论文标题
通过子空间理论的边缘耦合设计的构建
Construction of Marginally Coupled Designs by Subspace Theory
论文作者
论文摘要
关于定性和定量因素的计算机实验设计设计的最新研究已主张使用边缘耦合设计。本文提出了一种构建此类设计的一般方法，用于定性因素的设计是多级正交阵列，定量因素的设计是具有理想空间填充特性的拉丁高管。引入了两种情况，我们可以为定量因素获得保证的低维空间填充特性。提出了有关拟议结构的理论结果。为了实际使用，对三级定性因素进行了一些构造设计。
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.
