Optimal designs for 2<sup>k</sup> paired comparison experiments

Street, DJ; Bunch, DS; Moore, BJ

Optimal designs for 2<sup>k</sup> paired comparison experiments

Street, DJ

Bunch, DS Moore, BJ

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Publication Type:: Journal Article
Citation:: Communications in Statistics - Theory and Methods, 2001, 30 (10), pp. 2149 - 2171
Issue Date:: 2001-01-01

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Field	Value	Language
dc.contributor.author	Street, DJ https://orcid.org/0000-0002-4476-0656	en_US
dc.contributor.author	Bunch, DS	en_US
dc.contributor.author	Moore, BJ https://orcid.org/0000-0002-4460-0775	en_US
dc.date.issued	2001-01-01	en_US
dc.identifier.citation	Communications in Statistics - Theory and Methods, 2001, 30 (10), pp. 2149 - 2171	en_US
dc.identifier.issn	0361-0926	en_US
dc.identifier.uri	http://hdl.handle.net/10453/3485
dc.description.abstract	In this paper we establish the form of the optimal paired comparison design when there are k attributes, each with two levels, for testing for main effects, for main effects and two factor interactions and for main effects and two and three factor interactions. In all cases we assume that all pairs with the same number of attributes different appear equally often. In this setting the D and A optimal designs for main effects are the foldover pairs and those for main effects and two factor interactions have pairs in which about half the attributes are different. Copyright © 2001 by Marcel Dekker, Inc.	en_US
dc.relation.ispartof	Communications in Statistics - Theory and Methods	en_US
dc.relation.isbasedon	10.1081/STA-100106068	en_US
dc.subject.classification	Statistics & Probability	en_US
dc.title	Optimal designs for 2<sup>k</sup> paired comparison experiments	en_US
dc.type	Journal Article
utslib.citation.volume	10	en_US
utslib.citation.volume	30	en_US
utslib.for	1402 Applied Economics	en_US
utslib.for	140302 Econometric and Statistical Methods	en_US
utslib.for	010401 Applied Statistics	en_US
utslib.for	0104 Statistics	en_US
utslib.for	0199 Other Mathematical Sciences	en_US
pubs.embargo.period	Not known	en_US
pubs.organisational-group	/University of Technology Sydney
pubs.organisational-group	/University of Technology Sydney/Faculty of Business
pubs.organisational-group	/University of Technology Sydney/Faculty of Science
pubs.organisational-group	/University of Technology Sydney/Faculty of Science/School of Mathematical and Physical Sciences
pubs.organisational-group	/University of Technology Sydney/Strength - CHERE - Centre for Health Economics Research and Evaluation
utslib.copyright.status	closed_access
pubs.issue	10	en_US
pubs.publication-status	Published	en_US
pubs.volume	30	en_US

Abstract:

In this paper we establish the form of the optimal paired comparison design when there are k attributes, each with two levels, for testing for main effects, for main effects and two factor interactions and for main effects and two and three factor interactions. In all cases we assume that all pairs with the same number of attributes different appear equally often. In this setting the D and A optimal designs for main effects are the foldover pairs and those for main effects and two factor interactions have pairs in which about half the attributes are different. Copyright © 2001 by Marcel Dekker, Inc.

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http://hdl.handle.net/10453/3485