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Statistical and systematical errors in analyses of separate experimental data sets in high energy physics
High Energy Physics - Experiment · Submitted 14 Apr 2018
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim The results allow to choose an optimal approach for obtaining the fit based model parameters.
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The abstract, sentence by sentence
Different ways of extracting parameters of interest from combined data sets of separate experiments are investigated accounting for the systematic errors. It is shown, that the frequentist approach may yield larger $\chi^2$ values when compared to the Bayesian approach, where the systematic errors have a Gaussian distributed prior calculated in quadrature. The former leads to a better estimation of the parameters. A maximum-likelihood method, applied to different "gedanken" and real LHC data, is presented. The results allow to choose an optimal approach for obtaining the fit based model parameters.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | Different ways of extracting parameters of interest from combined data sets of separate experiments are investigated accounting for the systematic errors. | contribution 0.93 | 0.77 | 0.07 | asserted 0.82 |
| s1 | It is shown, that the frequentist approach may yield larger $\chi^2$ values when compared to the Bayesian approach, where the systematic errors have a Gaussian distributed prior calculated in quadrature. | result 1.00 | 0.81 | 0.25 | hedged possibility 0.80 |
| s2 | The former leads to a better estimation of the parameters. | result 0.68 | 0.71 | 0.40 | asserted 0.99 |
| s3 | A maximum-likelihood method, applied to different "gedanken" and real LHC data, is presented. | method 0.78 | 0.88 | 0.05 | asserted 1.00 |
| s4 | The results allow to choose an optimal approach for obtaining the fit based model parameters. | interpretation 0.88 | 0.73 | 0.43 | asserted 0.90 |
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The paper
Original abstract
Different ways of extracting parameters of interest from combined data sets of separate experiments are investigated accounting for the systematic errors. It is shown, that the frequentist approach may yield larger $\chi^2$ values when compared to the Bayesian approach, where the systematic errors have a Gaussian distributed prior calculated in quadrature. The former leads to a better estimation of the parameters. A maximum-likelihood method, applied to different "gedanken" and real LHC data, is presented. The results allow to choose an optimal approach for obtaining the fit based model parameters.
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References
How the literature uses it
3 arXiv papers cite this in 4 sentences
Papers citing it · 3 sentences without a confident label
Cites it as background 1 paper
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Despite the limitation of treating statistical and systematical uncertainties at the same foot, we apply the $χ^2/ζ$ tests to our dataset with uncertainties summed in quadrature[For very recent applications of the frequentist and Bayesian approaches to high-energy elastic scattering data analysis see Refs. [ref] ].
Forward elastic scattering: Dynamical gluon mass and semihard interactions · Fit Procedures · 0.82
What it cites · 13 sentences without a confident label
Contests 1 paper
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The authors in Reference [ref] end up to be mistaken in their approach to parameter fitting.
Production cross sections of cosmic antiprotons in the light of new data from the NA61 and LHCb experiments · Notes concerning additional normalization of data · contest 0.95
Uses data or values from 1 paper
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From the separate analysis of each data set, the TOTEM Collaboration finds for the $pp$ total cross section: $σ_tot = 98.0 - 99.1 ±3$ mbar at $7$ TeV and $σ_tot = 101.7 ±2.9$ mbar at $8$ TeV [ref] .
Measurement of Elastic pp Scattering at $\sqrt{s}$ = 8 TeV in the Coulomb-Nuclear Interference Region - Determination of the $\rho$-Parameter and the Total Cross-Section · Elastic cross sections at the LHC · 0.99
Cites as background 4 papers
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Besides the standard use of systematic errors, either as the squares of statistical and systematic errors summed together, or by using additional normalization coefficients, other approaches have been recently introduced in error analysis [ref] .
Analytical approaches to the determination of spin-dependent parton distribution functions at NNLO approximation · Notes concerning additional normalization of data · 0.88
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Besides the standard use of systematic errors, either as the squares of statistical and systematic errors summed together, or by using additional normalization coefficients, other approaches have been recently introduced in error analysis [ref] .
Production cross sections of cosmic antiprotons in the light of new data from the NA61 and LHCb experiments · Notes concerning additional normalization of data · 0.88
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There are number of studies addressing the way to include systematical errors in experimental measurements (see, for example, references [ref] , and references therein).
The use of statistical methods for the search for new physics at the LHC (in Russian) · Introduction · 0.95
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