Uniformity pattern of q-level factorials under mixture discrepancy

Kang Wang, Zujun Ou, Jiaqi Liu and Hongyi Li ()
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Kang Wang: Jishou University
Zujun Ou: Jishou University
Jiaqi Liu: Hunan University
Hongyi Li: Jishou University

Statistical Papers, 2021, vol. 62, issue 4, No 9, 1777-1793

Abstract: Abstract The objective of this paper is to discuss the issue of the projection uniformity of factorial designs measured by mixture discrepancy. The average projection discrepancy of combinatorially isomorphic designs obtained by level permutation on each factor is defined, which measures the projection uniformity on different dimensions. The uniformity pattern and minimum projection uniformity criterion for selecting optimal design are defined for q-level designs. The relationships between uniformity pattern, orthogonality and generalized word-length pattern are built. Moreover, a tight lower bound of uniformity pattern is also obtained.

Keywords: Average projection discrepancy; Generalized minimum aberration; Lower bound; Mixture discrepancy; Orthogonality; 62K15; 62K05; 62K99 (search for similar items in EconPapers)
Date: 2021
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Citations: View citations in EconPapers (2)

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DOI: 10.1007/s00362-019-01155-2

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