Selected Papers on Latent Growth Modeling

Willett, J. B., & Bub, K. L. (2004). Latent Growth Curve Analysis. To appear in David Rindskopf (Ed.), Encyclopedia of Behavioral Statistics. Oxford, UK: Wiley.

A simple explanation of the mapping of the multilevel model for change onto the LISREL general covariance structure model, with a data-based example and a specimen LISREL program. Extensions of the basic approach are listed. The data used in the example in the paper can be downloaded here.

Willett, J. B., & Keiley, M. K. (2000).  Using Covariance Structure Analysis to Model Change Over Time.  In Howard E. A. Tinsley & Steven D. Brown (Eds.), Handbook of Applied Multivariate Statistics and Mathematical Modeling, Chapter 23.  San Diego, CA: Academic Press, 665-694.

An integrated presentation of the latent growth modeling strategies that were described separately in the two Willett & Sayer papers (1994, 1995), complete with a new example and lengthier discussion of several potential extensions of the approach.

Willett, J. B., & Sayer, A. G.  (1995).  Cross-Domain Analyses of Change over Time: Combining Growth Modeling and Covariance Structure Analysis.  In G. A. Marcoulides & R. E. Schumacker (Eds.), Advanced Structural Equation Modeling:  Issues and Techniques.  Hillsdale, New Jersey:  Lawrence Erlbaum Incorporated, Chapter 2, 22-51.

This paper extends the basic mapping strategy described in the Willett & Sayer paper (1994) to include analyses of the simultaneous relationships among individual changes taking place in several domains over time, including a data-example and sample LISREL programs.

Willett, J. B., & Sayer, A. G.  (1994).  Using Covariance Structure Analysis To Detect Correlates And Predictors Of Change.  Psychological Bulletin, 116, 363-381.

My first paper on mapping the standard multilevel model for change onto the general covariance structure model, with a data-based example and sample LISREL program.  The paper re-interprets the latent growth modeling approach of McArdle, Meredith, Muthen, Tisak and others from an individual growth modeling perspective.