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Composite Designs Based on Orthogonal Arrays and Definitive Screening Designs

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  • Yong-Dao Zhou
  • Hongquan Xu

Abstract

Central composite designs are widely used in practice for factor screening and building response surface models. We study two classes of new composite designs. The first class consists of a two-level factorial design and a three-level orthogonal array; the second consists of a two-level factorial and a three-level definitive screening design. We derive bounds of their efficiencies for estimating all and part of the parameters in a second-order model and obtain some general theoretical results. New composite designs are constructed. They are more efficient than central composite designs and other existing designs. Supplementary materials are available online.

Suggested Citation

  • Yong-Dao Zhou & Hongquan Xu, 2017. "Composite Designs Based on Orthogonal Arrays and Definitive Screening Designs," Journal of the American Statistical Association, Taylor & Francis Journals, vol. 112(520), pages 1675-1683, October.
    • Handle: RePEc:taf:jnlasa:v:112:y:2017:i:520:p:1675-1683
    DOI: 10.1080/01621459.2016.1228535
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    References listed on IDEAS

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    1. Yu Tang & Hongquan Xu, 2014. "Permuting regular fractional factorial designs for screening quantitative factors," Biometrika, Biometrika Trust, vol. 101(2), pages 333-350.
    2. Hongquan Xu, 2005. "Some nonregular designs from the Nordstrom–Robinson code and their statistical properties," Biometrika, Biometrika Trust, vol. 92(2), pages 385-397, June.
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    Cited by:

    1. Emanuele Borgonovo & Elmar Plischke & Giovanni Rabitti, 2022. "Interactions and computer experiments," Scandinavian Journal of Statistics, Danish Society for Theoretical Statistics;Finnish Statistical Society;Norwegian Statistical Association;Swedish Statistical Association, vol. 49(3), pages 1274-1303, September.
    2. Mohammed A. Alomair & Stelios D. Georgiou & Manohar Aggarwal, 2020. "Projection properties of three‐level screening designs," Australian & New Zealand Journal of Statistics, Australian Statistical Publishing Association Inc., vol. 62(4), pages 407-425, December.
    3. Großmann, Heiko & Gilmour, Steven G., 2023. "Partially orthogonal blocked three-level response surface designs," Econometrics and Statistics, Elsevier, vol. 28(C), pages 138-154.

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