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

Bae, Re-Na   (Division of Applied Mathematics, Hanyang UniversityUU0001519  ); Kang, Yun-Hee   (Division of Applied Mathematics, Hanyang UniversityUU0001519  ); Hong, Min-Young   (Division of Applied Mathematics, Hanyang UniversityUU0001519  ); Kim, Seong-W.   (Division of Applied Mathematics, Hanyang UniversityUU0001519  );
  • 초록

    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.


  • 주제어

    Bayes factor .   historical data .   Markov Chain Monte Carlo .   order restricted inference .   power prior.  

  • 참고문헌 (15)

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