1. NCCU Academic Hub
  2. Publications
  3. College of Commerce
  4. Theses
  5. Item

Publications-Theses

Article View/Open

Publication Export

Google ScholarTM

NCCU Library

Citation Infomation

Related Publications in TAIR

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-Hungen_US
dc.creator (作者) 許正宏zh_TW
dc.creator (作者) Hsu, Cheng-Hungen_US
dc.date (日期) 2000en_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) A2002001934en_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) 86354010zh_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/#A2002001934en_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 samplingen_US
dc.subject (關鍵詞) cluster samplingen_US
dc.subject (關鍵詞) missing valueen_US
dc.subject (關鍵詞) multiple imputationen_US
dc.subject (關鍵詞) monotone data patternen_US
dc.subject (關鍵詞) hierarchical modelen_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 Surveyen_US
dc.type (資料類型) thesisen_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