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Mixed two- and four-level split-plot designs with combined minimum aberration

Author

Listed:
  • Zhaohui Yan

    (Qufu Normal University)

  • Shengli Zhao

    (Qufu Normal University)

Abstract

When the levels of some factors in an experiment are difficult to be changed or controlled, fractional factorial split-plot (FFSP) designs are commonly used in which the factors are classified as the whole plot (WP) and sub-plot (SP) factors. Mixed-level designs are used in practice when the levels of the factors are not equal to each other. This paper considers the mixed-level FFSP designs with the WP factors being more important than the SP factors. It proposes the combined minimum aberration criterion of type WP (WP-MA $$^{c}$$ c ) for mixed-level FFSP designs. Some optimal mixed-level FFSP designs are constructed under the WP-MA $$^{c}$$ c criterion.

Suggested Citation

  • Zhaohui Yan & Shengli Zhao, 2022. "Mixed two- and four-level split-plot designs with combined minimum aberration," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 85(5), pages 537-555, July.
    • Handle: RePEc:spr:metrik:v:85:y:2022:i:5:d:10.1007_s00184-021-00838-x
    DOI: 10.1007/s00184-021-00838-x
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    References listed on IDEAS

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    1. Peng-Fei Li & Min-Qian Liu & Run-Chu Zhang, 2007. "2 m 4 1 designs with minimum aberration or weak minimum aberration," Statistical Papers, Springer, vol. 48(2), pages 235-248, April.
    2. Mingyao Ai & Runchu Zhang, 2005. "Characterization of minimum aberration mixed factorials in terms of consulting designs," Statistical Papers, Springer, vol. 46(2), pages 157-171, April.
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