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題名 聯合線性模式中獨立的檢定
Combining independent Tests in Linear Model作者 賴佳琳
Lai, Chialin貢獻者 宋傳欽
Sung, Chuan-Chin
賴佳琳
Lai, Chialin關鍵詞 聯合獨立的檢定
Combining independent tests日期 1996 上傳時間 28-Apr-2016 13:30:05 (UTC+8) 摘要 本文主要是探討「聯合線性模式中獨立的檢定」在實驗設計上的應用。首先我們對Zhou和Mathew在文獻中所概述的例子予以詳盡的分析討論，其次在特殊情況下對Zhou和Mathew所提出的檢定稍做修正，最後以實例模擬比較四個相關檢定之檢力大小。 參考文獻 [1] Cohen, A. and Sackrowitz, H. B. (1989), "Exact Tests That Recover Interblock Information in Balanced Incomplete Block Designs," Journal of American Statistical Association, 84 , 556-559. [2] Graybill, F. A. (1976), Theory and Application of the Linear Model, Duxbury press. [3] Rosenthal, R. (1978), " Combination Results of Independent Studies," Psychological Bulletin, 85, 185-193. [4] Rao, C. R. (1973), Linear Statistical Inference and Its Applications (2nded.), New York: John Wiley. [5] Sen, P. K. (1988) ," Combination of Statistical Tests for Multivariate Hypotheses Against Restricted Alternatives," in Proceedings of the International Conference in Multivariate Statistical Analysis, eds. S. Dasgupta and 1. K. Ghosh, Calcutta: Indian Statistical Institute, pp.377-402. [6] Yates, F. (1940), "The Recovery of Inter-block Information in Balanced Incomplete Block Design, " Annals of Eugenics, 10,317-325. [7] Zhou, L. and Mathew, T.," Combining Independent Tests in Linear Model" Journal of American Statistical Association, 1993, Vo1.88, No. 442, Theory and Methed. [8] Zhou, L. (1992), " Exact, Approximate, and Optimum Tests in Some Univariate and Multivariate Linear Models," unpublisshed Ph. D. dissertation, University of Maryland Baltimore County, Dept. of Mathematics and Statistics. 描述 碩士
國立政治大學
應用數學系
83751004資料來源 http://thesis.lib.nccu.edu.tw/record/#B2002002895 資料類型 thesis dc.contributor.advisor 宋傳欽 zh_TW dc.contributor.advisor Sung, Chuan-Chin en_US dc.contributor.author (Authors) 賴佳琳 zh_TW dc.contributor.author (Authors) Lai, Chialin en_US dc.creator (作者) 賴佳琳 zh_TW dc.creator (作者) Lai, Chialin en_US dc.date (日期) 1996 en_US dc.date.accessioned 28-Apr-2016 13:30:05 (UTC+8) - dc.date.available 28-Apr-2016 13:30:05 (UTC+8) - dc.date.issued (上傳時間) 28-Apr-2016 13:30:05 (UTC+8) - dc.identifier (Other Identifiers) B2002002895 en_US dc.identifier.uri (URI) http://nccur.lib.nccu.edu.tw/handle/140.119/87370 - dc.description (描述) 碩士 zh_TW dc.description (描述) 國立政治大學 zh_TW dc.description (描述) 應用數學系 zh_TW dc.description (描述) 83751004 zh_TW dc.description.abstract (摘要) 本文主要是探討「聯合線性模式中獨立的檢定」在實驗設計上的應用。首先我們對Zhou和Mathew在文獻中所概述的例子予以詳盡的分析討論，其次在特殊情況下對Zhou和Mathew所提出的檢定稍做修正，最後以實例模擬比較四個相關檢定之檢力大小。 zh_TW dc.description.tableofcontents 第一章緒論..........1 1.1研究動機與目的..........1 1.2本文架構..........2 第二章文獻回顧..........3 2.1COHEN和SACKROWITZ在BIBD下重新使用區組間情報所導得之精確檢定..........3 2.1.1前言..........3 2.1.2BIBD之介紹..........4 2.1.3內區組分析..........5 2.1.4區組間分析..........6 2.1.5Cohen和Sackrowitz精確檢定法..........7 2.2ZHOU和MATHEW聯合線性模式中獨立的檢定..........9 2.2.1前言..........9 2.2.2模式的介紹..........9 2.2.3Zhou和Mathew精確的檢定法..........10 第三章在實驗設計上的應用..........14 3.1區組設計..........14 3.1.1前言..........14 3.1.2內區組分析..........15 3.1.3區組間分析..........17 3.2YOUDEN方格設計..........19 3.2.1前言..........19 3.2.2模式的介紹..........20 3.2.3內區組分析..........21 3.2.4區組間分析(I)..........23 3.2.5區組間分析(II)..........25 3.3區組設計的殊情形：當區組效應和處理效應固定，且每一區組之變異σ2不盡相同....................27 3.3.1模式介紹..........27 3.3.2內區組分析..........27 第四章特殊情況下ZHOU和MATHEW檢定的修正..........31 4.1修正的構想..........31 4.2實例說明..........32 第五章實例分析..........36 附錄..........40 zh_TW dc.source.uri (資料來源) http://thesis.lib.nccu.edu.tw/record/#B2002002895 en_US dc.subject (關鍵詞) 聯合獨立的檢定 zh_TW dc.subject (關鍵詞) Combining independent tests en_US dc.title (題名) 聯合線性模式中獨立的檢定 zh_TW dc.title (題名) Combining independent Tests in Linear Model en_US dc.type (資料類型) thesis en_US dc.relation.reference (參考文獻) [1] Cohen, A. and Sackrowitz, H. B. (1989), "Exact Tests That Recover Interblock Information in Balanced Incomplete Block Designs," Journal of American Statistical Association, 84 , 556-559. [2] Graybill, F. A. (1976), Theory and Application of the Linear Model, Duxbury press. [3] Rosenthal, R. (1978), " Combination Results of Independent Studies," Psychological Bulletin, 85, 185-193. [4] Rao, C. R. (1973), Linear Statistical Inference and Its Applications (2nded.), New York: John Wiley. [5] Sen, P. K. (1988) ," Combination of Statistical Tests for Multivariate Hypotheses Against Restricted Alternatives," in Proceedings of the International Conference in Multivariate Statistical Analysis, eds. S. Dasgupta and 1. K. Ghosh, Calcutta: Indian Statistical Institute, pp.377-402. [6] Yates, F. (1940), "The Recovery of Inter-block Information in Balanced Incomplete Block Design, " Annals of Eugenics, 10,317-325. [7] Zhou, L. and Mathew, T.," Combining Independent Tests in Linear Model" Journal of American Statistical Association, 1993, Vo1.88, No. 442, Theory and Methed. [8] Zhou, L. (1992), " Exact, Approximate, and Optimum Tests in Some Univariate and Multivariate Linear Models," unpublisshed Ph. D. dissertation, University of Maryland Baltimore County, Dept. of Mathematics and Statistics. zh_TW
