Dear all,

I want to compare some different models for a dataset by QQ plots and AIC. I get the following AICs:

- linear model: 19759.66
- GAMLSS model: 18702.7
- linear model with lognormal response: -7862.182

The QQ plots show that the lognormal model fits better than the linear model, but still much worse than the GAMLSS. So, in my opinion, the AIC of the lognormal model should be between the AICs of the both other models. What happens here? 
Btw: For the lognormal model, I transformed the response variable by log(). Apart from that, I used the same formula as for the linear model.

Thanky in advance for your help!
Andreas



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