Ecological-type inference in matched-pair studies with fixed marginal totals

This paper applies a Bayesian approach to ecological‐type inference in matched‐pair studies because traditional methods that assume parallel tables are not directly applicable. The proposed procedure is based on a hierarchical Bayes structure which models information about the within‐pair associatio...

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Bibliographic Details
Published in:Statistics in medicine 2011-02, Vol.30 (5), p.541-548
Main Authors: Barker, Laurie K., Griffin, Susan O., Jeon, Seonghye, Gray, Shellie Kolavic, Vidakovic, Brani
Format: Article
Language:English
Subjects:
Algorithms
Bayes Theorem
Bayesian analysis
Bayesian inference
Computer Simulation
Cross-Over Studies
Dental care
Dental Caries - prevention & control
dental sealants meta-analysis
ecological inference
Ecology
hierarchical model
Humans
Hypoglycemia - drug therapy
Hypoglycemic Agents - therapeutic use
Insulin - analogs & derivatives
Insulin - therapeutic use
Insulin Lispro
Markov analysis
Markov chain Monte Carlo
Markov Chains
matched-pair study
Meta-Analysis as Topic
Models, Statistical
Monte Carlo Method
Monte Carlo simulation
Pit and Fissure Sealants - therapeutic use
Probability
Randomized Controlled Trials as Topic - statistics & numerical data
Statistical Distributions
Statistical inference
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Summary:This paper applies a Bayesian approach to ecological‐type inference in matched‐pair studies because traditional methods that assume parallel tables are not directly applicable. The proposed procedure is based on a hierarchical Bayes structure which models information about the within‐pair association. The proposed algorithm relies on Markov chain Monte Carlo simulation, recovers the full table, and reports its accuracy in terms of credible sets for the cell counts. This methodology is motivated and illustrated with examples from split‐mouth designs assessing the effectiveness of dental sealant materials and cross‐over trials comparing two forms of insulin. Published in 2011 by John Wiley & Sons, Ltd.
ISSN:0277-6715
1097-0258
DOI:10.1002/sim.3919