Invariance of path coefficients PreviousNext
Mplus Discussion > Structural Equation Modeling >
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 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:

MODEL:
SATAQ by SATAQP1 SATAQP2 SATAQP3;
Surv by SurvP1 SurvP2 SurvP3;
Shame by SHAMEP1 SHAMEP2 SHAMEP3;
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 (http://davidakenny.net/cm/identify_formal.htm, 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 support@statmodel.com.
 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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