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Co.$$c2023 000482723 3367_ $$2DRIVER$$aarticle 000482723 3367_ $$2DataCite$$aOutput Types/Journal article 000482723 3367_ $$0PUB:(DE-HGF)16$$2PUB:(DE-HGF)$$aJournal Article$$bjournal$$mjournal$$s1675949209_20586 000482723 3367_ $$2BibTeX$$aARTICLE 000482723 3367_ $$2ORCID$$aJOURNAL_ARTICLE 000482723 3367_ $$00$$2EndNote$$aJournal Article 000482723 500__ $$a15 pages, 4 figures 000482723 520__ $$aObservables 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. 000482723 536__ $$0G:(DE-HGF)POF4-611$$a611 - Fundamental Particles and Forces (POF4-611)$$cPOF4-611$$fPOF IV$$x0 000482723 588__ $$aDataset connected to CrossRef, Journals: bib-pubdb1.desy.de 000482723 650_7 $$2INSPIRE$$alattice field theory 000482723 650_7 $$2INSPIRE$$acovariance 000482723 650_7 $$2autogen$$aChi-squared test 000482723 650_7 $$2autogen$$aGoodness of fit 000482723 650_7 $$2autogen$$aAutocorrelations 000482723 693__ $$0EXP:(DE-MLZ)NOSPEC-20140101$$5EXP:(DE-MLZ)NOSPEC-20140101$$eNo specific instrument$$x0 000482723 7001_ $$0P:(DE-H253)PIP1018357$$aBruno, Mattia$$b1$$eCorresponding author 000482723 773__ $$0PERI:(DE-600)1466511-6$$a10.1016/j.cpc.2022.108643$$gVol. 285, p. 108643 -$$p108643$$tComputer physics communications$$v285$$x0010-4655$$y2023 000482723 7870_ $$0PUBDB-2022-05083$$aBruno, Mattia et.al.$$d2022$$iIsParent$$rarXiv:2209.14188 ; DESY-22-154$$tOn fits to correlated and auto-correlated data 000482723 8564_ $$uhttps://bib-pubdb1.desy.de/record/482723/files/HTML-Approval_of_scientific_publication.html 000482723 8564_ $$uhttps://bib-pubdb1.desy.de/record/482723/files/PDF-Approval_of_scientific_publication.pdf 000482723 8564_ $$uhttps://bib-pubdb1.desy.de/record/482723/files/1-s2.0-S0010465522003629-main.pdf$$yRestricted 000482723 8564_ $$uhttps://bib-pubdb1.desy.de/record/482723/files/chiexp-paper.pdf$$yPublished on 2023-04-01. 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