Nonlinear Growth Models in Mplus and SAS

被引:136
作者
Grimm, Kevin J. [1 ]
Ram, Nilam [2 ,3 ]
机构
[1] Univ Calif Davis, Dept Psychol, Davis, CA 95616 USA
[2] Penn State Univ, University Pk, PA 16802 USA
[3] Max Planck Inst Human Dev, Berlin, Germany
基金
美国国家科学基金会;
关键词
LONGITUDINAL STRUCTURAL-ANALYSES; MIXED-EFFECTS MODELS; LATENT CURVE MODELS; INDIVIDUAL-DIFFERENCES; MULTILEVEL MODELS;
D O I
10.1080/10705510903206055
中图分类号
O1 [数学];
学科分类号
070101 [基础数学];
摘要
Nonlinear growth curves or growth curves that follow a specified nonlinear function in time enable researchers to model complex developmental patterns with parameters that are easily interpretable. In this article we describe how a variety of sigmoid curves can be fit using the Mplus structural modeling program and the nonlinear mixed-effects modeling procedure NLMIXED in SAS. Using longitudinal achievement data, collected as part of a study examining the effects of preschool instruction on academic gain, we illustrate the procedures for fitting growth models of logistic, Gompertz, and Richards functions. Brief notes regarding the practical benefits, limitations, and choices faced in the fitting and estimation of such models are included.
引用
收藏
页码:676 / 701
页数:26
相关论文
共 57 条
[1]
Arbuckle J.L., 1999, AMOS 40 USERS GUIDE
[2]
CONVERGENCE: AN ACCELERATED LONGITUDINAL APPROACH [J].
Bell, Richard Q. .
CHILD DEVELOPMENT, 1953, 24 (02) :145-152
[3]
Bentler PeterM., 1995, EQS PROGRAM MANUAL
[4]
Structured latent curve models for the study of change in multivariate repeated measures [J].
Blozis, SA .
PSYCHOLOGICAL METHODS, 2004, 9 (03) :334-353
[5]
Blozis SA, 1999, J EDUC BEHAV STAT, V24, P245, DOI 10.2307/1165324
[6]
On fitting nonlinear latent curve models to multiple variables measured longitudinally [J].
Blozis, Shelley A. .
STRUCTURAL EQUATION MODELING-A MULTIDISCIPLINARY JOURNAL, 2007, 14 (02) :179-201
[7]
Browne M.W., 1993, Multivariate analysis: Future directions 2, P171, DOI DOI 10.1016/B978-0-444-81531-6.50016-7
[8]
BROWNE MW, 1991, BEST METHODS FOR THE ANALYSIS OF CHANGE, P47, DOI 10.1037/10099-004
[9]
Bryk Anthony S., 1992, Hierarchical linear models: Applications and data analysis methods
[10]
APPLICATION OF HIERARCHICAL LINEAR-MODELS TO ASSESSING CHANGE [J].
BRYK, AS ;
RAUDENBUSH, SW .
PSYCHOLOGICAL BULLETIN, 1987, 101 (01) :147-158