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