I've requested for MPlus to save the individual loglikelihoods using the SAVEDATA; SAVE=LOGLIKELIHOOD; function and it seems to be outputting the log likelihoods commensurate with H1 rather than the fitted model H0.
Is there any way to get the log likelihoods from the fitted model instead?
Apologies if this is a naive question, but why does the unrestricted (H1) model LL change when there are exogenous covariates in the model compared to a model without covariates? My understanding is that the H1 represents the variance-covariance matrix of the endogenous variables.
Does this change because the endogenous variables are conditioned on the covariates and thus the unrestricted model is the covariance of the residual variance?
I ran a saturated Model in the Mplus, with the following code:
%Within% Y1 with Y2-Y4; Y2 with Y3-Y4; Y3 with Y4;
%Between% Y1 with Y2-Y4; Y2 with Y3-Y4; Y3 with Y4;
when I ran this model, it has shown the Loglikelihood values
H0 Value -4906.448 H1 Value -4905.948
Q) My question is, when we are running a Saturated (Unrestricted) Model, why would it show two different values of H0 & H1? I feel that, the Unrestricted Model (H1 value) & test model (H0 value), which is also Unrestricted (i.e., Saturated), should have the same value... Why are the both values not same?