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題名 主成份分析與其他統計分析之比較研究
作者 沈伊藤
貢獻者 魏應澤
沈伊藤
日期 1986
上傳時間 5-May-2016 15:55:05 (UTC+8)
參考文獻 參考資料
     1. Anderson, T.W. (1963): “Asymptotic theory for principal component analysis”, Ann. Math. Stat. 34: 122-148.
     2. Anderson, T.W. (1984): An introduction to multivariate statistical analysis, 2nd, pp. 451-479, 521-577. 華泰
     3. Cheng, D.C. & Harvey J.I. (1976): “Principal component estimators in regression analysis”, Rev. Econ. Stat. 58: 229-234.
     4. Daling, T.R. & Tamura, H. (1970): “Use or orthogonal factors for selection or variables in a regression eguation-An illustration”, Appl. Stat. 19: 260-268.
     5. Dillon, W.R. and Goldstein, M. (1984): Multivariate analysis, pp. 1-106 華泰書局
     6. Fomby, T.B., Hill, R.C., Johnson, S.R. (1978): “An optimal property of principal components in the context of restricted least squares”, JASA 73: 191-193.
     7. Gnanasesikan, R. (1977): Methods for statistical data analysis of multivariate observations, pp. 1-62, John Wiley & Sons, Inc.
     8. Goodnight, J & Wallace, T.D. (1972): “Operational techniques and tables for making weak MSE tests for restrictions in regressions”, Econometrica 40:699-709.
     9. Graybill, F.A. (1976): Theory and application of the linear model, pp. 171-225. 雙葉書廊
     10. Greenberg, E. (1975): “Minimum variance properties or principal component regression”, JASA 70: 194-197.
     11. Harmon, H.H. (1976): Modern factor analysis, 3ed, pp. 133-166, 278-299 The University of Chicago Press.
     12. Hill, R.C., Fomby, T.B., Johnson, S.R. (1977): “Component selection morms for principal components regression”, Comm. Stat. A8: 309-334.
     13. Johnson, R.A. & Wichern, D.W. (1982): Applied multivariate statistical analysis, pp. 361-457. 雙葉書廊
     14. Jolliffe, I.T. (1982): “A note on the use of principal components in regression”, Appl. Stat. 31: 300-303.
     15. Kendall, M.G. (1980): Multivariate analysis, pp. 1-29., 47-108, Charles Griffin & Commany LTD.
     16. Kshirsage, A.M. (1972): Multivariate analysis, pp. 424-468, Marcel Dekker, Inc.
     17. Mardin, K.V., Kent, J.T., Bibby, J.M. (1979): Multivariate analysis, pp.213-280. 華泰書局
     18. Massy, W.F. (1965): “Principal compoments regression in exploratory statistical research”, JASA 60: 234-256.
     19. Rao, C.R. (1963): “The use and interpretation of principal component analysis in applied research”, Sankhya 26: 329-358.
     20. Seper, G.A.F. (1984): Multivariate observations, John Wiley & sons, Inc.
     21. Toro-vizcarrondo, C. & Wallace, T.D. (1968): “A Test for the mean square error criterion for restrictions in linear regression”, JASA 63: 558-572.
     22. Wallace, T.D. & Toro-Vizcarrondo, C. (1969): “Tables for the mean square error test for exact linear restrictions in regression.” JASA 64: 1619-1663.
