Skip navigation
Skip navigation

Construction of resolvable row-column designs based on contractions

Wright, C. L.; John, J. A.; Whitaker, D.; Williams, Emlyn

Description

This paper defines the contraction of a resolvable row-column design for more than two replicates. It shows that the (M,S)-optimality criterion for the row-column designs can be expressed simply in terms of the elements of the row and column incidence matrices of the contraction. This allows the development of a very fast algorithm to construct optimal or near-optimal resolvable row-column designs. The performance of such an algorithm is compared with an existing algorithm.

dc.contributor.authorWright, C. L.
dc.contributor.authorJohn, J. A.
dc.contributor.authorWhitaker, D.
dc.contributor.authorWilliams, Emlyn
dc.date.accessioned2015-12-08T22:36:23Z
dc.identifier.issn1369-1473
dc.identifier.urihttp://hdl.handle.net/1885/35229
dc.description.abstractThis paper defines the contraction of a resolvable row-column design for more than two replicates. It shows that the (M,S)-optimality criterion for the row-column designs can be expressed simply in terms of the elements of the row and column incidence matrices of the contraction. This allows the development of a very fast algorithm to construct optimal or near-optimal resolvable row-column designs. The performance of such an algorithm is compared with an existing algorithm.
dc.publisherBlackwell Publishing Ltd
dc.sourceAustralian and New Zealand Journal of Statistics
dc.subject(M, S)-optimality
dc.subjectAverage efficiency factors
dc.subjectCanonical efficiency factors
dc.subjectContractions
dc.subjectInterchange algorithms
dc.titleConstruction of resolvable row-column designs based on contractions
dc.typeJournal article
local.description.notesImported from ARIES
local.identifier.citationvolume47
dc.date.issued2005
local.identifier.absfor010401 - Applied Statistics
local.identifier.ariespublicationu4105084xPUB122
local.type.statusPublished Version
local.contributor.affiliationWright, C.L., University of Waikato
local.contributor.affiliationJohn, J.A., University of Waikato
local.contributor.affiliationWhitaker, D., University of Waikato
local.contributor.affiliationWilliams, Emlyn, College of Physical and Mathematical Sciences, ANU
local.description.embargo2037-12-31
local.bibliographicCitation.issue1
local.bibliographicCitation.startpage119
local.bibliographicCitation.lastpage124
dc.date.updated2015-12-08T09:49:53Z
local.identifier.scopusID2-s2.0-16244422964
CollectionsANU Research Publications

Download

File Description SizeFormat Image
01_Wright_Construction_of_resolvable_2005.pdf114.08 kBAdobe PDF    Request a copy


Items in Open Research are protected by copyright, with all rights reserved, unless otherwise indicated.

Updated:  17 November 2022/ Responsible Officer:  University Librarian/ Page Contact:  Library Systems & Web Coordinator