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Lee discrepancy on mixed two- and three-level uniform augmented designs

Author

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  • Jiaqi Liu
  • Zujun Ou
  • Liuping Hu
  • Kang Wang

Abstract

Follow-up experiment is widely applied to various fields such as science and engineering, since it is an indispensable strategy, especially when some additional resources or information become available after the initial design of experiment is carried out. Moreover, some extra factors may be added in the follow-up experiment. One may augment the number of runs and/or factors for the purpose of application. In this paper, the issue of the uniform row augmented designs and column augmented designs with mixed two- and three-level is investigated. The uniformity of augmented designs is discussed under the Lee discrepancy, some lower bounds of Lee discrepancy for the augmented designs are obtained. The construction algorithm of the uniform augmented designs is given. Some numerical examples indicate that uniform augmented designs can be constructed with high efficiency.

Suggested Citation

  • Jiaqi Liu & Zujun Ou & Liuping Hu & Kang Wang, 2019. "Lee discrepancy on mixed two- and three-level uniform augmented designs," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 48(10), pages 2409-2424, May.
  • Handle: RePEc:taf:lstaxx:v:48:y:2019:i:10:p:2409-2424
    DOI: 10.1080/03610926.2018.1465087
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    Cited by:

    1. Chun-Wei Zheng & Zong-Feng Qi & Qiao-Zhen Zhang & Min-Qian Liu, 2022. "A Method for Augmenting Supersaturated Designs with Newly Added Factors," Mathematics, MDPI, vol. 11(1), pages 1-17, December.

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