Abstract
We propose a combinatorial construction method for setting up informative experiments with both restricted randomisation and a large number of factors. The supersaturated split-plot designs 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. The construction method is based on compound orthogonal arrays. We evaluate the constructed designs using an optimality criterion and we provide a lower bound for this criterion.
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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
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
Booth KHV, Cox DR (1962) Some systematic supersaturated designs. Technometrics 4:489–495
Dean A, Morris M, Stufken J, Bingham D (eds) (2015) Handbook of design and analysis of experiments. Chapman and Hall/CRC, New York
Draper NR, Pukelsheim F (1996) An overview of design of experiments. Stat Pap 37:1–32
Georgiou SD (2014) Supersaturated designs: a review of their construction and analysis. J Stat Plan Inferf 144:92–109
Goos P (2002) The optimal design of blocked and split-plot experiments. Springer, New York
Hedayat AS, Stufken J (1999) Compound orthogonal arrays. Technometrics 41:57–61
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
Rosenbaum PR (1994) Dispersion effects from fractional factorials in Taguchi’s method of quality design. J R Stat Soc Ser B 56:641–652
Rosenbaum PR (1996) Some useful compound dispersion experiments in quality design. Technometrics 38:354–364
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
Acknowledgements
The third author has received funding from the Universidad Carlos III de Madrid, the European Union’s Seventh Framework Programme for research, technological development and demonstration under Grant Agreement No. 600371, el Ministerio de Economía y Competitividad (COFUND2013-40258), el Ministerio de Educación, Cultura y Deporte (CEI-15-17) and Banco Santander.
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Chatterjee, K., Koukouvinos, C. & Mylona, K. Construction of supersaturated split-plot designs. Stat Papers 61, 2203–2219 (2020). https://doi.org/10.1007/s00362-018-1028-7
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DOI: https://doi.org/10.1007/s00362-018-1028-7