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The calculation of alias pattern in three-level regular designs

Author

Listed:
  • Chen, Baixi
  • Li, Zhiming
  • Li, Zhi
  • Peng, Can

Abstract

In regular designs, the alias relation reflects the confounding information among various effects and is a basis of classification patterns in optimal criteria. The paper aims to study the alias pattern of three-level regular designs. Based on the word-length pattern, we obtain the explicit formulas of the alias relations among all effects for three-level designs. Some examples are given to illustrate these results. And all alias patterns of 27-run MA designs are listed by alias matrices.

Suggested Citation

  • 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).
    • Handle: RePEc:eee:stapro:v:202:y:2023:i:c:s0167715223001372
    DOI: 10.1016/j.spl.2023.109913
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    References listed on IDEAS

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    1. Li, Zhiming & Zhao, Shengli & Zhang, Runchu, 2015. "On general minimum lower order confounding criterion for s-level regular designs," Statistics & Probability Letters, Elsevier, vol. 99(C), pages 202-209.
    2. 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.
    3. Neil A. Butler, 2003. "Some theory for constructing minimum aberration fractional factorial designs," Biometrika, Biometrika Trust, vol. 90(1), pages 233-238, March.
    4. Hongquan Xu, 2005. "A catalogue of three-level regular fractional factorial designs," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 62(2), pages 259-281, November.
    Full references (including those not matched with items on IDEAS)

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