Joint Research Conference
June 24-26, 2014
Latin hypercube designs (LHDs) with space-filling properties are widely used for emulating computer simulators. Over the last three decades, a wide spectrum of LHDs has been proposed with different space-filling criteria like minimum correlation among factors, maximin inter-point distance, and orthogonality among the factors. In this talk I will present a new class of space-filling LHDs. These designs are derived from randomization defining contrast subspaces (RDCSSs) in two-level factorial experiments. It turns out that the different overlapping structures among the RDCSSs lead to the construction of orthogonal and nearly orthogonal arrays, which further generate LHDs with space-filling property. We focus on space-filling LHDs generated from NOAs that are derived from stars (a set of RDCSSs with a common overlap).