1 X 1 interaction on Level 2 Variable PreviousNext
Mplus Discussion > Multilevel Data/Complex Sample >
 IH posted on Monday, April 02, 2018 - 7:56 pm
Dear Drs Muthén,

I am looking to INTERACT two Level 1 variables (1-1) to predict a Level 2 outcome.

In other words, this is 1x1 -> 2 model.

Although Preacher (2011) provides Mplus code for a 1-1-2 MEDIATION model, I am wondering if it is possible to use Mplus to for a 1x1 INTERACTION on a Level 2 variable.

That is, how do I bring that interaction up to the latent level? I do not wish to simply create group averages of the two Level 1 variables, as that would make for a 2 x 2 -> 2 model, and the meaning of the theory / idea I am trying to test would be changed.

I understand that such a bottom-up model is relatively rare and typically challenging from a statistical standpoint, but I am wondering if there is any capability within Mplus to create and reasonably interpret a 1 X 1 -> 2 model as described.

Any and all help would be appreciated.

Thank you!
 Bengt O. Muthen posted on Tuesday, April 03, 2018 - 10:51 am
You can use Define to create the product and then not declare it as a Within variable - that way it will be latent-variable decomposed and the latent between part can be used on Level 2 as a predictor. The question is - from a substantive point of view - should the interaction be latent variable decomposed (as what I described) or should each variable be latent variable decomposed and then on Level 2 be made into an interaction (e.g. by putting a factor behind each on Level 2 and using XWITH).
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