Majorization framework for balanced lattice designs

Details Majorization framework for balanced lattice designs Majorization framework for balanced lattice designs

2006-03-03

arxiv.org/abs/math/0603082v1

Annals of Statistics 2005, Vol. 33, No. 6, 2837-2853

Mathematics

Statistics Theory

Published at http://dx.doi.org/10.1214/009053605000000679 in the Annals of Statistics (http://www.imstat.org/aos/) by the Inst

Scientific paper

10.1214/009053605000000679

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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