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題名 複雜抽樣下反應變數遺漏時之迴歸分析
Regression Analysis with Missing Value of Responses under Complex Survey作者 許正宏
Hsu, Cheng-Hung貢獻者 陳麗霞
許正宏
Hsu, Cheng-Hung關鍵詞 分層抽樣
群集抽樣
遺漏值
多重設算
單調資料型態
階層模式
stratified sampling
cluster sampling
missing value
multiple imputation
monotone data pattern
hierarchical model日期 2000 上傳時間 31-Mar-2016 14:44:33 (UTC+8) 摘要 Gelman, King, 及Liu(1998)針對一連串且互相獨立的橫斷面調查提出多重設算程序，且對不同調查的參數以階層模式(hierarchical model)連結。本文為介紹複雜抽樣(分層或群集抽樣)之下，若Q個連續變數有遺漏現象時，如何結合對象之個別特性，各層或各群集的參數，以及連結各層或各群集參數的階層模式，以設算遺漏值及估計模式中之參數。
Gelman, king, and Liu (1998) use multiple imputation for a series of cross section survey, and link the parameter of different survey by hierarchical model. This text introduces a method to impute missing value and estimate the parameters affected by hierarchical model if Q continuous variables has missing value under complex survey.參考文獻 一、中文部分[1] 鄭光甫、韋端(1993),抽樣方法- 理論與實際,台北市三民出版社。二、英文部分[2] An,A.B.,(1996), Regression estimation for finite population means in the presence of nonresponse. A Dissertation Submitted to the Graduate Faculty in Partial Fullillment of the Requirements for the Degree of DOCTOR OF PHILOSOPHY.[3] Chapman,D.W.(1976), A Survey of nonreoponse imputation procedures." American Statistical Association Proceedings of the Social Statistical Section 1976(Part 1):245-51[4] Dempster,A.P.,Laird,N.M.,and Rubin,D.B.(1977), Maximum Likelihood estimation from incomplete data via the EM Algorithm (with discussion), Jornal of the Royal Statistical Society,Series B,39,1-38.[5] DuMouchel,W.H,and Duncha,G.J.(1983), Using sample survey weights in multiple regression analysis of stratified samples.Jornal of the American Statistical Association,78,535-543.[6] Gelfand, A. E. and Smith, A. F. M.(1990), Sampling-Based Approaches to Calculating Marginal Densities, Jornal of the American Statistical Association, 85, 398-409.[7] Geman, D. and Geman, S. (1984), Stochastic Relaxation, Gibbs Distributions, and the Bayesian Reconstruction of Images, IEEE Transactions on Pattern Analysis and Machine Intelligence, 6, 721-741.[8] Gilks,W.R.,Richardson,S.,and Spiegelhalter,D.J.(1996), Markov Chain Monte Carlo in Practice.Chapman & Hall.[9] Gelman,A.,King,G.,and Liu,C.(1998), Not asked and not answered: multiple imputation for multiple surveys. Jornal of the American Statistical Association,Vol.93,846-857.[10] Hartley,H.O.and R.R.Hocking.(1971), The analysis of incomplete data. Biometrics ,27,783-808.[11] Jinn,J.H.andJ.Sedransk.(1989), Effect on secondary data analysis of common imputation methods.Sociological Methodology 19:213-41.[12] Kalton,Graham and Daniel Kasprzyk.(1982). Imputing for missing survey responses. Proceedings of the Survey Research Methods Section American Statistical Association[13] Kalton,Graham and Daniel Kasprzyk. (1986). The treatment of missing survey data." Survey Methodology 12: 1-16.[14] Little,R.J.A.,and Rubin,D.B.(1987), Statistical Analysis With Missing Data.New York:John Wiley & Sons.[15] Little,R.J.A.,and Rubin,D.B.(1989-90), The analysis of social science data with missing values. Sociological Methods and Research 18(2-3): 292-326.[16] Liu,Chuanhai.(1993), Bartlett`s Decomposition of the posterior distribution of the covariance for normal monotone ignorable missing data. Jornal of Multivariate Analysis 46,198-206.[17] Madow,W.G.,I.Olkin,and D.B.Rubin,(1983), Incomplete Data In Sample Survey,Vol.I,II,III.New York:Academic Press.[18] Muirhead,R.J(1982), Aspects of Multivariate Statistical Theory. New York: Wiley[19] Raymond,M.R. and Roberts,D.M.(1983), Development and validation of a foreign language attitude scale.Educational and Psychological Measurement,43, 1239-1246.[20] Roderick,J.A.Little.(1992), Regression with missing X`s :a review. Jornal of the American Statistical Association,Vol.87,NO.420,pp.1227-1237.[21] Robins,J.M.,Rotnitzky,A.,and Zhao,L.P.