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題名：運用重複取樣方法探究複雜資料的取樣設計及權重於CFA參數估計之效應
作者：蔡良庭 引用關係
作者(外文)：Liang Ting, Tsai
校院名稱：國立臺中教育大學
系所名稱：教育測驗統計研究所
指導教授：楊志堅
學位類別：博士
出版日期：2009
主題關鍵詞：取樣設計；重複取樣；確認性因素分析；取樣權重；sampling design；resampling；confirmatory factor analysis；sampling weight
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調查研究中的資料分析必須搭配適當的取樣權重，才能正確的推論母體的統計模式參數。本研究主要延伸蔡良庭與楊志堅（2008）及Yang與Tsai(2006)的確認性因素分析（confirmatory factor analysis, CFA）模型，以JRR、Bootstrap、ABB及RG等不同重複取樣程序，評估分層簡單隨機取樣（Str. RS）及等比率等機率取樣（PPS）及其權重計算方式對於CFA分析的參數估計值及參數估計標準誤影響。但是當調查研究為包含多階層的複雜資料結構時，Str. RS及PPS取樣設計最為研究者所使用，但卻也最常為研究者忽略這兩種設計的不同取樣權重計算方式對於參數估計的影響。
本研究以數值模擬實驗方法，評估Str. RS及PPS取樣設計及其權重計算對於參數估計的影響，並探討不同重複取樣程序的正確性及穩定性。實驗設計除了取樣設計之外，包含連續及類別資料型態、多種不同取樣數、PSU異質性及重複取樣程序。研究結果顯示不論連續或類別資料，建議採用PPS的取樣設計及其權重計算能提供較精準的參數估計。重複取樣程序部分，相較於RG方法，JRR、Bootstrap及ABB程序能提供更精準且穩定的參數估計。
In large-scale survey, appropriate sampling weights have to be engaged to ensure proper statistical inferences for population parameters. A further extension factor analysis model based on Tsai and Yang (2008) and Yang and Tsai (2006) was proposed in this study. The model was used to evaluate the effect of different resampling procedure (JRR, Bootstrap, ABB, and RG), combined with stratified random sampling (Str. RS) and probability proportional to size (PPS), on the accuracy of parameter and standard error estimation. When complex sampling data were found in survey researches, the Str. RS and PPS sampling designs are often applied. However, the effects of different sampling weights within these two designs on the parameter estimation were often neglected.
The effects of parameter estimation by using Str. RS and PPS sampling design on the accuracy were investigated through a numerical simulation study. The accuracy and stability of parameter estimate under different resampling approaches were also discussed. Independent variables that manipulated in this study includes the sampling designs, data type (continuous or categorical), sampling size, variations of PSU, and resampling approaches. The results suggest the PPS sampling design and it’s sampling weight can provided more precise parameter estimate of CFA models in a stratified sampling survey, no matter for continuous or categorical data. In resampling approaches, the accuracies and stabilities of JRR, Bootstrap and ABB are much better than RG.
楊志堅、蔡良庭（2008）。評估取樣權重於檢定Likert問卷之測量恆等性研究。中華心理學刊。50（3），257-269。new window
楊志堅、蔡良庭、楊志強（2009）。以LVQ-ESW推估受訪者未知權重之研究。中華心理學刊。（in press）new window
蔡良庭、楊志堅（2008）。取樣權重值於應用SEM模式分析之參數估算正確性研究。教育與心理研究。31（1），155-177。new window
張笠雲、關秉寅、黃敏雄、王麗雲（2002）。臺灣教育長期追蹤資料庫研究。行政院國家科學委員會專題研究計畫報告。
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