Under the assumption that the three-factor and higher-order interactions are negligible, we consider two kinds of partially balanced fractional 2
m1+m2 factorial designs derived from simple partially balanced arrays, where 2 ≤
mk for
k = 1, 2. One is a design such that the general mean, the
m1 +
m2 main effects, the (
m12) two-factor interactions, the (
m22) two-factor ones and some linear combinations of the
m1m2 two-factor ones are estimable, and the other is a design such that the general mean, the
m1 +
m2 main effects, the (
m12) two-factor interactions, the
m1m2 two-factor ones and some linear combinations of the (
m22) two-factor ones are estimable. In each kind of designs, we present 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 ≤
m1,
m2 ≤ 4.
抄録全体を表示