Statistica Sinica 2(1992), 203 -219

CONSTRUCTION OF ASYMMETRICAL ORTHOGONAL

ARRAYS OF THE TYPE

C. F. J. Wu, Runchu Zhang and Renguan Wang

University of Waterloo, Nankai University and Nankai University

Abstract: We extend the grouping scheme introduced by Wu (1989) and construct a class of saturated asymmetrical orthogonal arrays of the type , where s is a prime power and r is any positive integer. The method is generalized to construct for any prime power s, any positive integer r_i, and some combination of m and n_j.

Key words and phrases: Asymmetrical orthogonal arrays, fractional factorial designs, method of replacement, grouping scheme.