This website contains the supplemental materials for “Dynamical properties and conceptual interpretation of Latent Change Score models” by Fernández-Cáncer, Estrada, Ollero, and Ferrer (2021). We provide lavaan (Rosseel, 2012) and OpenMx (Neale et al., 2016) code for the estimation of univariate and bivariate LCS models in R.

In each section, you can also find code for estimating the stochastic specification of these models, and their extension with multiple indicators. For each model, we include a .txt file with simulated repeated measures of developmental processes associated with aging. The data is based on Snitz et al. (2015), who examined the dynamic interrelations between subjective memory complaints and objective memory performance in a sample of 1980 old adults over five years (5 waves).


Shiny apps

Here we present some interactive tools built with the R package Shiny (Chang et al., 2020). These shiny apps contain trajectories from univariate and bivariate LCS models. By moving the slide bars in the left panel, you can modify the values of the model parameters and examine the consequences in the shape of the observed long-term trajectories.

In apps 1 and 2, you can control the parameters determining the evolution of the mean structure in an univariate and bivariate LCS model, respectively. In app 3, you can modify the variance parameters to examine the changes in within- and between-person variability in the observed trajectories.

R code:

References

Cáncer, Pablo F., Eduardo Estrada, Mar J. F. Ollero, and Emilio Ferrer. 2021. “Dynamical Properties and Conceptual Interpretation of Latent Change Score Models.” Frontiers in Psychology 48 (2): 1–36. https://doi.org/10.3389/fpsyg.2021.696419.
Chang, Winston, Joe Cheng, J. J. Allaire, Yihui Xie, and Jonathan McPherson. 2020. Shiny: Web Application Framework for r. https://CRAN.R-project.org/package=shiny.
Neale, Michael C., Michael D. Hunter, Joshua N. Pritikin, Mahsa Zahery, Timothy R. Brick, Robert M. Kirkpatrick, Ryne Estabrook, Timothy C. Bates, Hermine H. Maes, and Steven M. Boker. 2016. OpenMx 2.0: Extended Structural Equation and Statistical Modeling.” Psychometrika 81 (2): 535–49. https://doi.org/10.1007/s11336-014-9435-8.
Rosseel, Yves. 2012. “Lavaan: An r Package for Structural Equation Modeling.” Journal of Statistical Software 12 (2). http://www.jstatsoft.org/v48/i02/.
Snitz, Beth E., Brent J. Small, Tianxiu Wang, Chung-Chou H. Chang, Tiffany F. Hughes, and Mary Ganguli. 2015. “Do Subjective Memory Complaints Lead or Follow Objective Cognitive Change? A Five-Year Population Study of Temporal Influence.” Journal of the International Neuropsychological Society 21 (9): 732–42. https://doi.org/10.1017/S1355617715000922.