Dear Drs. Muthen, I am running path analyses and comparing the AIC values of competing models. Since some of my variables are categorical and some continuous, sometimes a change in only the direction of one of the direct effects may change the model from linear regression to logistic regression. I got the impression that in all these cases, the AIC value significantly increases, independent on the specific variables and the relationships among them. Am I correct? If so, what is the right way to compare between these models? Thanks in advance, Hadas
I am sorry that I was not clear. I will give you an example. I wish to compare the AIC values of two alternative models, with parameters A-D, where “A” is a continuous variable and “B” is a categorical variable. The models are identical except for the last line: MODEL 1: A on C; A on D ; B on A; AIC= 301.750
MODEL 2: A on C; A on D ; A on B; AIC= 241.887
As you see, I received a lower AIC value for the second model and I was wondering whether the reason for the lower AIC value in model 2 could be that in this model the last line represents a linear regression whereas in model 1 it represents a logistic regression (since B is categorical). Thanks in advance, Hadas
Thank you very much for the helpful answer. Is there any way to compare between competing models that have different mediators? For example, if I wish to know whether the indirect relations between A and B are mediated by C or D?