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

Diane Donovan, Benjamin Haaland () and David J. Nott
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Diane Donovan: University of Queensland
Benjamin Haaland: Georgia Institute of Technology
David J. Nott: National University of Singapore

Annals of the Institute of Statistical Mathematics, 2017, vol. 69, issue 4, No 6, 865-878

Abstract: Abstract 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.

Keywords: Computer experiments; Space-filling designs; Sudoku; Sliced experimental designs (search for similar items in EconPapers)
Date: 2017
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DOI: 10.1007/s10463-016-0565-x

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