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題名 實驗設計中直交表之研究 作者 林龍樹 貢獻者 黎正中
林龍樹日期 1985 上傳時間 14-Nov-2016 15:02:48 (UTC+8) 摘要 第一章 緒論1 1 . 1 研究動機1 1 . 2 研究目的2 1 . 3 研究綱要2 第二章 直交表理論探討3 2 . 1 直交來源及其源進3 2 . 2 直交表與各種設計關係8 2 . 3 直交表建立與特性10 2 . 3 . 1 直交表建立10 2 . 3 . 2 直交表特性13 第三章 直交表配置與分析19 3 . 1 直交表配置種類19 3 . 2 直交表配置方法20 3 . 3 直交表的分析28 3 . 3 . 1 模型建立與參數估計28 3 . 3 . 2 參數的不偏性35 3 . 3 . 3 均方期望值37 3 . 3 • 4 檢定方法40 3 . 3 . 5 殘差的選擇及分析41 3 . 3 . 6 Duncan 檢定46 3 . 3 . 7 最佳操作條件的選取47 第四章 直交表應用實例研究49 4 . 1 前言494 . 2 直交表實例分析504 . 2 . 1 L8（27）實例研究504 . 2 . 2 L16（215）實例研究784 . 2 . 3 L27（313）實例研究834 . 2 . 4 多水準實例研究91 4 . 2 . 5 分割法實例研究944 . 3討論96第五章 結論101參考書目103 參考文獻 1.鍾朝嵩，工廠實驗計畫法，先鋒企業管理發展中心，民國71年改訂8版。 2.白賜清，工業實驗計畫法，中華民國管協會，民國70年改訂一版。 3.吳玉印，實驗計畫法，中興經營管理叢書，民國71年改訂二版。 4.陳文哲，初級實驗計畫法，中興管理顧問公司，民國65年改訂四版。 5.姚景星、劉睦雄，直交表實驗計畫法，松崗電腦圖書資料有限公司，民國68年初版。 6.姚景星，“實驗設計中直交表之應用”，數學研究中心研究報告，1980，8卷，頁1 ~ 108。 7.黃登源、王敏男，應用迴歸分析，宏業產銷管理叢書，民國66年初版。8. Bush, K.A.(1950). “Orthogonal arrays.” Unpublished thesis, University of North Carolina.9. Plackett, R. L. and Burman, J.P.(1946). “ The design of optimum multifactrial experiment.” Biometrics. 33, 305~325。10. Rao, C.R.(1947). “ Factorial experiments derivable from Combinatorial arrangements of arrays.” Jour. Roy. Stat. Soc. 9, 128~139。11. Rao, C.R.(1946). “Hyper cubes of strength `d` leading to confounded design in factorial experiments.” Bull. Calcutta. Math. Soc. 38, 67~78。12. Harold Hotelling.(1944). “ Some improvements in weighing and other experimental technique.” Ann. Math. Stat. 15, 279~306。13. Bose, R. C. and Bush, K. A.(1952). “ Orthogonal arrays of strength two and three.” Ann. Math. Stat. 23, 508~524。14. Bush, K. A.(952). “ Orthogonal arrays of index unity.” Ann. Math. Stat. 23, 426~P434。15. Seiden, E. (1954). “ On the problem of construction of orthogonal arrays.” Ann. Math. Stat. 25, 151~ 156。16. Seiden, E. and Zemach, R. (1966). “On orthogonal arrays.” Ann. Math. Stat. 37, 1355~1370。17. Shrikhande, S.S. and Bhagwandas. (1969).” On embeding of orthogonal arrays of strength two.” Comb. Math. and Appl. Univ. of N. Carolina press. 256~273。18. Shrikhande, S.S. and Singhi, N.M.(1979). “ A note on embeding of orthogonal arrays of strength two.” J. Stat. Planning Inf. 3, 267~271。19. Raghavarao, D. (1971). Constructions and combinatorial problems in design of experiments. John wiley & Sons, Inc.20. Shrikhande, S.S. and Singhi, N.M.(1979). “Embeding of orthogonal arrays of strength two and deficiency creater than two.” J. Stat. planning. Inf. 3, 367~379。21. Raktoe, B. L., Heday, A. and Federer, W. T.(1981). Factoral design. John wiley & Sons, Inc.22. Montgomery, D.C.(1976). Design and analysis of experiments. John wiley & Sons, Inc.23. Chen. C.-C.(1980). “Orthogonal arrays with varable number of symbols.” Ann. Stat. 8, 447~453.24. Johnson, R.A. and wichern, D. W.(1982). Applied multivariate analysis. Prentice-Hall, Inc.25. Hedayat. A. and Shrikhande, S.S.(1977). “ Experimental designs and combinatorial systems associated with Latin squares and Set of mutually orthogonal Latin squares.” Sankhyā. A33, 423~432.26. Mukhopadhyay, A. C.(1981). “Construction of some series of orthogonal arrays.” Sankhy ā B.43, 81~92. 關聯 國立政治大學
統計研究所
碩士
