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.
Dear Dr. Muthen, I have few questions regarding multilevel moderation. First, can we test within and between level moderation? (e.g. Independent variables are based on between level and moderators are based on within level). Second, if so, which syntax are required to test multilevel moderation. I have not find any relevant syntax for my model in which independent variables (level 2) are based on between level and moderators and dependent variables are based on (level 1) within level. Thank you in advance.