Abstract
This article describes a general method of construction of supersaturated designs for asymmetric factorials obtained by exploiting the concept of resolvable orthogonal arrays and Hadamard matrices. The supersaturated design constructed here has a restricted form of t.q ζ ∥ n, where ζ factors are at q-levels each and one factor is at t-levels and the number of runs is n. The designs obtained have the factor at t-levels always orthogonal to the ζ factors with q levels each in the symmetric design q ζ ∥ n. The method of construction is illustrated with the help of examples. A catalogue of designs obtained is prepared and f NOD-efficiency and χ 2-efficiency of the designs are given. Many designs are optimal while other designs have high efficiencies. The efficiency of the resulting design is better than that of the symmetric design q ζ ∥ n.
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Gupta, V.K., Parsad, R., Lal Bhar, M. et al. Supersaturated Designs for Asymmetrical Factorial Experiments. J Stat Theory Pract 2, 95–108 (2008). https://doi.org/10.1080/15598608.2008.10411863
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DOI: https://doi.org/10.1080/15598608.2008.10411863