General longitudinal modeling of individual differences in experimental designs: A latent variable framework for analysis and power estimation

被引:560
作者
Muthen, BO [1 ]
Curran, PJ [1 ]
机构
[1] DUKE UNIV, DEPT PSYCHOL, DURHAM, NC 27706 USA
关键词
COVARIANCE STRUCTURE-ANALYSIS; GROWTH;
D O I
10.1037/1082-989X.2.4.371
中图分类号
B84 [心理学];
学科分类号
04 ; 0402 ;
摘要
The generality of latent variable modeling of individual differences in development over time is demonstrated with a particular emphasis on randomized intervention studies. First, a brief overview is given of biostatistical and psychometric approaches to repeated measures analysis. Second, the generality of the psychometric approach is indicated by some nonstaadard models. Third, a multiple-population analysis approach is proposed for the estimation of treatment effects. The approach clearly describes the treatment effect as development that differs from normative, control-group development. This framework allows for interactions between treatment and initial status in their effects on development. Finally, an approach for the estimation of power to detect treatment effects in this framework is demonstrated. Illustrations of power calculations are carried out with artificial data, varying the sample sizes, number of timepoints, and treatment effect sizes. Real data are used to illustrate analysis strategies and power calculations. Further modeling extensions are discussed.
引用
收藏
页码:371 / 402
页数:32
相关论文
共 60 条
[51]  
Saris W.E., 1993, Testing structural equation models
[52]  
Saris W.E., 1984, CAUSAL MODELING NONE
[53]   POWER OF THE LIKELIHOOD RATIO TEST IN COVARIANCE STRUCTURE-ANALYSIS [J].
SATORRA, A ;
SARIS, WE .
PSYCHOMETRIKA, 1985, 50 (01) :83-90
[54]  
SATORRA A, 1995, ANN M PSYCH SOC LEID
[55]   THE METRIC MATTERS - THE SENSITIVITY OF CONCLUSIONS ABOUT GROWTH IN STUDENT-ACHIEVEMENT TO CHOICE OF METRIC [J].
SELTZER, MH ;
FRANK, KA ;
BRYK, AS .
EDUCATIONAL EVALUATION AND POLICY ANALYSIS, 1994, 16 (01) :41-49
[56]  
Sorbom D., 1982, Systems under indirect observation: Causality, structure, prediction, P183
[57]  
Steiger J.H., 1980, ANN M PSYCH SOC IOW
[59]   DETERMINATION OF PARAMETERS OF A FUNCTIONAL RELATION BY FACTOR-ANALYSIS [J].
TUCKER, LR .
PSYCHOMETRIKA, 1958, 23 (01) :19-23
[60]   USING COVARIANCE STRUCTURE-ANALYSIS TO DETECT CORRELATES AND PREDICTORS OF INDIVIDUAL CHANGE OVER TIME [J].
WILLETT, JB ;
SAYER, AG .
PSYCHOLOGICAL BULLETIN, 1994, 116 (02) :363-381