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A Bayesian Approach to Successive Comparisons
並列摘要
The present article discusses and compares multiple testing procedures (MTPs) for controlling the family wise error rate. Machekano and Hubbard (2006) have proposed empirical Bayes approach that is a resampling based multiple testing procedure asymptotically controlling the familywise error rate. In this paper we provide some additional work on their procedure, and we develop resampling based step-down procedure asymptotically controlling the familywise error rate for testing the families of one-sided hypotheses. We apply these procedures for making successive comparisons between the treatment effects under a simple-order assumption. For example, the treatment means may be a sequences of increasing dose levels of a drug. Using simulations, we demonstrate that the proposed step-down procedure is less conservative than the Machekano and Hubbard's procedure. The application of the procedure is illustrated with an example.
被引用紀錄
延伸閱讀
- Chen, T. Y. (2008). A Bayesian Approach to Step Function Regression with Data Dependent Error [master's thesis, National Central University]. Airiti Library. https://www.airitilibrary.com/Article/Detail?DocID=U0031-0207200917353068
- 方偉泉（2007）。Bayesian Survival Analysis for Current Status Data〔碩士論文，中原大學〕。華藝線上圖書館。https://doi.org/10.6840/cycu200700343
- Neath, A. A., & Cavanaugh, J. E. (2006). A Bayesian Approach to the Multiple Comparisons Problem. Journal of Data Science, 4(2), 131-146. https://doi.org/10.6339/JDS.2006.04(2).266
- Chang, F. C. (2010). Model selection in Bayesian method [master's thesis, National Taiwan University]. Airiti Library. https://doi.org/10.6342/NTU.2010.03042
- Neath, A. A., & Langenfeld, N. (2012). A Note on the Comparison of the Bayesian and Frequentist Approaches to Estimation. Advances in Decision Sciences, 2012(), 1-12-034. https://doi.org/10.1155/2012/764254