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On fits to correlated and auto-correlated data

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arxiv 2209.14188 v2 pith:2OAE53KY submitted 2022-09-28 hep-lat cond-mat.stat-mechhep-exhep-phphysics.comp-ph

classification hep-latcond-mat.stat-mechhep-exhep-phphysics.comp-ph
keywords fitsauto-correlatedcorrelateddataoftenbroadcalculationschallenging
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

Observables in particle physics and specifically in lattice QCD calculations are often extracted from fits. Standard $\chi^2$ tests require a reliable determination of the covariance matrix and its inverse from correlated and auto-correlated data, a challenging task often leading to close-to-singular estimates. These motivate modifications of the definition of $\chi^2$ such as uncorrelated fits. We show how the goodness-of-fit measured by their p-value can still be estimated robustly for a broad class of such fits.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. The Equation of State of QCD up to very high temperatures

    hep-lat 2025-02 conditional novelty 7.0 of 10

    Using shifted boundary conditions, the authors compute s/T^3 in Nf=3 QCD from 3 to 165 GeV and find values a few percent below the Stefan-Boltzmann limit.

  2. $B\rightarrow D^{(*)}$ decays from $N_f=2+1+1$ highly improved staggered quarks and clover $b$-quark in the Fermilab interpretation

    hep-lat 2025-01 conditional novelty 4.0 of 10

    FNAL-MILC presents preliminary, bare and blinded form factors for B to D(*) semileptonic decays from 2+1+1 flavor HISQ ensembles using its established analysis framework.

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