B0932
Title: Orthogonal minimally aliased response surface designs with and without two-level categorical factors
Authors: Peter Goos - Universiteit Antwerpen (Belgium) [presenting]
Jose Nunez Ares - KU Leuven (Belgium)
Eric Schoen - KU Leuven (Belgium)
Abstract: Orthogonal minimally aliased response surface or OMARS designs constitute a new family of three-level experimental designs for studying quantitative factors. Many experiments, however, also involve one or more two-level categorical factors. We derive necessary conditions for the existence of mixed-level OMARS designs and present three construction methods based on integer programming. Like the original three-level OMARS designs, the new mixed-level designs are orthogonal main-effect plans in which the main effects are also orthogonal to the second-order effects. These properties distinguish the new designs from definitive screening designs with additional two-level categorical factors and other mixed-level designs recently presented in the literature.
