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Majorization framework for balanced lattice designs
Aijun Zhang, Kai-Tai Fang, Runze Li, Agus Sudjianto · 2006-03-03 · via math.ST updates on arXiv.org

This paper aims to generalize and unify classical criteria for comparisons of balanced lattice designs, including fractional factorial designs, supersaturated designs and uniform designs. We present a general majorization framework for assessing designs, which includes a stringent criterion of majorization via pairwise coincidences and flexible surrogates via convex functions. Classical orthogonality, aberration and uniformity criteria are unified by choosing combinatorial and exponential kernels. A construction method is also sketched out.

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