Construction of (nearly) orthogonal sliced Latin hypercube designs. (English) Zbl 1377.05023

Wang, Xiao-Lei; Zhao, Yu-Na; Yang, Jian-Feng; Liu, Min-Qian

Stat. Probab. Lett. 125, 174-180 (2017).

Summary: Sliced Latin hypercube designs have found a wide range of applications. Such a design is a special Latin hypercube design that can be partitioned into slices which are still LHDs when the levels of each slices are collapsed properly. In this paper we propose a method for constructing sliced Latin hypercube designs with second-order orthogonality. The resulting designs are further augmented to be nearly orthogonal sliced Latin hypercube designs which have much more columns. Also, two methods of generating nearly orthogonal sliced Latin hypercube designs are proposed. The methods are convenient, efficient and capable of accommodating any number of slices.

MSC:

05B15	Orthogonal arrays, Latin squares, Room squares
62K15	Factorial statistical designs

Keywords:

computer experiments; near orthogonality; second-order orthogonality; sliced Latin hypercube designs

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