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題名 因子分析中決定適當因子數 : EM演算法與AIC、CAIC之應用
作者 洪淑玲
HONG, SHU-LING
貢獻者 張健邦
洪淑玲
HONG, SHU-LING
日期 1992
1991
上傳時間 2-May-2016 15:17:21 (UTC+8)
參考文獻 [1] Akaike,H.(1987). "Factor Analysis and AIC". Psychometrika, 52,317-332.
     [2] Anderson,T.W.(1984). "An Introduction to Multivariate Statistical Analysis" .New York: Wiley.
     [3] Bhansali,R.J. & Downham,D.Y.(1977). "Some properites of the order of an Autoregressive model selected by a Generalization of Akaike`s FPE
     criterion". Biometrika,64,54 7-551.
     [4] Bozdogan,H.(1987). "Model Selection and Akaike`s Information Criterion (AIC): The General Theory and its Analysical Extensions". Psychometrika,52,345-370.
     [5] Bozdogan,H. & Ramirez ,D.E.(1988). "FACAIC : Model Selection Algorithm for the Orthogonal Factor Model Using AIC and CAIC". Psychometrika,53, 407-415.
     [6] Davis,M.H. & Vinter,R.B.(1985). Stochastic modelling and control. New York : Chapman and Hall.
     [7] Dempster,A.P.,Laird,N.M. & Rubin ,D.B.(1977). "Maximum likelihood from Incomplete data via the EM algorithm". J. R. Statist. Soc. B,39, 1-38.
     [8] Dillon,W.R. & Goldstein,M.(1984). Multivariate Analysis,華泰書局，台北.
     [9] Gorsuch,R.L.(1983). Factor Analysis,Hillsdale,New Jersey.
     [10] Green, J .(1990). "On Use of the EM Algorithm for Penalized Likelihood Estimation". J. R. Statist. Soc . B, 52, 443-452.
     [11] Hanna, E.J. & Quinn, B.G.(1979). "The Determination of the Order of an Autoregression". J. R. Statist. Soc. B, 41, 190-210.
     [12] Harman,H.(1976). Modern Factor Analysis. Chicago: University of Chicago Press.
     [13] Johnson,R.A. & Wichern,D.W.(19SS). Applied Muitivariate Statistical Analysis. Prentice-Hall Inc., New Jersey.
     [14] Kendall, M.G. & Stuart, M.A.(1967). The Advanced Theroy of Statistics, New York: Hafner Publishing.
     [15] Maxwell, A.E.(1961). "Recent trends in Factor Analysis". J. R. Ststist. Soc. A, 124,49-59.
     [16] Meilijson (19S9). "A Fast Improvement to the Em Algorithm on its Own Terms" . J. R. Statist. Soc. B,52,127-138.
     [17] Morrison,D.F.(lg90). Multivariate Statistical Methods. New York: McGraw-Hill.
     [18] Mulaik,S.A.(1972). The Foundations of Factor Analysis. New Jersey.
     [19] Nychka,D.W.(1990). "Some Properties of Adding a Smoothing Step to the EM Algorithm". Statistics & Probability Letters,9 .187-193.
     [20] Rubin,D.B. & Thayer,D.T.(1982). "EM Algorithms for ML Factor Analysis" . Psychometrika,34,69-76.
     [21] Ruud,P.A.(1991). "Extensions of Estimation Methods using the EM algorithm" . Journal of Econometrics,49,305-341.
     [22] SAS/STAT User`s Guide,1988.
     [23] SAS/IML User`s Guide,1988.
     [24] SAS Guide to Macro Processing,1990.
     [25] Sakamoto,K.,Ishiguro,M. & Kitagawa,G.(1989). "Review of Akaike Information Criterion Ststistics" . Psychometrika,54,539-541.
     [26] Silverman,B.W. et.al.(1990). "A Smoothed EM Approach to Indirected Estimation Problems ,with Particular Reference to Stereology and Emission Tomogroaphy". J. R. Statist. Soc. B,52,271-324.
     [27] Schwarz,G.(1978). "Estimating the Dimension of a Model". A nnals of Statistics,6,461-464.
     [28] Stone,M.(1977). "On Asymptotic Equivalenc of Choice of Model by Cross-Validation and Akaike`s Criterion". J. R. Statist. Soc. B,39,44-47.
     [29] Woodroofe,M.(1982). "On Model Selection and the Arc Sine Laws" Annals of Statistics,10, 1182-1194.
     [30]林清山，多變項分析統計法，東華書局，民國69年初版.
     [31]黃俊英著，多變量分析，華泰書局，民國75年二版.
