利用子空间理论构造边际耦合设计
Construction of Marginally Coupled Designs by Subspace Theory
摘要：
近年来，计算机实验设计中的定性和定量因素的研究提倡使用边际耦合设计。本文提出了一种构造这样的设计的一般方法，其中定性因素的设计是多水平正交表，定量因素的设计是具有理想空间填充性质的拉丁超立方体。两种情况下，我们可以得到保证低维空间填充属性的定量因素。所提出的结构的理论结果。为便于实际应用，本文还列出了三水平定性因素的一些构造设计。
英文摘要：
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.
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