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dc.contributor.authorKabera, Gaëtan M.en
dc.contributor.authorHaines, Linda M.en
dc.contributor.authorNdlovu, Principalen
dc.date.accessioned2016-01-28T10:40:09Zen
dc.date.available2016-01-28T10:40:09Zen
dc.date.issued2015-09-03en
dc.identifier.citationThe analytic construction of D-optimal designs for the two-variable binary logistic regression model without interaction 2014, 49 (5):1169 Statisticsen
dc.identifier.issn0233-1888en
dc.identifier.issn1029-4910en
dc.identifier.doi10.1080/02331888.2014.937342en
dc.identifier.urihttp://hdl.handle.net/11288/595089en
dc.description.abstractCandidate locally D-optimal designs for the binary two-variable logistic model with no interaction, which comprise 3 and 4 support points lying in the first quadrant of the two-dimensional Euclidean space, were introduced by Haines et al. (D-optimal designs for logistic regression in two variables. In: Lopez-Fidalgo J, Rodrigez-Diaz JM, Torsney B, editors. MODA8 – advances in model-oriented designs and analysis. Heidelberg: Physica-Verlag; 2007. p. 91–98). The authors proved algebraically the global D-optimality of the 3-point design for the special case in which the intercept parameter is equal to−1.5434. However for other selected values of the intercept parameter, the global D-optimality of the proposed 3- and 4-point designs was only demonstrated numerically. In this paper, we provide analytical proofs of the D-optimality of these 3- and 4-point designs for all negative and zero intercept parameters of the binary two-variable logistic model with no interaction. The results are extended to the construction of D-optimal designs on a rectangular design space and illustrated by means of two examples of which one is a real example taken from the literature.en
dc.language.isoenen
dc.relation.urlhttp://www.tandfonline.com/doi/full/10.1080/02331888.2014.937342en
dc.rightsArchived with thanks to Statisticsen
dc.subjecttrapezium designen
dc.subjectD-optimalityen
dc.subjectbinary two-variable logistic modelen
dc.subjectno interactionen
dc.subjectstand-ardized variance functionen
dc.titleThe analytic construction of D-optimal designs for the two-variable binary logistic regression model without interactionen
dc.typeArticleen
dc.identifier.journalStatisticsen
dc.research.unitBiostatistics Uniten
dc.date.epub2014-07-09en


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