A study of the efficiency of chemical balance weighing designs

cris.virtual.author-orcid0000-0002-5550-7007
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cris.virtualsource.author-orcidb7671e1c-9850-4ccf-9eeb-882ff1d3c932
cris.virtualsource.author-orcid#PLACEHOLDER_PARENT_METADATA_VALUE#
dc.abstract.enSome elements concerning the problem of determining chemical balance designs are considered. A method is presented for determining the best design in classes where no D-optimal design exists. In this case, we obtain a design that is highly D-efficient. The efficiency of such a design is presented as a function of the number of parameters and measurements, and its properties are studied. Charts showing the efficiency function for selected classes of designs are presented.
dc.affiliationWydział Rolnictwa, Ogrodnictwa i Biotechnologii
dc.affiliation.instituteKatedra Metod Matematycznych i Statystycznych
dc.contributor.authorGraczyk, Małgorzata
dc.contributor.authorCeranka, Bronisław
dc.date.access2025-07-11
dc.date.accessioned2025-07-14T10:22:47Z
dc.date.available2025-07-14T10:22:47Z
dc.date.copyright2025-06-30
dc.date.issued2025
dc.description.abstract<jats:title>Abstract</jats:title> <jats:p>Some elements concerning the problem of determining chemical balance designs are considered. A method is presented for determining the best design in classes where no D-optimal design exists. In this case, we obtain a design that is highly D-efficient. The efficiency of such a design is presented as a function of the number of parameters and measurements, and its properties are studied. Charts showing the efficiency function for selected classes of designs are presented.</jats:p>
dc.description.accesstimeat_publication
dc.description.bibliographyil., bibliogr.
dc.description.financepublication_nocost
dc.description.financecost0,00
dc.description.number1
dc.description.points20
dc.description.versionfinal_published
dc.description.volume62
dc.identifier.doi10.2478/bile-2025-0005
dc.identifier.eissn2199-577X
dc.identifier.issn1896-3811
dc.identifier.urihttps://sciencerep.up.poznan.pl/handle/item/3865
dc.identifier.weblinkhttps://sciendo.com/article/10.2478/bile-2025-0005
dc.languageen
dc.relation.ispartofBiometrical Letters
dc.relation.pages91-100
dc.rightsCC-BY-NC-ND
dc.sciencecloudsend
dc.share.typeOPEN_JOURNAL
dc.subject.enchemical balance weighing
dc.subject.endesign plan of experiment
dc.subject.enD-optimality
dc.titleA study of the efficiency of chemical balance weighing designs
dc.typeJournalArticle
dspace.entity.typePublication
oaire.citation.issue1
oaire.citation.volume62