Theory of J-characteristics for fractional factorial designs and projection justification of minimum G2-aberration

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Indicator function and its application in two-level factorial designs (2003, background): “It should be noted here that, independently, Tang (2001) also observes the one-to-one relation between a factorial design and its signed J−Characteristics.”
Connections Among Different Criteria for Asymmetrical Fractional Factorial Designs (2006, methodology): “by Liu and Hickernell (2002), Fang, Ge, Liu and Qin (2003, 2004b), Xu (2003), etc.”
Construction of Optimal Multi-Level Supersaturated Designs (2005, background): “Tang [ 27 ] and Ai and Zhang [3] provided projection justifications of the GMA criterion.”
GENERALIZED MINIMUM ABERRATION AND DESIGN EFFICIENCY FOR NONREGULAR FRACTIONAL FACTORIAL DESIGNS (2002, unknown): “The GMA criterion proposed by Tang and Deng (1999) is to sequentially minimize B1(d), B2(d), . . ., Bm(d).”