Work

On construction of optimal mixed-level supersaturated designs

Year: 2011

Type: article

Abstract: Supersaturated design (SSD) has received much recent interest because of its potential in factor screening experiments. In this paper, we provide equivalent conditions for two columns to be fully aliased and consequently propose methods for constructing E(fNOD)- and χ2-optimal mixed-level SSDs without fully aliased columns, via equidistant designs and difference matrices. The methods can be easily performed and many new optimal mixed-level SSDs have been obtained. Furthermore, it is proved that the nonorthogonality between columns of the resulting design is well controlled by the source designs. A rather complete list of newly generated optimal mixed-level SSDs are tabulated for practical use.

Source: The Annals of Statistics

DOI: 10.1214/11-aos877

Authors: Fasheng Sun, Dennis K. J. Lin, Min-Qian Liu

Institutions: Pennsylvania State University, Northeast Normal University, Nankai University

Language: English

Topic: Optimal Experimental Design Methods

Subfield: Management Science and Operations Research

Field: Decision Sciences

Domain: Social Sciences

Open Access status: green

Funder: Program for New Century Excellent Talents in University

Award: G2803361774