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政大機構典藏 > 商學院 > 統計學系 > 學位論文 > Item 140.119/90494

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Title:	抽樣調查中關於缺失資料之各種補齊法性質之研究
Authors:	楊淑蘭
Contributors:	金建輝楊淑蘭
Date:	1989
Issue Date:	2016-05-04 14:24:05 (UTC+8)
Abstract:	論文摘要由於時代的急速變遷，人們所面臨的問題日趨複雜。在有限的人力與財力限制之下，欲對目標母體(target population) ，作一詳細的調查與研究通常是不可能的，因此如何藉由抽樣方法從母體中抽取具有代表性的樣本是重要的。在抽樣調查的過程中我們常常發現樣本回收率沒有原來預期的高，若我們只用回收的樣本去做資料分析，常常使我們作成的結果有偏誤(biased) 。本文的目的即在針對此一問題，做一深入的研究探討。在日常生活中經常會遇到所欲研究變數y與其另一輔助變數x有某種線性關係存在。例如農作物產量與種植面積、家庭收入與家庭支出、1980 年全市人口總數與1970 年全市人口總數等。為方便研究起見，首先假設一簡單的線性迴歸模式： Y 1 =βX 1 +ε1 ε1~i.i.d.N ( 0，σ2 ) 在上式中，若(X1，YI ) i=l , 2 , ......n 為一完整的資料集，即n個隨機樣本(X1 , Y1) 皆無缺失值，則β 與σ2 的最小平方估計式可以很快求出，現在假設y值有部份缺失值，則必須想辦法把缺失的y值補齊，才能進一步研究β 與σ2 的性質，本文即針對下列六種插補法， (a)平均插補法(10) 、(b)隨機插補法(R 0)、(c)分層平均插補法（MC）、(d)分層隨機插補法(RC) 、(e)簡單迴歸插補法(R G)及(f)隨機迴歸插補法(RRS，RRN)，根據所建立的模式，運用各種不同的插補法將缺失值予以補齊後，對模式結果作理論的探討，並對各種插補法作綜合分析比較。最後利用其理論結果，配合1986 年美國零售交易普查資料作實證研究，並分析其實證結果。
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[22] Moser,C.A.and Kalton G.(1971):Survey Methods in Social Investigation, 2nd ed. London, Heinemann Educational, 1971. [23] Oh, H. L. and Scheuren F. (1980) " Estimating the Variance Impact of Missing CPS income deta" Proc. Sect. Survey Res. Meth. Amer. Statist. Ass. 1980 pp. 408-415. [24] Platek, R. , Singh, M. P. and Tremblay, V. (1978):" Adjustment for Nonresponse in Surveys "Sampling and Measurement, pp. 157-174, Academic Press. Survey New York: [25] Sande, I. G. (1979a) "A Personal View of Hot Deck Imputation Procedures " Survey Methodology, 5. pp. 238-258. [26] Sande. I. G. (1982): "Imputation in Surveys Coping With Reality" The American Statistician, August 1982. Vol. 36. Ho. 3. part 1. pp. 145-152. [27] Santos. R. L. (1981b): "Effects of Imputation on Regression Coefficients" , Proc. Sect. Survey Res. Meth. Amer. Statist. Ass . 1981. pp. 140-145. [28] Shih Wen-Fu P. (1983): "Nonresponses to Income Questions in Telephone Surveys", Proceeding of the Section on Survey Research Methods. American Statistical Association. pp. 283-288. [29] Scheiber , S. J. (1978): " A Comparison of Three Alternative Techniques for Allocating Unreported Social Security Income on the Survey of the Low Income Aged and Disabled", Proc. Sect. survey Res. Meth, Amer. Statist. Ass., 1978, pp.212-218. [30] Welniak . E. J. and Coder. J. F. (1980) "A Measure of the bias in the March CPS earnings Imputation system”, Proc. Sect, Survey Res ,Meth., Amer, Statist. Ass, 1980, pp.421-425
Description:	碩士國立政治大學統計學系
Source URI:	http://thesis.lib.nccu.edu.tw/record/#B2002005728
Data Type:	thesis
Appears in Collections:	[統計學系] 學位論文

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