Can AIC be negative?
Understand the Problem
The question is asking if the Akaike Information Criterion (AIC) can have negative values. The AIC is a measure used in statistics for model selection, and it can have negative values depending on the log-likelihood of the model being evaluated.
Answer
Yes, AIC can be negative.
The final answer is that AIC can indeed be negative
Answer for screen readers
The final answer is that AIC can indeed be negative
More Information
Negative AIC values occur due to the inclusion of a component on the log-scale or the omission of an additive constant in the likelihood calculation. Such values indicate less information loss and possibly a better model fit.
Tips
A common mistake is to assume negative AIC values indicate a problem with the model. Instead, focus on the relative comparison of AIC values across models.
Sources
- Negative values for AIC in General Mixed Model - Cross Validated - stats.stackexchange.com
- If my AIC and BIC are negative, does that mean that more ... - Reddit - reddit.com
- AIC & SBC negative - Forecasting - SAS Communities - communities.sas.com