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Generalized wordlength enumerator for asymmetrical designs

Author

Listed:
  • Wang, Kang
  • Zou, Na
  • Qin, Hong

Abstract

In this paper, we extend the study of wordlength enumerator to asymmetrical designs, and unify the generalized α- and β-wordlength pattern with generalized wordlength enumerator. The generalized wordlength enumerator is easy and fast to compute, and can effectively compare and rank symmetrical and asymmetrical designs. A lower bound of generalized wordlength enumerator is provided, and can be used as a benchmark for searching and constructing optimal designs. Numerical results are also provided, which lend further support to our theoretical findings.

Suggested Citation

  • Wang, Kang & Zou, Na & Qin, Hong, 2025. "Generalized wordlength enumerator for asymmetrical designs," Statistics & Probability Letters, Elsevier, vol. 217(C).
    • Handle: RePEc:eee:stapro:v:217:y:2025:i:c:s0167715224002505
    DOI: 10.1016/j.spl.2024.110281
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    References listed on IDEAS

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    1. Yu Tang & Hongquan Xu, 2014. "Permuting regular fractional factorial designs for screening quantitative factors," Biometrika, Biometrika Trust, vol. 101(2), pages 333-350.
    2. Liangwei Qi & Yu Tang, 2022. "Direct construction of three-level designs with less β-aberration," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 51(24), pages 8598-8616, December.
    3. Umer Daraz & E Chen & Yu Tang, 2024. "Supersaturated designs with less β-aberration," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 53(9), pages 3235-3245, May.
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