Print Email Facebook Twitter A classification criterion for definitive screening designs 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 LifeRAPID - Risk Analysis for Products in DevelopmentStatistics 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 Files To receive the publication files, please send an e-mail request to TNO Library.