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http://hdl.handle.net/1942/33025
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DC Field | Value | Language |
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dc.contributor.author | VERBEECK, Johan | - |
dc.contributor.author | DELTUVAITE-THOMAS, Vaiva | - |
dc.contributor.author | BERCKMOES, Ben | - |
dc.contributor.author | BURZYKOWSKI, Tomasz | - |
dc.contributor.author | AERTS, Marc | - |
dc.contributor.author | THAS, Olivier | - |
dc.contributor.author | BUYSE, Marc | - |
dc.contributor.author | MOLENBERGHS, Geert | - |
dc.date.accessioned | 2021-01-04T10:19:43Z | - |
dc.date.available | 2021-01-04T10:19:43Z | - |
dc.date.issued | 2020 | - |
dc.date.submitted | 2021-01-04T10:12:10Z | - |
dc.identifier.citation | Statistical Methods in Medical Research, p. 747-768 | - |
dc.identifier.issn | 0962-2802 | - |
dc.identifier.uri | http://hdl.handle.net/1942/33025 | - |
dc.description.abstract | In reliability theory, diagnostic accuracy, and clinical trials, the quantity PðX > YÞ þ 1=2PðX ¼ YÞ, also known as the Probabilistic Index (PI), is a common treatment effect measure when comparing two groups of observations. The quantity PðX > YÞ À PðY > XÞ, a linear transformation of PI known as the net benefit, has also been advocated as an intuitively appealing treatment effect measure. Parametric estimation of PI has received a lot of attention in the past 40 years, with the formulation of the Uniformly Minimum-Variance Unbiased Estimator (UMVUE) for many distributions. However, the non-parametric Mann-Whitney estimator of the PI is also known to be UMVUE in some situations. To understand this seeming contradiction, in this paper a systematic comparison is performed between the non-parametric estimator for the PI and parametric UMVUE estimators in various settings. We show that the Mann-Whitney estimator is always an unbiased estimator of the PI with univariate, completely observed data, while the parametric UMVUE is not when the distribution is misspecified. Additionally, the Mann-Whitney estimator is the UMVUE when observations belong to an unrestricted family. When observations come from a more restrictive family of distributions, the loss in efficiency for the non-parametric estimator is limited in realistic clinical scenarios. In conclusion, the Mann-Whitney estimator is simple to use and is a reliable estimator for the PI and net benefit in realistic clinical scenarios. | - |
dc.language.iso | en | - |
dc.publisher | SAGE PUBLICATIONS LTD | - |
dc.subject.other | Completeness | - |
dc.subject.other | relative efficiency | - |
dc.subject.other | net benefit | - |
dc.subject.other | probabilistic index | - |
dc.subject.other | UMVUE | - |
dc.subject.other | unbiased | - |
dc.subject.other | Wilcoxon-Mann-Whitney | - |
dc.title | Unbiasedness and efficiency of non-parametric and UMVUE estimators of the probabilistic index and related statistics | - |
dc.type | Journal Contribution | - |
dc.identifier.epage | 768 | - |
dc.identifier.issue | 3 | - |
dc.identifier.spage | 747 | - |
dc.identifier.volume | 30 | - |
local.bibliographicCitation.jcat | A1 | - |
local.publisher.place | 1 OLIVERS YARD, 55 CITY ROAD, LONDON EC1Y 1SP, ENGLAND | - |
local.type.refereed | Refereed | - |
local.type.specified | Article | - |
dc.identifier.doi | 10.1177/0962280220966629 | - |
dc.identifier.isi | 000634854900008 | - |
dc.identifier.eissn | 1477-0334 | - |
local.provider.type | CrossRef | - |
local.uhasselt.uhpub | yes | - |
local.uhasselt.international | yes | - |
item.contributor | VERBEECK, Johan | - |
item.contributor | DELTUVAITE-THOMAS, Vaiva | - |
item.contributor | BERCKMOES, Ben | - |
item.contributor | BURZYKOWSKI, Tomasz | - |
item.contributor | AERTS, Marc | - |
item.contributor | THAS, Olivier | - |
item.contributor | BUYSE, Marc | - |
item.contributor | MOLENBERGHS, Geert | - |
item.fullcitation | VERBEECK, Johan; DELTUVAITE-THOMAS, Vaiva; BERCKMOES, Ben; BURZYKOWSKI, Tomasz; AERTS, Marc; THAS, Olivier; BUYSE, Marc & MOLENBERGHS, Geert (2020) Unbiasedness and efficiency of non-parametric and UMVUE estimators of the probabilistic index and related statistics. In: Statistical Methods in Medical Research, p. 747-768. | - |
item.accessRights | Restricted Access | - |
item.fulltext | With Fulltext | - |
item.validation | ecoom 2022 | - |
crisitem.journal.issn | 0962-2802 | - |
crisitem.journal.eissn | 1477-0334 | - |
Appears in Collections: | Research publications |
Files in This Item:
File | Description | Size | Format | |
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0962280220966629.pdf Restricted Access | Published version | 812.68 kB | Adobe PDF | View/Open Request a copy |
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