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Multiple Comparison for the One-Way ANOVA with the Power PriorMultiple Comparison for the One-Way ANOVA with the Power Prior

Other Titles
Multiple Comparison for the One-Way ANOVA with the Power Prior
Authors
배레나강윤희홍민영김성욱
Issue Date
2008
Publisher
한국통계학회
Keywords
Bayes factor; historical data; Markov Chain Monte Carlo; order restrictedinference; power prior.
Citation
Communications for Statistical Applications and Methods, v.15, no.1, pp.13 - 26
Indexed
KCI
Journal Title
Communications for Statistical Applications and Methods
Volume
15
Number
1
Start Page
13
End Page
26
URI
https://scholarworks.bwise.kr/erica/handle/2021.sw.erica/43025
DOI
10.5351/CKSS.2008.15.1.013
ISSN
2287-7843
Abstract
Inference on the present data will be more reliable when the data arisingfrom previous similar studies are available. The data arising from previousstudies are referred as historical data. The power prior is dened by thelikelihood function based on the historical data to the powera0, where 0a0 1. The power prior is a useful informative prior for Bayesian inferencesuch as model selection and model comparison. We utilize the historicaldata to perform multiple comparison in the one-way ANOVA model. Wedemonstrate our results with some simulated datasets under a simple orderrestriction between the treatments.
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