Majorization framework for balanced lattice designs

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

Research output: Contribution to journalArticlepeer-review

39 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 2005

All Science Journal Classification (ASJC) codes

  • Statistics and Probability
  • Statistics, Probability and Uncertainty


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