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)?
Buta Urge posted on Monday, June 20, 2016 - 3:23 am
Dear Profs. Muthen, I am happy if you refer me to any information which explain: How Mplus (LMS approach) calculate 3-way continuous latent variable interaction? is it based on the Klein and Moosbrugger(2000) article? The assumption based on this article was for two-way interaction.
Hi I derived R -square for three way latent interaction. In monte carlo simulation,can i use the derived R-square formula to fix the value of the residual variance for the dependent latent variable?or I use R-square= 1-residual variance of the dependent latent variable ?
Thank you Prof Bengt, I think i did wrong in simulation. I set value for residual variance for dependent latent variable=0.4 I think the derived formula for R-square must not give me R-square=0.6 right? After inserting population values here is what i got from the formula with residual var=0.4: Total variance for dependent=1.68 R-square =0.76