Title
A classification criterion for definitive screening designs
Author
Schoen, E.D.
Eendebak, P.T.
Goos, P.
Publication year
2019
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.
Subject
Life
RAPID - Risk Analysis for Products in Development
Statistics
To reference this document use:
http://resolver.tudelft.nl/uuid:88a85bd2-c426-48ad-881e-319a828d9989
DOI
https://doi.org/10.1214/18-aos1723/
TNO identifier
861869
Publisher
Institute of Mathematical Statistics
ISSN
0090-5364
Source
Annals of Statistics, 47 (2), 1179-1202
Document type
article