Thanks for your reply, David. I have tried FIML estimation with auxiliary
variables, but I run into convergence issues when I include all of the
variables in my imputation model as auxiliary variables. I can get the
models to converge by reducing the set of auxiliary variables, which is
what I'll end up doing if it comes to that, but I think I'd get better
estimates of the missing values if I include all of the variables I used in
my imputation model.

So if anyone knows how to get the chi-square scaling correction factor out
of Mplus with a multiple imputation analysis I'd love to hear about it,
otherwise I'll just go with the ML estimation using a smaller set of
auxiliary variables.

-Sean


On Wed, Oct 31, 2012 at 2:46 PM, DAVID R JOHNSON <[email protected]> wrote:

> I don't know why you don't use the ml missing data estimation method.
> Simulations have found that multiple imputation with a sufficient number of
> imputed data sets yield nearly identical estimates to those obtained using
> the maximum likely (FIML) method. This could solve your problem.  If you
> are concerned about the estimates you could compare the coefficients to
> those you are using presently to see if you get much difference.
>
> David J.
>
>
> ------------------------------------------------------------------------------
> David R. Johnson
> Professor of Sociology, Human Development and Family Studies, and
> Demography
> Department of Sociology
> 713 Oswald Tower
> The Pennsylvania State University
> University Park, PA 16802
> 814-865-9564
> [email protected]
>
> -------------------------------------------------------------------------------
>
>
> ----- Original Message -----
> From: "Sean Hurley" <[email protected]>
> To: [email protected]
> Sent: Wednesday, October 31, 2012 1:11:36 PM
> Subject: Chi-square scaling correction factor under MI
>
> Hi all - I am working on some path analyses (in MPlus) using MLR estimation
> (because of some non-normality in our data and because we need to
> include sampling weights). We also have missing data, which I'd prefer
> to deal with using multiple imputation.
>
> I'm running into a problem doing some moderator analyses (e.g., by sex)
> on some of the paths in the model. The approach I'm taking is to do a
> multiple group analysis (e.g., males vs. females) and testing the
> Satorra-Bentler corrected difference in chi-square statistics for the
> models in which the path of interest is constrained be invariant between
> the two groups vs. models in which the path is not constrained. The
> problem is that in order to compute the Satorra-Bentler corrected test
> of differences in chi-square, I need the scaling correction factor for
> the chi-square statistic which is not included in the output of multiple
> imputation analyses. A message from Linda Muthen on the Mplus blog (from
> 2006, if I remember correctly) indicated that nobody has worked out how
> to compute the scaling correction factor under multiple imputation, and
> that it's not as straight-forward as simply averaging them across the
> results for the individual imputations.
>
> So I was wondering if you know a way to get the scaling correction
> factor in this context (I'm open to using other software if necessary),
> or have any suggestions for different approaches I might take for
> testing moderation and/or handling missing data. I've tried FIML
> estimation using auxiliary variables, but I'm having convergence
> problems when I include all of the auxiliary variables I want to include
> in these multiple-group analyses (and the models take FOREVER to run,
> which makes tweaking and adjusting cumbersome).
>
> In case it matters, all of my variables are continuous except for the
> grouping variables.
>
> Thanks for any insights you might have!
>
> -Sean
>

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