Searching for Powerful Supersaturated Designs

An important property of any experimental design is its power, defined roughly as its ability to detect active factors. For supersaturated designs, power is even more critical. We consider several popular supersaturated design construction criteria in the literature, propose several of our own, and perform a simulation study to evaluate them in terms of power. We use two analysis methods-forward selection and the Dantzig selector-and find that, although the Dantzig selector clearly outperforms forward selection, there is no clear winner among the design construction criteria.