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Title: Growth Rate Models: Emphasizing Growth Rate Analysis through Growth Curve Modeling
Resulting in 1 citation.
1. Zhang, Zhiyong
McArdle, John J.
Nesselroade, John R.
Growth Rate Models: Emphasizing Growth Rate Analysis through Growth Curve Modeling
Journal of Applied Statistics 39,6 (June 2012): 1241-1262.
Also: http://www.tandfonline.com/doi/abs/10.1080/02664763.2011.644528
Cohort(s): Children of the NLSY79
Publisher: Taylor & Francis Group
Keyword(s): Behavior Problems Index (BPI); Gender Differences; Modeling, Growth Curve/Latent Trajectory Analysis; Peabody Individual Achievement Test (PIAT- Math); Test Scores/Test theory/IRT

Permission to reprint the abstract has not been received from the publisher.

To emphasize growth rate analysis, we develop a general method to reparametrize growth curve models to analyze rates of growth for a variety of growth trajectories, such as quadratic and exponential growth. The resulting growth rate models are shown to be related to rotations of growth curves. Estimated conveniently through growth curve modeling techniques, growth rate models have advantages above and beyond traditional growth curve models. The proposed growth rate models are used to analyze longitudinal data from the National Longitudinal Study of Youth (NLSY) on children's mathematics performance scores including covariates of gender and behavioral problems (BPI). Individual differences are found in rates of growth from ages 6 to 11. Associations with BPI, gender, and their interaction to rates of growth are found to vary with age. Implications of the models and the findings are discussed.
Bibliography Citation
Zhang, Zhiyong, John J. McArdle and John R. Nesselroade. "Growth Rate Models: Emphasizing Growth Rate Analysis through Growth Curve Modeling." Journal of Applied Statistics 39,6 (June 2012): 1241-1262.