We'll next consider what is known as the "equivalent models" problem, and other cautions and limitations of SEM. In doing so, we will look at two articles that are available via the TTU library's website:
MacCallum, R.C., Wegener, D.T., Uchino, B.N., & Fabrigar, L.R. (1993). The problem of equivalent models in applications of covariance structure analysis. Psychological Bulletin, 114, 185-199.
(We'll also have a song about the equivalent models problem, entitled, "Your Model's Only One.")
Tomarken, A.J., & Waller, N.G. (2003). Potential problems with "well fitting" models. Journal of Abnormal Psychology, 112, 578-598.
In addition, regarding one of MacCallum et al.'s suggestions, here's an article that incorporates participation in a randomized experimental program (yes/no) into an SEM model.
Florsheim, P., Burrow-Sánchez, J., Minami, T., McArthur, L. & Heavin, S. (2012). The Young Parenthood Program: Supporting positive paternal engagement through co-parenting counseling. American Journal of Public Health, 102, 1886-1892.