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題名：應用線性混合效果模式於建立多層縱向資料的模式之實例研究
書刊名：教育與心理研究
作者：葛湘瑋 引用關係
作者(外文)：Ker, Hsiang-wei
出版日期：2004
卷期：27:2
頁次：頁399-419
主題關鍵詞：線性混合效果模式；多層線性模式；縱向資料；隨機效果；異質性；相依性；Linear mixed-effects models；Hierarchical linear models；Random effects；Longitudinal data；Heteroscedasticity；Dependence
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相關次數：
  • 被引用次數被引用次數:期刊(3) 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:63
縱向資料通常用於研究個人的成長、發展及個人的改變。這種形式的資料通常包含了同一個受試者在不同時間點上重複的接受測量。多變量分析和重複測量變異數分析常用來分析縱向資料。然而利用這兩項統計方法在分析縱向資料上有它的限制。縱向資料通常需要結構性的共變異數模式，殘差通常含有異質性和相依性；資料通常也屬於多層資料，重複測量是第一層，受試者是第二層。這項研究的主要目的是探討使用線性混合效果模式來建立縱向資料的模式的情形，同時也包含了如何建立模式的步驟。本研究以視覺搜尋資料當作實例分析來顯示使用線性混合效果模式在分析縱向資料的優點，同時也包括了利用線性混合效果模式在分析縱向資料的建議與討論。
Longitudinal data are used in the research of growth, development, and change. Such data consist of the same subjects repeatedly measured over time. Multivariate analysis of variance and repeated measures ANOVA have historically been the most widely used tools for analyzing longitudinal data. However, there are some limitations in utilizing these two methods in analyzing longitudinal data. The longitudinal data typically need some structured covariance models, and the residual errors often exhibit heteroscedasticity and dependence. They also possess a hierarchical data structure in the sense that the repeated measurements are viewed as a separate level nested within an individual. The main objective of this study was to investigate hierarchical linear models/linear mixed-effects models for longitudinal data. The visual-search dataset is used to demonstrate the advantages of utilizing the methodology. Several recommenda­tions and advantages on the application of linear mixed-effects models in longitudinal modeling are discussed.
期刊論文
1.Raudenbush, S. W.(2001)。Comparing personal trajectories and drawing causal inferences from longitudinal data。Annual Review of Psychology，52(1)，501-525。  new window
2.Draper, D.(1995)。Inference and Hierarchical Modeling in the Social Sciences。Journal of Educational and Behavioral Statistics，20(2)，115-147。  new window
3.de Leeuw, J.、Kreft, I. G. G.(1995)。Questioning multilevel models。Journal of Educational and Behavioral Statistics，20(2)，171-189。  new window
4.Kreft, I. G. G.(1995)。Hierarchical linear models: Problems and prospects。Journal of Educational and Behavioral Statistics，20(2)，109-113。  new window
5.Cheong, Yuk-Fai、Fotiu, T. A.、Raudenbush, S. W.(2001)。Efficiency and Robustness of Alternative Estimators for 2- and 3-Level Models: The Case of NAEP。Journal of Educational & Behavioral Statistics，26(4)，411-429。  new window
6.Goldstein, G.、Rasbash, J.、Browne, W.、Woodhouse, G.、Poulain, M.(2000)。Multilevel Models in the Study of Dynamic Household Structures。European Journal of Population，16，373-387。  new window
7.Louis, T. A.(1988)。General Methods for Analyzing Repeated Measures。Statistics in Medicine，7，19-45。  new window
8.Maas, C. J. M.、Snijders, Tom A. B.(2003)。The Multilevel Approach to Repeated Measures for Complete and Incomplete Data。Quality and Quantity，37，71-89。  new window
9.Morrell, C. H.、Pearson, J. D.、Brant, L. J.(1997)。Linear Transformations of Linear Mixed-Effects Models。The American Statistician，51，338-343。  new window
10.Peterson, M. S.、Kramer, A. F.(2001)。Contextual Cueing Reduces Interference from Task-Irrelevant Onset Distractors。Visual Congition，8，843-859。  new window
