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 patrick sturgis posted on Monday, August 20, 2018 - 9:26 am
Am I correct in thinking that for example 9.25, the model can only manage 2 levels, the cross-classified level and the individual level? e.g. pupils nested within the cross-classification of teachers and class-rooms. You would not be able to include an additional cross-classified level e.g. teachers and class-rooms nested within cross-classification of schools and neighborhoods?
 Tihomir Asparouhov posted on Monday, August 20, 2018 - 12:47 pm
Yes that is correct. Currently there are two options. One would be to use a three-level run to impute the between level effects and then run the crossed level via two-level ML with type=imputation. The second option is to evaluate (again with a three level model) the effect of the two nested levels and retain the level that has bigger effect for the cross classified model.
 patrick sturgis posted on Friday, September 07, 2018 - 10:33 am
Thank you

I have estimated the model in example 9.25. Is it possible to obtain the indirect effect? In this example there is an indirect effect of x on y2 via y1 but the output does not seem to display an estimate for the indirect effect.
 Linda K. Muthen posted on Friday, September 07, 2018 - 1:42 pm
You need to specify the indirect effect in either MODEL INDIRECT or MODEL CONSTRAINT to obtain the indirect effect estimate. I don't believe MODEL INDIRECT is available with CROSSCLASSIFIED.
 Kerry Lee posted on Monday, December 10, 2018 - 5:51 pm
Referring to Tihomir's post on August 20, are there some sample syntax on the first option (i.e," use a three-level run to impute the between level effects and then run the crossed level via two-level ML with type=imputation.")?

Second, if the initial imputation involves generating a H0 model using Bayes, would this cause difficulties when used in the subsequent cross-classification model? I read in a older post that "using Bayes on imputed data creates technical issues for the credibility intervals so Mplus does not allow it" (from http://www.statmodel.com/discussion/messages/22/14898.html?1534980965).
 Tihomir Asparouhov posted on Tuesday, December 11, 2018 - 12:04 pm
You would add to your three level file
savedata: file 1.dat; save=fs(10,100); factors = all;

Some manual manipulation would then be needed (it can easily be done in excel) to subtract the 2 between levels and form the 10 new files. Those can then be analyzed as in User's Guide example 13.13 but with a two-level model and the alternate clustering.

If you want to stay with Mplus you can. Look at the end of the three-level output. It will look like this

Y F10.3
+B2_Y F10.3
B2_Y Mean F10.3
B2_Y Median F10.3
B2_Y Standard Deviation F10.3
B2_Y 2.5% Value F10.3
B2_Y 97.5% Value F10.3
+B3_Y F10.3
B3_Y Mean F10.3
B3_Y Median F10.3
B3_Y Standard Deviation F10.3
B3_Y 2.5% Value F10.3
B3_Y 97.5% Value F10.3

The plus here is key and in represents the imputed 10 columns. To get the first imputed data set you would run something like this

file is 1.dat;
variable: y1-y31 y;
usevar y;
define: y=y1-y2-y17;
savedata: file=imp1.dat;
type=basic;

To get the second imputed data set you would use
define: y=y1-y3-y18;
etc.

In that process you would have to do all variables at the same time and include unchanged other variables you need.

Keep in mind that you can alternatively impute the other level and analyze the three level with imputation.
 Tihomir Asparouhov posted on Tuesday, December 11, 2018 - 12:06 pm
Regarding your second question I don't think you need to analyze the imputed data sets with Bayes. Use ML to analyze the imputed data sets.
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