I am running a model and want to see if the paths are moderated by sex (boys vs. girls). I get non-significant chi square difference, suggesting that the paths are not moderated by sex. When I look at the paths coefficients in the unconstrained model, one of the paths in my mediation model going from the mediator to the outcome is significant for girls but not for boys. I can make theoretical sense of it. However, what I don't understand is why the chi square shows the moderation but when I look at the individual paths for boys and girls the path for girls is significant and for boys is not. Since there is no moderation based on the chi square diff. test, do I report this path that is significant for girls but not boys? What would be the name of this effect (obviously not interaction effect). Will simple main effect for that particular group (girls) be accurate? Thanks in advance.
The test in each group of a coefficient is a test that the parameter is significantly different from zero. A difference test is a test of whether or not the two parameters are equal to each other. You can get a z-test to test if the parameters are equal to each other using MODEL CONSTRAINT. It should agree with the chi-square difference test.
MODEL CONSTRAINT: NEW (diff); diff = p1 - p2;
whre p1 and p2 are labels in the MODEL command for the parameters to be tested.
I have a similar situation - the Chi square (difftest) shows a significant difference between two groups on one moderator w. When I look at the path size (and p) for each group however, the two paths have a p>.05.
Additionally, when exploring a second moderator I obtain a significant Chi square but when I explore the paths for the two groups, I find that the path is significant for 1 group but not the other.
Is there any point reporting these results? especially, if the path is not significant for the groups of interest?
Or should I simply report and focus on the estimate of the path for each group and ignore the p value?