Information Criterion (AIC and BIC) are used to compare competing regression models. Which statement correctly differentiates AIC from BIC for model selection?
Select an answer to reveal the explanation.
Short Explanation
Here's the deal — BIC uses k*log(n) while AIC uses 2k, so once log(n) beats 2, BIC hits complexity harder. You'll usually get a more parsimonious model from BIC.
Full Explanation
BIC = -2log(L) + klog(n), while AIC = -2*log(L) + 2k. Once log(n) > 2 (n > 7), BIC penalizes parameters more heavily, so it tends to select simpler models. The claim that AIC penalizes complexity more severely than BIC for large samples reverses this relationship. The claim that rankings are identical above 100 observations is false; large samples can change rankings. The claim favoring BIC for prediction and AIC for true-model identification also reverses conventional guidance: AIC suits prediction, BIC suits identification.