Statistica Sinica 22 (2012), 1273-1285
MINIMAL DEPENDENT
SETS FOR EVALUATING
SUPERSATURATED DESIGNS
Arden Miller and Boxin Tang
University of Auckland and Simon
Fraser University
Abstract: This paper investigates minimal dependent
sets used for evaluating supersaturated designs. Unlike the popular
criterion, the criteria based on minimal dependent sets
directly capture the properties of designs in terms of estimation
and identification of active factors. This paper provides a
theoretical investigation into the number and structure of minimal
dependent sets in a supersaturated design, and presents some
construction results on supersaturated designs with large minimal
dependent sets.
Key words and
phrases: E(s²)-optimality, estimation capacity, model
discrimination, screening design.