I have several variables (questions from a questionnaire) that regroup into several factors (using factor analysis). However, I would be interested in knowing how this factorial structure changes depending on another numeric variable (in my case, time).

From what I understood, SEM would allow me to estimate the influence of this "modulator" directly on the latent variables. But I am not sure I can estimate its influence on the link between variables itself.

What statistical method could help me addressing my question? Thanks

  • $\begingroup$ What's the modulator? (What's a modulator? Do you mean moderator?) $\endgroup$ – Jeremy Miles Aug 17 '18 at 18:10
  • $\begingroup$ A continuous variable that modulates / influences something else. From what I understood moderator is often used in the context of moderation analysis when one relationship is in fact "moderated" by another link. But in the end yes that's pretty close $\endgroup$ – Dominique Makowski Aug 17 '18 at 18:28
  • $\begingroup$ You should look at longitudinal invariance. $\endgroup$ – Jeremy Miles Aug 20 '18 at 2:02

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