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Some applications of indicator function in two-level factorial designs

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  • Ou, Zujun
  • Qin, Hong

Abstract

The indicator function has been used to study the properties of factorial designs. This paper shows some applications of indicator functions in doubling design and uniformity pattern. Our results further provide that the indicator function is an effective tool in studying two-level factorial designs.

Suggested Citation

  • Ou, Zujun & Qin, Hong, 2010. "Some applications of indicator function in two-level factorial designs," Statistics & Probability Letters, Elsevier, vol. 80(1), pages 19-25, January.
    • Handle: RePEc:eee:stapro:v:80:y:2010:i:1:p:19-25
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    References listed on IDEAS

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    1. N. Balakrishnan & Po Yang, 2006. "Connections Between the Resolutions of General Two-level Factorial Designs," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 58(3), pages 609-618, September.
    2. N. Balakrishnan & Po Yang, 2006. "Classification of Three-word Indicator Functions of Two-level Factorial Designs," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 58(3), pages 595-608, September.
    3. Zhang, Shangli & Qin, Hong, 2006. "Minimum projection uniformity criterion and its application," Statistics & Probability Letters, Elsevier, vol. 76(6), pages 634-640, March.
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    Cited by:

    1. Li, Hongyi & Qin, Hong, 2018. "Some new results on Triple designs," Statistics & Probability Letters, Elsevier, vol. 139(C), pages 1-9.
    2. Zujun Ou & Hong Qin & Hongyi Li, 2015. "Some lower bounds of centered $$L_2$$ L 2 -discrepancy of $$2^{s-k}$$ 2 s - k designs and their complementary designs," Statistical Papers, Springer, vol. 56(4), pages 969-979, November.
    3. Zujun Ou & Minghui Zhang & Hongyi Li, 2023. "Triple Designs: A Closer Look from Indicator Function," Mathematics, MDPI, vol. 11(3), pages 1-12, February.
    4. Narayanaswamy Balakrishnan & Hong Qin & Kashinath Chatterjee, 2016. "Generalized projection discrepancy and its applications in experimental designs," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 79(1), pages 19-35, January.
    5. Hongyi Li & Xingyou Huang & Huili Xue & Hong Qin, 2021. "A novel method for constructing mixed two- and three-level uniform factorials with large run sizes," Statistical Papers, Springer, vol. 62(6), pages 2907-2921, December.
    6. Hongyi Li & Hong Qin, 2020. "Quadrupling: construction of uniform designs with large run sizes," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 83(5), pages 527-544, July.

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