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Title
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On equivalence of fractional factorial designs based on singular value decomposition
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Author
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Abstract
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| 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. |
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Language
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English
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Source (journal)
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Journal of statistical planning and inference. - Amsterdam
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Publication
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Amsterdam
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2013
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ISSN
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0378-3758
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DOI
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10.1016/J.JSPI.2013.06.013
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Volume/pages
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143
:11
(2013)
, p. 1950-1953
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ISI
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000324790500013
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Full text (Publisher's DOI)
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Full text (publisher's version - intranet only)
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