Uniformity pattern and related criteria for mixed-level designs

Zhenghong Wang and Hong Qin

Communications in Statistics - Theory and Methods, 2018, vol. 47, issue 13, 3192-3203

Abstract: The objective of this article is to study the issue of projection uniformity along the line of Fang and Qin (2005) and Qin, Wang and Chatterjee (2012) based on discrete discrepancy D(P,γ)${\cal D}({\cal P},\gamma )$ for mixed-level designs d∈D(n;q1×q2×⋯×qs)$d\in {\cal D}(n;q_1\times q_2\times \cdots \times q_s)$. This has wide application to the field of fractional factorials. We also identify connections between minimum projection uniformity criterion and other optimality criteria such as orthogonality and generalized minimum abberation. Additionally, a strict lower bound to projection discrepancy for mixed-level designs is presented.

Date: 2018
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DOI: 10.1080/03610926.2017.1350274

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