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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 3-May-2016 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
dc.contributor.advisor 丁兆平zh_TW
dc.contributor.author (Authors) 雷淑儀zh_TW
dc.creator (作者) 雷淑儀zh_TW
dc.date (日期) 1989en_US
dc.date (日期) 1988en_US
dc.date.accessioned 3-May-2016 14:14:25 (UTC+8)-
dc.date.available 3-May-2016 14:14:25 (UTC+8)-
dc.date.issued (上傳時間) 3-May-2016 14:14:25 (UTC+8)-
dc.identifier (Other Identifiers) B2002005389en_US
dc.identifier.uri (URI) http://nccur.lib.nccu.edu.tw/handle/140.119/90113-
dc.description (描述) 碩士zh_TW
dc.description (描述) 國立政治大學zh_TW
dc.description (描述) 統計學系zh_TW
dc.description.abstract (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。		zh_TW
dc.description.tableofcontents 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		zh_TW
dc.source.uri (資料來源) http://thesis.lib.nccu.edu.tw/record/#B2002005389en_US
dc.title (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zh_TW
dc.title (題名) OPTIMAL BLOCK DESIGNS WITH NESTED ROWS AND COLUMNS FOR CONTROL-TEST TREATMENT COMPARISONSen_US
dc.type (資料類型) thesisen_US
dc.relation.reference (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.)		zh_TW