Existence and construction of randomization defining contrast subspaces for factorial designs
Ranjan, Pritam, Bingham, Derek R. and Dean, Angela M. (2009) Existence and construction of randomization defining contrast subspaces for factorial designs. The Annals of Statistics, 37, (6A), 3580-3599. (doi:10.1214/08-AOS644).
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Regular factorial designs with randomization restrictions are widely used in practice. This paper provides a unified approach to the construction of such designs using randomization defining contrast subspaces for the representation of randomization restrictions. We use finite projective geometry to determine the existence of designs with the required structure and develop a systematic approach for their construction. An attractive feature is that commonly used factorial designs with randomization restrictions are special cases of this general representation. Issues related to the use of these designs for particular factorial experiments are also addressed.
|Digital Object Identifier (DOI):||doi:10.1214/08-AOS644|
|Keywords:||Blocked design, collineation, finite projective geometry, randomization restrictions, split-lot design, split-plot design, spreads|
|Subjects:||H Social Sciences > HA Statistics
Q Science > QA Mathematics
|Divisions :||Faculty of Social and Human Sciences > Mathematical Sciences > Statistics
Faculty of Social and Human Sciences > Southampton Statistical Sciences Research Institute
|Accepted Date and Publication Date:||
|Date Deposited:||30 May 2012 13:28|
|Last Modified:||31 Mar 2016 14:29|
|RDF:||RDF+N-Triples, RDF+N3, RDF+XML, Browse.|
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