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Mplus Discussion > Missing Data Modeling >
 Scott Weaver posted on Tuesday, February 07, 2006 - 12:22 pm
I am seeking clarification of a sentence on pg. 340 under 'Missing Data Analysis' of the Mplus manual (version 3): "Robust standard errors and chi-square are available for all outcomes using the MLR estimator."
This statement had led me to believe that if I specify Type=Missing and Estimator=MLR, then I would receive robust SE estimates under MAR. However, I was recently discussing this with someone who is certain that Mplus is implementing the procedure outlined in Yuan & Bentler (2000), to provide robust SE with missing data - but that Yuan & Bentler maintain that that they are assuming MCAR. Am I to assume that when data are nonnormal, the robust SE and chi-square statistic hold only under MCAR (though they may perform fairly well under MAR)?

Thanks in advance for the clarification.
 bmuthen posted on Wednesday, February 08, 2006 - 10:52 am
The exact condition for which MLR is correct are these: If [Y|X] is non-normal and the missing patterns are either MCAR or MAR but only predicted by X and not Y then MLR gives valid results. This condition in between MCAR and MAR.

see for example the last two simulations in Web Note 2
 Dustin Pardini posted on Thursday, March 23, 2006 - 2:33 pm
I am estimating a growth model with a continuous non-normal observed outcome that has some missing data. I am currently using the Type=Missing command in conjunction with Estimator=MLR, but this combination does not provide traditional fit indices to evaluate the fit of the growth curve.

I have looked at the model using the MLR estimator with listwise deletion and it a linear growth model fits the data well. However, it seems weird to present fit statistics for a listwise deleted model and then use an MLR estimator to handle missingness for the substantive model.


 Bengt O. Muthen posted on Thursday, March 23, 2006 - 3:30 pm
Try TYPE=MISSING H1; You should then get the fit statistics you want.
 Dustin Pardini posted on Friday, March 24, 2006 - 5:00 am
Thanks Bengt. Beginners mistake on my part. Can you suggest a reference that discusses the theoretical and statistical differences between using the "missing" and "missing h1" commands in Mplus?

 Linda K. Muthen posted on Friday, March 24, 2006 - 6:07 am
Sometimes estimating the unrestricted model can take time and be difficult when there is a lot of missing data so we allow the users the option of not estimating it or not.
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