TY - JOUR
T1 - Modeling Nonlinear Change via Latent Change and Latent Acceleration Frameworks
T2 - Examining Velocity and Acceleration of Growth Trajectories
AU - Grimm, Kevin
AU - Zhang, Zhiyong
AU - Hamagami, Fumiaki
AU - Mazzocco, Michèle
N1 - Funding Information:
The authors would like to thank Jack McArdle, John Nesselroade, Nilam Ram, and Jonathan Helm for their helpful comments. Kevin J. Grimm was supported by a National Science Foundation REESE Program Grant DRL-0815787 and the National Center for Research in Early Childhood Education, Institute of Education Sciences, US Department of Education (R305A06021). Michèle Mazzocco was supported by National Institutes of Health award R01-HD34061-01-09. The opinions expressed are those of the authors and do not represent views of the US Department of Education.
PY - 2013/1
Y1 - 2013/1
N2 - We propose the use of the latent change and latent acceleration frameworks for modeling nonlinear growth in structural equation models. Moving to these frameworks allows for the direct identification of rates of change and acceleration in latent growth curves-information available indirectly through traditional growth curve models when change patterns are nonlinear with respect to time. To illustrate this approach, exponential growth models in the three frameworks are fit to longitudinal response time data from the Math Skills Development Project (Mazzocco & Meyers, 2002, 2003). We highlight the additional information gained from fitting growth curves in these frameworks as well as limitations and extensions of these approaches.
AB - We propose the use of the latent change and latent acceleration frameworks for modeling nonlinear growth in structural equation models. Moving to these frameworks allows for the direct identification of rates of change and acceleration in latent growth curves-information available indirectly through traditional growth curve models when change patterns are nonlinear with respect to time. To illustrate this approach, exponential growth models in the three frameworks are fit to longitudinal response time data from the Math Skills Development Project (Mazzocco & Meyers, 2002, 2003). We highlight the additional information gained from fitting growth curves in these frameworks as well as limitations and extensions of these approaches.
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U2 - 10.1080/00273171.2012.755111
DO - 10.1080/00273171.2012.755111
M3 - Article
AN - SCOPUS:84875927689
SN - 0027-3171
VL - 48
SP - 117
EP - 143
JO - Multivariate Behavioral Research
JF - Multivariate Behavioral Research
IS - 1
ER -