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Projection properties of two-level supersaturated designs constructed from Hadamard designs using Lin’s method

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  • H. Evangelaras

    (University of Piraeus)

  • S. D. Georgiou

    (RMIT University)

Abstract

In the initial stages of experimentation, many factors are examined for a possible significant influence on the response of interest. After such screening, the design used is projected into the significant factors and further evaluation of their effects is performed using the projection design. It is therefore interesting to evaluate the projection properties of screening designs since such an evaluation is extremely useful in selecting the best design for experimentation. In this paper, we examine two-level supersaturated screening designs that are constructed following Lin’s method. Some theoretical results are given and a detailed evaluation of supersaturated designs with up to 12 runs is performed.

Suggested Citation

  • H. Evangelaras & S. D. Georgiou, 2021. "Projection properties of two-level supersaturated designs constructed from Hadamard designs using Lin’s method," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 84(8), pages 1095-1108, November.
    • Handle: RePEc:spr:metrik:v:84:y:2021:i:8:d:10.1007_s00184-020-00804-z
    DOI: 10.1007/s00184-020-00804-z
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    References listed on IDEAS

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    1. Zhang, Shangli & Qin, Hong, 2006. "Minimum projection uniformity criterion and its application," Statistics & Probability Letters, Elsevier, vol. 76(6), pages 634-640, March.
    2. H. Evangelaras & S. Georgiou & C. Koukouvinos, 2003. "Inequivalent projections of Hadamard matrices of orders 16 and 20," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 57(1), pages 29-35, February.
    3. H. Evangelaras & S. Georgiou & C. Koukouvinos, 2004. "Evaluation of inequivalent projections of Hadamard matrices of order 24," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 59(1), pages 51-73, February.
    4. Dennis Lin & Norman Draper, 1995. "Screening properties of certain two-level designs," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 42(1), pages 99-118, December.
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