| 研究生: |
雷淑儀 |
|---|---|
| 論文名稱: |
對照處理及試驗處理比較之最佳內置行與列之集區設計 OPTIMAL BLOCK DESIGNS WITH NESTED ROWS AND COLUMNS FOR CONTROL-TEST TREATMENT COMPARISONS |
| 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: | 1989 |
| 畢業學年度: | 77 |
| 語文別: | 中文 |
| 論文頁數: | 31 |
| 相關次數: | 點閱:118 下載:0 |
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摘要
此篇論文為考慮在集區設計內置行與列(block designs with nested rows and columns) 的模型下,求得同時以p組試驗組與一組對照組比較之A式最佳設計。A式最佳設計當p = 7,..., 25. b = 1....50之表錄詳列於後,某些特殊形式的設計亦將在例題中列舉。
目錄
一、摘要......1
二、文獻回顧......2
三、引言......7
四、符號註釋及A式最佳內置與列集區行設計之條件......11
五、求最佳內置行與列集區設計之方法......15
六、最佳A式內置行與列集區設計表......28
七、參考文獻......31
1 Agrawal, H. L. and Prasad, J. (1982). Some methods of construction of balanced incomplete block designs with nested rows and columns. Biometrika, 69, 481-483.
2 Cheng,Ching-Shui. (1986).A method of constructing balanced icomplete block designs with nested rows and columns. Biometrika, 73, 695-700.
3 Kiefer ,J. (1975) .Construction and optimality of generalized Youden designs. A Survey of Statistical Design and Linear Models(J.Srivastava ed.), North Holland, New York,333-353.
4 Majumdar,D. (1986) .Optimal designs for comparsions between two sets of treatments. J. Statist. Plan and 1nf.,14,359-372.
5 Notz,V.1. (1985) .Optimal designs for treatment-control comparison in the presences of two-way heterogeneity. J. Statist. Plan and Inf.12,61-73.
6 Preece, D.A. (1967) .Nested balanced incomplete block designs.Biometrika,54,479-486.
7 Singh, M. and Dey, A. (1979). Block designs with nested rows and columns.Biometrika, 66, 321-326.
8 Srivastava, J.N. (1978) .Statistical design of agricultural experiments.J.Ind.Soc.Agric.Statist.,30,l-10.
9 Street, D.J. (1981) .Graeco-Latin and nested row and column designs.
Combinatorial Mathematics,8,Ed.K.L.McAvaney,304-313.
10 Ting, C.P.and Notz, V.1.(1987). Optimal row-column designs for treatment-control comparisons.Technical Report No.373, The Ohio State University.
11 Ting, C.P.and Notz, W. I. (1989a). Optimal row-column designs and block designs for treatment-control comparisons.(Submitted for publication.)
12 Ting , C. P . and Notz , W. I. (1989b). 0ptimal block designs with nested rows and columns for control-test treatment comparisons. Technical Report ,National Chengchi University.(Submitted for publication.)
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