Factors Affecting the Adequacy and Preferability of Semiparametric Groups-Based Approximations of Continuous Growth Trajectories

Multivariate Behavioral Research
Sonya K SterbaDaniel J Bauer

Abstract

Psychologists have long been interested in characterizing individual differences in change over time. It is often plausible to assume that the distribution of these individual differences is continuous in nature, yet theory is seldom so specific as to designate its parametric form (e.g., normal). Semiparametric groups-based trajectory models (SPGMs) were thus developed to provide a discrete approximation for continuously distributed growth of unknown form. Previous research has demonstrated the adequacy of the approximation provided by SPGM but only under relatively narrow, theoretically optimal conditions. Under alternative conditions, which may be more common in practice (e.g., higher dimension random effects, smaller sample sizes), this study shows that approximation adequacy can suffer. Furthermore, this study also evaluates whether SPGM's discrete approximation is preferable to a parametric trajectory model that assumes normally distributed random effects when in fact the distribution is modestly nonnormal. The answer is shown to depend on distributional characteristics of both repeated measures (binary or continuous) and random effects (bimodal or skewed). Implications for practice are discussed in light of empirical exam...Continue Reading

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Citations

Dec 11, 2014·Journal of Clinical Child and Adolescent Psychology : the Official Journal for the Society of Clinical Child and Adolescent Psychology, American Psychological Association, Division 53·Sonya K Sterba
Jul 12, 2014·Structural Equation Modeling : a Multidisciplinary Journal·Nisha C GottfredsonScott A Baldwin
Sep 15, 2018·Maternal & Child Nutrition·Mackenzie D M WhippsJill R Demirci
Mar 7, 2020·European Journal of Epidemiology·Moritz HerleBianca L De Stavola
Nov 1, 2013·Multivariate Behavioral Research·Sonya K Sterba

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Software Mentioned

GenData
R
SAS
Mplus
HGLM
SPGM

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