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Simultaneous Confidence Intervals for the Mean of Multivariate Poisson Distribution: A Comparison
Authors:Myoungshic Jhun  Joshua Seungwook Bahng
Affiliation:1. Department of Statistics , Korea University , Seoul, Korea;2. Department of Management and Economics , Handong Global University , Pohang, Korea
Abstract:
Haibing (2009) proposed a procedure for successive comparisons between ordered treatment effects in one-way layout and showed that the proposed procedure has greater power than the procedure proposed by Lee and Spurrier (1995). Critical constants required for the proposed procedure were estimated using Monte Carlo simulation and few values of the constants were tabulated which limit the applications of the proposed procedure. In this article, a numerical method, using recursive integration methodology, is discussed to compute the critical constants which work efficiently for a large number of treatments and extensive values of critical constants are tabulated for the use of practitioners. Power comparisons of Haibing's and Lee and Spurrier's procedure is also discussed.
Keywords:Bootstrap  Communicable disease data  Multivariate Poisson distribution  Simultaneous confidence intervals and levels
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