

1 X 1 interaction on Level 2 Variable 

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IH posted on Monday, April 02, 2018  7:56 pm



Dear Drs Muthén, I am looking to INTERACT two Level 1 variables (11) to predict a Level 2 outcome. In other words, this is 1x1 > 2 model. Although Preacher (2011) provides Mplus code for a 112 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 bottomup 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! 


You can use Define to create the product and then not declare it as a Within variable  that way it will be latentvariable 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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