Abstract
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 language | English |
|---|---|
| Pages (from-to) | 2837-2853 |
| Number of pages | 17 |
| Journal | Annals of Statistics |
| Volume | 33 |
| Issue number | 6 |
| DOIs | |
| Publication status | Published - Dec 2005 |
Scopus Subject Areas
- Statistics and Probability
- Statistics, Probability and Uncertainty
User-Defined Keywords
- Admissible
- Discrepancy
- Fractional factorial design
- Majorization
- Minimum aberration
- Separable convex
- Supersaturated design
- Uniform design