Open Access
Translator Disclaimer
April 2019 A classification criterion for definitive screening designs
Eric D. Schoen, Pieter T. Eendebak, Peter Goos
Ann. Statist. 47(2): 1179-1202 (April 2019). DOI: 10.1214/18-AOS1723


A conference design is a rectangular matrix with orthogonal columns, one zero in each column, at most one zero in each row and $-1$’s and $+1$’s elsewhere. A definitive screening design can be constructed by folding over a conference design and adding a row vector of zeroes. We prove that, for a given even number of rows, there is just one isomorphism class for conference designs with two or three columns. Next, we derive all isomorphism classes for conference designs with four columns. Based on our results, we propose a classification criterion for definitive screening designs founded on projections into four factors. We illustrate the potential of the criterion by studying designs with 24 and 82 factors.


Download Citation

Eric D. Schoen. Pieter T. Eendebak. Peter Goos. "A classification criterion for definitive screening designs." Ann. Statist. 47 (2) 1179 - 1202, April 2019.


Received: 1 January 2018; Revised: 1 May 2018; Published: April 2019
First available in Project Euclid: 11 January 2019

zbMATH: 07033165
MathSciNet: MR3909964
Digital Object Identifier: 10.1214/18-AOS1723

Primary: 62K20
Secondary: 05B20 , 94C30

Keywords: $J_{4}$-characteristic , Conference matrix , isomorphism class , projection

Rights: Copyright © 2019 Institute of Mathematical Statistics


Vol.47 • No. 2 • April 2019
Back to Top