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Analytic connections between a double design and its original design in terms of different optimality criteria

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  • Zujun Ou
  • Hong Qin

Abstract

In recent years, there has been increasing interest in the study of double designs. Various popular optimality criteria have been proposed from different principles for design construction and comparison, such as E(s2), generalized minimum aberration (GMA), minimum moment aberration (MMA), and minimum projection uniformity (MPU). In this article, these criteria are reviewed, and analytic connections between a double design and its original design in terms of these criteria are investigated. These connections are suitable for general original two-level factorial design, whether regular or non regular. In addition, these results provide strong insight into the relationship between double design and original design from different viewpoints.

Suggested Citation

  • Zujun Ou & Hong Qin, 2017. "Analytic connections between a double design and its original design in terms of different optimality criteria," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 46(15), pages 7630-7641, August.
    • Handle: RePEc:taf:lstaxx:v:46:y:2017:i:15:p:7630-7641
    DOI: 10.1080/03610926.2016.1158836
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    Cited by:

    1. Zujun Ou & Minghui Zhang & Hongyi Li, 2023. "Triple Designs: A Closer Look from Indicator Function," Mathematics, MDPI, vol. 11(3), pages 1-12, February.
    2. Hongyi Li & Xingyou Huang & Huili Xue & Hong Qin, 2021. "A novel method for constructing mixed two- and three-level uniform factorials with large run sizes," Statistical Papers, Springer, vol. 62(6), pages 2907-2921, December.
    3. Hongyi Li & Hong Qin, 2020. "Quadrupling: construction of uniform designs with large run sizes," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 83(5), pages 527-544, July.

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