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/#B2002004649
資料類型 thesis
dc.contributor.advisor 張健邦zh_TW
dc.contributor.author (Authors) 洪淑玲zh_TW
dc.contributor.author (Authors) HONG, SHU-LINGen_US
dc.creator (作者) 洪淑玲zh_TW
dc.creator (作者) HONG, SHU-LINGen_US
dc.date (日期) 1992en_US
dc.date (日期) 1991en_US
dc.date.accessioned 2-May-2016 15:17:21 (UTC+8)-
dc.date.available 2-May-2016 15:17:21 (UTC+8)-
dc.date.issued (上傳時間) 2-May-2016 15:17:21 (UTC+8)-
dc.identifier (Other Identifiers) B2002004649en_US
dc.identifier.uri (URI) http://nccur.lib.nccu.edu.tw/handle/140.119/89238-
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 1、 緒論.....................1
     1. 1 研究動機與目的..................... 1
     1. 2 研究方法摘要..................... 2
     1. 3 章節架構..................... 3
     2、 文獻回顧..................... 4
     2.1 因子分析..................... 4
     2.2 EM演算法..................... 7
     2.3 AIC與CAIC ..................... 10
     3、 EM 演算法與AIC、CAIC 於因子分析之應用..................... 14
     3.1 因子分析方法..................... 14
     3.2 EM演算法之基本理論..................... 22
     3.3 EM演算法於因子分析之應用..................... 24
     3.4 AIC 與CAIC 之基本理論.....................29
     3.5 利用AIC 與CAIC 決定適當因子數..................... 37
     4、 實例說明..................... 39
     4.1 分析流程..................... 39
     4.2 資料來源與描述..................... 41
     4.3 計算結果與討論.....................43
     5、 結論..................... 52
     5.1 研究發現..................... 52
     5.2 研究限制..................... 52
     5.3 後續研究方向..................... 53
     參考文獻		zh_TW
dc.source.uri (資料來源) http://thesis.lib.nccu.edu.tw/record/#B2002004649en_US
dc.title (題名) 因子分析中決定適當因子數 : EM演算法與AIC、CAIC之應用zh_TW
dc.type (資料類型) thesisen_US
dc.relation.reference (參考文獻) [1] Akaike,H.(1987). "Factor Analysis and AIC". Psychometrika, 52,317-332.
     [2] Anderson,T.W.(1984). "An Introduction to Multivariate Statistical Analysis" .New York: Wiley.
     [3] Bhansali,R.J. & Downham,D.Y.(1977). "Some properites of the order of an Autoregressive model selected by a Generalization of Akaike`s FPE
     criterion". Biometrika,64,54 7-551.
     [4] Bozdogan,H.(1987). "Model Selection and Akaike`s Information Criterion (AIC): The General Theory and its Analysical Extensions". Psychometrika,52,345-370.
     [5] Bozdogan,H. & Ramirez ,D.E.(1988). "FACAIC : Model Selection Algorithm for the Orthogonal Factor Model Using AIC and CAIC". Psychometrika,53, 407-415.
     [6] Davis,M.H. & Vinter,R.B.(1985). Stochastic modelling and control. New York : Chapman and Hall.
     [7] Dempster,A.P.,Laird,N.M. & Rubin ,D.B.(1977). "Maximum likelihood from Incomplete data via the EM algorithm". J. R. Statist. Soc. B,39, 1-38.
     [8] Dillon,W.R. & Goldstein,M.(1984). Multivariate Analysis,華泰書局，台北.
     [9] Gorsuch,R.L.(1983). Factor Analysis,Hillsdale,New Jersey.
     [10] Green, J .(1990). "On Use of the EM Algorithm for Penalized Likelihood Estimation". J. R. Statist. Soc . B, 52, 443-452.
     [11] Hanna, E.J. & Quinn, B.G.(1979). "The Determination of the Order of an Autoregression". J. R. Statist. Soc. B, 41, 190-210.
     [12] Harman,H.(1976). Modern Factor Analysis. Chicago: University of Chicago Press.
     [13] Johnson,R.A. & Wichern,D.W.(19SS). Applied Muitivariate Statistical Analysis. Prentice-Hall Inc., New Jersey.
     [14] Kendall, M.G. & Stuart, M.A.(1967). The Advanced Theroy of Statistics, New York: Hafner Publishing.
     [15] Maxwell, A.E.(1961). "Recent trends in Factor Analysis". J. R. Ststist. Soc. A, 124,49-59.
     [16] Meilijson (19S9). "A Fast Improvement to the Em Algorithm on its Own Terms" . J. R. Statist. Soc. B,52,127-138.
     [17] Morrison,D.F.(lg90). Multivariate Statistical Methods. New York: McGraw-Hill.
     [18] Mulaik,S.A.(1972). The Foundations of Factor Analysis. New Jersey.
     [19] Nychka,D.W.(1990). "Some Properties of Adding a Smoothing Step to the EM Algorithm". Statistics & Probability Letters,9 .187-193.
     [20] Rubin,D.B. & Thayer,D.T.(1982). "EM Algorithms for ML Factor Analysis" . Psychometrika,34,69-76.
     [21] Ruud,P.A.(1991). "Extensions of Estimation Methods using the EM algorithm" . Journal of Econometrics,49,305-341.
     [22] SAS/STAT User`s Guide,1988.
     [23] SAS/IML User`s Guide,1988.
     [24] SAS Guide to Macro Processing,1990.
     [25] Sakamoto,K.,Ishiguro,M. & Kitagawa,G.(1989). "Review of Akaike Information Criterion Ststistics" . Psychometrika,54,539-541.
     [26] Silverman,B.W. et.al.(1990). "A Smoothed EM Approach to Indirected Estimation Problems ,with Particular Reference to Stereology and Emission Tomogroaphy". J. R. Statist. Soc. B,52,271-324.
     [27] Schwarz,G.(1978). "Estimating the Dimension of a Model". A nnals of Statistics,6,461-464.
     [28] Stone,M.(1977). "On Asymptotic Equivalenc of Choice of Model by Cross-Validation and Akaike`s Criterion". J. R. Statist. Soc. B,39,44-47.
     [29] Woodroofe,M.(1982). "On Model Selection and the Arc Sine Laws" Annals of Statistics,10, 1182-1194.
     [30]林清山，多變項分析統計法，東華書局，民國69年初版.
     [31]黃俊英著，多變量分析，華泰書局，民國75年二版.		zh_TW