73資料類型 thesis dc.contributor.advisor 黎正中 dc.contributor.author (Authors) 林龍樹 dc.creator (作者) 林龍樹 zh_TW dc.date (日期) 1985 dc.date.accessioned 14-Nov-2016 15:02:48 (UTC+8) - dc.date.available 14-Nov-2016 15:02:48 (UTC+8) - dc.date.issued (上傳時間) 14-Nov-2016 15:02:48 (UTC+8) - dc.identifier.uri (URI) http://nccur.lib.nccu.edu.tw/handle/140.119/103916 - dc.description.abstract (摘要) 第一章 緒論1 1 . 1 研究動機1 1 . 2 研究目的2 1 . 3 研究綱要2 第二章 直交表理論探討3 2 . 1 直交來源及其源進3 2 . 2 直交表與各種設計關係8 2 . 3 直交表建立與特性10 2 . 3 . 1 直交表建立10 2 . 3 . 2 直交表特性13 第三章 直交表配置與分析19 3 . 1 直交表配置種類19 3 . 2 直交表配置方法20 3 . 3 直交表的分析28 3 . 3 . 1 模型建立與參數估計28 3 . 3 . 2 參數的不偏性35 3 . 3 . 3 均方期望值37 3 . 3 • 4 檢定方法40 3 . 3 . 5 殘差的選擇及分析41 3 . 3 . 6 Duncan 檢定46 3 . 3 . 7 最佳操作條件的選取47 第四章 直交表應用實例研究49 4 . 1 前言494 . 2 直交表實例分析504 . 2 . 1 L8（27）實例研究504 . 2 . 2 L16（215）實例研究784 . 2 . 3 L27（313）實例研究834 . 2 . 4 多水準實例研究91 4 . 2 . 5 分割法實例研究944 . 3討論96第五章 結論101參考書目103 dc.format.extent 115 bytes - dc.format.mimetype text/html - dc.relation (關聯) 國立政治大學 dc.relation (關聯) 統計研究所 dc.relation (關聯) 碩士 dc.relation (關聯) 73 dc.title (題名) 實驗設計中直交表之研究 zh_TW dc.type (資料類型) thesis dc.relation.reference (參考文獻) 1.鍾朝嵩，工廠實驗計畫法，先鋒企業管理發展中心，民國71年改訂8版。 2.白賜清，工業實驗計畫法，中華民國管協會，民國70年改訂一版。 3.吳玉印，實驗計畫法，中興經營管理叢書，民國71年改訂二版。 4.陳文哲，初級實驗計畫法，中興管理顧問公司，民國65年改訂四版。 5.姚景星、劉睦雄，直交表實驗計畫法，松崗電腦圖書資料有限公司，民國68年初版。 6.姚景星，“實驗設計中直交表之應用”，數學研究中心研究報告，1980，8卷，頁1 ~ 108。 7.黃登源、王敏男，應用迴歸分析，宏業產銷管理叢書，民國66年初版。8. Bush, K.A.(1950). “Orthogonal arrays.” Unpublished thesis, University of North Carolina.9. Plackett, R. L. and Burman, J.P.(1946). “ The design of optimum multifactrial experiment.” Biometrics. 33, 305~325。10. Rao, C.R.(1947). “ Factorial experiments derivable from Combinatorial arrangements of arrays.” Jour. Roy. Stat. Soc. 9, 128~139。11. Rao, C.R.(1946). “Hyper cubes of strength `d` leading to confounded design in factorial experiments.” Bull. Calcutta. Math. Soc. 38, 67~78。12. Harold Hotelling.(1944). “ Some improvements in weighing and other experimental technique.” Ann. Math. Stat. 15, 279~306。13. Bose, R. C. and Bush, K. A.(1952). “ Orthogonal arrays of strength two and three.” Ann. Math. Stat. 23, 508~524。14. Bush, K. A.(952). “ Orthogonal arrays of index unity.” Ann. Math. Stat. 23, 426~P434。15. Seiden, E. (1954). “ On the problem of construction of orthogonal arrays.” Ann. Math. Stat. 25, 151~ 156。16. Seiden, E. and Zemach, R. (1966). “On orthogonal arrays.” Ann. Math. Stat. 37, 1355~1370。17. Shrikhande, S.S. and Bhagwandas. (1969).” On embeding of orthogonal arrays of strength two.” Comb. Math. and Appl. Univ. of N. Carolina press. 256~273。18. Shrikhande, S.S. and Singhi, N.M.(1979). “ A note on embeding of orthogonal arrays of strength two.” J. Stat. Planning Inf. 3, 267~271。19. Raghavarao, D. (1971). Constructions and combinatorial problems in design of experiments. John wiley & Sons, Inc.20. Shrikhande, S.S. and Singhi, N.M.(1979). “Embeding of orthogonal arrays of strength two and deficiency creater than two.” J. Stat. planning. Inf. 3, 367~379。21. Raktoe, B. L., Heday, A. and Federer, W. T.(1981). Factoral design. John wiley & Sons, Inc.22. Montgomery, D.C.(1976). Design and analysis of experiments. John wiley & Sons, Inc.23. Chen. C.-C.(1980). “Orthogonal arrays with varable number of symbols.” Ann. Stat. 8, 447~453.24. Johnson, R.A. and wichern, D. W.(1982). Applied multivariate analysis. Prentice-Hall, Inc.25. Hedayat. A. and Shrikhande, S.S.(1977). “ Experimental designs and combinatorial systems associated with Latin squares and Set of mutually orthogonal Latin squares.” Sankhyā. A33, 423~432.26. Mukhopadhyay, A. C.(1981). “Construction of some series of orthogonal arrays.” Sankhy ā B.43, 81~92.
