Title: Construction, properties, and analysis of group-orthogonal supersaturated designs
Authors: Ryan Lekivetz - SAS Institute Inc. (United States) [presenting]
Abstract: A new method is introduced for constructing supersaturated designs that is based on the Kronecker product of two carefully-chosen matrices. The construction method leads to a partitioning of the columns of the design such that the columns within a group are correlated to the others within the same group, but are orthogonal to any factor in any other group. The resulting designs are referred to as group orthogonal supersaturated designs (GOSSDs). This group structure is leveraged to obtain an unbiased estimate of the error variance and to develop an effective, design-based model selection procedure. The designs can also be used in group screening.