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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Description/Abstract

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.

Item Type: Article
ISSNs: 0090-5364 (print)
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
ePrint ID: 339788
Date Deposited: 30 May 2012 13:28
Last Modified: 27 Mar 2014 20:22
URI: http://eprints.soton.ac.uk/id/eprint/339788

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