A supersaturated design is a design whose run size is not large enough for estimating all the main effects. The goodness of multi-level supersaturated designs can be judged by the generalized minimum aberration criterion proposed by Xu and Wu [Ann. Statist. 29 (2001) 1066–1077]. A new lower bound is derived and general construction methods are proposed for multi-level supersaturated designs. Inspired by the Addelman–Kempthorne construction of orthogonal arrays, several classes of optimal multi-level supersaturated designs are given in explicit form: Columns are labeled with linear or quadratic polynomials and rows are points over a finite field. Additive characters are used to study the properties of resulting designs. Some small optimal supersaturated designs of 3, 4 and 5 levels are listed with their properties.
@article{1140191674,
author = {Xu, Hongquan and Wu, C. F. J.},
title = {Construction of optimal multi-level supersaturated designs},
journal = {Ann. Statist.},
volume = {33},
number = {1},
year = {2005},
pages = { 2811-2836},
language = {en},
url = {http://dml.mathdoc.fr/item/1140191674}
}
Xu, Hongquan; Wu, C. F. J. Construction of optimal multi-level supersaturated designs. Ann. Statist., Tome 33 (2005) no. 1, pp. 2811-2836. http://gdmltest.u-ga.fr/item/1140191674/