The centered L2-discrepancy has been employed as the measure of uniformity and used to distinguish geometrically nonisomorphic designs. The average centered L2- discrepancy has also been applied to measure the uniformity of fractional factorial designs, so we can obtain uniform minimum aberration designs with the minimum centered L2- discrepancy by permuting levels of existing minimum aberration designs. In this paper, for the three-level fractional factorial designs, we discuss the properties of the average cen- tered L2-discrepancy, build the relationships among the average centered L2-discr...
