A classification criterion for definitive screening designs
article
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.
TNO Identifier
861869
ISSN
00905364
Source
Annals of Statistics, 47(2), pp. 1179-1202.
Publisher
Institute of Mathematical Statistics
Collation
24 p.
Pages
1179-1202
Files
To receive the publication files, please send an e-mail request to TNO Repository.