Forms of four-word indicator functions with implications to two-level factorial designs

Abstract

Fractional factorial designs, Two-level factorial designs, Indicator functions, Words, Replicates, Non-regular factorial designs, Aliased effects, Orthogonal effects,

Some lower bounds of centered $$L_2$$ L 2 -discrepancy of $$2^{s-k}$$ 2 s - k designs and their complementary designs

“…Cheng and Ye (2004) and Pistone and Rogantin (2008) studied the representation of an asymmetrical fractional factorial design by its indicator polynomial function, respectively. Balakrishnan and Yang (2006a) and Balakrishnan and Yang (2011) classified a kind of two-level factorial designs with three-or four-word indicator functions, respectively. Balakrishnan and Yang (2006b) studied the connection between general two-level factorial designs of generalized resolutions by using indicator function.…”