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Apr 14, 2018 at 1:10 history edited Jeremy Miles CC BY-SA 3.0
Fixed indents.
Apr 13, 2018 at 20:07 comment added Jeremy Miles Yes, this is called the saturated model, and has perfect fit - chisquare is zero, df is zero. SEMs can be evuated against one another if the models are nested. The model can be thought of as being compared with the saturated model.
Apr 13, 2018 at 17:27 comment added AdamO Very illuminating, thank you. I have a question about the relevance of the sample covariance matrix. In categorical analyses, we can create a saturated model where the fitted values are the empirical proportions. That forms the basis of the Chi-square goodness of fit test. Is there a concept of an SEM model which results in the sample covariance matrix as a fitted matrix? If so, how is such a model constructed?
Apr 13, 2018 at 16:24 history answered Jeremy Miles CC BY-SA 3.0