Another look at projection properties of hadamard matrices

Evangelaras, H; Koukouvinos, C

dc.contributor.author	Evangelaras, H	en
dc.contributor.author	Koukouvinos, C	en
dc.date.accessioned	2014-03-01T01:19:55Z
dc.date.available	2014-03-01T01:19:55Z
dc.date.issued	2004	en
dc.identifier.issn	0361-0926	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/15764
dc.subject	Distinct runs	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	Orthogonal arrays	en
dc.subject	Screening designs	en
dc.subject.classification	Statistics & Probability	en
dc.subject.other	Computational methods	en
dc.subject.other	Frequencies	en
dc.subject.other	Mathematical operators	en
dc.subject.other	Statistics	en
dc.subject.other	Distinct runs	en
dc.subject.other	Factorial designs	en
dc.subject.other	Generalized resolution	en
dc.subject.other	Generalized worklength pattern	en
dc.subject.other	Hadamard matrices	en
dc.subject.other	Inequivalent projections	en
dc.subject.other	Orthogonal arrays	en
dc.subject.other	Screening designs	en
dc.subject.other	Matrix algebra	en
dc.title	Another look at projection properties of hadamard matrices	en
heal.type	journalArticle	en
heal.identifier.primary	10.1081/STA-120037263	en
heal.identifier.secondary	http://dx.doi.org/10.1081/STA-120037263	en
heal.language	English	en
heal.publicationDate	2004	en
heal.abstract	Suppose a large number of factors (q) is examined in an experimental situation. It is often anticipated that only a few (k) of these will be important. Usually, it is not known which of the q factors will be the important ones, that is, it is not known which k columns of the experimental design will be of further interest. Screening designs are useful for such situations. It is of practical interest for a given k to know all the classes of inequivalent projections of the design into the k dimensions that have certain statistical properties, since it helps experimenters in selecting a screening design with favorable properties. In this paper we study all the classes of inequivalent projections of certain two-level orthogonal arrays that arise from Hadamard matrices, using well known statistical criteria, such as generalized resolution and generalized minimum aberration. We also pay attention to each projection's distinct runs. Results are given for orthogonal arrays with n = 16; 20 and 24 runs, when they are projected into small dimensions. Useful remarks on design selection are made based on the frequency of appearance of each projection design in every Hadamard matrix.	en
heal.publisher	MARCEL DEKKER INC	en
heal.journalName	Communications in Statistics - Theory and Methods	en
dc.identifier.doi	10.1081/STA-120037263	en
dc.identifier.isi	ISI:000222166800011	en
dc.identifier.volume	33	en
dc.identifier.issue	7	en
dc.identifier.spage	1607	en
dc.identifier.epage	1620	en