The general question is: If Model 1 has a certain structure, and in Model 2 you free some of the parameters, and fix others, are the models nested?

Specifically in the case I'm dealing with:

One model is a bifactor model (see Reise, 2012), but with two 'general' factors, and the specific-level factors correlated. So: My indicators each load on two factors - 1 of 6 specific factors, and one of 2 'general' factors. The correlations within the specific factors are free.

The second model removes the correlations within the specific factors (i.e., fixes them to zero) and adds a truly general factor (so that all the indicators load on it; so the loadings are freed compared to the previous model).

Are these models nested?


Figures of the models:


Figure or Model 1 - BiFactor Model


Figure of Model 2 - General Factor Added

  • $\begingroup$ Can you post figures of your models? That might help make this clearer. $\endgroup$ – gung - Reinstate Monica Aug 3 '16 at 17:03

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