S4E18 The Latent Variable Interaction Files


In this week’s episode Greg and Patrick talk about what you can do when latent variables conspire to multiplicatively interact, focusing on the classic product indicator approach and the more recently developed method of  latent moderated structural relations. Along the way they also mention confession, being hardly sorry, conspiracy theories, Greg’s area 51 poster, trashed record needles, backwards messages, the Scooby Doo Gang, Street Justice Velma, tasteful ascots, chocolate in my peanut butter, two-legged tables, spinning 90 degrees, drug mules, Pearson’s crabs, Freemasons and the Illuminati, and chalking up a win.

Related Episodes

S1E22: Factor Analysis — The Good, The Bad, & The Ugly

S2E07: Moderation — Well, It Depends

S2E21: Yes, Virginia… There ARE Latent Variables

Suggested Readings

Cortina, J. M., Markell-Goldstein, H. M., Green, J. P., & Chang, Y. (2021). How are we testing interactions in latent variable models? Surging forward or fighting shy?. Organizational Research Methods24, 26-54.

Kelava, A., Werner, C. S., Schermelleh-Engel, K., Moosbrugger, H., Zapf, D., Ma, Y., … & West, S. G. (2011). Advanced nonlinear latent variable modeling: Distribution analytic LMS and QML estimators of interaction and quadratic effects. Structural Equation Modeling: A Multidisciplinary Journal18(3), 465-491.

Kenny, D. A., & Judd, C. M. (1984). Estimating the nonlinear and interactive effects of latent variables. Psychological Bulletin96, 201.

Klein, A., & Moosbrugger, H. (2000). Maximum likelihood estimation of latent interaction effects with the LMS method. Psychometrika65, 457-474.

Lin, G. C., Wen, Z., Marsh, H. W., & Lin, H. S. (2010). Structural equation models of latent interactions: Clarification of orthogonalizing and double-mean-centering strategies. Structural Equation Modeling17, 374-391.

Marsh, H. W., Wen, Z., & Hau, K. T. (2004). Structural equation models of latent interactions: evaluation of alternative estimation strategies and indicator construction. Psychological Methods, 9, 275.

Schermelleh-Engel, K., Klein, A., & Moosbrugger, H. (2017). Estimating nonlinear effects using a latent moderated structural equations approach. In Interaction and nonlinear effects in structural equation modeling (pp. 203-238). Routledge.

Schumacker, R. E. (Ed.). (2017). Interaction and nonlinear effects in structural equation modeling. Routledge.

Wen, Z., Marsh, H. W., & Hau, K. T. (2010). Structural equation models of latent interactions: An appropriate standardized solution and its scale-free properties. Structural Equation Modeling17(1), 1-22.



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