Quadrupling: construction of uniform designs with large run sizes

Hongyi Li and Hong Qin ()
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Hongyi Li: Jishou University
Hong Qin: Zhongnan University of Economics and Law

Metrika: International Journal for Theoretical and Applied Statistics, 2020, vol. 83, issue 5, No 1, 527-544

Abstract: Abstract Fractional factorial designs are widely used because of their various merits. Foldover or level permutation are usually used to construct optimal fractional factorial designs. In this paper, a novel method via foldover and level permutation, called quadrupling, is proposed to construct uniform four-level designs with large run sizes. The relationship of uniformity between the initial design and the design obtained by quadrupling is investigated, and new lower bounds of wrap-around $$L_2$$L2-discrepancy for such designs are obtained. These results provide a theoretical basis for constructing uniform four-level designs with large run sizes by quadrupling successively. Furthermore, the analytic connection between the initial design and the design obtained by quadrupling is presented under generalized minimum aberration criterion.

Keywords: Level permutation; Foldover; Uniform design; Quadruple design; Generalized minimum aberration; Wrap-around $$L_2$$ L 2 -discrepancy; Lower bound; 62K15; 62K10; 62K99 (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (1)

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DOI: 10.1007/s00184-019-00741-6

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