Yiu-Fai Yung <[EMAIL PROTECTED]> wrote in message 
news:<[EMAIL PROTECTED]>...

> In summary...the usaul ML fitting without missing data in SEM is
> indeed FIML under the normality assumption. It is only done more
> efficiently using sufficient statistics. There is a parallel situation
> in regression. To estimate the regression coefficients you only need
> the covariance matrix of all variables.

Thank you very much for this good explanation. 

Perhaps the poster's point would be that FIML of raw data gives one,
in principle, the opportunity to reject a model for distributional
reasons:  that is, it combines a test of MV normality assumptions with
the test of the SEM.

To follow up on the regression analogy, note that
mixture-of-regression models are done via FIML on raw data, not on
covariances.  The same would be true of mixture-of-SEMs.

But how to assess model with raw-data FIML?  One option is to use
parsimony indices like the AIC and BIC.

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John Uebersax, PhD             (858) 597-5571 
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