Is it possible to test the moderating effect of M (M is a moderators which is subject to influence of N) on the path from X (independent variable) to Y (dependent variable). I think this will be a multilevel moderation on path from X to Y. (X-->Y is moderated by N-->M). Can you please guide me through the process?
HI, I am sorry I did not explain it well. You can see the visual representation of my model following the link http://postimg.org/image/g0ex0qvtr/. The model has 3 IVs (lets say A, B and C) and 1 DV (Z). The paths between IVs and DV is moderated my M and P. Moderator M is further influenced by N (e.g. M can represent 'trust' and N is 'trust determinant').
Dan R. posted on Thursday, May 28, 2015 - 12:01 pm
For the time being, I've dropped the 1-1-1 mediation component from my model to first look at the level 2 moderation effect. My question is whether it looks like I set up my level 2 moderation effects (Y ON XW & Y ON MZ) appropriately (i.e., if these regressions are significant, can I claim level two moderation is supported). Here is the model with simplified variable names:
Thank you, Bengt. And for mediation tests at level 1 and level 2, have I set the following up correctly? Given the interaction effects, my understanding is that the overall chi-square and traditional fit statistics aren't available. So, should I report the BIC and SRMR for comparisons? I actually do get a Chi-square x(12)=6.213, but I'm not sure if this is for the overall multilevel model or just a portion of the model. Any insights you could provide would be greatly appreciated.
Usevariables are Y X M W Z XW MZ;
WITHIN = X M; BETWEEN = W Z; CLUSTER = Subject;
DEFINE: XW=X*W; MZ=M*Z;
Analysis: TYPE = TWOLEVEL; ESTIMATOR=MLR;
Model: %WITHIN% Y ON X (cw); Y ON M (bw); M ON X (aw);
%BETWEEN% Y W Z XW MZ;
Y ON W; Y ON XW (cb); Y ON Z; Y ON MZ (bb); MZ ON XW (ab);
MODEL CONSTRAINT: New(indirw directw totalw indirb directb totalb);
You typically don't have an interaction variable as a dependent variable as you do on Between saying MZ ON XW.
MZ is not a between-level variable given that M is measured on the within level.
I don't see which kind of interaction model you are after for Between, that is, it isn't clear if you want to moderate the x->m, x->y, or m->y paths. Putting aside that you are doing this on Between for 2-level model, maybe you want to study the Preacher et al (2007) MBR article on moderated mediation (single-level) to see how such interaction models are set up.
Approach 1. and 2. should be the same if the residual variance of s is zero. The s residual gets multiplied by the within predictor of Y.
Note that your syntax for approach 1. has 2 predictors of Y on within - but you can only define a random slope for one at a time. Note also that if on Between you regress s on predictors, the same predictors typically influence Y as well.