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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), pp. 3580-3599. (doi:10.1214/08-AOS644).

Record type: Article

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.

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More information

Published date: 2009
Keywords: Blocked design, collineation, finite projective geometry, randomization restrictions, split-lot design, split-plot design, spreads
Organisations: Statistics, Statistical Sciences Research Institute

Identifiers

Local EPrints ID: 339788
URI: http://eprints.soton.ac.uk/id/eprint/339788
ISSN: 0090-5364
PURE UUID: e5f54490-0041-444f-91fd-775c9c9598b1

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Date deposited: 30 May 2012 13:28
Last modified: 18 Jul 2017 05:52

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Contributors

Author: Pritam Ranjan
Author: Derek R. Bingham
Author: Angela M. Dean

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