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Comparative analysis of additive and multiplicative BoD models in healthcare performance evaluation

datacite.subject.sdg03:Saúde de Qualidade
datacite.subject.sdg09:Indústria, Inovação e Infraestruturas
datacite.subject.sdg16:Paz, Justiça e Instituições Eficazes
dc.contributor.authorVara, Guilherme
dc.contributor.authorGomes, Marta Castilho
dc.contributor.authorCaldas, Paulo
dc.contributor.authorVarela, Miguel
dc.contributor.authorFerreira, Diogo Cunha
dc.date.accessioned2026-06-26T14:51:51Z
dc.date.available2026-06-26T14:51:51Z
dc.date.issued2026-05-25
dc.description.abstractComposite indicators play a pivotal role across various fields, serving as powerful tools to condense information into a single, comprehensible metric. They function as a link between complex data and practical conclusions, which makes them valuable assets in diverse fields, assisting decision-makers. Since objectivity is vital for policy- and decision making, many researchers base their studies on the Benefit of-the-Doubt (BoD) methodology, which originated from the widely recognised Data Envelopment Analysis. This study provides a detailed comparison between the linear and multiplicative BoD approaches, incorporating both optimistic and pessimistic viewpoints to assess the performance of the Portuguese public hospitals. The linear approach is an additive linear programming model that constructs a piecewise linear and convex efficient frontier with the benchmarks. In contrast, the multiplicative approach constructs logarithmic curves instead of linear segments to define the efficient frontier allowing for greater flexibility by accommodating nonconvex and nonlinear shapes that better reflect the data distribution. As a result, the multiplicative approach achieves a tighter fit to the data, ultimately yielding higher overall scores. The results show that multiplicative scores in the pessimistic approach are lower than linear scores. Conversely, in the optimistic multiplicative approach, while expected to yield superior scores, certain entities lag due to non-compensatory elements. The implementation of the multiplicative BoD is remarkably simple, requiring only minimal changes when compared to the linear BoD. This raises questions about its low adoption and utilization compared to linear methods, despite its apparent advantages.eng
dc.identifier.doi10.1007/s12351-026-01061-0
dc.identifier.eissn1866-1505
dc.identifier.issn1109-2858
dc.identifier.urihttp://hdl.handle.net/10400.1/29159
dc.language.isoeng
dc.peerreviewedyes
dc.publisherSpringer
dc.relationGlobal Health and Tropical Medicine
dc.relation.ispartofOperational Research
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/
dc.subjectHealthcare performance
dc.subjectCOVID-19 pandemic
dc.subjectComposite indicators
dc.subjectMultiplicative benefit-of-the-doubt
dc.subjectData envelopment analysis
dc.titleComparative analysis of additive and multiplicative BoD models in healthcare performance evaluationeng
dc.typejournal article
dspace.entity.typePublication
oaire.awardNumberUID/Multi/04413/2013
oaire.awardTitleGlobal Health and Tropical Medicine
oaire.awardURIinfo:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UID%2FMulti%2F04413%2F2013/PT
oaire.citation.issue3
oaire.citation.titleOperational Research - An International Journal
oaire.citation.volume26
oaire.fundingStream6817 - DCRRNI ID
oaire.versionhttp://purl.org/coar/version/c_970fb48d4fbd8a85
person.familyNameVarela
person.givenNameMiguel
person.identifier2561905
person.identifier.ciencia-id851B-1E8B-9138
person.identifier.orcid0000-0001-8388-1250
person.identifier.scopus-author-id57220753164
project.funder.identifierhttp://doi.org/10.13039/501100001871
project.funder.nameFundação para a Ciência e a Tecnologia
relation.isAuthorOfPublication9a58d107-922e-4ef5-9311-9b4583c91843
relation.isAuthorOfPublication.latestForDiscovery9a58d107-922e-4ef5-9311-9b4583c91843
relation.isProjectOfPublication5a7a17ef-fb7b-49e5-b474-9c4ae38fc4f4
relation.isProjectOfPublication.latestForDiscovery5a7a17ef-fb7b-49e5-b474-9c4ae38fc4f4

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