I'm interested in a relationship of 2 growth processes and wish to examine which process precedes the other.
In order to do this, I analyzed 2 sequential latent growth curve models: regressing growth factors of A on growth factors of B and vice versa. Also, to examine the gender effect, I performed multiple group analysis in each model.
But one of our colleagues said that they are statistically equivalent and trying both models is not so appropriate.
What do 'equivalent models' mean? And is it really so inappropriate to analyze that way?
If so, what other alternatives would you suggest in order to figure out which growth process comes first and to examine the gender effect additionally?