Thank you for your quick response. I am using the 3-way interaction term as an independent variable. Do I need to include all two-way interactions in the ON statement as I would in a regression? Thanks again for your help.
I've obtained a significant 3-way latent variable interaction using the following LMS syntax (measurement model omitted):
XW | X XWITH W; XWZ | XW XWITH Z;
Y ON X W Z XW XWZ;
1. Is this the correct syntax for a 3-way latent variable interaction?
2. If so, can you recommend a way of plotting simple slopes based on the model output for the relationship between X and Y at different levels of the two moderators (e.g., W and Z both 1SD above the mean)?
The MODEL CONSTRAINT/LOOP function works wonderfully for my 2-way interactions, but I'm struggling to adapt it to 3-way interactions as specified using the above syntax. Alternative simple slopes tools seem to require all possible 2-way interactions between X, W and Z to be specified within the same 3-way model (e.g., http://www.quantpsy.org/interact/mlr3.htm), leading me to question my syntax.
2. You will get a fuller answer by posting this general modeling question on SEMNET.
tom norton posted on Monday, August 24, 2015 - 8:58 pm
Is it possible to test a 3-way interaction by creating an interaction term among two level 1 variables, regressing the DV on the interaction term (creating slope s1), and then regressing s1 on the third variable (a level 2 variable)?