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Quadrupling: construction of uniform designs with large run sizes

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ARTICLE DOWNLOAD

Quadrupling: construction of uniform designs with large run sizes

10$

Hongyi Li & Hong Qin 

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 L2L2-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.

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Year 2020
Language English
Format PDF
DOI 10.1007/s00184-019-00741-6