyoti, author
Fitzmaurice, Garrett, author
Lipshultz, Steven, author
Type of Resource: text
Genre: Journal Article
Text
Date Issued: 2018-11-01
Physical Form: computer
online resource
Extent: 1 online resource
Language(s): English
Abstract/Description: Altham (Altham PME. Exact Bayesian analysis of a 2 × 2 contingency table, and Fisher's "exact" significance test. J R Stat Soc B 1969; 31: 261-269) showed that a one-sided p-value from Fisher's exact test of independence in a 2 × 2 contingency table is equal to the posterior probability of negative association in the 2 × 2 contingency table under a Bayesian analysis using an improper prior. We derive an extension of Fisher's exact test p-value in the presence of missing data, assuming the missing data mechanism is ignorable (i.e., missing at random or completely at random). Further, we propose Bayesian p-values for a test of independence in a 2 × 2 contingency table with missing data using alternative priors; we also present results from a simulation study exploring the Type I error rate and power of the proposed exact test p-values. An example, using data on the association between blood pressure and a cardiac enzyme, is presented to illustrate the methods.
Identifier: FSU_pmch_28633606 (IID), 10.1177/0962280217702538 (DOI), PMC5799034 (PMCID), 28633606 (RID), 28633606 (EID)
Keywords: Dirichlet prior, Fisher’s exact test, Missing at random, Missing completely at random, Quasi-Monte Carlo integration
Grant Number: R01 CA160679, R01 MH054693
Publication Note: This NIH-funded author manuscript originally appeared in PubMed Central at https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5799034.
Persistent Link to This Record: http://purl.flvc.org/fsu/fd/FSU_pmch_28633606
Owner Institution: FSU
Is Part Of: Statistical methods in medical research.
1477-0334
Issue: iss. 11, vol. 27

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Lin, Y., Lipsitz, S. R., Sinha, D., Fitzmaurice, G., & Lipshultz, S. (2018). Exact Bayesian p-values for a test of independence in a 2 × 2 contingency table with missing data. Statistical Methods In Medical Research. Retrieved from http://purl.flvc.org/fsu/fd/FSU_pmch_28633606