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Construction of minimum aberration blocked two-level regular factorial designs

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  • Sheng-Li Zhao
  • Peng-Fei Li

Abstract

In this article, we consider the construction of minimum aberration 2n − k: 2p designs with respect to some existing combined wordlength patterns, where a 2n − k: 2p design is a blocked two-level design with n treatment factors, 2p blocks, and N = 2q runs with q = n − k. Two methods are proposed for two situations: n ⩽ 2q − p − 1 and n > N/2. These methods enable us to obtain some new minimum aberration 2n − k: 2p designs from existing minimum aberration unblocked and blocked designs. Examples are included to illustrate the theory.

Suggested Citation

  • Sheng-Li Zhao & Peng-Fei Li, 2016. "Construction of minimum aberration blocked two-level regular factorial designs," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 45(17), pages 5028-5036, September.
    • Handle: RePEc:taf:lstaxx:v:45:y:2016:i:17:p:5028-5036
    DOI: 10.1080/03610926.2014.935433
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    Cited by:

    1. Shengli Zhao & Qianqian Zhao, 2021. "Minimum aberration blocked designs with multiple block variables," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 84(2), pages 121-140, February.
    2. Chen, Baixi & Li, Zhiming & Li, Zhi & Peng, Can, 2023. "The calculation of alias pattern in three-level regular designs," Statistics & Probability Letters, Elsevier, vol. 202(C).
    3. Qianqian Zhao & Shengli Zhao, 2019. "Some results on two-level regular designs with multi block variables containing clear effects," Statistical Papers, Springer, vol. 60(5), pages 1569-1582, October.

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