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Lower-order confounding information of inverse Yates-order designs with three levels

Author

Listed:
  • Zhiyun Huang

    (Xinjiang University)

  • Zhiming Li

    (Xinjiang University)

  • Ge Zhang

    (Xinjiang University)

  • Tao Chen

    (Xinjiang University)

Abstract

Li et al. (Comm Statist Theory Methods 49: 924–941, 2020) introduced the concept of inverse Yates-order (IYO) designs, and obtained most of two-level IYO designs have general minimum lower-order confounding (GMC) property. For this reason, the paper extends two-level IYO designs to three-level cases. We first propose the definition of $$3^{n-m}$$ 3 n - m IYO design $$D_q(n)$$ D q ( n ) from the saturated design $$H_q$$ H q with three levels. Then, the formulas of lower-order confounding are obtained according to the factor number of $$3^{n-m}$$ 3 n - m IYO design: (i) $$q

Suggested Citation

  • Zhiyun Huang & Zhiming Li & Ge Zhang & Tao Chen, 2023. "Lower-order confounding information of inverse Yates-order designs with three levels," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 86(2), pages 239-259, February.
    • Handle: RePEc:spr:metrik:v:86:y:2023:i:2:d:10.1007_s00184-022-00876-z
    DOI: 10.1007/s00184-022-00876-z
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    1. Li, Zhiming & Kong, Qingxun & Ai, Mingyao, 2020. "Construction of some s-level regular designs with general minimum lower-order confounding," Statistics & Probability Letters, Elsevier, vol. 167(C).
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