The discrete discrepancy D（d;γ） proposed by Hickernell and Liu has been used to measure the uniformity of mixed-level fractional factorial designs.In this paper,we derive links among criteria of uniformity measured by discrete discrepancy D（d;γ）,generalized minimum aberration and orthogonality,which further shows the statistical justification of discrete discrepancy D（d;γ）.We also obtain a lower bound for the discrete discrepancy value of mixed-level fractional factorial design by application of Kronecker calculus for factorial arrangeme...
