Clear two-factor interactions and minimum aberration
Wu and Hamada recommend selecting resolution IV designs with the maximum number of
clear two-factor interactions (2FIs), called MaxC2 designs. In this paper, we develop a
method by using graphical representations, combinatorial and group-theoretic arguments to
prove if a given design is a MaxC2 design. In particular, we show that all known minimum
aberration designs with resolution IV are MaxC2 designs (except in six cases) and that the
second $2^{9-4} $, $2^{13-7} $, $2^{16-10} $ and $2^{17-11} $ designs given in Wu and …
clear two-factor interactions (2FIs), called MaxC2 designs. In this paper, we develop a
method by using graphical representations, combinatorial and group-theoretic arguments to
prove if a given design is a MaxC2 design. In particular, we show that all known minimum
aberration designs with resolution IV are MaxC2 designs (except in six cases) and that the
second $2^{9-4} $, $2^{13-7} $, $2^{16-10} $ and $2^{17-11} $ designs given in Wu and …
Wu and Hamada recommend selecting resolution IV designs with the maximum number of clear two-factor interactions (2FIs), called MaxC2 designs. In this paper, we develop a method by using graphical representations, combinatorial and group-theoretic arguments to prove if a given design is a MaxC2 design. In particular, we show that all known minimum aberration designs with resolution IV are MaxC2 designs (except in six cases) and that the second , , and designs given in Wu and Hamada are MaxC2 designs. The method also enables us to identify new MaxC2 designs that are too large to be verified by computer search.
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