Invariance of path coefficients PreviousNext
Mplus Discussion > Structural Equation Modeling >
 Mike C Parent posted on Tuesday, September 24, 2013 - 6:43 pm
I'm testing two groups in an SEM. I went through measurement invariance testing and the measures look equivalent across groups. I'd like to test for invariance in path coefficients. My MODEL was:

Surv by SurvP1 SurvP2 SurvP3;
Accept by AcceptP1 (1)
AcceptP2 (1);
Control by ControlP1 (2)
ControlP2 (2);
CUSE by sexmech sexobtain sexdissassert;

Int4 on CUSE (3);
CUSE on Accept (4)
Control (5);
Accept on Shame (6);
Control on Shame (7);
Shame on SATAQ (8)
Surv (9);
Surv on SATAQ (10);

I thought the (x) numbers would constrain across groups, and show MIs for paths to free, but it doesn't. The model df drops by only 2, so I think I'm doing the constraints wrong. I want to test for differences among all the paths, between the two groups.

Accept and Control have constraints per Kenny on latent variables with two indicators (, cond. B.2.b.). Is this is messing up the multigroup model (by constraining each pair to equality across both models)? I don't know how to fix this (add a Model Yes: and free those between groups? I'm not sure that's right)
 Linda K. Muthen posted on Wednesday, September 25, 2013 - 6:44 am
Please send your output and license number to
 Samantha-Kaye Johnston posted on Wednesday, May 30, 2018 - 10:46 am
If I am only interested in examining pathway differences (rather than mean differences in the latent variables) between groups, is it necessary to establish factor mean invariance? Can I terminate the analysis at the factor variance-covariance stage?
 Bengt O. Muthen posted on Wednesday, May 30, 2018 - 2:37 pm
Q1: No, metric invariance is sufficient for this.

Q2: Yes.
 Samantha-Kaye Johnston posted on Wednesday, May 30, 2018 - 3:31 pm
Thank you Bengt
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