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    政大機構典藏 > 商學院 > 統計學系 > 期刊論文 >  Item 140.119/65650


    请使用永久网址来引用或连结此文件: https://nccur.lib.nccu.edu.tw/handle/140.119/65650


    题名: Asymptotic And Exact Two-Sample Poisson Tests
    作者: Liu, Mingte;Hsueh, Huey-Miin
    贡献者: 統計系
    关键词: Asymptotic test;exact test;Poisson;p-value;superiority
    日期: 2010-06
    上传时间: 2014-04-29 09:13:59 (UTC+8)
    摘要: The Poisson distribution is popular in modeling a rare events in various fields such as biology, commerce, quality control, and so on. Many applications involve a comparison of two treatment groups based on two independent random samples drawn from Poisson distributions. In this study, the asymptotic power function and sample size formula of two types of Wald test are derived. Moreover, two exact testing procedures are introduced and investigated as well. The required sample size of the exact procedures can be found numerically. Through intensive numerical studies, the validity of these tests is justified. The performance of the two asymptotic tests are found to depend on the fraction of the two sample sizes and they tend to generate conclusions that are too liberal. In contrast, the two exact tests lead to more satisfactory statistical conclusions. Moreover, the asymptotic sample size formulae provide adequate approximations to the required sample size for the exact approach. A data set of breast cancer patiesis analyzed for illustration.
    關聯: 中國統計學報,48(2),85-107
    数据类型: article
    显示于类别:[統計學系] 期刊論文

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