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題名 Asymptotic And Exact Two-Sample Poisson Tests
作者 Liu, Mingte ; Hsueh, Huey-Miin
貢獻者 統計系
關鍵詞 Asymptotic test;exact test;Poisson;p-value;superiority
日期 2010-06
上傳時間 29-Apr-2014 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
資料類型 article
dc.contributor 統計系en_US
dc.creator (作者) Liu, Mingte ; Hsueh, Huey-Miinen_US
dc.date (日期) 2010-06en_US
dc.date.accessioned 29-Apr-2014 09:13:59 (UTC+8)-
dc.date.available 29-Apr-2014 09:13:59 (UTC+8)-
dc.date.issued (上傳時間) 29-Apr-2014 09:13:59 (UTC+8)-
dc.identifier.uri (URI) http://nccur.lib.nccu.edu.tw/handle/140.119/65650-
dc.description.abstract (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.en_US
dc.format.extent 148693 bytes-
dc.format.mimetype application/pdf-
dc.language.iso en_US-
dc.relation (關聯) 中國統計學報,48(2),85-107en_US
dc.subject (關鍵詞) Asymptotic test;exact test;Poisson;p-value;superiorityen_US
dc.title (題名) Asymptotic And Exact Two-Sample Poisson Testsen_US
dc.type (資料類型) articleen