On maximizing a design estimation efficiency using hidden projection properties

Evangelaras, H; Koukouvinos, C

dc.contributor.author	Evangelaras, H	en
dc.contributor.author	Koukouvinos, C	en
dc.date.accessioned	2014-03-01T01:19:21Z
dc.date.available	2014-03-01T01:19:21Z
dc.date.issued	2003	en
dc.identifier.issn	0167-7152	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/15441
dc.subject	D-efficiency	en
dc.subject	Factorial designs	en
dc.subject	Hadamard matrices	en
dc.subject	Hidden projection	en
dc.subject	Inequivalent projections	en
dc.subject	Screening designs	en
dc.subject.classification	Statistics & Probability	en
dc.title	On maximizing a design estimation efficiency using hidden projection properties	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/S0167-7152(03)00051-8	en
heal.identifier.secondary	http://dx.doi.org/10.1016/S0167-7152(03)00051-8	en
heal.language	English	en
heal.publicationDate	2003	en
heal.abstract	Hadamard matrices have traditionally been used for screening main effects only, because of their complex aliasing structures. The hidden projection property, as introduced by Wang and Wu (Statistica Sinica 5 (1995) 235-250), suggests that complex aliasing allows some interactions to be entertained and estimated without making additional runs in order to form full or fractional factorial designs as the geometric approach inclines. However, in most cases, because the original data are sufficiently noisy to mask the significance of any two-factor interaction we need to add (fewer) runs that give the maximum amount of information for this purpose. In this paper, we list what runs give the maximum amount of information needed in order to entertain and estimate some two-factor interactions for all the inequivalent projections of Hadamard matrices of order n = 16,20 and 24 when they are projected into four and five dimensions. (C) 2003 Elsevier Science B.V. All rights reserved.	en
heal.publisher	ELSEVIER SCIENCE BV	en
heal.journalName	Statistics and Probability Letters	en
dc.identifier.doi	10.1016/S0167-7152(03)00051-8	en
dc.identifier.isi	ISI:000182641100012	en
dc.identifier.volume	62	en
dc.identifier.issue	4	en
dc.identifier.spage	419	en
dc.identifier.epage	427	en