On the use of Hadamard matrices in factorial designs

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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 http://hdl.handle.net/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

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