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    政大機構典藏 > 商學院 > 統計學系 > 學位論文 >  Item 140.119/90113
    請使用永久網址來引用或連結此文件: https://nccur.lib.nccu.edu.tw/handle/140.119/90113


    題名: 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
    作者: 雷淑儀
    貢獻者: 丁兆平
    雷淑儀
    日期: 1989
    1988
    上傳時間: 2016-05-03 14:14:25 (UTC+8)
    摘要: 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。
    參考文獻: 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.)
    描述: 碩士
    國立政治大學
    統計學系
    資料來源: http://thesis.lib.nccu.edu.tw/record/#B2002005389
    資料類型: thesis
    顯示於類別:[統計學系] 學位論文

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