Hi Drs. Muthen, I am not sure where to post this, but I just finished reading "Generalized Latent Variable Modeling: Multilevel, Longitudinal and Structural Equation Models" (similar to the Psychometrica piece with Pickles) by Skrondal & Rabe-Hesketh. I was wondering where you stood on their approach (i.e., GLLAMM). They critize the multigroup approach to M-level anlayses, but only LISREL seems to do that now. I am ingorant as to much of the math underlying Mplus, but it seems Mplus's approach is quite similar (and I've heard as being much faster). Do you know where the two approaches/programs differ markedly and when one might be more advantageous than the other. thanks!
Michael J. Zyphur
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The spirit of general latent variable modeling introduced with the emergence of Mplus in 1998 is also present in the nice book of 2004 by Skrondal-Rabe-Hesketh and in their related computer program GLLAMM, but there are some key differences with respect to interface, models, and algorithms. GLLAMM has a technical-statistical interface where the user needs to specify models in terms of matrices, whereas Mplus has a simple, non-technical interface. The modeling framework of Mplus is more general than that of GLLAMM, for example modeling with a very flexible combination of continuous and categorical latent variables and random slopes with continuous latent variables. The computations of Mplus are considerably faster than those of GLLAMM both because Mplus has a more efficient executable platform and because with full ML estimation Mplus avoids numerical integration wherever possible and Mplus also offers other, quicker estimators. If you point me to the pages where the critique of the multigroup approach is given, I can respond to that aspect.