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Robust designs through partially clear two-factor interactions

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  • Ryan Lekivetz
  • Boxin Tang

Abstract

Orthogonal arrays with clear two-factor interactions provide a class of designs that are robust to nonnegligible effects. If certain prior knowledge is available, then robust designs allow additional factors to be studied. This is done through partially clear two-factor interactions. We study the existence and construction of such robust designs and present an upper bound on the maximum number of clear two-factor interactions. Copyright 2011, Oxford University Press.

Suggested Citation

  • Ryan Lekivetz & Boxin Tang, 2011. "Robust designs through partially clear two-factor interactions," Biometrika, Biometrika Trust, vol. 98(3), pages 733-739.
    • Handle: RePEc:oup:biomet:v:98:y:2011:i:3:p:733-739
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    File URL: http://hdl.handle.net/10.1093/biomet/asr022
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    Cited by:

    1. Jin-Guan Lin & Xue-Ping Chen & Jian-Feng Yang & Xing-Fang Huang & Ying-Shan Zhang, 2015. "Generalized variable resolution designs," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 78(7), pages 873-884, October.
    2. Chen, Xue-Ping & Lin, Jin-Guan & Wang, Hong-Xia & Huang, Xing-Fang, 2017. "Designs containing partially clear main effects," Statistics & Probability Letters, Elsevier, vol. 121(C), pages 12-17.

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