| 研究生: |
程華懿 |
|---|---|
| 論文名稱: |
貝氏最佳實驗設計 Bayes A-optimal Row-Column Design |
| 指導教授: | 丁兆平 |
| 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: | 1990 |
| 畢業學年度: | 78 |
| 語文別: | 中文 |
| 論文頁數: | 64 |
| 相關次數: | 點閱:159 下載:0 |
| 分享至: |
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目錄
第一章 緒論
第一節 研究動機與目的………1
第二節 文獻探討………3
第三節 本文架構………6
第二章 貝氏A式最佳行列設計
第一節 A式最實驗設計的建立………7
第二節 貝氏A式最佳實驗設計之架構………10
第三節 定理及引理………14
第三章 實例與說明………18
第四章 結論………62
參考文獻………63
附表
表一………26
表二………30
表三………33
表四………44
表五………56
參考文獻
Bechhofer, R.E. and Tamhane, A.C. (1981). Incomplete block design for comparing treatments with a control:general theory. Technometrics Vol. 23,P.45-57.
Giovagnoli, A. and Verdinelli, I. (1983). Bayes D-optima1 and E-optimal block designs.
Biometrika 70. P.695-706.
Giovagnoli, A. and Verdinelli, I. (1985). Optimal block designs under a hierarchica1 linear model, in: J. M. Bernardo. M.H. De Groot. D.V. Lindleyand A.F.M. Smith.(eds.).Bayesian Statistics.2(North Holland.Amsterdam).P.655-662.
Kiefer. J. (1975). Construction and optimality of generalized Youden designs. A survey of Statistical design & linear models. J.N. Srivastava ., North-Holland. New York,P.333-353.
Majumdar. D. (1986). Optimal designs for comparings between two sets of treatments. J. Statist. Plan. And Inf.14. P.359-372.
Majumdar. (1988) . Optima Block designs for comparing new treatments with a standard treatment. Statistical Laboratory Technical Report. Department of Mathematics,Statistics; & Computer Science. Illinois University at Chicago.
Owen , R. J. (1970). The optimum design of a two-factor experiment using prior information. Ann. Math Statist.41, P.1917-1934.
Srnith ,A.F.M. and Verdinelli, I (1980). A note of Bayes designs for inference using a hierarchicallinear rnodel.Biornetrika 67 , P.613-619
Tornan , B. and Notz. W. I. (1987). Bayesian optima experimental design for treatrnent-contral cornparisons in the presence of two-way hetergeneity. Technical report 368 ,Departrnent Statistics ,Ohio State University.
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