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 and Infographic
Here's the deal — b is correct because BIC = -2log(L) + klog(n) while AIC = -2*log(L) + 2k. For large n (log(n) > 2, i.e., n > 7), BIC penalizes parameters more heavily and tends to select simpler models.
Full explanation below image
Full Explanation
B is correct because BIC = -2log(L) + klog(n) while AIC = -2*log(L) + 2k. For large n (log(n) > 2, i.e., n > 7), BIC penalizes parameters more heavily and tends to select simpler models. A is wrong; it reverses the relationship. C is wrong; AIC and BIC can produce different rankings especially for large samples. D is wrong; it reverses the conventional guidance — AIC is better for prediction, BIC better for model identification.