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題名:取樣權重值於應用 SEM 模式分析之參數估算正確性研究
書刊名:教育與心理研究
作者:蔡良庭 引用關係楊志堅 引用關係
作者(外文):Tsai, Liang-tingYang, Chih-chien
出版日期:2008
卷期:31:1
頁次:頁155-177
主題關鍵詞:取樣權重結構方程模式因素分析Sampling weightsStructural equation modelingFactor analysis
原始連結:連回原系統網址new window
相關次數:
  • 被引用次數被引用次數:期刊(4) 博士論文(1) 專書(0) 專書論文(0)
  • 排除自我引用排除自我引用:2
  • 共同引用共同引用:0
  • 點閱點閱:77
在調查研究中,因不同組群的個數在母群體所占的比例不相等,以致於抽樣機率不相等,必須加上取樣權重(sampling weights),才可能正確地推估母群體的樣貌(Martin & Kelly, 1996)。目前取樣權重的實質應用僅局限於基礎統計方法,較高階的統計分析方法,例如:結構方程模式(Structural Equation Modeling, SEM)、因素分析(Factor Analysis, FA)便很少應用取樣權重的概念。Asparouhov(2005)對此一問題進行初步研究,他進行了含取樣權重的潛藏變數估算模擬研究,其研究結果顯現出需考慮取樣權重,才能得到正確的參數估算值。本研究延伸Asparouhov的實驗,設計了五個觀察變項及一個因子(factor)模式,利用電腦模擬以探討取樣權重對因素分析參數估算結果的影響性。研究結果發現,使用取樣權重能有較高的參數估算正確性。
The goal of the investigation is to evaluate the use of sampling weights in the structural equation modeling context through a simulation study. The statistical inference in this study is carried out by using a basic factor analysis model with one latent variable and five continue observe variables. In this study, three independent variables were manipulated by various proportions of samples versus population, sampling stratum sizes, and differences in factor loading between strata. Estimations are conducted by using the altered maximum likelihood estimation (MLE) algorithm. Our simulation results demonstrate that adapted processes of sampling weight are crucial and incorporating weights into the parameter estimation procedures of SEM is a non-ignorable top-priority.
期刊論文
1.Asparouhov, T.(2005)。Sampling Weights in Latent Variable Modeling。Structural Equation Modeling,12(3),411-434。  new window
2.Grilli, L.、Pratesi, M.(2004)。Weighted Estimation in Multilevel Ordinal and Binary Models in the Presence of Informative Sampling Designs。Survey Methodology,30,4-14。  new window
3.Kaplan, D.、Ferguson, A. J.(1999)。On the Utilization of Sample Weights in Latent Variable Models。Structural Equation Modeling,6(4),305-321。  new window
4.Korn, E. L.、Graubard, B. I.(1995)。Examples of differing weighted and unweighted estimates from a sample survey。The American Statistician,49(3),291-295。  new window
5.Stapleton, L.(2002)。The Incorporation of Sample Weights into Multilevel Structural Equation Models。Structural Equation Modeling,9(4),475-502。  new window
6.Asparouhov, T.(2006)。General Multi-level Modeling with Sampling Weights。Communications in Statistics Theory and Methods,35(3),439-460。  new window
7.Patterson, B. H.、Dayton, C. M.、Graubard, B. I.(2002)。Latent Class Analysis of Complex Sample Survey Data: Application to Dietary Data。Journal of the American Statistical Association,97,721-734。  new window
8.Pfeffermann, D.、Skinner, C. J.、Holmes, D. J.、Goldstein, H.、Rasbash, J.(1998)。Weighting for Unequal Selection Probabilities in Multilevel Models。Journal of the Royal Statistical Society, Series B: Statistical Methodology,60,23-56。  new window
9.Yang, C. C.、Tsai, L. T.(2006)。A Simulation Study on Computation and Inference Accuracy of Factor Loadings for Large Data Mines。The World Scientific and Engineering Academy and Society Transactions on Information Science and Application,12(3),2577-2579。  new window
學位論文
1.朱穆桂(2002)。國民小學學童口語理解量表相關之研究,0。  延伸查詢new window
圖書
1.Scheaffer, R. L.、Mendenhall, W.、Ott, L.(2006)。Elementary Survey Sampling。Boston, MA:Duxbury Press。  new window
2.Muthen, L. K.、Muthen, B. O.(1998)。Mplus user's guide。Los Angeles, CA:Muthen, L. K., Muthen, B. O.。  new window
3.Sarndal, C. E.、Swensson, B.、Wertman, J.(1992)。Model Assisted Survey Sampling。Model Assisted Survey Sampling。New York, NY。  new window
4.Martin, M. O.、Kelly, D. L.(1996)。Third International Mathematics and Science Study Technical Report: Design and Development。Third International Mathematics and Science Study Technical Report: Design and Development。0。  new window
 
 
 
 
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