GA-optimal partially balanced fractional 2m1+m2 factorial designs of resolution R({00;10;01}|Ω) with 2 ≤ m1, m2 ≤ 4

Under the assumption that the three-factor and higher-order interactions are negligible, we consider a partially balanced fractional 2(m1)+(m2) factorial design derived from a simple partially balanced array such that the general mean, all the m(1) + m(2) main effects, and some linear combinations of m1 2 ((m1)(2)) two-factor interactions, of the m2 2 ((m1)(2)) ones and of the m(1)m(2) ones are estimable, where 2 <= m(k) for k = 1,2. This paper presents optimal designs with respect to the generalized A-optimality criterion when the number of assemblies is less than the number of non-negligible factorial effects, where 2 <= m(1), m(2) <= 4.