Bayesian evidence as a tool for comparing datasets

dc.creatorMarshall, Phil
dc.creatorRajguru, Nutan
dc.creatorSlosar, Anze
dc.date2004-12-20
dc.date2007-10-30
dc.date.accessioned2026-07-07T11:29:31Z
dc.date.available2026-07-07T11:29:31Z
dc.descriptionWe introduce a new conservative test for quantifying the consistency of two or more datasets. The test is based on the Bayesian answer to the question, ``How much more probable is it that all my data were generated from the same model system than if each dataset were generated from an independent set of model parameters?''. We make explicit the connection between evidence ratios and the differences in peak chi-squared values, the latter of which are more widely used and more cheaply calculated. Calculating evidence ratios for three cosmological datasets (recent CMB data (WMAP, ACBAR, CBI, VSA), SDSS and the most recent SNe Type 1A data) we find that concordance is favoured and the tightening of constraints on cosmological parameters is indeed justified.
dc.description4 pages, accepted by Phys. Rev. D
dc.identifierhttps://arxiv.org/abs/astro-ph/0412535
dc.identifierhttp://arxiv.org/abs/astro-ph/0412535
dc.identifierPhys.Rev.D73:067302,2006
dc.identifierdoi:10.1103/PhysRevD.73.067302
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/196741
dc.subjectAstrophysics
dc.titleBayesian evidence as a tool for comparing datasets
dc.typetext

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