Hello All,

I have a question about measurement invariance in a multigroup SEM. I am of the 
impression that one cannot test the equality of structural paths across groups 
without demonstrating measurement invariance of latent factors first. At a 
minimum, this would involve demonstrating that corresponding factor loadings do 
not differ across groups using, say, a difference in chi-square test. 

Am I right about this? 

Is there any published work that argues it is possible to compare the 
structural paths without demonstrating measurement invariance first?

Thanks,

Paul

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