11.Pollack, B. N.(1998)。Hierarchical Linear Modeling and the 'Unit of Analysis' Problem: A Solution for Analyzing Responses of Intact Group Member。Group Dynamics: Theory, Research, and Practice，2，299-312。  new window
12.Raudenbush, S. W.、Johnson, C.、Sampson, Robert J.(2003)。A Multivariate, Multilevel Rasch Model for Self-Reported Criminal Behavior。Sociological Methodology，33，169-211。  new window
13.Snijders, Tom A. B.、Baerveldt, C.(2003)。A Multilevel Network Study of the Effects of Delinquent Behavior on Friendship Evolution。Journal of Mathematical Sociology，27，123-151。  new window
14.Wang, J.(1999)。Reasons for Hierarchical Linear Modeling: A Reminder。The Journal of Experimental Education，68，89-93。  new window
15.Yang, M.、Goldstein, H.、Browne, W.、Woodhouse, G.(2002)。Multivariate Multilevel Analyses of Examination Results。Journal of the Royal Statistical Society, Series A: Statistics in Society，165，137-153。  new window
學位論文
1.Ker, H. W.(2002)。Application of Regression Spline in Multilevel Longitudinal Modeling，Champaign, IL/ Urbana, IL。  new window
圖書
1.Verbeke, G.、Molenberghs, G.(2010)。Linear mixed models for longitudinal data。New York, NY：Springer-Verlag。  new window
2.Pinheiro, J. C.、Bates, D. M.(2000)。Mixed-Effects Models in S and S-Plus。Mixedeffects Models in S and S-plus。New York, NY：Springer-Verlag。  new window
3.Vonesh, E. F.、Chinchilli, V. M.(1997)。Linear and Nonlinear Models for the Analysis of Repeated Measurements。Linear and Nonlinear Models for the Analysis of Repeated Measurements。New York, NY：Marcel Dekker, Inc.。  new window
4.Raudenbush, S. W.、Bryk, A. S.、Cheong, Y. F.、Congdon, R. T. Jr.(2000)。HLM5: Hierarchical linear and nonlinear modeling。Scientific Software International。  new window
5.Box, George E. P.、Jenkins, Gwilym M.、Reinsel, Gregory C.(1994)。Time Series Analysis: Forecasting and Control。San Francisco, CA：Holden-Day。  new window
6.Carlin, B. P.、Louis, T. A.(1996)。Bayes and Empirical Bayes Methods for Data Analysis。Bayes and Empirical Bayes Methods for Data Analysis。London, UK。  new window
7.Goldstein, H.(1979)。The Design and Analysis of Longitudinal Studies。The Design and Analysis of Longitudinal Studies。New York, NY。  new window
8.Goldstein, H.(1995)。Multilevel Statistical Model。Multilevel Statistical Model。New York, NY。  new window
9.Hox, J. J.(2000)。Multilevel Analysis of Grouped and Longitudinal Data。Modeling Longitudinal and Multilevel Data: Practical Issues, Applied Approaches and Specific Examples。NJ。  new window
10.Jones, R. H.(1993)。Longitudinal Data with Serial Correlation: A State-Space Approach。Longitudinal Data with Serial Correlation: A State-Space Approach。London, UK。  new window
11.MacCallum, R. C.、Kim, C.(2000)。Modeling Multivariate Change。Modeling Longitudinal and Multilevel Data: Practical Issues, Applied Approaches and Specific Examples。NJ。  new window
12.Satorra, A.、Muthén, B. O.、Muthen, B.(1989)。Multilevel Aspects of Varying Parameters in Structural Models。Multilevel Analysis of Educational Data。San Diego。  new window
13.Raudenbush, S. W.、Kim, J. S.(2002)。Statistical Issues in Analysis of International Comparisons of Educational Achievement。Methodological Advances in Cross-National Surveys of Educational Achievement。Washington, DC。  new window
14.Raudenbush, S. W.(2001)。Toward a Coherent Framework for Comparing Trajectories of Individual Change。New Methods for the Analysis of Change。Washington, DC。  new window
其他
1.Anderson, C. J.(2001)。Model Building，沒有紀錄。  new window
 
 
 
 
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