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研究生: 林錦鈺
論文名稱: 潛在群體分析與對應分析關係之探討
指導教授: 江振東
學位類別: 碩士
Master
系所名稱: 商學院 - 統計學系
Department of Statistics
論文出版年: 2001
畢業學年度: 89
語文別: 中文
論文頁數: 89
中文關鍵詞: 潛在群體分析對應分析
外文關鍵詞: Latent class analysis, Correspondence analysis
相關次數: 點閱:375下載:104
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  • 潛在群體分析及對應分析是在探討多個類別變數間關係常用的兩種分析方法,因其運用之領域不同,解說之方式不一,以致過去常被認為是兩種不相關的分析方法,然而實際卻非如此。本研究之目的係就雙變數及多變數的情況,針對這兩種分析方法間之關係作詳細的探討,並說明其對等及不對等的時機。


    Latent class analysis and correspondence analysis are two well-known methods that can be used to study the relationship between categorical variables. Since the two were developed and applied in two different fields in the past, they were never thought to be related. In this study, we examine the relationship between the two in more details. We further point out the situations where they are equivalent, and where they are not.

    封面頁
    證明書
    致謝詞
    論文摘要
    目錄
    表目錄
    圖目錄
    第一章 緒論
    第一節 研究動機與目的
    第二節 研究架構
    第二章 文獻回顧
    第一節 潛在群體分析
    2.1.1 潛在群體分析之發展歷史
    2.1.2 潛在群體模型之介紹
    2.1.3 參數之確認問題
    2.1.4 模型適合度檢定
    第二節 對應分析
    2.2.1 對應分析之發展歷史
    2.2.2 對應分析模型之介紹
    2.2.3 模型適合度檢定
    第三章 雙變數時之關係
    第一節 模型關係探討
    3.1.1 秩R=1
    3.1.2 秩R=min(I,J)
    3.1.3 秩R=2且R
    3.1.4 秩2
    第二節 參數間之線性關係
    第三節 實例分析
    第四章 多變數時之關係
    第一節 多重對應分析
    第二節 聯合對應分析
    第三節 多元潛在群體分析
    第四節 關係探討
    4.4.1 模型間的關係
    4.4.2 參數間的線性關係
    第五章 結論與建議
    參考文獻
    附錄
    一、判斷潛在群體模型之參數是否為局部確認的方法
    二、對應分析模型的理論背景
    三、對應分析之應用程式
    四、潛在群體分析之應用程式
    五、秩R=3<min(I,J)的例子

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