AIC/BIC with different estimated models PreviousNext
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 Dorothea Müller posted on Friday, October 18, 2013 - 8:27 am
Im comparing a mediator model (type= general) with a moderator model, which requires numerical integration (type=random; algorithm= integration). Am I right in assuming that the AIC/BIC of the two models are not comparable? And if yes, why and is there any literature about this topic?
 Bengt O. Muthen posted on Friday, October 18, 2013 - 8:43 pm
If you have the same DVs in the two runs the AIC/BIC values are comparable.
 Dorothea Müller posted on Monday, October 21, 2013 - 8:01 am
Thanks for your quick response. My dependent variables are the same:
1. Mediator-Model:
Analysis: type=general
Model: X by X1.1. X1.2. X1.3. X1.4. X1.5
Y by Y1.1. Y1.2. Y1.3. Y1.4.
Y on Z C X
X on Z
X on C
Model indirect: Y ind Z; Y ind C;
2. Moderator-Model:
Analysis: type: random; algorithm= integration
X by X1.1. X1.2. X1.3. X1.4. X1.5
Y by Y1.1. Y1.2. Y1.3. Y1.4.

ZxX | Z xwith X;
CxX | C xwith X;
Y on X Z C ZxX CxX;

The mediator model has significant effects whereas the moderator model has no significant interaction-effects nevertheless BIC and AIC suggest the first model. Im aware that the information criterions have nothing to do with significance, even so I m still afraid that Im missing something regarding AIC/BIC.
 Bengt O. Muthen posted on Monday, October 21, 2013 - 5:01 pm
The model with interactions (moderation) has extra parameters and those are not significant. That means that BIC is worse for this model because the likelihood is not improved enough to compensate for the extra parameters. So the results make sense to me.
 Margarita  posted on Friday, March 27, 2015 - 7:52 am
Dear Dr. Muthn,

I wanted to clarify something about the AIC. Can it be used to compare models with different parameters? Or do they need to have at least the same number of parameters to be comparable?

Thank you!
 Bengt O. Muthen posted on Friday, March 27, 2015 - 9:03 am
Q1 Yes.

Q2. No. They need to have the same DVs.
 Margarita  posted on Friday, March 27, 2015 - 9:07 am
Thank you very much!
 Margarita  posted on Tuesday, September 15, 2015 - 10:22 am
Dear Dr. Muthen,

I have a followup question regarding AIC.

You previously said that AIC can be used to compare models as long as they have the same DVS. In mediation models, given that the mediators are considered to be DVs, I would not be able to compare models with different mediators correct?

For example comparing a simple mediation model :
X -> M -> Y

to a parallel model: X->M1, M2-> Y

If I understand correctly, the competing models need to contain the exact same number and type of DVs?

Thank you!
 Bengt O. Muthen posted on Tuesday, September 15, 2015 - 1:19 pm
Right.
 JHS posted on Wednesday, February 24, 2016 - 5:56 pm
Can AIC/BIC be compared when the IVs and DVs are reversed in two models?

Ex.

Model 1: X-> M -> Y
Model 2: Y-> M -> X

Thank you!
 Bengt O. Muthen posted on Wednesday, February 24, 2016 - 6:19 pm
No, you have to have the same DV for the metric to be comparable.
 JHS posted on Thursday, February 25, 2016 - 12:42 pm
Thank you. Is there a way to compare model fit in the above scenario then? (using all the same variables in each model)
 Bengt O. Muthen posted on Thursday, February 25, 2016 - 6:23 pm
I am not aware of it.
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