J. Japan Statist. Soc., Vol. 36 (No. 2), pp. 237-259, 2006
Masahide Kuwada, Shujie Lu, Yoshifumi Hyodo and Eiji Taniguchi
Abstract. Under the assumption that the three-factor and higher-order interactions are negligible, we consider two kinds of partially balanced fractional 2m1+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 two-factor interactions, the 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 two-factor interactions, the m1m2 two-factor ones and some linear combinations of the 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 2 m1, m2 4.
Key words and phrases: Association algebra, estimable parametric functions, GA-optimality criterion, PBFF designs, resolutions.