Abstract

Lee discrepancy has been employed to measure the uniformity of fractional factorials. In this paper, we further study the statistical justification of Lee discrepancy on asymmetrical factorials. We will give an expression of the Lee discrepancy of asymmetrical factorials with two- and three-levels in terms of quadric form, present a connection between Lee discrepancy, orthogonality and minimum moment aberration, and obtain a lower bound of Lee discrepancy of asymmetrical factorials with two- and three-levels.

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