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Great question! (Almost a professional statistician here!) Let's see if I can try to answer your question. Whuber gave a comment on what the typical strategy that someone might follow. I'll try to complement that by providing a couple papers that talk specifically about properties of tests when assumptions are violated. I'm doing this since, if I had a ...


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I do not think that GROUP being binary is itself the issue, but GROUP may be contributing to the worsening of fit between CFA (factor covariances unstructured) and the structural model. GROUP could be contributing in two ways. First, your model implies that all covariance between Experience and Money is due to those factors' joint dependence on GROUP--and ...


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