摘要：We consider a fractional 2 m 1+ m 2 factorial design derived from a simple partially balanced array (SPBA), and we assume that the non-negligible factorial effects are the general mean, all the main effects and the two-factor interactions between the m 1 factors and the m 2 ones, and mk ≥ 2 ( k = 1, 2). In this paper, we give a necessary and sufficient condition for an SPBA to be a partially balanced fractional 2 m 1+ m 2 factorial design such that all the non-negligible factorial effects are estimable, whose design is said to be of resolution R({00, 10, 01, 11}). Such a design is concretely characterized by the suffixes of the indices of an SPBA.
关键词：ETMDPB association algebra;factorial effect;PBFF design;resolution;row rank;SPBA
