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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


    请使用永久网址来引用或连结此文件: https://nccur.lib.nccu.edu.tw/handle/140.119/90494


    题名: 抽樣調查中關於缺失資料之各種補齊法性質之研究
    作者: 楊淑蘭
    贡献者: 金建輝
    楊淑蘭
    日期: 1989
    上传时间: 2016-05-04 14:24:05 (UTC+8)
    摘要: 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。
    參考文獻: 參考文獻
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    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/#B2002005728
    数据类型: thesis
    显示于类别:[統計學系] 學位論文

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