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Please use this identifier to cite or link to this item: https://ah.lib.nccu.edu.tw/handle/140.119/85498
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dc.contributor.advisor郎冰瑩zh_TW
dc.contributor.advisorLin, Bin-Yingen_US
dc.contributor.author朱正中zh_TW
dc.contributor.authorChu, Cheng-Chungen_US
dc.creator朱正中zh_TW
dc.creatorChu, Cheng-Chungen_US
dc.date2000en_US
dc.date.accessioned2016-04-18T08:31:48Z-
dc.date.available2016-04-18T08:31:48Z-
dc.date.issued2016-04-18T08:31:48Z-
dc.identifierA2002001740en_US
dc.identifier.urihttp://nccur.lib.nccu.edu.tw/handle/140.119/85498-
dc.description碩士zh_TW
dc.description國立政治大學zh_TW
dc.description應用數學系zh_TW
dc.description86751008zh_TW
dc.description.abstract正交主效應計畫(Orthogonal main-effect plans)因可無相關地估計主效應，故常被應用於一般工業上作為篩選因子之用。然而，實驗通常費時耗財。因此，如何設計一個較經濟且有效的計劃是很重要的。回顧過去相關的研究，Jacroux (1992)提供了最小正交主效應計劃的充份條件及正交主效應計畫之最少實驗次數表(Jacroux 1992)，張純明(1998)針對此表提出修正與補充。在此，我們再次的補足此表。zh_TW
dc.description.abstractOrthogonal main-effect plans (OMEP`s), being able to estimate the main effects without correlation, are often employed in industrial situations for screening purpose. But experiments are expensive and time consuming. When an economical and efficient design is desired, a minimal orthogonal main-effect plans is a good choice. Jacroux (1992) derived a sufficient condition for OEMP`s to have minimal number of runs and provided a table of minimal OMEP run numbers. Chang (1998) corrected and supplemented the table. In this paper, we try to improve the table to its perfection.en_US
dc.description.tableofcontents封面頁\r\n證明書\r\n論文摘要\r\n目錄\r\n表目錄\r\nChapter 1 Introduction\r\nChapter 2 Minimal Orthogonal Main-Effect Plans\r\nChapter 3 Partially Replicated OMEP`s with 3 Factors\r\n3.1 The Case s1=ms2\r\n3.1.1 s1=s1 and s2=s2\r\n3.1.2 s1=s1 and s2>s2\r\n3.1.3 s1>s1 and s2=s2\r\n3.1.4 s1>s1 and s2>s2\r\n3.2 The Case s1≠=ms2\r\n3.2.1 s1=s1 and s2>s2\r\n3.2.2 s1>s1 and s2＝s2\r\n3.2.3 s1>s1 and s2>s2\r\nConcluding Remarks\r\nReferencezh_TW
dc.source.urihttp://thesis.lib.nccu.edu.tw/record/#A2002001740en_US
dc.subject正交主效應計畫zh_TW
dc.subjectOrthogonal main-effect plansen_US
dc.subjectReplicated runsen_US
dc.subjectFactorial plansen_US
dc.subjectLatin squareen_US
dc.subjectMutually orthogonal Latin squaresen_US
dc.titleConstruction of Minimal Partially Replicated Orthogonal Main-Effect Plans with 3 Factorsen_US
dc.typethesisen_US
dc.relation.reference英文文獻\r\nAddelman, S. (1962). Orthogonal main-effect plans for asymmetrical factorial experiments. Technometrics 4, 21-46.\r\nChang, C.M. (1998). Minimal orthogonal main-effect plans and partial repli-cation. Journal of statistical planning and inference 70, 167-179.\r\nJacroux, M. (1992). A note on the determination and construction of minimal orthogonal main-effect plans. Technometrics 34, 92-96.\r\nJacroux, M (1993). On the construction of minimal partially replicated ortho-gonal main-effect plans. Technometrics 35, 32-36.\r\nPigeon, J., McAllister, P.R. (1989). A note on partially replicated orthogonal main-effect plans. Technometrics 31, 249-251.\r\nPlackett, R.L. (1946). Some generalization in the multifactorial design. Biometrika 33, 328-332.zh_TW
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