

Explaining group diffs in multiplegr... 

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Hello! I am new to CFA / SEM, so I apologize in advance if this question is poorly worded. I really appreciate your help! I have achieved scalar variance on a measure with two factors (Supportive and Nonsupportive) with categorical indicators across three ethnic groups. I have also found there are meanlevel differences between the groups, and I want to see if three different indicators of povertyrelated risk explain these meanlevel differences. The three risk indicators are also correlated, so I want to see how they each may uniquely explain some of the differences between groups. How would I do this in a CFA/SEM framework? Would it be some sort of SEM mediational model? I know I would do an ANCOVA if these were not modeled, latent values, so I wasn't sure how to translate this to CFA/SEM. Thank you!!! Alyssa 


Once you have established scalar invariance, you could turn to a singlegroup analysis where ethnicity is represented by 2 dummy variables that influence the factors and not the indicators directly. That is saying the same thing as your 3group analysis. Then you can add your risk variables to predict the factors and ask regular linear regression questions. For instance, you can see if a risk variable has an effect on a factor holding ethnic group constant. 

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