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How to run an SEM moderation in R? For many researchers structural equation modeling with a latent interaction model is a daunting prospect. But actually latent moderation analysis is quite easy to implement in R and lavaan. Here I will show you how to analyse latent moderated structural equations in lavaan with the double mean centering approach. For double mean centering as an SEM moderation procedure we will use R's semTools package. Check out my STATISTICS CONSULTING services here: https://www.regorz-statistik.de/en/co... This is not the only available technique for modeling latent interactions. Other options for constructing a latent product term with lavaan include: Single centering Residual centering Matched pairs (however, you could use double mean centering with matched pairs) But according to Lin et al. (2010) double mean centering has some properties that make it superior for latent moderation analysis. Content: 0:00 Start 0:25 Principles of double mean centering for a SEM moderation model 4:44 Model fit with lavaan 6:28 Double mean centering in lavaan (indicators for a latent product term) 7:34 Latent moderation in lavaan 9:25 Probing interactions (simple slopes) with the semTools package Even though the procedure will be demonstrated with R/lavaan, you can use the principles with other SEM software, too, e.g. JASP, jamovi, AMOS, Stata. Companion webpage: https://www.regorz-statistik.de/en/la... The relevant paper for double mean centering for testing in SEM a moderation hypothesis: 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 Modeling, 17(3), 374-391. Documentation for the semTools package in R: https://cran.r-project.org/web/packag... About item parceling: Little, T. D., Cunningham, W. A., Shahar, G., & Widaman, K. F. (2002). To parcel or not to parcel: Exploring the question, weighing the merits. Structural Equation Modeling, 9(2), 151-173. R Example for double mean centering (however, with an error in the call of the indProd function): Schoemann, A. M., & Jorgensen, T. D. (2021). Testing and interpreting latent variable interactions using the semTools package. Psych, 3(3), 322-335.