Growth rate models: emphasizing growth rate analysis through growth curve modeling

被引:15
作者
Zhang, Zhiyong [1 ]
McArdle, John J. [2 ]
Nesselroade, John R. [3 ]
机构
[1] Univ Notre Dame, Dept Psychol, Notre Dame, IN 46556 USA
[2] Univ So Calif, Dept Psychol, Los Angeles, CA 90089 USA
[3] Univ Virginia, Dept Psychol, Charlottesville, VA 22903 USA
关键词
growth curve models; growth rate models; reparametrization and rotation; mathematics ability development; ACHIEVEMENT; PARAMETERS; BEHAVIOR; ABILITY; TIME;
D O I
10.1080/02664763.2011.644528
中图分类号
O21 [概率论与数理统计]; C8 [统计学];
学科分类号
020208 ; 070103 ; 0714 ;
摘要
To emphasize growth rate analysis, we develop a general method to reparametrize growth curve models to analyze rates of growth for a variety of growth trajectories, such as quadratic and exponential growth. The resulting growth rate models are shown to be related to rotations of growth curves. Estimated conveniently through growth curve modeling techniques, growth rate models have advantages above and beyond traditional growth curve models. The proposed growth rate models are used to analyze longitudinal data from the National Longitudinal Study of Youth (NLSY) on children's mathematics performance scores including covariates of gender and behavioral problems (BPI). Individual differences are found in rates of growth from ages 6 to 11. Associations with BPI, gender, and their interaction to rates of growth are found to vary with age. Implications of the models and the findings are discussed.
引用
收藏
页码:1241 / 1262
页数:22
相关论文
共 41 条
[1]  
[Anonymous], LINEAR MIXED MODEL L
[2]  
Baltes P.B., 1979, Longitudinal research in the study of behavior and development, P1
[3]   The role of coding time in estimating and interpreting growth curve models [J].
Biesanz, JC ;
Deeb-Sossa, N ;
Papadakis, AA ;
Bollen, KA ;
Curran, PJ .
PSYCHOLOGICAL METHODS, 2004, 9 (01) :30-52
[4]   A method for modeling the intrinsic dynamics of intraindividual variability: Recovering the parameters of simulated oscillators in multi-wave panel data [J].
Boker, SM ;
Nesselroade, JR .
MULTIVARIATE BEHAVIORAL RESEARCH, 2002, 37 (01) :127-160
[5]  
Bollen KA, 2006, WILEY SER PROBAB ST, P1
[6]  
Browne M.W., 1993, Multivariate analysis: Future directions 2, P171, DOI DOI 10.1016/B978-0-444-81531-6.50016-7
[7]   An overview of analytic rotation in exploratory factor analysis [J].
Browne, MW .
MULTIVARIATE BEHAVIORAL RESEARCH, 2001, 36 (01) :111-150
[8]  
BROWNE MW, 1991, BEST METHODS FOR THE ANALYSIS OF CHANGE, P47, DOI 10.1037/10099-004
[9]   Behavior problem trajectories and first-grade cognitive ability and achievement skills: A latent growth curve analysis [J].
Bub, Kristen L. ;
McCartney, Kathleen ;
Willett, John B. .
JOURNAL OF EDUCATIONAL PSYCHOLOGY, 2007, 99 (03) :653-670
[10]  
Cattell R.B., 1966, HDB MULTIVARIATE EXP