COVARIANCE MATRICES OF THE ESTIMATES FOR BALANCED FRACTIONAL 2^m FACTORIAL DESIGNS OF RESOLUTION 2l+1

Abstract

The covariance matrix of the estimates of the νl(=1+_??_+…+_??_) effects for a balanced fractional 2^m factorial design of resolution 2l+1 has at most _??_ distinct elements. The purpose of this paper is to obtain an explicit expression for these elements. As an example, the case of l=3 is treated.