A0772
Title: Column-orthogonal designs with multi-dimensional stratifications
Authors: Xue Yang - School of Statistics, Tianjin University of Finance and Economics (China) [presenting]
Abstract: The orthogonal Latin hypercube design and its relaxation and column orthogonal design are two kinds of orthogonal designs for computer experiments. However, they usually do not achieve maximum stratifications in multi-dimensional margins. Some methods are proposed to construct column orthogonal designs with multi-dimensional stratifications by rotating symmetric and asymmetric orthogonal arrays. The newly constructed column orthogonal designs ensure that the estimates of all linear effects are uncorrelated with each other and even uncorrelated with the estimates of all second-order effects (quadratic effects and bilinear effects) when the rotated orthogonal arrays have strength larger than two. Besides orthogonality, the resulting designs also preserve better space-filling properties than those constructed by using the existing methods. In addition, a method to construct a new class of orthogonal Latin hypercube designs is provided with multi-dimensional stratifications by rotating regular factorial designs. Some newly constructed orthogonal Latin hypercube designs are tabulated for practical use.
