This might shock some people, bit AIC does not give The Truth. If you have a 
model that fits almost as well, but is simpler, then I don't see a problem with 
using it. It's worth checking how much less of the variation is explain (e.g. 
using R^2), and also how different the fitted models are.

AIC has a tendency to give overly complex models (especially with lots of 
data), so I often use BIC instead, which tends too far in the other direction. 
Or, if the full model isn't too big, I don't bother with model selection, and 
report the full model.

HTH

Bob

Bob O'Hara

Tel: +49 69 798 40226 (in Germany)
Mobile: +49 1515 888 5440
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>>> Lee Davis <[email protected]> 12/01/10 23:44 PM >>>
I have what might seem to be a simple question regarding AIC and parsimony,
and yet the answers I have found on the subject are unsatisfactory. So,
opinions please.

Here is the scenario:

Let's say that one is using AIC for the selection of nested models to avoid
multiple LRT comparisons. Should you always choose the model with deltaAIC =
0 as the best? What if there is a model with deltaAIC <2 that has fewer
terms? Should it be chosen in the pursuit of parsimony? Or should you report
some support for both models? If so, what is the proper language in this
case?

Let's assume that we are avoiding model averaging.

Thanks,

Lee
-- 
Lee Davis
Graduate Assistant
State University of New York
College of Environmental Science & Forestry
Department of Environmental & Forest Biology
452 Illick Hall, 1 Forestry Drive, Syracuse, NY 13210

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