Majorization framework for balanced lattice designs

Aijun Zhang, Kai Tai Fang, Runze Li, Agus Sudjianto

Research output: Contribution to journalArticle

31 Scopus citations


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.

Original languageEnglish (US)
Pages (from-to)2837-2853
Number of pages17
JournalAnnals of Statistics
Issue number6
StatePublished - Dec 1 2005

All Science Journal Classification (ASJC) codes

  • Statistics and Probability
  • Statistics, Probability and Uncertainty

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