Evaluation of inequivalent projections of Hadamard matrices of order 24

Evangelaras, H; Georgiou, S; Koukouvinos, C

dc.contributor.author	Evangelaras, H	en
dc.contributor.author	Georgiou, S	en
dc.contributor.author	Koukouvinos, C	en
dc.date.accessioned	2014-03-01T01:20:24Z
dc.date.available	2014-03-01T01:20:24Z
dc.date.issued	2004	en
dc.identifier.issn	0026-1335	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/15911
dc.subject	D-efficiency, Ds-efficiency	en
dc.subject	Factorial designs	en
dc.subject	Generalized aberration	en
dc.subject	Generalized resolution	en
dc.subject	Generalized wordlength pattern	en
dc.subject	Hadamard matrices	en
dc.subject	Hidden projection	en
dc.subject	Inequivalent projections	en
dc.subject	Screening designs	en
dc.subject	Uniformity	en
dc.subject.classification	Statistics & Probability	en
dc.subject.other	MINIMUM ABERRATION CRITERIA	en
dc.subject.other	FACTORIAL-DESIGNS	en
dc.subject.other	PLACKETT-BURMAN	en
dc.subject.other	CLASSIFICATION	en
dc.title	Evaluation of inequivalent projections of Hadamard matrices of order 24	en
heal.type	journalArticle	en
heal.identifier.primary	10.1007/s001840300271	en
heal.identifier.secondary	http://dx.doi.org/10.1007/s001840300271	en
heal.language	English	en
heal.publicationDate	2004	en
heal.abstract	Screening designs are useful for situations where a large number of factors (q) is examined but only few (k) of these are expected to be important. It is of practical interest for a given k to know all the inequivalent projections of the design into the k dimensions. In this paper we give all the (combinatorially) inequivalent projections of inequivalent Hadamard matrices of order 24 into k = 3, 4 and 5 dimensions, as well as their frequencies. Then, we sort these projections according to their generalized resolution, generalized aberration and centered L2-discrepancy measure of uniformity. Then, we study the hidden projection properties of these designs as they are introduced by Wang and Wu (1995). The hidden projection property suggests that complex aliasing allows some interactions to be estimated without making additional runs. © Springer-Verlag 2004.	en
heal.publisher	PHYSICA-VERLAG GMBH & CO	en
heal.journalName	Metrika	en
dc.identifier.doi	10.1007/s001840300271	en
dc.identifier.isi	ISI:000189273000005	en
dc.identifier.volume	59	en
dc.identifier.issue	1	en
dc.identifier.spage	51	en
dc.identifier.epage	73	en