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Generalized variable resolution designs

Author

Listed:
  • Jin-Guan Lin
  • Xue-Ping Chen
  • Jian-Feng Yang
  • Xing-Fang Huang
  • Ying-Shan Zhang

Abstract

In this paper, the concept of generalized variable resolution is proposed for designs with nonnegligible interactions between groups. The conditions for the existence of generalized variable resolution designs are discussed. Connections between different generalized variable resolution designs and compromise plans, clear compromise plans and designs containing partially clear two-factor interactions are explored. A general construction method for the proposed designs is also discussed. Copyright Springer-Verlag Berlin Heidelberg 2015

Suggested Citation

  • 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.
    • Handle: RePEc:spr:metrik:v:78:y:2015:i:7:p:873-884
    DOI: 10.1007/s00184-015-0531-2
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    References listed on IDEAS

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    1. C. Devon Lin, 2012. "Designs of variable resolution," Biometrika, Biometrika Trust, vol. 99(3), pages 748-754.
    2. S. Zhao & R. Zhang, 2008. "2 m 4 n designs with resolution III or IV containing clear two-factor interaction components," Statistical Papers, Springer, vol. 49(3), pages 441-454, July.
    3. Ryan Lekivetz & Boxin Tang, 2011. "Robust designs through partially clear two-factor interactions," Biometrika, Biometrika Trust, vol. 98(3), pages 733-739.
    4. Ai, Mingyao & He, Shuyuan, 2006. "An efficient method for identifying clear effects in blocked fractional factorial designs," Statistics & Probability Letters, Elsevier, vol. 76(17), pages 1889-1894, November.
    5. Boxin Tang, 2006. "Orthogonal arrays robust to nonnegligible two-factor interactions," Biometrika, Biometrika Trust, vol. 93(1), pages 137-146, March.
    6. Xue-Min Zi & Min-Qian Liu & Run-Chu Zhang, 2007. "Asymmetrical Factorial Designs Containing Clear Effects," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 65(1), pages 123-131, February.
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    Cited by:

    1. Obydenkova, Svetlana V. & Pearce, Joshua M., 2016. "Technical viability of mobile solar photovoltaic systems for indigenous nomadic communities in northern latitudes," Renewable Energy, Elsevier, vol. 89(C), pages 253-267.

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