Existence and construction of randomization defining contrast subspaces for factorial designs
Existence and construction of randomization defining contrast subspaces for factorial designs
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.
Blocked design, collineation, finite projective geometry, randomization restrictions, split-lot design, split-plot design, spreads
3580-3599
Ranjan, Pritam
a6898533-b22a-4af0-a62d-4accc7b9a7ed
Bingham, Derek R.
9f16ac1d-06df-4aac-bf65-aa06c2c2f55a
Dean, Angela M.
9c90540a-cdf4-44ce-9d34-6b7b495a1ea3
2009
Ranjan, Pritam
a6898533-b22a-4af0-a62d-4accc7b9a7ed
Bingham, Derek R.
9f16ac1d-06df-4aac-bf65-aa06c2c2f55a
Dean, Angela M.
9c90540a-cdf4-44ce-9d34-6b7b495a1ea3
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), .
(doi:10.1214/08-AOS644).
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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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: 14 Mar 2024 11:15
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Contributors
Author:
Pritam Ranjan
Author:
Derek R. Bingham
Author:
Angela M. Dean
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