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

cris.lastimport.scopus2025-10-23T06:55:12Z
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.enSome questions related to the problem of determining a chemical balance weighing design satisfying the criterion of D-optimality are considered. The theory is based on the assumption that the measurements are equally positively correlated and have the same variances. In this paper, we present a method of adding three measurements to a regular D-optimal chemical balance weighing designs to obtain a highly D-efficient chemical balance weighing design. The problem formulated in this way is an extension of results contained in a paper previously published in Biometrical Letters.
dc.affiliationWydział Rolnictwa, Ogrodnictwa i Biotechnologii
dc.affiliation.instituteKatedra Metod Matematycznych i Statystycznych
dc.contributor.authorGraczyk, Małgorzata
dc.contributor.authorCeranka, Bronisław
dc.date.access2025-09-01
dc.date.accessioned2025-09-01T12:04:13Z
dc.date.available2025-09-01T12:04:13Z
dc.date.copyright2023-12-23
dc.date.issued2023
dc.description.abstract<jats:title>Summary</jats:title> <jats:p>Some questions related to the problem of determining a chemical balance weighing design satisfying the criterion of D-optimality are considered. The theory is based on the assumption that the measurements are equally positively correlated and have the same variances. In this paper, we present a method of adding three measurements to a regular D-optimal chemical balance weighing designs to obtain a highly D-efficient chemical balance weighing design. The problem formulated in this way is an extension of results contained in a paper previously published 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.number2
dc.description.points20
dc.description.versionfinal_published
dc.description.volume60
dc.identifier.doi10.2478/bile-2023-0012
dc.identifier.eissn2199-577X
dc.identifier.issn1896-3811
dc.identifier.urihttps://sciencerep.up.poznan.pl/handle/item/4565
dc.identifier.weblinkhttps://sciendo.com/pl/article/10.2478/bile-2023-0012
dc.languageen
dc.pbn.affiliationagriculture and horticulture
dc.relation.ispartofBiometrical Letters
dc.relation.pages177-186
dc.rightsCC-BY-NC-ND
dc.sciencecloudnosend
dc.share.typeOPEN_JOURNAL
dc.subject.enchemical balance weighing
dc.subject.endesign plan of experiment
dc.subject.enD-optimality
dc.titleD-optimal chemical balance weighing designs with positively correlated errors: part II
dc.typeJournalArticle
dspace.entity.typePublication
oaire.citation.issue2
oaire.citation.volume60