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D-optimal chemical balance weighing designs with positively correlated errors: part I

cris.virtual.author-orcid0000-0002-5550-7007
cris.virtual.author-orcid#PLACEHOLDER_PARENT_METADATA_VALUE#
cris.virtualsource.author-orcidb7671e1c-9850-4ccf-9eeb-882ff1d3c932
cris.virtualsource.author-orcid#PLACEHOLDER_PARENT_METADATA_VALUE#
dc.abstract.enIn this paper, the problem of indicating chemical balance weighing designs satisfying the criterion of D-optimality is considered. Moreover, we study such designs under the assumption that the measurements are equally positively correlated and they have the same variances. We formulate a method to add at most four runs to a regular D-optimal chemical balance weighing design to obtain a highly D-efficient chemical balance weighing deign.
dc.affiliationWydział Rolnictwa, Ogrodnictwa i Biotechnologii
dc.affiliation.instituteKatedra Metod Matematycznych i Statystycznych
dc.contributor.authorGraczyk, Małgorzata
dc.contributor.authorCeranka, Bronisław
dc.date.access2023
dc.date.accessioned2025-11-03T13:05:24Z
dc.date.available2025-11-03T13:05:24Z
dc.date.copyright2023-07-04
dc.date.issued2023
dc.description.abstract<jats:title>Summary</jats:title> <jats:p>In this paper we consider issues related to the determination of chemical balance weighing designs satisfying the criterion of D-optimality. This problem is considered under the assumption that the measurements are equally positively correlated and they have the same variances. We answer the question of how to add four runs to a regular D-optimal chemical balance weighing design in order to obtain a highly D-efficient design. The problem formulated in this way leads to an extension of results contained in a previous paper in <jats:italic>Biometrical Letters</jats:italic>.</jats:p>
dc.description.accesstimeat_publication
dc.description.bibliographybibliogr.
dc.description.financepublication_nocost
dc.description.financecost0,00
dc.description.number1
dc.description.points20
dc.description.versionfinal_published
dc.description.volume60
dc.identifier.doi10.2478/bile-2023-0000
dc.identifier.issn1896-3811
dc.identifier.urihttps://sciencerep.up.poznan.pl/handle/item/5696
dc.identifier.weblinkhttps://reference-global.com/article/10.2478/bile-2023-0004
dc.languageen
dc.pbn.affiliationagriculture and horticulture
dc.relation.ispartofBiometrical Letters
dc.relation.pages53-63
dc.rightsCC-BY-NC-ND
dc.sciencecloudnosend
dc.share.typeOPEN_JOURNAL
dc.subject.enchemical balance weighing design
dc.subject.enD-optimality
dc.subject.enplan of experiment
dc.titleD-optimal chemical balance weighing designs with positively correlated errors: part I
dc.typeJournalArticle
dspace.entity.typePublication
oaire.citation.issue1
oaire.citation.volume61