Strong orthogonal arrays and associated Latin hypercubes for computer experiments

Y He, B Tang - Biometrika, 2013 - academic.oup.com
This paper introduces, constructs and studies a new class of arrays, called strong orthogonal
arrays, as suitable designs for computer experiments. A strong orthogonal array of strength t …

Optimal orthogonal-array-based latin hypercubes

S Leary, A Bhaskar, A Keane - Journal of Applied Statistics, 2003 - Taylor & Francis
The use of optimal orthogonal array latin hypercube designs is proposed. Orthogonal arrays
were proposed for constructing latin hypercube designs by Tang (1993). Such designs …

A theorem for selecting OA-based Latin hypercubes using a distance criterion

B Tang - Communications in Statistics-Theory and Methods, 1994 - Taylor & Francis
The maximin distance criterion is used for the selection of an OA-based Latin hypercube. For
the case in which the underlying orthogonal array is a full factorial design without replication …

Strong orthogonal arrays of strength two plus

Y He, CS Cheng, B Tang - The Annals of Statistics, 2018 - JSTOR
Strong orthogonal arrays were recently introduced and studied in He and Tang [Biometrika
100 (2013) 254–260] as a class of space-filling designs for computer experiments. To enjoy …

Nested orthogonal array-based Latin hypercube designs

X He, PZG Qian - Biometrika, 2011 - academic.oup.com
We propose two methods for constructing a new type of design, called a nested orthogonal
array-based Latin hypercube design, intended for multi-fidelity computer experiments. Such …

Column-orthogonal strong orthogonal arrays of strength two plus and three minus

Y Zhou, B Tang - Biometrika, 2019 - academic.oup.com
Strong orthogonal arrays have better space-filling properties than ordinary orthogonal arrays
for computer experiments. We consider column-orthogonal strong orthogonal arrays of …

Construction of column-orthogonal designs for computer experiments

FS Sun, F Pang, MQ Liu - Science China Mathematics, 2011 - Springer
Latin hypercube design and uniform design are two kinds of most popular space-filling
designs for computer experiments. The fact that the run size equals the number of factor …

A minimum aberration-type criterion for selecting space-filling designs

Y Tian, H Xu - Biometrika, 2022 - academic.oup.com
Space-filling designs are widely used in computer experiments. Inspired by the stratified
orthogonality of strong orthogonal arrays, we propose a criterion of minimum aberration-type …

A general rotation method for orthogonal Latin hypercubes

F Sun, B Tang - Biometrika, 2017 - academic.oup.com
Orthogonal Latin hypercubes provide a class of useful designs for computer experiments.
Among the available methods for constructing such designs, the method of rotation is …

A method of constructing space-filling orthogonal designs

F Sun, B Tang - Journal of the American Statistical Association, 2017 - Taylor & Francis
This article presents a method of constructing a rich class of orthogonal designs that include
orthogonal Latin hypercubes as special cases. Two prominent features of the method are its …