10 hours of the full soundtrack of LotR
I mean honestly it would save me lots of time and worry haha
Shameless self promotion but if you want an automated way to generate the expansions for SEM growth models, github.com/E-M-McCormic...
I also lay out an approach for estimating any nonlinear function as a linearized SEM through the use of Taylor series expansions. And so you don't have to do the math, I did it for you! With automatic {lavaan} syntax generation using the {leni} package function leni_sem().
Which let's you do all sorts of cool things, like test whether boys really are developmentally delayed compared with girls. Or using a multiphase version, to model puberty or cortical thinning.
General approach is to define a set of transformations for a linear function to a corresponding set of nonlinear parameters that more closely match developmental features of interest. For instance, the timing of developmental transitions or the height of a quadratic peak. See a cubic example below.
New paper+package combination for linear estimation with nonlinear inference (LENI) - methods to obtain the results of a nonlinear model without the hassle of nonlinear estimation. Presented this at Flux this fall and really excited to see it out! osf.io/preprints/ps...github.com/E-M-McCormic...