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| 研究生： |
莊明達 |
|---|---|
| 論文名稱： |
以無母數方法處理二因子實驗之研究 |
| 指導教授： | 劉明路 |
| 學位類別： |
碩士
Master |
| 系所名稱： |
商學院 - 統計學系 Department of Statistics |
| 論文出版年： | 1987 |
| 畢業學年度： | 75 |
| 語文別： | 中文 |
| 論文頁數： | 119 |
| 相關次數： | 點閱：204 下載：0 |
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目錄
第一章 緒言………1
第一節 研究動機與目的………1
第二節 三類方法之概述與比較………5
第三節 本文摘要………8
第二章 n Ranking Method在隨機化區集法中的應用………9
第一節 隨機化區集法………9
第二節 n Ranking Method的理論基礎………13
第三節 檢定統計量的理論與性質………17
第四節 幾種主要分配下的A.R.E………34
第三章 n Ranking Method在二因子要因實驗中的應用………39
第一節 二因子要因實驗………39
第二節 n Ranking Method的檢定統計量及其若干性質………42
第三節 幾種主要分配下的A.R.E………56
第四節 當m趨近無限大時的A.R.E………58
第四章 結論………73
附錄………78
參考資料………117
參考文獻
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(4) Chernoff, H.C. and Savage, I. R. (1958) "Asymptotic Normality and. Efficiency of Certain Nonparametric Test Statistics" A.M.S. 29, 972-994.
(5) Conover, W.J . (1980) Practical Nonparametric Statistics (2nd ed). New York: John Wiley.
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(7) Conover, W. J. and Iman, R.L. (1981) "Rank Transformations as a Bridge Between Parametric and Nonparametric Statistics" J.A.S.A, 35,124-133.
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(13) Hajek, J. (1968) "Asymptotic Normality of Simple Linear Rank statistics Under Alternatives" A.M.S. 39, 325-346.
(14) Hajek, J . (1968) A course in Nonparametric Statistics. San Francisco: Holden-Day.
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(17) Hodges, J. L. JR. and Lehmann, E. L. (1962) "Rank Methods for Combination of Independent Experiments in Analysis of Variance" A.M.S., 33, 482-497.
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(19) Mack, G. A. and Skillings, J. H. (1980) "A Friedman-Type Rank Test for Main Effects in a Two-Factor ANOVA" J,A.S.A, 75, 947-951.
(20) Montgomery, D.C. (1984) Design & Analysis of Experiments (2nd ed). New York: John Willey.
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(22) Puri, M.L. (1964) "Asymptotic Efficiency of a Class of C-Sample Tests" A.M.S. 35, 102-121.
(23) Schach, S. (1979) "An Alternative to the Friedman Tests with certain Optimality Properties "The Annals of statistics. 7, 537-550.
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(26) Sen, P.K. (1968) "On a class of Aligened Rank Order Tests in Two-Way Layouts "A.M.S. 39, 1115-1124.
(27) William, C. and Rinaman, JR. (1983) "On Distribution-Free Rank Tests for Two-Way Layouts" J.A.S.A, 78, 655-659.
J.A.S.A: Journal of the American Statistical Association
A.M.S: Annuals of Mathematical Statistics.
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