(1994), Estimation of regression coefficients when some regressors are not always observed. Jornal of the American Statistical Association,Vol.89,NO.427,pp.846-866.[22] Rubin,D.B.(1987), Multiple Imputation for Nonresponse in Surveys. New York: Wiley[23] Rubin,D.B.(1976), Inference and missing data.Biometrika,63,3,pp.581-92.[24] Rubin,D.B.and Schafer,J.L.(1990), Efficiently creating multiple imputations for incomplete multivariate normal data." In Proceedings of the Statistical Computing Section of the American Statistical Association.pp.83-88.[25] Schafer,J.L.(1997), Analysis of Incomplete Multivariate .Data.New York.[26] Skinner,C.J,Holt,D.,and Smith.T.M.F.(1989), Analysis of Complex Surveys. New York:Wiley.[27] Skinner,C.J.,and Coker,O.(1996), Regression analysis for complex survey data with missing values of a covariate.J.R.Statist.Soc.A.159,part 2,pp. 265-274.[28] Wu,C.F.(1985), Variance estimation for the combined ratio and combined regression estimators.Journal of the Royal StatisticalSociety,B47,147-154.[29] Weisberg,Sanford.(1985), Applied Linear Regression. New York:John Wiley & Sons.[30] Zhao,L.P.,Lipsitz,S.,and Lew,D.(1996), Regression analysis with missing covariate data using estimating equations.Biometrics 52,1165-1182. 描述 碩士
國立政治大學
統計學系
86354010資料來源 http://thesis.lib.nccu.edu.tw/record/#A2002001934 資料類型 thesis dc.contributor.advisor 陳麗霞 zh_TW dc.contributor.author (Authors) 許正宏 zh_TW dc.contributor.author (Authors) Hsu, Cheng-Hung en_US dc.creator (作者) 許正宏 zh_TW dc.creator (作者) Hsu, Cheng-Hung en_US dc.date (日期) 2000 en_US dc.date.accessioned 31-Mar-2016 14:44:33 (UTC+8) - dc.date.available 31-Mar-2016 14:44:33 (UTC+8) - dc.date.issued (上傳時間) 31-Mar-2016 14:44:33 (UTC+8) - dc.identifier (Other Identifiers) A2002001934 en_US dc.identifier.uri (URI) http://nccur.lib.nccu.edu.tw/handle/140.119/83241 - 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 (描述) 86354010 zh_TW dc.description.abstract (摘要) Gelman, King, 及Liu(1998)針對一連串且互相獨立的橫斷面調查提出多重設算程序，且對不同調查的參數以階層模式(hierarchical model)連結。本文為介紹複雜抽樣(分層或群集抽樣)之下，若Q個連續變數有遺漏現象時，如何結合對象之個別特性，各層或各群集的參數，以及連結各層或各群集參數的階層模式，以設算遺漏值及估計模式中之參數。 zh_TW dc.description.abstract (摘要) Gelman, king, and Liu (1998) use multiple imputation for a series of cross section survey, and link the parameter of different survey by hierarchical model. This text introduces a method to impute missing value and estimate the parameters affected by hierarchical model if Q continuous variables has missing value under complex survey. en_US dc.description.tableofcontents 封面頁證明書致謝詞論文摘要目錄第一章 緒論1.1 研究動機與目的1.2 複雜抽樣與遺漏值之處理1.2.1 複雜抽樣1.2.1.1 群集抽樣1.2.1.2 分層抽樣1.2.2 遺漏值之處理1.2.2.1 遺漏結構1.2.2.2 遺漏值的處理方式1.3 全文架構第二章 迴歸分析與單調型態資料的遺漏值處理2.1 迴歸分析2.1.1 多元迴歸分析2.1.2 多變量迴歸分析2.2 單調型態的遺漏資料2.2.1 符號與假設2.2.2 單調型態的遺漏資料2.2.3 不完整單調型態的遺漏資料2.3 單調資料擴展演算法2.3.1 群集內解釋變數值相同的情況2.3.1.1 階層模式2.3.1.2 模擬計算2.3.2 群集內解釋變數值相異的情況2.3.2.1 階層模式2.3.2.2 模擬計算第三章 實例研究3.1 簡介3.2 模擬結果第四章 結論參考文獻電腦程式資料 zh_TW dc.source.uri (資料來源) http://thesis.lib.nccu.edu.tw/record/#A2002001934 en_US dc.subject (關鍵詞) 分層抽樣 zh_TW dc.subject (關鍵詞) 群集抽樣 zh_TW dc.subject (關鍵詞) 遺漏值 zh_TW dc.subject (關鍵詞) 多重設算 zh_TW dc.subject (關鍵詞) 單調資料型態 zh_TW dc.subject (關鍵詞) 階層模式 zh_TW dc.subject (關鍵詞) stratified sampling en_US dc.subject (關鍵詞) cluster sampling en_US dc.subject (關鍵詞) missing value en_US dc.subject (關鍵詞) multiple imputation en_US dc.subject (關鍵詞) monotone data pattern en_US dc.subject (關鍵詞) hierarchical model en_US dc.title (題名) 複雜抽樣下反應變數遺漏時之迴歸分析 zh_TW dc.title (題名) Regression Analysis with Missing Value of Responses under Complex Survey en_US dc.type (資料類型) thesis en_US dc.relation.reference (參考文獻) 一、中文部分[1] 鄭光甫、韋端(1993),抽樣方法- 理論與實際,台北市三民出版社。二、英文部分[2] An,A.B.,(1996), Regression estimation for finite population means in the presence of nonresponse. A Dissertation Submitted to the Graduate Faculty in Partial Fullillment of the Requirements for the Degree of DOCTOR OF PHILOSOPHY.[3] Chapman,D.W.