Is there a reason you are mentioning the variances and covariances of the observed exogenous variables in the MODEL command. The model is estimated conditioned on these variables. Their means, variances, and covariances are not model parameters.
For some estimators you can say MODEL=NOMEANSTRUCTURE in the ANALYSIS command. Note that having unstructured means, intercepts, and thresholds does not affect model fit.
I was taught by my institution to include the variances and covariances of IVs in the model command. This is inclusion / exclusion of this in the model command has not historically mattered, so I typically include them. If this is not impacting model fit, then that works for me. Thank you!
Having means, variances, and covariances of observed exogenous variables in the model has no impact only when all observed dependent variables are continuous and there is no missing data. In all other cases, it changes the model. In regression, a model is estimated conditioned on the observed exogenous variables so no distributional assumptions are made about them. Their means, variances, and covariances are not model parameters.
I am conducting a path analysis using all continuous variables, bootstrapped standard errors, and indirect effects. In my output I noticed that one of my intercepts is negative and nonsignificant. How should I interpret this finding, and is this a cause for concern?
Follow up question: I would like to exclude the intercepts to run regressions through the origin (as can be done in SPSS with the command /origin). I would like to do that as I want to test the mediated effect of four experimental groups on behavior. As I want to test all the groups against each other, I do not want to use three coding variables representing the four groups but I would like to enter the four groups as four independent variables. This can easily be done within SPSS by exactly using the command “/origin”, so that the regression is calculated through the origin and the four groups can be represented by an independent variable each. I would like to do the same now within Mplus to run a mediation model (and not only the direct effect which I tested in SPSS). I hoped that I can do that by applying the command MODEL=NOMEANSTRUCTURE. Unfortunately, this is not possible and I get continuously the following warning: WARNING: THE SAMPLE COVARIANCE OF THE INDEPENDENT VARIABLES IS SINGULAR. PROBLEM INVOLVING VARIABLE E8PCHW5. NO CONVERGENCE. SERIOUS PROBLEMS IN ITERATIONS. CHECK YOUR DATA, STARTING VALUES AND MODEL.
Is there an option to run regression through the mean within Mplus? Can I use the MODEL=NOMEANSTRUCTURE but then my question is: why do I get this warning.