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A unified approach in addition or deletion of two level factorial designs

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dc.contributor.author Evangelaras, H en
dc.contributor.author Koukouvinos, C en
dc.contributor.author Mantas, P en
dc.date.accessioned 2014-03-01T01:17:24Z
dc.date.available 2014-03-01T01:17:24Z
dc.date.issued 2002 en
dc.identifier.issn 0167-7152 en
dc.identifier.uri https://dspace.lib.ntua.gr/xmlui/handle/123456789/14514
dc.subject A-optimality en
dc.subject D-optimality en
dc.subject Fractional factorial en
dc.subject Hadamard matrix en
dc.subject Resolution III design en
dc.subject.classification Statistics & Probability en
dc.subject.other OPTIMUM WEIGHING DESIGNS en
dc.subject.other CONSTRUCTION en
dc.title A unified approach in addition or deletion of two level factorial designs en
heal.type journalArticle en
heal.identifier.primary 10.1016/S0167-7152(02)00111-6 en
heal.identifier.secondary http://dx.doi.org/10.1016/S0167-7152(02)00111-6 en
heal.language English en
heal.publicationDate 2002 en
heal.abstract Suppose it is desired to have an optimal resolution III fraction of a 2p factorial in n runs where n ≡ 1 (mod4) or n ≡ 3 (mod 4). If n ≡ 1 (mod 4), we have to decide if we should add a run in a n × p submatrix of a Hadamard matrix of order n, say Hn or, alternatively, if we should delete three runs from a (n + 4) × p submatrix of a Hadamard matrix of order n + 4, say Hn+4, in an optimal manner, respectively. Similarly, when n ≡ 3 (mod 4), we have to decide between optimally adding three more runs to a n × p submatrix of Hn or optimally deleting a single run from a (n + 4) × p submatrix of Hn+4. The question to be studied is whether both strategies give designs that are equally efficient in terms of a well defined optimality criterion. We show that, in both cases, for p = 3 both strategies give equally efficient designs under the D- or the A-optimality criterion. When n ≡ 1 (mod 4) and p > 3, both criteria show that the ""addition"" design is always better than the ""deletion"" design. However, when n ≡ 3 (mod 4) and p > 3, the choice of the most efficient design varies as p enlarges. © 2002 Published by Elsevier Science B.V. en
heal.publisher ELSEVIER SCIENCE BV en
heal.journalName Statistics and Probability Letters en
dc.identifier.doi 10.1016/S0167-7152(02)00111-6 en
dc.identifier.isi ISI:000177915600002 en
dc.identifier.volume 59 en
dc.identifier.issue 1 en
dc.identifier.spage 125 en
dc.identifier.epage 133 en


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