跳到主要內容

簡易檢索 / 詳目顯示

回結果列表
研究生： 徐永豐
Hsu, Yung-Feng
論文名稱： A-最適試驗處理與對照處理比較之Diallel Crosses實驗
Families of A-Optimal Diallel Crosses for Test versus Control Comparisons
指導教授： 丁兆平
Ting, Chao-Ping
學位類別： 博士
Doctor
系所名稱： 商學院 - 統計學系
Department of Statistics
論文出版年： 2004
畢業學年度： 92
語文別： 英文
論文頁數： 97
外文關鍵詞： type S block design, type S0 block design, type S design
相關次數： 點閱：175  下載：49 
分享至:
查詢本校圖書館目錄 查詢臺灣博碩士論文知識加值系統 勘誤回報

    • Diallel cross experiments for comparing p test lines with a control in the set up of block designs and completely randomized designs are investigated. Complete diallel crosses including all p(p+1)/2 distinct crosses are considered. Families of A-optimal and efficient type S0 block designs for p=2,3, and for p>=4, k=2 are obtained, and the construction methods are given. For p>=k>=3, and p>=4, a sufficient condition for type S0 block designs with the control line appearing tb times, where t>=1 is an integer, to be A-optimal is obtained, and families of A-optimal type S0 block designs are provided. The A-optimality of type S designs under the model of completely randomized designs when 2<=p<=6 is also tudied, and some examples are given.

    1. Introduction 1
    2. Preliminaries 5
    3. Optimal and Efficient Designs for p=2,3, and for p>=4,
    k=2 11
    3.1. Optimal and Efficient Designs for p=3 11
    3.2. Efficient Designs for p=2 18
    3.3. Optimal and Efficient Designs for p>=4, k=2 25
    4. A-Optimal Designs for p>=k 32
    4.1. A-Optimal Designs for [(2bk-sd0)/pb]=0 32
    4.1.1. A-Optimal Designs for t=1 43
    4.1.2. A-Optimal Designs for t>=2 48
    4.2. A-Optimal Designs for [(2bk-sd0)/pb]=1 57
    5. A-Optimality of Completely randomized Designs 82
    5.1. Optimal Designs for p=2,3 82
    5.2. Optimal Designs for 4<=p<=6 89

    Bechhofer, R.E., Tamhane, A.C. (1981). Incomplete block designs for comparing treatments with a control: General theory, Technometrics 23, 45-57.
    Chai, F.S., Mukerjee, R. (1999). Optimal designs for diallel crosses with specific combining abilities, Biometrika 86, 453-458.
    Choi, K.C., Gupta, S, Kageyama, S. (2002). Designs for diallel crosses for test versus control comparisons. To appear in Utilitas Math.
    Cox, D.R. (1958). Planning of Experiments, Wiley, New York.
    Curnow, R. N. (1963). Sampling the diallel cross, Biometrics 19, 287-306.
    Das, A. (2002). Efficient Control-Test Designs for diallel cross experiments, isid/ms/2002/12, Indian Statistical Institute, India.
    Das, A., Dean, A.M., Gupta, S. (1998). On optimality of some partial diallel cross designs, Sankyuā B 60, 511-524.
    Das, A., Dey, A., Dean, A.M. (1998). Optimal designs for diallel cross experiments, Statist. Prob. Letters 36, 427-436.
    Das, A., Gupta, S., Kageyama, S. (2002). A-optimal diallel crosses for test versus control comparisons, isid/ms/2002/23, Indian Statistical Institute, India.
    Dey, A., Das U.S., Banerjee, A.K. (1986). Construction of nested balanced incomplete block designs, Calcutta Statist. Assoc.Bull. 35, 161-167.
    Dey, A., Midha, C.K. (1996). Optimal block designs for diallel crosses, Biometrika 83, 484-489.
    Finney, D. J. (1958b). Plant selection for yield improvement, Euphytica 7, 83-106.
    Gilbert, N. E. G. (1958). Diallel cross in plant breeding, Heredity 12, 477-492.
    Griffing, B. (1956). Concept of general and specific combining ability in relation to diallel crossing systems, Aust. J. Biol. Sci. 9, 463-493.
    Gupta, S. (1989). Efficient designs for comparing test treatments with a control treatment, Biometrika 76, 783-787.
    Gupta, S., Das, A., Kageyama, S. (1995). Single replicate orthogonal block designs for circulant partial diallel crosses, Commun. Statist. 24, 2601-2607.
    Gupta, S., Kageyama, S. (1994). Optimal complete diallel crosses, Biometrika 81, 420-424.
    Hedayat, A.S., Majumdar, D. (1984). A-optimal incomplete block designs for control-test treatment comparisons, Technometrics 26, 363-370.
    Hedayat, A.S., Majumdar, D. (1985). Families of A-optimal block designs for comparing test treatments with a control, Ann. Statist. 13, 757-767.
    Hinkelmann, K. (1975). Design of genetic experiments, In: J.N. Srivastava (Ed.), A Survey of Statistical Design and Linear Models, North-Holland, Amsterdam, pp. 243-269.
    Jacroux, M., Majumdar, D. (1989). Optimal block designs for comparing test treatments with a control when k > v, J. Statist. Plan. Infer. 23, 381-396.
    Kiefer, J. (1975). Constructions and optimality of generalized Youden Designs, In: J.N. Srivastava (Ed.), A Survey of Statistical Design and Linear Models, North-Holland, Amsterdam, pp. 333-353.
    Majumdar, D. (1996). Optimal and efficient treatment-control designs, In: S. Ghosh, C. R. Rao (Ed.), Handbook of Statistics 13, North-Holland, Amsterdam, pp. 1007-1053.
    Majumdar, D., Notz, W. (1983). Optimal incomplete block designs for comparing treatments with a control, Ann. Statist. 11, 258-266.
    Morgan, J.P., Preece, D.A., Rees, D.H. (2001). Nested balanced incomplete block designs, Discrete Mathematics 231, 351-389.
    Mukerjee, R. (1997). Optimal partial diallel crosses, Biometrika 84, 939-948.
    Preece D. A. (1967). Nested balanced incomplete block designs, Biometrika 54, 479-486.
    Singh, M., Hinkelmann, K. (1990). On generation of efficient partial diallel crosses plans, Biom. J. 32, 177-187.
    Yates, F. (1950). Recent applications of biometrical methods in genetics, Biometrics 6, 200-207.

    QR CODE
    :::