     23. Wallace, T.D. (1972): “Weaker criteria and tests for linear restrictions in regression”, Econometrica 40: 689-698.
     24. Weisberg, S. (1980): Applied linear regression, 華泰書局
     25. 教育科學研究室(1983): 研究報告之寫作方法與格式，淡江大學出版部
描述 碩士
國立政治大學
統計學系
資料來源 http://thesis.lib.nccu.edu.tw/record/#B2002006685
資料類型 thesis
dc.contributor.advisor 魏應澤zh_TW
dc.contributor.author (Authors) 沈伊藤zh_TW
dc.creator (作者) 沈伊藤zh_TW
dc.date (日期) 1986en_US
dc.date.accessioned 5-May-2016 15:55:05 (UTC+8)-
dc.date.available 5-May-2016 15:55:05 (UTC+8)-
dc.date.issued (上傳時間) 5-May-2016 15:55:05 (UTC+8)-
dc.identifier (Other Identifiers) B2002006685en_US
dc.identifier.uri (URI) http://nccur.lib.nccu.edu.tw/handle/140.119/91717-
dc.description (描述) 碩士zh_TW
dc.description (描述) 國立政治大學zh_TW
dc.description (描述) 統計學系zh_TW
dc.description.tableofcontents 目錄
     
     第一章 緒論………1
     第一節 引言………1
     第二節 本文結構………2
     第二章 主成份分析………3
     第一節 主成份之導出………3
     第二節 主成份之性質………6
     第三節 有關主成份之假設檢定………9
     第四節 主成份分析之推廣………12
     第五節 綜合討論………14
     第三章 因素分析………16
     第一節 直交因子模型………16
     第二節 主因子法………20
     第三節 因子直交轉軸………24
     第四節 因素分析與主成份分析之關係………30
     第四章 主成份?歸………32
     第一節 主成份?歸模式………32
     第二節 主成份刪除原則………36
     第三節 利用因子轉軸特性選擇變數………44
     第五章 實證─交通事故研究………46
     第一節 資料來源與描述………46
     第二節 主成份?歸結果討論………49
     第三節 變數選擇結果分析………52
     第六章 結論………58
     參考資料………60
     附錄A………63
     附錄B………70		zh_TW
dc.source.uri (資料來源) http://thesis.lib.nccu.edu.tw/record/#B2002006685en_US
dc.title (題名) 主成份分析與其他統計分析之比較研究zh_TW
dc.type (資料類型) thesisen_US
dc.relation.reference (參考文獻) 參考資料
     1. Anderson, T.W. (1963): “Asymptotic theory for principal component analysis”, Ann. Math. Stat. 34: 122-148.
     2. Anderson, T.W. (1984): An introduction to multivariate statistical analysis, 2nd, pp. 451-479, 521-577. 華泰
     3. Cheng, D.C. & Harvey J.I. (1976): “Principal component estimators in regression analysis”, Rev. Econ. Stat. 58: 229-234.
     4. Daling, T.R. & Tamura, H. (1970): “Use or orthogonal factors for selection or variables in a regression eguation-An illustration”, Appl. Stat. 19: 260-268.
     5. Dillon, W.R. and Goldstein, M. (1984): Multivariate analysis, pp. 1-106 華泰書局
     6. Fomby, T.B., Hill, R.C., Johnson, S.R. (1978): “An optimal property of principal components in the context of restricted least squares”, JASA 73: 191-193.
     7. Gnanasesikan, R. (1977): Methods for statistical data analysis of multivariate observations, pp. 1-62, John Wiley & Sons, Inc.
     8. Goodnight, J & Wallace, T.D. (1972): “Operational techniques and tables for making weak MSE tests for restrictions in regressions”, Econometrica 40:699-709.
     9. Graybill, F.A. (1976): Theory and application of the linear model, pp. 171-225. 雙葉書廊
     10. Greenberg, E. (1975): “Minimum variance properties or principal component regression”, JASA 70: 194-197.
     11. Harmon, H.H. (1976): Modern factor analysis, 3ed, pp. 133-166, 278-299 The University of Chicago Press.
     12. Hill, R.C., Fomby, T.B., Johnson, S.R. (1977): “Component selection morms for principal components regression”, Comm. Stat. A8: 309-334.
     13. Johnson, R.A. & Wichern, D.W. (1982): Applied multivariate statistical analysis, pp. 361-457. 雙葉書廊
     14. Jolliffe, I.T. (1982): “A note on the use of principal components in regression”, Appl. Stat. 31: 300-303.
     15. Kendall, M.G. (1980): Multivariate analysis, pp. 1-29., 47-108, Charles Griffin & Commany LTD.
     16. Kshirsage, A.M. (1972): Multivariate analysis, pp. 424-468, Marcel Dekker, Inc.
     17. Mardin, K.V., Kent, J.T., Bibby, J.M. (1979): Multivariate analysis, pp.213-280. 華泰書局
     18. Massy, W.F. (1965): “Principal compoments regression in exploratory statistical research”, JASA 60: 234-256.
     19. Rao, C.R. (1963): “The use and interpretation of principal component analysis in applied research”, Sankhya 26: 329-358.
     20. Seper, G.A.F. (1984): Multivariate observations, John Wiley & sons, Inc.
     21. Toro-vizcarrondo, C. & Wallace, T.D. (1968): “A Test for the mean square error criterion for restrictions in linear regression”, JASA 63: 558-572.
     22. Wallace, T.D. & Toro-Vizcarrondo, C. (1969): “Tables for the mean square error test for exact linear restrictions in regression.” JASA 64: 1619-1663.
     23. Wallace, T.D. (1972): “Weaker criteria and tests for linear restrictions in regression”, Econometrica 40: 689-698.
     24. Weisberg, S. (1980): Applied linear regression, 華泰書局
     25. 教育科學研究室(1983): 研究報告之寫作方法與格式，淡江大學出版部		zh_TW