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Akaike Information Criterion (AIC) and Predictive sum of squares error (PSSE) are information theoretic and predictive capability assessment measures to rank the models.

I was trying to rank the models based on these two criterions. However, the rankings are completely contradicting, meaning, 6 models which are ranked best based on AIC is being ranked least based on PSSE.

In this kind of situations how do I decide which measure is the best. I tried to look for some article or research papers but unfortunately I could not find much. Any information would be appreciated.

Thank you!

merv
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