Backward elimination is the reverse of the forward stepwise selection procedure. The resulting model can be different than the forward model.

Question

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Backward elimination starts with a full model including all predictors and iteratively removes the least significant predictor until a stopping criterion is met, while forward selection starts with no predictors and adds them one by one. Due to differences in the order of inclusion or exclusion, the resulting models can indeed be different.

Backward Elimination Is the Reverse of the Forward Stepwise Selection