Minimum moment aberration for nonregular designs and supersaturated designs

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ON CONSTRUCTION OF OPTIMAL MIXED-LEVEL SUPERSATURATED DESIGNS (2011, methodology): “…proposed the E(fNOD) criterion and the FSOA method for constructing mixed-level SSDs, and work by Yamada and Matsui (2002) and Yamada and Lin (2002) who used χ2 to evaluate mixedlevel SSDs. Recent work on mixed-level SSDs includes Xu (2003), Fang et al. Received July 2010; revised December 2010.”
Connections Among Different Criteria for Asymmetrical Fractional Factorial Designs (2006, background): “Note that the optimality results developed here also unify the results obtained, e.g. by Liu and Hickernell (2002), Fang, Ge, Liu and Qin (2003, 2004b), Xu (2003), etc., for symmetrical FFDs.”
Space-Filling Fractional Factorial Designs (2014, background): “In some cases, it is possible to show that the resulting designs indeed have GMA among all possible designs; see Xu (2003) and Butler (2005).”
Construction of Optimal Multi-Level Supersaturated Designs (2005, methodology): “From the moment inequality K2(D) ≥ K1(D)2, Xu (2001) derived the following lower bound.”
A catalogue of three-level regular fractional factorial designs (2005, methodology): “Xu (2001, 2003) proposed the minimum moment aberration criterion which sequentially minimizes K1,K2, . . . ,Kn.”
Majorization framework for balanced lattice designs (2005, methodology): “al (2003a) and Xu (2003) for investigating supersaturated designs.”