June 2025 Live Online Short Course

Advanced SEM: Measurement Invariance, LGM,
Interactions, and Multilevel
Dr. Bob Vandenberg

Session II: June 9-12 | 10:00 AM EDT – 3:00 PM EDT

Course Description

The short course covers three advanced structural equation modeling (SEM) topics: (a) testing measurement invariance; (b) latent growth modeling; and (c) evaluating reciprocal relationships in SEM. The instructor lectures about half of the time with the remaining time devoted to having participants run examples with actual data provided by the instructor. Participants go home with usable examples and syntax. The measurement invariance testing section focuses on the procedures as outlined in the Vandenberg and Lance (2000) Organizational Research Methods article. Namely, we will cover the 9 invariance tests starting with the tests of equal variance-covariance matrices and ending with tests of latent mean differences. We will use a multi-sample approach in undertaking the invariance tests, and you will be shown how to test latent mean differences using the latent means of the latent variables within each group. The workshop then advances to operationalizing latent growth models within the SEM framework. Essentially, this is how to use one’s longitudinal data to actually capture the dynamic processes in one’s theory by creating vectors of change across time. The participant will also be exposed to modeling how the change in one variable impacts change in another. We will also use mixed modeling. And at the end of it, I introduce the participants to latent profile modeling with latent growth curves. The final piece is the testing of models with feedback loops via an SEM-Journal article by Edward Rigdon (1995). We will go through his 4 different models and what they mean. In doing so, we will extensively cover model identification as it is particularly important to testing reciprocal effects.

While the instruction will be carried out using the R-package LAVAAN, participants are welcome to use another SEM package.  If you do so, you should have strong familiarity with that package and its functionality as the instructor will not be able to provide assistance in its use.

Course Preview

Meet the Instructor

Dr. Robert Vandenberg, the Robert O. Arnold Professor of Business Emeritus at the University of Georgia, is renowned for his work in social psychology. With a Ph.D. from the University of Georgia in 1982, he excels in research topics like employee involvement, measurement, organizational commitment, and culture. Dr. Vandenberg’s achievements include editorial board positions, a Distinguished Career Award from the Academy of Management, and leadership roles at the University of Georgia. His extensive career spans full professorships and department head positions. Dr. Vandenberg has collaborated extensively with CARMA to deliver courses on Structural Equation Modeling (SEM).