I was hoping to get clarity on the moderation results I found.
1) First, I tested the model in one sample to make sure it's fitting well (÷2 = 6556.63, df = 3131, p<.01; CFI = .93; TLI = .93; RMSEA = .04). 2) Second, I tested the 2-sample model (males and females) where I contrained 4 paths of interest between groups (÷2 = 12209.30, df = 6279, p <.01; TLI = .85; CFI = .85; RMSEA = .05). 3) Third, I uncontrained these 4 paths to test for chi square difference (÷2 = 12199.70, df = 6275, p <.01; TLI = .85; CFI = .85; RMSEA = .05).
Given that I did not explicitly code for any other contraints, I'm struggling to understand why the model fit of the third model is not approximating that of the first model (single sample) if there are no between-group constraints in the third model. Does Mplus automatically place constraints on any parameters (e.g., variances, errors)?
Thank you in advance for your help, Viktoriya Magid
In 3, it looks like some parameters are still constrained. If they were all unconstrained, the degrees of freedom would be 6262. They are not. See TECH1 to find the parameters that are still constrained to be equal.