The concept of majorization in experimental design

Pericleous, K; Kounias, S

dc.contributor.author	Pericleous, K	en
dc.contributor.author	Kounias, S	en
dc.date.accessioned	2014-03-01T02:14:48Z
dc.date.available	2014-03-01T02:14:48Z
dc.date.issued	2012	en
dc.identifier.issn	03610926	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/30125
dc.subject	φ-Optimality	en
dc.subject	Discrete	en
dc.subject	Information function	en
dc.subject	Universal optimality	en
dc.title	The concept of majorization in experimental design	en
heal.type	journalArticle	en
heal.identifier.primary	10.1080/03610926.2011.607533	en
heal.identifier.secondary	http://dx.doi.org/10.1080/03610926.2011.607533	en
heal.publicationDate	2012	en
heal.abstract	Row and column designs are examined and the concept of majorization is applied to find optimal designs, when the observations are either independent or dependent. The dependence follows a first-order autoregression with parameter α. The case of two treatments is examined and the universally optimal or φ-optimal designs are given, for different values of a, when the number of experimental units is even or odd. A filtering procedure is followed to reduce the number of competing designs. Copyright © Taylor & Francis Group, LLC.	en
heal.journalName	Communications in Statistics - Theory and Methods	en
dc.identifier.doi	10.1080/03610926.2011.607533	en
dc.identifier.volume	41	en
dc.identifier.issue	16-17	en
dc.identifier.spage	2836	en
dc.identifier.epage	2850	en