1988 年 18 巻 1 号 p. 77-86
By utilizing the decomposition of the extended triangular multidimensional partially balanced association algebra, we present an explicit expression for the characteristic polynomial of the information matrix of a partially balanced fractional 2m1+m2 factorial design of resolution VII, which is derived from a partially balanced array. In addition. A-optimal designs with m1=m2=3 are presented for 42≤N≤64, where N is the number of observations.