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Concept
Backward Stepwise Selection Algorithm
- Let denote the null model, which contains no predictors.
- For k = p, p-1, ..., 1: (a) Consider all k models that contain all but one of the predictors in for a total of k - 1 predictors. (b) Choose the best among these k models, and call it . Here best is defined as having smallest RSS or highest .
- Select a single best model from among using cross-validated prediction error, (AIC), BIC, or adjusted .
Restriction: requires that the number of samples n is larger than the number of variables p so that the full model can be fit.
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Updated 2020-06-22
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Data Science