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| 研究生： |
賴佳琳 Lai, Chialin |
|---|---|
| 論文名稱： |
聯合線性模式中獨立的檢定 Combining independent Tests in Linear Model |
| 指導教授： |
宋傳欽
Sung, Chuan-Chin |
| 學位類別： |
碩士
Master |
| 系所名稱： |
理學院 - 應用數學系 Department of Mathematical Sciences |
| 論文出版年： | 1996 |
| 畢業學年度： | 84 |
| 語文別： | 中文 |
| 論文頁數： | 60 |
| 中文關鍵詞： | 聯合獨立的檢定 |
| 外文關鍵詞： | Combining independent tests |
| 相關次數： | 點閱：211 下載：0 |
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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。
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
[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.
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