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Author: Depaoli, Sarah
Resulting in 1 citation.
1. Depaoli, Sarah
Boyajian, Jonathan
Linear and Nonlinear Growth Models: Describing a Bayesian Perspective
Journal of Consulting and Clinical Psychology 82,5 (October 2014): 784-802.
Cohort(s): NLSY97
Publisher: American Psychological Association (APA)
Keyword(s): Alcohol Use; Bayesian; Cigarette Use (see Smoking); Depression (see also CESD); Modeling, Growth Curve/Latent Trajectory Analysis; Modeling, MIxture Models/Finite Mixture Models

Objective: Conventional estimation of longitudinal growth models can produce inaccurate parameter estimates under certain research scenarios (e.g., smaller sample sizes and nonlinear growth patterns) and thus lead to potentially misleading interpretations of results (i.e., interpreting growth patterns that do not reflect the population patterns). The current article used patterns of change in cigarette and alcohol abuse prevalence and depression levels to demonstrate an alternative method for estimating growth models more accurately under these conditions, namely, via the Bayesian estimation framework. This article acts as an introduction and tutorial for implementing Bayesian methods when examining growth or change over time, particularly nonlinear growth.

Method: The National Longitudinal Survey of Youth 1997 database was used to highlight different linear and nonlinear (quadratic and logistic) growth models via growth curve modeling (GCM) and growth mixture modeling (GMM). The specific focus was on changes in cigarette/alcohol consumption and depression throughout adolescence and young adulthood. Specifically, a nationally representative group of individuals between the ages of 12 and 16 years were assessed at 4 time-points for levels of cigarette consumption, alcohol use, and depression.

Results: The results for each example illustrated different patterns of linear and nonlinear growth via GCM and GMM through the versatile Bayesian estimation framework.

Conclusions: Growth models may benefit from the Bayesian perspective by incorporating prior information or knowledge into the model, especially when sample sizes are small or growth is nonlinear. A step-by-step tutorial for assessing various growth models via the Bayesian perspective is provided as online supplemental material. (PsycINFO Database Record © 2014 APA, all rights reserved)

Bibliography Citation
Depaoli, Sarah and Jonathan Boyajian. "Linear and Nonlinear Growth Models: Describing a Bayesian Perspective." Journal of Consulting and Clinical Psychology 82,5 (October 2014): 784-802.