Binary operations and canonical forms for factorial and related models

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Abstract

Binary operations on commutative Jordan algebras are used to extend the grouping of treatments in blocks and the taking of fractional replicates to models where factors have arbitrary number of levels. Up to now these techniques had been restricted to models whose factors have a prime or a power of a prime number of levels. Moreover, the binary operations will enable the use of simple models as building blocks for more complex designs. (C) 2009 Elsevier Inc. All rights reserved.
Original languageUnknown
Pages (from-to)2781-2797
JournalLinear Algebra and Its Applications
Volume430
Issue number10
Publication statusPublished - 1 Jan 2009

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