Title
On equivalence of fractional factorial designs based on singular value decomposition On equivalence of fractional factorial designs based on singular value decomposition
Author
Faculty/Department
Faculty of Applied Economics
Publication type
article
Publication
Amsterdam ,
Subject
Mathematics
Source (journal)
Journal of statistical planning and inference. - Amsterdam
Volume/pages
143(2013) :11 , p. 1950-1953
ISSN
0378-3758
0378-3758
ISI
000324790500013
Carrier
E
Target language
English (eng)
Full text (Publishers DOI)
Affiliation
University of Antwerp
Abstract
The singular value decomposition of a real matrix always exists and is essentially unique. Based on the singular value decomposition of the design matrices of two general 2-level fractional factorial designs, new necessary and sufficient conditions for the determination of combinatorial equivalence or non-equivalence of the corresponding designs are derived. Equivalent fractional factorial designs have identical statistical properties for estimation of factorial contrasts and for model fitting. Non-equivalent designs, however, may have the same statistical properties under one particular model but different properties under a different model. Results extend to designs with factors at larger number of levels. (C) 2013 Elsevier B.V. All rights reserved.
E-info
https://repository.uantwerpen.be/docman/iruaauth/600b58/ccf5408.pdf
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Handle