Design Efficiency of Three-Level Minimum Projection Uniform Designs

doi:10.13438/j.cnki.jdzk.2022.02.006

Abstract

Abstract: Under the centered L₂-discrepancy，the analytical relationship between the uniformity pattern and design efficiency of three-level orthogonal designs with strength 2 is established.For the three-level orthogonal arrays with strength 3，the minimum projection uniformity criterion is equivalent to the design efficiency criterion.For the three-level designs，a tight lower bound of the uniformity pattern is obtained，which can measure whether the design is the minimum projection uniform design.

Key words: minimum projection uniform design, design efficiency, orthogonal array, centered L₂-discrepancy, lower bound

BAI Qiming, HUANG Xingyou, XUE Huili, LI Hongyi. Design Efficiency of Three-Level Minimum Projection Uniform Designs[J]. Journal of Jishou University(Natural Sciences Edition), 2022, 43(2): 31-37.

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