Projection Uniformity of Asymmetric Fractional Factorials

Author:

Wang KangORCID,Ou ZujunORCID,Qin Hong,Zou Na

Abstract

The objective of this paper is to study the issue of the projection uniformity of asymmetric fractional factorials. On the basis of level permutation and mixture discrepancy, the average projection mixture discrepancy to measure the uniformity for low-dimensional projection designs is defined, the uniformity pattern and minimum projection uniformity criterion are presented for evaluating and comparing any asymmetric factorials. Moreover, lower bounds to uniformity pattern have been obtained, and some illustrative examples are also provided.

Funder

National Natural Science Foundation of China

Natural Science Foundation of Hunan Provincial

Scientific Research Plan Item of Hunan Provincial Department of Education

Zhongnan University of Economics and Law

Publisher

MDPI AG

Subject

Geometry and Topology,Logic,Mathematical Physics,Algebra and Number Theory,Analysis

Reference26 articles.

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5. Connections among different criteria for asymmetrical fractional factorial designs;Liu;Stat. Sin.,2006

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