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題名 影響共線性之觀察值的診斷
Diagnosing collinearity-influential observations
作者 陳明義
Chen, Ming I
貢獻者 宋傳欽
Sung, Chuan Chin
陳明義
Chen, Ming I
關鍵詞 共線性
槓桿值
條件數
collinearity
leverage
condition number
日期 1993
上傳時間 29-Apr-2016 16:32:27 (UTC+8)
摘要 給定一個設計矩陣X,當從X刪去一列或數列以後,X的特徵結構可能產生很
參考文獻 [1] Belsley, D. A. (1990), Conditioning Diagnostics: Collinearity and Weak Data in Regression, New York: John Wiley & Sons.
     [2] Griffiths, L.W. (1950), Introduction to the theory of Equations (2nd ed),Associate Professor of Mathematics Northwestern University.
     [3] Groebner, D. F. and P. W. Shannon, (1989), Bussiness Statistics Adecision – Making Approach (3rd ed), Merrill.
     [4] Gunst,R.F. and R.L. Mason(1980),Regression Analysis and its Appli-cation:A data – Oriented Approach, Marcel Dekker,New York.
     [5] Hadi,A.S. (1988),Diagnosing collinearity-influential observations, Computational Statistics & Data Analysis7, 143-159.
     [6] Hadi,A.S. and M.T.Wells (1990),Assessing the Effects of Multiple Rows on the Condition Index of a Matrix ,Journal of the American Statistical Association85, 786-792.
     
     [7] Hoaglin,D.C. and R.E. Welsch (1978), The hat matrix in regression and ANOVA,The American Statistican32,17-22.
     [8] Kutner,M.H. ,J.Neter ,and W.Wasserman (1990),Applied Linear Sta-tistical Models(3rd ed),R.R.Donnelley & Sons Company.
     [9] McCann,R.C. (1984), Introduction to Linear Algebra, Harcourt Brace Jonanovich, New York.
     [10] Rao,C.R. (1965),Linear Statisticial Inference and Its Applications, New York:John Wiley & Sons.
     [11] Walker,E. (1989),Datection of Collinearity-Influential Observations, Communications in Statistics, Theory and Methods 18(5),1975-1690.
描述 碩士
國立政治大學
應用數學系
795804
資料來源 http://thesis.lib.nccu.edu.tw/record/#B2002004236
資料類型 thesis
dc.contributor.advisor 宋傳欽zh_TW
dc.contributor.advisor Sung, Chuan Chinen_US
dc.contributor.author (Authors) 陳明義zh_TW
dc.contributor.author (Authors) Chen, Ming Ien_US
dc.creator (作者) 陳明義zh_TW
dc.creator (作者) Chen, Ming Ien_US
dc.date (日期) 1993en_US
dc.date.accessioned 29-Apr-2016 16:32:27 (UTC+8)-
dc.date.available 29-Apr-2016 16:32:27 (UTC+8)-
dc.date.issued (上傳時間) 29-Apr-2016 16:32:27 (UTC+8)-
dc.identifier (Other Identifiers) B2002004236en_US
dc.identifier.uri (URI) http://nccur.lib.nccu.edu.tw/handle/140.119/88739-
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) 795804zh_TW
dc.description.abstract (摘要) 給定一個設計矩陣X,當從X刪去一列或數列以後,X的特徵結構可能產生很zh_TW
dc.description.tableofcontents 第一章 緒論﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒1
     第一節：前言﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒1
     第二節：本文架構﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒1
     
     第二章 線性回歸模式中的帽子矩陣﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒3
     第一節：共線性的簡介﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒3
     第二節：槓桿值的基本性質﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒4
     第三節：刪去一列觀察值隊貢獻的影響﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒5
     第四節：刪去m列觀察值隊貢獻性的影響﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒6
     
     第三章 影響共線性之觀察值的診斷﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒8
     第一節：條件數的介紹﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒8
     第二節：刪去一列觀察值之條件數﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒9
     第三節：刪去m列觀察值之條件數﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒15
     第四節：應用條件數診斷共線性的方法﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒17
     
     第四章 實例應用﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒18
     第一節：實例說明與分析﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒18
     第二節：結論﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒21
     
     附錄﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒26
     
     參考文獻﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒﹒32		zh_TW
dc.source.uri (資料來源) http://thesis.lib.nccu.edu.tw/record/#B2002004236en_US
dc.subject (關鍵詞) 共線性zh_TW
dc.subject (關鍵詞) 槓桿值zh_TW
dc.subject (關鍵詞) 條件數zh_TW
dc.subject (關鍵詞) collinearityen_US
dc.subject (關鍵詞) leverageen_US
dc.subject (關鍵詞) condition numberen_US
dc.title (題名) 影響共線性之觀察值的診斷zh_TW
dc.title (題名) Diagnosing collinearity-influential observationsen_US
dc.type (資料類型) thesisen_US
dc.relation.reference (參考文獻) [1] Belsley, D. A. (1990), Conditioning Diagnostics: Collinearity and Weak Data in Regression, New York: John Wiley & Sons.
     [2] Griffiths, L.W. (1950), Introduction to the theory of Equations (2nd ed),Associate Professor of Mathematics Northwestern University.
     [3] Groebner, D. F. and P. W. Shannon, (1989), Bussiness Statistics Adecision – Making Approach (3rd ed), Merrill.
     [4] Gunst,R.F. and R.L. Mason(1980),Regression Analysis and its Appli-cation:A data – Oriented Approach, Marcel Dekker,New York.
     [5] Hadi,A.S. (1988),Diagnosing collinearity-influential observations, Computational Statistics & Data Analysis7, 143-159.
     [6] Hadi,A.S. and M.T.Wells (1990),Assessing the Effects of Multiple Rows on the Condition Index of a Matrix ,Journal of the American Statistical Association85, 786-792.
     
     [7] Hoaglin,D.C. and R.E. Welsch (1978), The hat matrix in regression and ANOVA,The American Statistican32,17-22.
     [8] Kutner,M.H. ,J.Neter ,and W.Wasserman (1990),Applied Linear Sta-tistical Models(3rd ed),R.R.Donnelley & Sons Company.
     [9] McCann,R.C. (1984), Introduction to Linear Algebra, Harcourt Brace Jonanovich, New York.
     [10] Rao,C.R. (1965),Linear Statisticial Inference and Its Applications, New York:John Wiley & Sons.
     [11] Walker,E. (1989),Datection of Collinearity-Influential Observations, Communications in Statistics, Theory and Methods 18(5),1975-1690.		zh_TW