Construction of Marginally Coupled Designs by Subspace Theory
Methodology
2022-03-15 v1
Abstract
Recent researches on designs for computer experiments with both qualitative and quantitative factors have advocated the use of marginally coupled designs. This paper proposes a general method of constructing such designs for which the designs for qualitative factors are multi-level orthogonal arrays and the designs for quantitative factors are Latin hypercubes with desirable space-filling properties. Two cases are introduced for which we can obtain the guaranteed low-dimensional space-filling property for quantitative factors. Theoretical results on the proposed constructions are derived. For practical use, some constructed designs for three-level qualitative factors are tabulated.
Keywords
Cite
@article{arxiv.2203.06340,
title = {Construction of Marginally Coupled Designs by Subspace Theory},
author = {Yuanzhen He and C. Devon Lin and Fasheng SUn},
journal= {arXiv preprint arXiv:2203.06340},
year = {2022}
}