Hello,
I am interested in testing a model using a cross-lagged panel design; both X and Y are measured at T1 and T2. I think the XY and YX associations have the potential to be nonlinear, both within and across time points. Is it possible to integrate quadratic X and quadratic Y into a cross-lagged panel design (for example, something like the attached figure?). If so, does anyone have any published examples where this approach has been used?
Thank you!
Melissa
Melissa, in general this is possible. However, I would not square the dependent variables, but only add squared independent variables to your model.
Here is an article that may be helpful for you:
Selig JP, Preacher KJ, Little TD. Modeling Time-Dependent Association in Longitudinal Data: A Lag as Moderator Approach. Multivariate Behavioral Research. 47: 697-716. PMID 24771950 DOI: 10.1080/00273171.2012.715557
https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3997054/pdf/nihms530097.pdf
Regards, Karin
It seems OK. However I did not find any example to send you here. You may google to find it
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