All‐subsets regression under effect heredity restrictions for experimental designs with complex aliasing

We consider an all-subsets regression method for models under effect heredity restrictions for experimental designs with complex aliasing, whose number of potential main effects and two-factor interactions exceed the number of runs. In this paper, we present an algorithm that systematically attempts to fit all such models. We illustrate the algorithm with two published experiments. Copyright © 2009 John Wiley & Sons, Ltd.