A Bayesian quantification of consistency in correlated data sets
| Autor: | Shahab Joudaki, Tilman Tröster, Massimo Viola, Benjamin Joachimi, Fabian Köhlinger, Marika Asgari |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2020 |
| Předmět: |
Physics
Cosmology and Nongalactic Astrophysics (astro-ph.CO) 010308 nuclear & particles physics business.industry Data domain Bayesian probability Estimator FOS: Physical sciences Astronomy and Astrophysics 01 natural sciences Bin Data set Correlation Software Space and Planetary Science 0103 physical sciences Statistics Without loss of generality business 010303 astronomy & astrophysics Astrophysics - Cosmology and Nongalactic Astrophysics |
| Zdroj: | Monthly Notices of the Royal Astronomical Society |
| Popis: | We present three tiers of Bayesian consistency tests for the general case of $correlated$ datasets. Building on duplicates of the model parameters assigned to each dataset, these tests range from Bayesian evidence ratios as a global summary statistic, to posterior distributions of model parameter differences, to consistency tests in the data domain derived from posterior predictive distributions. For each test we motivate meaningful threshold criteria for the internal consistency of datasets. Without loss of generality we focus on mutually exclusive, correlated subsets of the same dataset in this work. As an application, we revisit the consistency analysis of the two-point weak lensing shear correlation functions measured from KiDS-450 data. We split this dataset according to large vs. small angular scales, tomographic redshift bin combinations, and estimator type. We do not find any evidence for significant internal tension in the KiDS-450 data, with significances below $3\, \sigma$ in all cases. Software and data used in this analysis can be found at http://kids.strw.leidenuniv.nl/sciencedata.php Comment: Accepted by MNRAS. Conclusions unchanged with respect to v1, but now a more pedagogical introduction to all consistency tests is included in (new) Section 3. Software and data used in this analysis are available at http://kids.strw.leidenuniv.nl/sciencedata.php |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|