Abstract
This paper considers the construction of mixed-level supersaturated split-plot designs (SSSPDs) which are very useful in screening situations where the number of factors is larger than the number of available observations and several of these factors have levels that they are hard to change. As a benchmark of obtaining optimal SSSPDs, lower bounds to our proposed designs are established. Illustrative examples are presented supporting our constructed designs.
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References
Aastveit AH, Almøy T, Mejza I, Mejza S (2009) Individual control treatment in split-plot experiments. Stat Pap 50:697–710
Bingham DR, Sitter RR (1999) Minimum aberration two-level fractional factorial split-plot designs. Technometrics 41:62–70
Booth KHV, Cox DR (1962) Some systematic supersaturated designs. Technometrics 4:489–495
Chatterjee K, Koukouvinos C, Mylona K (2018) Construction of supersaturated split-plot designs. Stat Pap. https://doi.org/10.1007/s00362-018-1028-7
Cheng CS, Das A, Singh R, Tsai P-W (2018) \(E(s^2)\)- and \(UE(s^2)\)-optimal supersaturated designs. J Stat Plan Inference 196:105–114
Dean A, Morris M, Stufken J, Bingham D (eds) (2015) Handbook of design and analysis of experiments. Chapman and Hall, New York
Draper NR, Pukelsheim F (1996) An overview of design of experiments. Stat Pap 37:1–32
Bingham DR, Schoen ED, Sitter RR (2004) Designing fractional factorial split-plot experiments with few whole-plot factors. J R Stat Soc Ser C 53:325–339
Georgiou S, Koukouvinos C, Mantas P (2003) Construction methods for three level supersaturated designs based on weighing matrices. Stat Probab Lett 63:339–352
Georgiou S, Koukouvinos C, Mantas P (2006a) On multi-level supersaturated designs. J Stat Plan Inference 136:2805–2809
Georgiou S, Koukouvinos C, Mantas P (2006b) Multi-level supersaturated designs based on error-correcting codes. Util Math 71:65–82
Georgiou SD (2014) Supersaturated designs: a review of their construction and analysis. J Stat Plan Inference 144:92–109
Goos P (2002) The optimal design of blocked and split-plot experiments. Springer, New York
Gupta VK, Chatterjee K, Das A, Kole B (2012) Addition of runs to an \(s\)-level supersaturated design. J Stat Plan Inference 142:2402–2408
Jones B, Nachtsheim CJ (2009) Split-plot designs: what, why, and how. J Qual Technol 41:340–361
Koh WY, Eskridge KM, Hanna MA (2013) Supersaturated split-plot designs. J Qual Technol 45:61–73
Koukouvinos C, Mantas P (2005) Construction of some \(E(f_{NOD})\) optimal mixed-level supersaturated designs. Stat Probab Lett 74:312–321
Sartono B, Goos P, Schoen E (2015) Constructing general orthogonal fractional factorial split-plot designs. Technometrics 57:488–502
Tichon JG, Li W, Mcleod RG (2012) Generalized minimum aberration two-level split-plot designs. J Stat Plan Inference 142:1407–1414
Xu H, Wu CFJ (2005) Construction of optimal multi-level supersaturated designs. Ann Stat 33:2811–2836
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Chatterjee, K., Koukouvinos, C. Construction of mixed-level supersaturated split-plot designs. Metrika 84, 949–967 (2021). https://doi.org/10.1007/s00184-020-00792-0
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DOI: https://doi.org/10.1007/s00184-020-00792-0