2005/12/01 by Aijun Zhang, Kai-Tai Fang, Runze Li +1
Decision Sciences · Engineering · Mathematics · #Optimal Experimental Design Methods #Statistical Methods in Clinical Trials #graph theory and CDMA systems #math.ST #msc:62K15 #stat.TH
paper · pdf · doi:10.1214/009053605000000679
published as Annals of Statistics 2005, Vol. 33, No. 6, 2837-2853 · Published at http://dx.doi.org/10.1214/009053605000000679 in the Annals of Statistics (http://www.imstat.org/aos/) by the Institute of Mathematical Statistics (http://www.imstat.org)
openalex publication_date 2005/12/01 · arxiv created 2006/03/03 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
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.