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| 研究生： |
張萃貞 |
|---|---|
| 論文名稱： |
對照處理與4或6個試驗處理比較之最佳群可分集區設計之研究 |
| 指導教授： | 朗冰瑩 |
| 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： | 1991 |
| 畢業學年度： | 79 |
| 語文別： | 中文 |
| 論文頁數： | 41 |
| 相關次數： | 點閱：134 下載：0 |
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含對照處理之區集實驗設計是將對照處理及v個試驗處理配置在b 個大小為k 的區集中實驗.本文針對k=3,v =4 或6之群可分集區設計(Group-Divisible Treatment Design) 探討:給定λ0 ， λ1 ，λ2 後，對具有最少區集數目b 之設計，何者可達到A-Optimal，若無法達到A-Optimal 又以何者較有效率. 由結果中可知:具有最少區集數目之A-Optimal GDTD，其λ0 γ0 有特定之關係。
第一章 簡介.................................1
第一節 引言.................................1
第二節 模型.................................3
第三節 最適A型設計.................................5
第四節 群可分集區設計(GDTD) .................................6
第二章 文獻回顧.................................7
第一節 最適A型設計之充分條件.................................7
第二節 v=4 或 6，k=3 之特定參數下最少區集之設計.................................11
第三章 最適A型 GDTD之研究.................................20
第一節 最適A型設計之搜尋.................................20
第二節 討論.................................22
第四章 討論.................................26
第五章 其他具高效率之GDTD.................................29
附錄A ....................................... 33
附錄B.................................35
附錄C .................................36
附錄D.................................38
附錄E.................................39
參考文獻.................................40
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[7] Jacroux, M.(1987b). On the A-optimality of block designs for comparing test treatmcnts with a control. technical report , Washington State University.Dept. of Hathematical Sciences.
[8] Jacroux, M.(1989), On the A-optimality of block designs for comparing test treatments with a control. J. Amer. Statist. Assoc. 84, 310-317.
[9] Kiefer, J. (1975), Construction and optimality of generalized Youden designs. A Survey of Statistical Design and I.inear Models(J.Srivastava ed.), North Holland, New Yark,333-353.
[10] Majumdar , D., and Notz, W. (1983), Optimal incomplete block designs for comparing treatments with a control. The Annals of Statistics, 11. 258-266.
[11] Notz. W. and Tamhane. A. C. (1983) , Balanced treatment incomplete block designs for comparing treatments with a control: Minimal complete sets for generator designs for k = 3, p = 3(1) 10. Comm. Statist. A - Theory Methods 12. 1391-1412.
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