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Optimal multi-level supersaturated designs constructed from linear and quadratic functions

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  • Koukouvinos, C.
  • Stylianou, S.

Abstract

In this paper, we present a method of construction E(fNOD)-optimal multi-level supersaturated design with n rows, m columns and the equal occurrence property, using linear and quadratic functions. Using this method, as well as permutations and juxtapositions of the columns, many new E(fNOD)-optimal multi-level supersaturated designs are provided.

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  • Koukouvinos, C. & Stylianou, S., 2004. "Optimal multi-level supersaturated designs constructed from linear and quadratic functions," Statistics & Probability Letters, Elsevier, vol. 69(2), pages 199-211, August.
    • Handle: RePEc:eee:stapro:v:69:y:2004:i:2:p:199-211
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    1. Yamada, Shu & Lin, Dennis K. J., 1999. "Three-level supersaturated designs," Statistics & Probability Letters, Elsevier, vol. 45(1), pages 31-39, October.
    2. Kai-Tai Fang & Dennis K. J. Lin & Min-Qian Liu, 2003. "Optimal mixed-level supersaturated design," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 58(3), pages 279-291, December.
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    Cited by:

    1. Mandal, B.N. & Koukouvinos, C., 2014. "Optimal multi-level supersaturated designs through integer programming," Statistics & Probability Letters, Elsevier, vol. 84(C), pages 183-191.
    2. Chen, Jie & Liu, Min-Qian, 2008. "Optimal mixed-level supersaturated design with general number of runs," Statistics & Probability Letters, Elsevier, vol. 78(15), pages 2496-2502, October.

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