Orthogonal 2k and 3k factorial designs constructed using sequences with zero autocorrelation

Koukouvinos, C

dc.contributor.author	Koukouvinos, C	en
dc.date.accessioned	2014-03-01T01:12:10Z
dc.date.available	2014-03-01T01:12:10Z
dc.date.issued	1996	en
dc.identifier.issn	01677152	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/11990
dc.subject	Autocorrelation	en
dc.subject	Circulant	en
dc.subject	Construction	en
dc.subject	Linear model	en
dc.subject	Orthogonal designs	en
dc.title	Orthogonal 2k and 3k factorial designs constructed using sequences with zero autocorrelation	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/0167-7152(95)00082-8	en
heal.identifier.secondary	http://dx.doi.org/10.1016/0167-7152(95)00082-8	en
heal.publicationDate	1996	en
heal.abstract	In factorial experiments the use of orthogonal designs provides better estimates for the main effects and interactions. In 2k and 3k factorial experiments, we obtain orthogonal designs from Hadamard matrices and weighing matrices, respectively. Sequences with zero autocorrelation can be used to construct Hadamard matrices and weighing matrices. In this paper, we give new sets of sequences with entries from {0, ±a, ±b, +c, ±d} on the commuting variables a,b,c,d and zero autocorrelation. Then we use these sequences to construct some new orthogonal designs.	en
heal.journalName	Statistics and Probability Letters	en
dc.identifier.doi	10.1016/0167-7152(95)00082-8	en
dc.identifier.volume	28	en
dc.identifier.issue	1	en
dc.identifier.spage	59	en
dc.identifier.epage	63	en