(1976), A Survey of nonreoponse imputation procedures." American Statistical Association Proceedings of the Social Statistical Section 1976(Part 1):245-51[4] Dempster,A.P.,Laird,N.M.,and Rubin,D.B.(1977), Maximum Likelihood estimation from incomplete data via the EM Algorithm (with discussion), Jornal of the Royal Statistical Society,Series B,39,1-38.[5] DuMouchel,W.H,and Duncha,G.J.(1983), Using sample survey weights in multiple regression analysis of stratified samples.Jornal of the American Statistical Association,78,535-543.[6] Gelfand, A. E. and Smith, A. F. M.(1990), Sampling-Based Approaches to Calculating Marginal Densities, Jornal of the American Statistical Association, 85, 398-409.[7] Geman, D. and Geman, S. (1984), Stochastic Relaxation, Gibbs Distributions, and the Bayesian Reconstruction of Images, IEEE Transactions on Pattern Analysis and Machine Intelligence, 6, 721-741.[8] Gilks,W.R.,Richardson,S.,and Spiegelhalter,D.J.(1996), Markov Chain Monte Carlo in Practice.Chapman & Hall.[9] Gelman,A.,King,G.,and Liu,C.(1998), Not asked and not answered: multiple imputation for multiple surveys. Jornal of the American Statistical Association,Vol.93,846-857.[10] Hartley,H.O.and R.R.Hocking.(1971), The analysis of incomplete data. Biometrics ,27,783-808.[11] Jinn,J.H.andJ.Sedransk.(1989), Effect on secondary data analysis of common imputation methods.Sociological Methodology 19:213-41.[12] Kalton,Graham and Daniel Kasprzyk.(1982). Imputing for missing survey responses. Proceedings of the Survey Research Methods Section American Statistical Association[13] Kalton,Graham and Daniel Kasprzyk. (1986). The treatment of missing survey data." Survey Methodology 12: 1-16.[14] Little,R.J.A.,and Rubin,D.B.(1987), Statistical Analysis With Missing Data.New York:John Wiley & Sons.[15] Little,R.J.A.,and Rubin,D.B.(1989-90), The analysis of social science data with missing values. Sociological Methods and Research 18(2-3): 292-326.[16] Liu,Chuanhai.(1993), Bartlett`s Decomposition of the posterior distribution of the covariance for normal monotone ignorable missing data. Jornal of Multivariate Analysis 46,198-206.[17] Madow,W.G.,I.Olkin,and D.B.Rubin,(1983), Incomplete Data In Sample Survey,Vol.I,II,III.New York:Academic Press.[18] Muirhead,R.J(1982), Aspects of Multivariate Statistical Theory. New York: Wiley[19] Raymond,M.R. and Roberts,D.M.(1983), Development and validation of a foreign language attitude scale.Educational and Psychological Measurement,43, 1239-1246.[20] Roderick,J.A.Little.(1992), Regression with missing X`s :a review. Jornal of the American Statistical Association,Vol.87,NO.420,pp.1227-1237.[21] Robins,J.M.,Rotnitzky,A.,and Zhao,L.P.(1994), Estimation of regression coefficients when some regressors are not always observed. Jornal of the American Statistical Association,Vol.89,NO.427,pp.846-866.[22] Rubin,D.B.(1987), Multiple Imputation for Nonresponse in Surveys. New York: Wiley[23] Rubin,D.B.(1976), Inference and missing data.Biometrika,63,3,pp.581-92.[24] Rubin,D.B.and Schafer,J.L.(1990), Efficiently creating multiple imputations for incomplete multivariate normal data." In Proceedings of the Statistical Computing Section of the American Statistical Association.pp.83-88.[25] Schafer,J.L.(1997), Analysis of Incomplete Multivariate .Data.New York.[26] Skinner,C.J,Holt,D.,and Smith.T.M.F.(1989), Analysis of Complex Surveys. New York:Wiley.[27] Skinner,C.J.,and Coker,O.(1996), Regression analysis for complex survey data with missing values of a covariate.J.R.Statist.Soc.A.159,part 2,pp. 265-274.[28] Wu,C.F.(1985), Variance estimation for the combined ratio and combined regression estimators.Journal of the Royal StatisticalSociety,B47,147-154.[29] Weisberg,Sanford.(1985), Applied Linear Regression. New York:John Wiley & Sons.[30] Zhao,L.P.,Lipsitz,S.,and Lew,D.(1996), Regression analysis with missing covariate data using estimating equations.Biometrics 52,1165-1182. zh_TW
