[R] Fit indexes in SEM with categorical data + ML estimation

jebyrnes byrnes at msi.ucsb.edu
Tue Mar 3 19:13:57 CET 2009

Hey, Dorothee.  SEM does not use the S-B chi squared index.  If you want to
use it, however, I have some methods written for the Satorra-Bentler Chi
Square test in the sem.additions package over at r-forge.

To install it directly within R type

For more details, see http://r-forge.r-project.org/projects/sem-additions/

Dorothee wrote:
> Hello,
> It has been found that SEM analysis using polychoric correlations +
> maximum likelihood estimator produces incorrect test statistics and
> standard errors (e.g., Flora, D. B., & Curran, P. J. (2004). An Empirical
> Evaluation of Alternative Methods of Estimation for Confirmatory Factor
> Analysis With Ordinal Data. Psychological Methods, 9(4), 466-491).
> Standard errors can be dealt with by using bootstrap estimations. But, I
> was wondering how the fit indexes in the SEM package were estimated when
> the observed variables are categorical (ordinal or/and binary) and when
> one is using polychoric correlation (hetcor in polycor package) in
> combination with ML. Does SEM use the Satorra-Bentler rescaled Chi-square
> for instance?
> I look in previous posts but couldn't find what i am looking for (hope i
> looked well enough!).
> Cheers,
> Dorothee

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