Construction of Marginally Coupled Designs by Subspace Theory

Autor: He, Yuanzhen, Lin, C. Devon, SUn, Fasheng
Rok vydání: 2022
Předmět:
Zdroj: Bernoulli, 25, 2163-2182 (2019)
Druh dokumentu: Working Paper
Popis: 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.
Databáze: arXiv