GA-optimal Balanced Fractional 2~m Factorial Designs of Resolution R~*({0,1}|3)

摘要

Using the algebraic structure of the triangular multidimensional partially balanced association scheme and a matrix equation, we give a balanced fractional 2~m factorial design derived from a simple array such that the general mean and all the main effects are estimable, where the four-factor and higher-order interactions are assumed to be negligible. We also give optimal designs with respect to the generalized A-optimality criterion for 6 ≤ m ≤ 8 when the number of assemblies is less than the number of non-negligible factorial effects.