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Three-level supersaturated designs

Author

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  • Yamada, Shu
  • Lin, Dennis K. J.

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.

Suggested Citation

  • Yamada, Shu & Lin, Dennis K. J., 1999. "Three-level supersaturated designs," Statistics & Probability Letters, Elsevier, vol. 45(1), pages 31-39, October.
    • Handle: RePEc:eee:stapro:v:45:y:1999:i:1:p:31-39
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    Citations

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    Cited by:

    1. 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.
    2. Li, Hongyi & Qin, Hong, 2018. "Some new results on Triple designs," Statistics & Probability Letters, Elsevier, vol. 139(C), pages 1-9.
    3. Kai-Tai Fang & Gen-Nian Ge & Min-Qian Liu & Hong Qin, 2003. "Construction of minimum generalized aberration designs," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 57(1), pages 37-50, February.
    4. Li, Peng-Fei & Liu, Min-Qian & Zhang, Run-Chu, 2004. "Some theory and the construction of mixed-level supersaturated designs," Statistics & Probability Letters, Elsevier, vol. 69(1), pages 105-116, August.
    5. Mandal, B.N. & Koukouvinos, C., 2014. "Optimal multi-level supersaturated designs through integer programming," Statistics & Probability Letters, Elsevier, vol. 84(C), pages 183-191.
    6. 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.
    7. Chasiotis, Vasilis & Kounias, Stratis & Farmakis, Nikolaos, 2017. "Upper bound on the number of multi-level columns in equally replicated optimal designs minimizing the E(fNOD) criterion," Statistics & Probability Letters, Elsevier, vol. 129(C), pages 269-274.
    8. Gupta, V.K. & Singh, Poonam & Kole, Basudev & Parsad, Rajender, 2009. "Construction of efficient unbalanced mixed-level supersaturated designs," Statistics & Probability Letters, Elsevier, vol. 79(22), pages 2359-2366, November.
    9. Armando Javier Ríos-Lira & Yaquelin Verenice Pantoja-Pacheco & José Antonio Vázquez-López & José Alfredo Jiménez-García & Martha Laura Asato-España & Moisés Tapia-Esquivias, 2021. "Alias Structures and Sequential Experimentation for Mixed-Level Designs," Mathematics, MDPI, vol. 9(23), pages 1-21, November.
    10. Sarkar, Angshuman & Lin, Dennis K.J. & Chatterjee, Kashinath, 2009. "Probability of correct model identification in supersaturated design," Statistics & Probability Letters, Elsevier, vol. 79(9), pages 1224-1230, May.
    11. 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, vol. 50(1), pages 254-265, January.
    12. Georgiou, S. & Koukouvinos, C. & Mantas, P., 2003. "Construction methods for three-level supersaturated designs based on weighing matrices," Statistics & Probability Letters, Elsevier, vol. 63(4), pages 339-352, July.
    13. Xi Wu & Shifeng Xiong & Weiyan Mu, 2023. "An Ensemble Method for Feature Screening," Mathematics, MDPI, vol. 11(2), pages 1-14, January.
    14. Yan Liu & Min-Qian Liu, 2012. "Construction of equidistant and weak equidistant supersaturated designs," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 75(1), pages 33-53, January.
    15. Koukouvinos, C. & Mantas, P., 2005. "Construction of some E(fNOD) optimal mixed-level supersaturated designs," Statistics & Probability Letters, Elsevier, vol. 74(4), pages 312-321, October.

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