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    Please use this identifier to cite or link to this item: https://nccur.lib.nccu.edu.tw/handle/140.119/89643


    Title: 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
    Authors: 張萃貞
    Contributors: 朗冰瑩
    張萃貞
    Date: 1991
    1990
    Issue Date: 2016-05-02 17:02:51 (UTC+8)
    Abstract: 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。
    Reference: [1] Bechhofer, R. E., and Tamhane, A. C. (1981), Incomplete block designs for comparing treatments with a control. Technometrics , 23 , 45-57.
    [2] Cheng , C. S. (1978) , Optimality of certain asymmetrical designs. The Annals of Statistics , 6 , 1239-1261.
    [3] Hedayat, A. S., and Majumdar, D.(1984), A-optimal black designs for control-test treatment comparisions. Technometrics, 26,363-370.
    [4] Hedayat , A. S., and Majumdar, D.(1985), A-optimal black designs for comparing test treatments with a control. The Annals of Statistics,6, 757-767.
    [5] Jacroux, M. (1985) , Some sufficient conditions for the type 1 optimality of block designs. Journal of Statistical Planning and Inference , 11. 385-398.
    [6] Jacroux, M. (1987a). On the determination and construction of MV - optimal block designs for comparing test treatments with a standard treatment. Journal of Statistical Planning and Inference. 15 , 205-225.
    [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.
    [12]Stufken, J.(1987), A-Optimal block designs for comparing test treatments with a control. The Annals of Statistics, 15, 1629-1638.
    [13] Stufke. J. (1987) , On group divisible treatment designs for comparing test treatments with a standard treatment in blocks of size 3. International statistical symposium Taipei , R.O.C
    Description: 碩士
    國立政治大學
    統計學系
    Source URI: http://thesis.lib.nccu.edu.tw/record/#B2002005030
    Data Type: thesis
    Appears in Collections:[Department of Statistics] Theses

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