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Three-level supersaturated designs

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  • Yamada, Shu
  • Lin, Dennis K. J.
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    Abstract

    When experimentation is expensive and the number of factors is large, supersaturated designs can be helpful. They are essentially fractional factorial designs in which the number of factors is greater than the number of experimental runs. Previous studies have focused on two-level supersaturated designs. This paper presents a new class of three-level supersaturated designs with an equal occurrence property. It is shown that designs generated by such a universal construction method result in a low dependency among all columns.

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    Bibliographic Info

    Article provided by Elsevier in its journal Statistics & Probability Letters.

    Volume (Year): 45 (1999)
    Issue (Month): 1 (October)
    Pages: 31-39

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    Handle: RePEc:eee:stapro:v:45:y:1999:i:1:p:31-39

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    Related research

    Keywords: [chi]2 statistic Dependency Factorial design Inner product Two-level design;

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    Cited by:
    1. Sarkar, Angshuman & Lin, Dennis K.J. & Chatterjee, Kashinath, 2009. "Probability of correct model identification in supersaturated design," Statistics & Probability Letters, Elsevier, Elsevier, vol. 79(9), pages 1224-1230, May.
    2. Chen, Jie & Liu, Min-Qian, 2008. "Optimal mixed-level supersaturated design with general number of runs," Statistics & Probability Letters, Elsevier, Elsevier, vol. 78(15), pages 2496-2502, October.
    3. Koukouvinos, C. & Stylianou, S., 2004. "Optimal multi-level supersaturated designs constructed from linear and quadratic functions," Statistics & Probability Letters, Elsevier, Elsevier, vol. 69(2), pages 199-211, August.
    4. Gupta, V.K. & Singh, Poonam & Kole, Basudev & Parsad, Rajender, 2009. "Construction of efficient unbalanced mixed-level supersaturated designs," Statistics & Probability Letters, Elsevier, Elsevier, vol. 79(22), pages 2359-2366, November.
    5. Georgiou, S. & Koukouvinos, C. & Mantas, P., 2003. "Construction methods for three-level supersaturated designs based on weighing matrices," Statistics & Probability Letters, Elsevier, Elsevier, vol. 63(4), pages 339-352, July.
    6. Mandal, B.N. & Koukouvinos, C., 2014. "Optimal multi-level supersaturated designs through integer programming," Statistics & Probability Letters, Elsevier, Elsevier, vol. 84(C), pages 183-191.
    7. Yamada, Shu & Matsui, Michiyo & Matsui, Tomomi & Lin, Dennis K.J. & Takahashi, Takenori, 2006. "A general construction method for mixed-level supersaturated design," Computational Statistics & Data Analysis, Elsevier, Elsevier, vol. 50(1), pages 254-265, January.
    8. Li, Peng-Fei & Liu, Min-Qian & Zhang, Run-Chu, 2004. "Some theory and the construction of mixed-level supersaturated designs," Statistics & Probability Letters, Elsevier, Elsevier, vol. 69(1), pages 105-116, August.
    9. Yan Liu & Min-Qian Liu, 2012. "Construction of equidistant and weak equidistant supersaturated designs," Metrika, Springer, Springer, vol. 75(1), pages 33-53, January.

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