Modeling Nonlinear Change via Latent Change and Latent Acceleration Frameworks: Examining Velocity and Acceleration of Growth Trajectories

Multivariate Behavioral Research
Kevin J GrimmMichèle Mazzocco

Abstract

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.

References

Jan 1, 1978·Annals of Human Biology·M A Preece, M J Baines
Feb 1, 1987·Child Development·J J McArdle, D Epstein
Jun 1, 1974·Cortex; a Journal Devoted to the Study of the Nervous System and Behavior·M B Denckla, R Rudel
Sep 27, 2008·Annual Review of Psychology·John J McArdle
Jul 31, 2006·Journal of Applied Social Psychology·Michèle M M Mazzocco, Gwen F Myers
Aug 10, 2011·Child Development·Kevin J GrimmFumiaki Hamagami
Oct 1, 2009·Structural Equation Modeling : a Multidisciplinary Journal·Kevin J Grimm, Nilam Ram
Aug 6, 2010·Multivariate Behavioral Research·Pascal R Deboeck
Oct 1, 2002·Multivariate Behavioral Research·Robert Cudeck, Stephen H C du Toit

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Citations

Nov 29, 2016·Alcoholism, Clinical and Experimental Research·Alexis C EdwardsKenneth S Kendler
May 6, 2017·Monographs of the Society for Research in Child Development·Kevin J GrimmNilam Ram
May 26, 2018·Educational and Psychological Measurement·Katerina M Marcoulides, Kevin J Grimm
May 8, 2018·Annual Review of Clinical Psychology·Kevin J Grimm, Nilam Ram
Feb 2, 2021·Multivariate Behavioral Research·Holly P O'RourkeDavid P MacKinnon

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