I think I've figured it out, the AIC column is the IMPROVEMENT in AIC
compared to the null model. So bigger values are better.
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The AICs do not seem right to me either. Unless I am missing something, it
appears that the formula:
AIC= -2x logLik -2k
is being applied, rather than:
AIC= -2x logLik +2k
Meaning models with fewer degrees of freedom are being penalised.
So in your example I make the degrees of freedom
9.61 +2
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