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Minimum individual aberration two-level baseline designs

Author

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  • Zhao, Shengli
  • Han, Min
  • Yan, Zhaohui

Abstract

This paper introduces the δ-pattern, which is used to rank the columns of a baseline design, and proposes the minimum individual aberration (MIA) criterion for selecting baseline designs. We present an algorithm for completely searching MIA baseline designs using two-level orthogonal arrays. MIA baseline designs with run sizes of 8, 12, 16, and 20 are tabulated. Finally, we propose a partial order to rank the columns of a baseline design by their confounding severity.

Suggested Citation

  • Zhao, Shengli & Han, Min & Yan, Zhaohui, 2026. "Minimum individual aberration two-level baseline designs," Statistics & Probability Letters, Elsevier, vol. 231(C).
    • Handle: RePEc:eee:stapro:v:231:y:2026:i:c:s0167715225002706
    DOI: 10.1016/j.spl.2025.110625
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    References listed on IDEAS

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    1. Rahul Mukerjee & Boxin Tang, 2012. "Optimal fractions of two-level factorials under a baseline parameterization," Biometrika, Biometrika Trust, vol. 99(1), pages 71-84.
    2. Yan, Zhaohui & Zhao, Shengli, 2023. "Optimal fractions of three-level factorials under a baseline parameterization," Statistics & Probability Letters, Elsevier, vol. 202(C).
    3. Yu Liu & Min Ren & Shengli Zhao, 2025. "Robust and efficient factorial designs under baseline parametrization," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 54(6), pages 1868-1879, March.
    4. Lin, Chang-Yun & Yang, Po, 2018. "Robust multistratum baseline designs," Computational Statistics & Data Analysis, Elsevier, vol. 118(C), pages 98-111.
    5. Anqi Chen & Cheng-Yu Sun & Boxin Tang, 2021. "Selecting baseline designs using a minimum aberration criterion when some two-factor interactions are important," Statistical Theory and Related Fields, Taylor & Francis Journals, vol. 5(2), pages 95-101, April.
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