Using the best-subsets approach to model building, models are being considered when their
A) Cp k.
B) Cp ≤ k.
C) Cp (k + 1).
D) Cp ≤ (k + 1).

Question

Using the best-subsets approach to model building, models are being considered when their
A) Cp > k.
B) Cp ≤ k.
C) Cp > (k + 1).
D) Cp ≤ (k + 1).

Quizplus · Accepted Answer

The best-subsets approach to model building aims to find the model with the best balance of model fit and complexity. Cp is a measure of model fit that penalizes for model complexity. Therefore, we would want to consider models with Cp values that are not too large relative to the number of predictors in the model. A commonly used criterion is Cp ≤ (k + 1), where k is the number of predictors in the model. This ensures that the model has good fit while still being reasonably parsimonious. Therefore, we would consider models where Cp ≤ (k + 1), which corresponds to choice D.

Using the Best-Subsets Approach to Model Building, Models Are Being