Thank you very much for your many responses so far!

>The reason for the confusion is that Bonnie presented the log likelihood 
>values with the wrong sign

I presented the values that SAS gives for log likelihood of my GENMOD models 
with a negative binomial distribution.  (I only presented the largest and 
smallest AIC of a list of many possible models).

log likelihood          k       AIC
532.5052        16      -1033.0104
509.8392        58      -903.6784

An (edited) response to explain why the positive values:
[SAS reports only the 'pertinent part' of the likelihood; it leaves out 
constants that, if included, would result in the real likelihood and a 
negative log likelihood.  Therefore, you can test which independent 
variables are significant, but you can't compare models fit with the 
negative binomial to models fit with the normal nor to models fit with the 
Poisson using the SAS output.]

Is it OK to use this “modified log likelihood” in AIC?

It sounds like, from most of the responses I received personally and on the 
list, that (if I decide to use AIC or AICc, which yielded the same order of 
models) I should choose the one with the smallest AIC, not the smallest 
absolute value of AIC.

I am enjoying learning the different thoughts on if/how appropriate AIC is 
for ecological application.
thank you!
Bonnie

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