A simple approach to constructing quasi-Sudoku-based sliced space-filling designs

作者：Donovan Diane; Haaland Benjamin^*; Nott David J

来源：Annals of the Institute of Statistical Mathematics, 2017, 69(4): 865-878.

DOI：10.1007/s10463-016-0565-x

• Computer experiments
• Space-filling designs
• Sudoku
• Sliced experimental designs

Sliced Sudoku-based space-filling designs and, more generally, quasi-sliced orthogonal array-based space-filling designs are useful experimental designs in several contexts, including computer experiments with categorical in addition to quantitative inputs and cross-validation. Here, we provide a straightforward construction of doubly orthogonal quasi-Sudoku Latin squares which can be used to generate quasi-sliced orthogonal arrays and, in turn, sliced space-filling designs which achieve uniformity in one- and two-dimensional projections for the full design and uniformity in two-dimensional projections for each slice. These constructions are very practical to implement and yield a spectrum of design sizes and numbers of factors not currently broadly available.

• 出版日期2017-8