Abstract
The problem of combining two or more measurements of the same unknown quantity θ can be addressed in general by building a likelihood function that combines two or more data samples. If the measurements are independent, the combined likelihood function is given by the product of the individual likelihood functions and depends on the unknown parameter present in each of them, at least some of which are in common among different measurements. The minimization of the combined likelihood function provides an estimate of θ that takes into account all the individual data samples.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
The ALEPH, DELPHI, L3, OPAL Collaborations, the LEP Electroweak Working Group: Electroweak measurements in electron-positron collisions at W-boson-pair energies at LEP. Phys. Rep. 532, 119 (2013)
The ALEPH, DELPHI, L3, OPAL, SLD Collaborations, the LEP Electroweak Working Group, the SLD Electroweak and Heavy Flavour Groups: Precision electroweak measurements on the Z resonance. Phys. Rep. 427, 257 (2006)
The GFitter Group, Baak, M., et al.: The global electroweak fit at NNLO and prospects for the LHC and ILC. Eur. Phys. J. C 74, 3046 (2014)
The LEP Electroweak Working Group. http://lepewwg.web.cern.ch/LEPEWWG/
A Generic Fitter Project for HEP Model Testing. http://project-gfitter.web.cern.ch/project-gfitter/
Lyons, L., Gibaut, D., Clifford, P.: How to combine correlated estimates of a single physical quantity. Nucl. Inst. Methods A270, 110–117 (1988)
Greenlee, H.: Combining CDF and D0 physics results. Fermilab Workshop on Confidence Limits (2000)
The CDF and D0 Collaborations: Combination of CDF and DO results on the mass of the top quark using up to 5.8 fb−1 of data. FERMILAB-TM-2504-E, CDF-NOTE-10549, D0-NOTE-6222 (2011)
The ATLAS and CMS Collaborations: Combination of ATLAS and CMS results on the mass of the top quark using up to 4.9 fb−1 of data. ATLAS-CONF-2012-095, CMS-PAS-TOP-12-001 (2012)
Valassi, A., Chierici, R.: Information and treatment of unknown correlations in the combination of measurements using the BLUE method. Eur. Phys. J. C 74, 2717 (2014)
ATLAS and CMS Collaborations: Combination of ATLAS and CMS results on the mass of the top-quark using up to 4.9 fb -1 of \(\sqrt{s} = 7\) TeV LHC data. ATLAS-CONF-2013-102, CMS-PAS-TOP-13-005 (2013)
ATLAS and CMS Collaborations: Combination of ATLAS and CMS ttbar charge asymmetry measurements using LHC proton-proton collisions at \(\sqrt{s} = 7\) TeV. ATLAS-CONF-2014-012, CMS-PAS-TOP-14-006 (2014)
ATLAS, CMS, CDF and D0 Collaborations: First combination of Tevatron and LHC measurements of the top-quark mass. ATLAS-CONF-2014-008, CDF-NOTE-11071, CMS-PAS-TOP-13-014, D0-NOTE-6416, FERMILAB-TM-2582, arXiv:1403.4427 (2014)
Lyons, L., Martin, A.J., Saxon, D.H.: On the determination of the B lifetime by combining the results of different experiments. Phys. Rev. D41, 982–985 (1990)
Lista, L.: The bias of the unbiased estimator: a study of the iterative application of the BLUE method. Nucl. Inst. Methods A764, 82–93 (2014) and corr. ibid. A773, 87–96 (2015)
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2017 Springer International Publishing AG
About this chapter
Cite this chapter
Lista, L. (2017). Combining Measurements. In: Statistical Methods for Data Analysis in Particle Physics. Lecture Notes in Physics, vol 941. Springer, Cham. https://doi.org/10.1007/978-3-319-62840-0_6
Download citation
DOI: https://doi.org/10.1007/978-3-319-62840-0_6
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-62839-4
Online ISBN: 978-3-319-62840-0
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)