In this week’s episode, Greg and Patrick have great fun talking about the inclusion of time-varying covariates within growth models. They differentiate time invariant from time varying predictors, explore how these are differentially incorporated in the MLM and SEM, and conclude with both the strengths and the limitations of these models in practice. Along the way they also discuss Herb Alpert, incessant complaining, downtown Charlotte, Spinal Tap drummers, back dating checks, John Stuart Mills’ corpse, time machines, blind squirrels, making good choices, pokes and prods, twitching eyes, mutually assured destruction, being quant curious, high school hallways, it’s not fair, and chewing on your stitches.
Related Episodes
- S5E10: Nonlinear Latent Growth Curve Models (Taylor’s Version)
- S4E09: Intensive Longitudinal Data: Be Careful What You Wish For
- S2E26: MLM vs. SEM: Opportunities for Growth
- S2E02: The Auto-Regressive Cross-Lagged Horror Picture Show
Recommended Readings
Bollen, K. A., & Curran, P. J. (2004). Autoregressive latent trajectory (ALT) models a synthesis of two traditions. Sociological Methods & Research, 32(3), 336-383.
Bryk, A. S., & Raudenbush, S. W. (1987). Application of hierarchical linear models to assessing change. Psychological Bulletin, 101, 147–158.
Curran, P. J., & Bauer, D. J. (2011). The disaggregation of within-person and between-person effects in longitudinal models of change. Annual Review of Psychology, 62(1), 583-619.
Curran, P. J., Howard, A. L., Bainter, S. A., Lane, S. T., & McGinley, J. S. (2014). The separation of between-person and within-person components of individual change over time: a latent curve model with structured residuals. Journal of Consulting and Clinical Psychology, 82(5), 879.
Curran, P. J., & Hussong, A. M. (2003). The use of latent trajectory models in psychopathology research. Journal of Abnormal Psychology, 112, 526–544.
Curran, P. J., Lee, T. H., Howard, A. H., Lane, S. T., & MacCallum, R. C. (2012). Disaggregating within-person and between-person effects in multilevel and structural equation growth models. In G. Hancock (Ed.), Advances in longitudinal methods in the social and behavioral sciences (pp. 217–253). Charlotte, NC: Information Age.
Curran, P. J., & Willoughby, M. T. (2003). Implications of latent trajectory models for the study of developmental psychopathology. Development and Psychopathology, 15, 581–612.
Hoffman, L. (2015). Longitudinal analysis: Modeling within-person fluctuation and change. Routledge.
McArdle, J. J. (2009). Latent variable modeling of differences in changes with longitudinal data. Annual Review of Psychology, 60, 577–605.