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Mixed-level designs with resolution III or IV containing clear two-factor interaction components

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  • Qianqian Zhao
  • Shengli Zhao

Abstract

Mixed-level designs are widely used in factorial experiments. Clear effects criterion is one of the important rules for selecting optimal fractional factorial designs. It is highly desirable to know when mixed-level designs with resolution III or IV can have clear two-factor interaction components. This paper considers mixed-level designs with one or two high-level factors and some two-level factors, denoted as $$(2^{r})\times 2^n$$ ( 2 r ) × 2 n and $$(2^{r_1})\times (2^{r_2})\times 2^n$$ ( 2 r 1 ) × ( 2 r 2 ) × 2 n , respectively, and gives a complete classification of the existence of clear two-factor interaction components in such designs with resolution III or IV. The results reveal the structures of these designs. Copyright Springer-Verlag Berlin Heidelberg 2015

Suggested Citation

  • Qianqian Zhao & Shengli Zhao, 2015. "Mixed-level designs with resolution III or IV containing clear two-factor interaction components," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 78(8), pages 953-965, November.
    • Handle: RePEc:spr:metrik:v:78:y:2015:i:8:p:953-965
    DOI: 10.1007/s00184-015-0535-y
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    References listed on IDEAS

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    1. Li, Peng-Fei & Chen, Bao-Jiang & Liu, Min-Qian & Zhang, Run-Chu, 2006. "A note on minimum aberration and clear criteria," Statistics & Probability Letters, Elsevier, vol. 76(10), pages 1007-1011, May.
    2. S. Zhao & R. Zhang, 2008. "2 m 4 n designs with resolution III or IV containing clear two-factor interaction components," Statistical Papers, Springer, vol. 49(3), pages 441-454, July.
    3. Xue-Min Zi & Min-Qian Liu & Run-Chu Zhang, 2007. "Asymmetrical Factorial Designs Containing Clear Effects," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 65(1), pages 123-131, February.
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    Cited by:

    1. Zhang, Tianfang & Jiang, Junyu & Li, Zhiming, 2018. "Some families of asymmetric nested orthogonal arrays and asymmetric sliced orthogonal arrays," Statistics & Probability Letters, Elsevier, vol. 141(C), pages 109-113.

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