Communications for Statistical Applications and Methods

The Korean Statistical Society (한국통계학회)
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Multiple Comparison for the One-Way ANOVA with the Power Prior

  • Bae, Re-Na (Division of Applied Mathematics, Hanyang University) ;
  • Kang, Yun-Hee (Division of Applied Mathematics, Hanyang University) ;
  • Hong, Min-Young (Division of Applied Mathematics, Hanyang University) ;
  • Kim, Seong-W. (Division of Applied Mathematics, Hanyang University)
  • Published : 2008.01.31
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Abstract

Inference on the present data will be more reliable when the data arising from previous similar studies are available. The data arising from previous studies are referred as historical data. The power prior is defined by the likelihood function based on the historical data to the power $a_0$, where $0\;{\le}\;a_0\;{\le}\;1$. The power prior is a useful informative prior for Bayesian inference such as model selection and model comparison. We utilize the historical data to perform multiple comparison in the one-way ANOVA model. We demonstrate our results with some simulated datasets under a simple order restriction between the treatments.

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