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題名 Construction of Minimal Partially Replicated Orthogonal Main-Effect Plans with 3 Factors
作者 朱正中
Chu, Cheng-Chung
貢獻者 郎冰瑩
Lin, Bin-Ying
朱正中
Chu, Cheng-Chung
關鍵詞 正交主效應計畫
Orthogonal main-effect plans
Replicated runs
Factorial plans
Latin square
Mutually orthogonal Latin squares
日期 2000
上傳時間 18-四月-2016 16:31:48 (UTC+8)
摘要 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。
Orthogonal 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.
參考文獻 英文文獻
     Addelman, S. (1962). Orthogonal main-effect plans for asymmetrical factorial experiments. Technometrics 4, 21-46.
     Chang, C.M. (1998). Minimal orthogonal main-effect plans and partial repli-cation. Journal of statistical planning and inference 70, 167-179.
     Jacroux, M. (1992). A note on the determination and construction of minimal orthogonal main-effect plans. Technometrics 34, 92-96.
     Jacroux, M (1993). On the construction of minimal partially replicated ortho-gonal main-effect plans. Technometrics 35, 32-36.
     Pigeon, J., McAllister, P.R. (1989). A note on partially replicated orthogonal main-effect plans. Technometrics 31, 249-251.
     Plackett, R.L. (1946). Some generalization in the multifactorial design. Biometrika 33, 328-332.
描述 碩士
國立政治大學
應用數學系
86751008
資料來源 http://thesis.lib.nccu.edu.tw/record/#A2002001740
資料類型 thesis
dc.contributor.advisor 郎冰瑩zh_TW
dc.contributor.advisor Lin, Bin-Yingen_US
dc.contributor.author (作者) 朱正中zh_TW
dc.contributor.author (作者) Chu, Cheng-Chungen_US
dc.creator (作者) 朱正中zh_TW
dc.creator (作者) Chu, Cheng-Chungen_US
dc.date (日期) 2000en_US
dc.date.accessioned 18-四月-2016 16:31:48 (UTC+8)-
dc.date.available 18-四月-2016 16:31:48 (UTC+8)-
dc.date.issued (上傳時間) 18-四月-2016 16:31:48 (UTC+8)-
dc.identifier (其他 識別碼) A2002001740en_US
dc.identifier.uri (URI) http://nccur.lib.nccu.edu.tw/handle/140.119/85498-
dc.description (描述) 碩士zh_TW
dc.description (描述) 國立政治大學zh_TW
dc.description (描述) 應用數學系zh_TW
dc.description (描述) 86751008zh_TW
dc.description.abstract (摘要) 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.abstract (摘要) Orthogonal 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
     證明書
     論文摘要
     目錄
     表目錄
     Chapter 1 Introduction
     Chapter 2 Minimal Orthogonal Main-Effect Plans
     Chapter 3 Partially Replicated OMEP`s with 3 Factors
     3.1 The Case s1=ms2
     3.1.1 s1=s1 and s2=s2
     3.1.2 s1=s1 and s2>s2
     3.1.3 s1>s1 and s2=s2
     3.1.4 s1>s1 and s2>s2
     3.2 The Case s1≠=ms2
     3.2.1 s1=s1 and s2>s2
     3.2.2 s1>s1 and s2=s2
     3.2.3 s1>s1 and s2>s2
     Concluding Remarks
     Reference
zh_TW
dc.source.uri (資料來源) http://thesis.lib.nccu.edu.tw/record/#A2002001740en_US
dc.subject (關鍵詞) 正交主效應計畫zh_TW
dc.subject (關鍵詞) Orthogonal main-effect plansen_US
dc.subject (關鍵詞) Replicated runsen_US
dc.subject (關鍵詞) Factorial plansen_US
dc.subject (關鍵詞) Latin squareen_US
dc.subject (關鍵詞) Mutually orthogonal Latin squaresen_US
dc.title (題名) Construction of Minimal Partially Replicated Orthogonal Main-Effect Plans with 3 Factorsen_US
dc.type (資料類型) thesisen_US
dc.relation.reference (參考文獻) 英文文獻
     Addelman, S. (1962). Orthogonal main-effect plans for asymmetrical factorial experiments. Technometrics 4, 21-46.
     Chang, C.M. (1998). Minimal orthogonal main-effect plans and partial repli-cation. Journal of statistical planning and inference 70, 167-179.
     Jacroux, M. (1992). A note on the determination and construction of minimal orthogonal main-effect plans. Technometrics 34, 92-96.
     Jacroux, M (1993). On the construction of minimal partially replicated ortho-gonal main-effect plans. Technometrics 35, 32-36.
     Pigeon, J., McAllister, P.R. (1989). A note on partially replicated orthogonal main-effect plans. Technometrics 31, 249-251.
     Plackett, R.L. (1946). Some generalization in the multifactorial design. Biometrika 33, 328-332.
zh_TW