On the use of Hadamard matrices in factorial designs

Evangelaras, H; Koukouvinos, C

dc.contributor.author	Evangelaras, H	en
dc.contributor.author	Koukouvinos, C	en
dc.date.accessioned	2014-03-01T01:19:23Z
dc.date.available	2014-03-01T01:19:23Z
dc.date.issued	2003	en
dc.identifier.issn	0315-3681	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/15456
dc.relation.uri	http://www.scopus.com/inward/record.url?eid=2-s2.0-0242595627&partnerID=40&md5=a50fb635dd4b1062217183f51d03bd13	en
dc.subject	Factorial designs	en
dc.subject	Generalized resolution	en
dc.subject	Generalized wordlength pattern	en
dc.subject	Hadamard matrices	en
dc.subject	Inequivalent projections	en
dc.subject	Screening designs	en
dc.subject	Uniformity	en
dc.subject.classification	Mathematics, Applied	en
dc.subject.classification	Statistics & Probability	en
dc.subject.other	MINIMUM ABERRATION	en
dc.subject.other	PLACKETT	en
dc.subject.other	BURMAN	en
dc.title	On the use of Hadamard matrices in factorial designs	en
heal.type	journalArticle	en
heal.language	English	en
heal.publicationDate	2003	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 discuss the application of Hadamard matrices as screening designs. In particular, we study all the inequivalent projections of inequivalent Hadamard matrices of orders 16, 20 and 24 into k = 3, 4 and 5 dimensions. Then we sort them using the generalized resolution, generalized aberration and uniformity criteria. We also present an illustrative example of the projective properties of Hadamard matrices using a simulated experimental situation with 20 runs.	en
heal.publisher	UTIL MATH PUBL INC	en
heal.journalName	Utilitas Mathematica	en
dc.identifier.isi	ISI:000186404200005	en
dc.identifier.volume	64	en
dc.identifier.spage	45	en
dc.identifier.epage	63	en