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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

Abstract

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.

Citation

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Eric D. Schoen. Pieter T. Eendebak. Peter Goos. "A classification criterion for definitive screening designs." Ann. Statist. 47 (2) 1179 - 1202, April 2019. https://doi.org/10.1214/18-AOS1723

Information

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

Subjects:
Primary: 62K20
Secondary: 05B20, 94C30

Rights: Copyright © 2019 Institute of Mathematical Statistics

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Vol.47 • No. 2 • April 2019
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