English  |  正體中文  |  简体中文  |  Post-Print筆數 : 27 |  Items with full text/Total items : 112704/143671 (78%)
Visitors : 49781351      Online Users : 548
RC Version 6.0 © Powered By DSPACE, MIT. Enhanced by NTU Library IR team.
Scope Tips:
  • please add "double quotation mark" for query phrases to get precise results
  • please goto advance search for comprehansive author search
  • Adv. Search
    HomeLoginUploadHelpAboutAdminister Goto mobile version
    政大機構典藏 > 商學院 > 統計學系 > 學位論文 >  Item 140.119/103916
    Please use this identifier to cite or link to this item: https://nccur.lib.nccu.edu.tw/handle/140.119/103916


    Title: 實驗設計中直交表之研究
    Authors: 林龍樹
    Contributors: 黎正中
    林龍樹
    Date: 1985
    Issue Date: 2016-11-14 15:02:48 (UTC+8)
    Abstract: 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49
    4 . 2 直交表實例分析50
    4 . 2 . 1 L8(27)實例研究50
    4 . 2 . 2 L16(215)實例研究78
    4 . 2 . 3 L27(313)實例研究83
    4 . 2 . 4 多水準實例研究91
    4 . 2 . 5 分割法實例研究94
    4 . 3討論96
    第五章 結論101
    參考書目103
    Reference: 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 Unpublished thesis, University of North Carolina.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.
    Relation: 國立政治大學
    統計研究所
    碩士
    73
    Data Type: thesis
    Appears in Collections:[統計學系] 學位論文

    Files in This Item:

    File Description SizeFormat
    index.html0KbHTML2384View/Open


    All items in 政大典藏 are protected by copyright, with all rights reserved.


    社群 sharing

    著作權政策宣告 Copyright Announcement
    1.本網站之數位內容為國立政治大學所收錄之機構典藏,無償提供學術研究與公眾教育等公益性使用,惟仍請適度,合理使用本網站之內容,以尊重著作權人之權益。商業上之利用,則請先取得著作權人之授權。
    The digital content of this website is part of National Chengchi University Institutional Repository. It provides free access to academic research and public education for non-commercial use. Please utilize it in a proper and reasonable manner and respect the rights of copyright owners. For commercial use, please obtain authorization from the copyright owner in advance.

    2.本網站之製作,已盡力防止侵害著作權人之權益,如仍發現本網站之數位內容有侵害著作權人權益情事者,請權利人通知本網站維護人員(nccur@nccu.edu.tw),維護人員將立即採取移除該數位著作等補救措施。
    NCCU Institutional Repository is made to protect the interests of copyright owners. If you believe that any material on the website infringes copyright, please contact our staff(nccur@nccu.edu.tw). We will remove the work from the repository and investigate your claim.
    DSpace Software Copyright © 2002-2004  MIT &  Hewlett-Packard  /   Enhanced by   NTU Library IR team Copyright ©   - Feedback