Reassessment of a calibration model by Bayesian reference analysis

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dc.contributor.authorGrientschnig, Dieter
dc.contributor.authorLira, Ignacio
dc.date.accessioned2025-01-21T00:03:36Z
dc.date.available2025-01-21T00:03:36Z
dc.date.issued2011
dc.description.abstractThe Bayesian analysis of a simple calibration model is reconsidered. Observed values are at hand that conform to a Gaussian probability distribution of unknown standard deviation S. The mean of this distribution is given by a polynomial function of the measurand Y. For the coefficients P of this polynomial a state-of-knowledge distribution is available, whereas no prior information about Y and S exists. A conditional reference prior for (Y, S) given P is derived. It shows no functional dependence on the measurand in the case that the calibration function is linear, but depends non-trivially on the measurand otherwise. This prior is compared with other priors that have been used in the literature to analyse the same calibration model. It leads to a different posterior distribution than the application of Supplement 1 to the 'Guide to the Expression of Uncertainty in Measurement'. An example illustrates differences of results founded on the various non-informative priors.
dc.description.funderFondecyt (Chile)
dc.fuente.origenWOS
dc.identifier.doi10.1088/0026-1394/48/1/L02
dc.identifier.issn0026-1394
dc.identifier.urihttps://doi.org/10.1088/0026-1394/48/1/L02
dc.identifier.urihttps://repositorio.uc.cl/handle/11534/95471
dc.identifier.wosidWOS:000286455000002
dc.issue.numero1
dc.language.isoen
dc.pagina.finalL11
dc.pagina.inicioL7
dc.revistaMetrologia
dc.rightsacceso restringido
dc.titleReassessment of a calibration model by Bayesian reference analysis
dc.typeartículo
dc.volumen48
sipa.indexWOS
sipa.trazabilidadWOS;2025-01-12
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