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Uniformity pattern and related criteria for mixed-level designs

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  • Zhenghong Wang
  • Hong Qin

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.

Suggested Citation

  • Zhenghong Wang & Hong Qin, 2018. "Uniformity pattern and related criteria for mixed-level designs," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 47(13), pages 3192-3203, July.
    • Handle: RePEc:taf:lstaxx:v:47:y:2018:i:13:p:3192-3203
    DOI: 10.1080/03610926.2017.1350274
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    Cited by:

    1. Kang Wang & Zujun Ou & Jiaqi Liu & Hongyi Li, 2021. "Uniformity pattern of q-level factorials under mixture discrepancy," Statistical Papers, Springer, vol. 62(4), pages 1777-1793, August.

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