

Testing of configural invariance 

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Sung Kim posted on Monday, July 27, 2009  9:34 am



I am doing a configual invariance testing (MGCFA) cross two groups. Could you let me know whether my syntax is correct? I have 10 factors measured by 50 indicators (ordered or continuous)? After fitting the two models, I can do a chisquare difference test. Right? Unconstrained model GROUPING is gr (1=gr1 2=gr2); Model: f1 by y1y5; ... f10 by y46y50; [y1y5]; ... [y46y50]; [f1f10]@0; Constrained model Model: f1 by y1y5; ... f10 by y46y50; [y1y5]; ... [y46y50]; Model gr1: f1 by y1y5; ... f10 by y46y50; [y1y5]; ... [y46y50]; Model gr2: f1 by y1y5; ... f10 by y46y50; [y1y5]; ... [y46y50]; 

Sung Kim posted on Monday, July 27, 2009  10:32 am



I've just looked at Mplus UG. In p.399, the most unrestrictive model, where intercepts, factor loadings, and residual variances free across groups but factor means fixed at zero in all groups, represents the configural invariance? So the constrained model should be: Constrained model Model: f1 by y1y5; ... f10 by y46y50; [y1y5]; ... [y46y50]; Model gr1: [f1f10]@0; Model gr2: [f1f10]@0; However, in the unconstrained model, Model: f1 by y1y5; ... f10 by y46y50; [y1y5]; ... [y46y50]; Is it correct? Thank you so much! 


The Topic 1 course handout contains the inputs for testing measurement invariance. You should check against those. The following specification is not correct: [f1f10]@0; It should be: [f1f10@0]; 

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