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A Note on Comparing Several Poisson Means
Authors:Ching-Hui Chang  Jyh-Jiuan Lin
Affiliation:1. Department of Applied Statistics and Information Science , Ming Chuan University , Taoyuan County , Taiwan;2. Department of Statistics , Tamkang University , Tamsui , Taipei , Taiwan
Abstract:There has been a renewed interest lately in comparing the means (rates) of several Poisson distributions (processes) due to its wide applicability in various fields, especially in life sciences. In this article we first review the recent developments in the literature, and then propose a parametric bootstrap method which performs as good as, if not better than, the existing methods. Results of our comprehensive simulation study have been provided to compare the relevant methods. Finally these methods have been used to four real-life datasets including a most recent one obtained from a clinical trial on the Intrinsa hormone patch developed by Proctor & Gamble.
Keywords:Level of significance  Maximum likelihood estimation  Parametric bootstrap  Power function  Size
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