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Complementary design theory for sliced equidistance designs

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  • He, Yuanzhen
  • Ai, Mingyao

Abstract

The complementary design theory is powerful for searching for an optimal design when its complementary design is smaller. This paper introduces a new class of sliced equidistance designs and develops the corresponding complementary design theory under the generalized minimum aberration criterion. Two rules are established to search for a generalized minimum aberration design through its complementary design in a sliced equidistance design. As a result, the developed theory covers the related results for the whole designs being saturated designs as special cases. Some examples are presented to illustrate its usefulness.

Suggested Citation

  • He, Yuanzhen & Ai, Mingyao, 2012. "Complementary design theory for sliced equidistance designs," Statistics & Probability Letters, Elsevier, vol. 82(3), pages 542-547.
    • Handle: RePEc:eee:stapro:v:82:y:2012:i:3:p:542-547
    DOI: 10.1016/j.spl.2011.11.008
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    References listed on IDEAS

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    1. Ming-Yao Ai & Shu-Yuan He, 2006. "Generalized Wordtype Pattern for Nonregular Factorial Designs with Multiple Groups of Factors," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 64(1), pages 95-108, August.
    2. S. Georgiou & C. Koukouvinos, 2006. "Multi-level k-circulant Supersaturated Designs," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 64(2), pages 209-220, October.
    3. 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.
    Full references (including those not matched with items on IDEAS)

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