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Optimal fractions of three-level factorials under a baseline parameterization

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Listed:
  • Yan, Zhaohui
  • Zhao, Shengli

Abstract

The paper proposes the minimum aberration (MA) criterion for three-level designs under a baseline parameterization. An algorithm is put forward to search the MA designs. A catalogue of MA 18-run and 27-run three-level baseline designs is tabulated.

Suggested Citation

  • Yan, Zhaohui & Zhao, Shengli, 2023. "Optimal fractions of three-level factorials under a baseline parameterization," Statistics & Probability Letters, Elsevier, vol. 202(C).
    • Handle: RePEc:eee:stapro:v:202:y:2023:i:c:s0167715223001268
    DOI: 10.1016/j.spl.2023.109902
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    References listed on IDEAS

    as
    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. Lin, Chang-Yun & Yang, Po, 2018. "Robust multistratum baseline designs," Computational Statistics & Data Analysis, Elsevier, vol. 118(C), pages 98-111.
    3. 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.
    4. Ai, Mingyao & Zhang, Runchu, 2004. "Multistratum fractional factorial split-plot designs with minimum aberration and maximum estimation capacity," Statistics & Probability Letters, Elsevier, vol. 69(2), pages 161-170, August.
    Full references (including those not matched with items on IDEAS)

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