15 Statistical Issues in Particle Physics
691
75. ATLAS Collaboration, CMS Collaboration and LHC Higgs Combination Group, “Procedure
for the LHC Higgs boson search combination in Summer 2011”, http://cds.cern.ch/record/
1379837/files/NOTE2011_005.pdf
76. G. Cowan, K. Cranmer, E. Gross and O. Vitells, “Asymptotic formulae for likelihood-based
tests of new physics”, Eur. Phys. J. C71 (2011) 1554.
77. “Statistical Inference in the 21st Century: A World Beyond p < 0.05”, American Statistician
73 (2019)
78. L. Lyons, “Comparing two hypotheses” (1999),
http://www-cdf.fnal.gov/physics/statistics/statistics_recommendations.html.
79. L. Lyons, “Methods for comparing two hypotheses”,
http://www.physics.ox.ac.uk/users/lyons/R_H_2009.pdf.
80. R. Trotta, Contemporary Physics 49 (2008) 71.
81. J. Heinrich, “A Bayes factor example: Poisson discovery”, CDF note 9678 (2009), http://
newton.hep.upenn.edu/~heinrich/bfexample.pdf.
82. S. S. Wilks, “The large-sample distribution of the likelihood ratio for testing composite
hypotheses”, Annals of Math. Stat. 9 (1938) 60.
83. R. Protassov et al., “Statistics: Handle with care. Detecting multiple model components with
the likelihood ratio test”, Astrophysics Journal 571 (2002) 545.
84. L. Demortier, “p-values and nuisance parameters”, ref [7], p. 23.
85. L. Demortier, “Setting the scene for p-values” (2006),
http://birs.pims.math.ca/~06w5054/Luc_Demortier.pdf.
86. S. G. Self and K. Y. Liang, JASA 82 (1987) 605.
87. M. Drton, “Likelihood ratio tests and singularities”, Annals of Statistics 37 No. 2 (2009) 979,
http://arxiv.org/abs/math/0703360.
88. K. Cranmer, “Statistics for LHC: progress, challenges and future”, ref. [7], p. 47.
89. R. Cousins, J. Linnemann and J. Tucker, Nuclear Instr. Meth. A 595 (2008) 480.
90. E. Gross and O. Vitels, “Trial factors for the look elsewhere effect in high energy physics”, E
Phys J C 70 (2010) 525.
91. L. Lyons, “Discovering the Significance of 5σ ” (2013), https://arxiv.org/abs/1310.1284
92. CDF Statistics Committee, “Frequently asked questions”,
http://www-cdf.fnal.gov/physics/statistics/statistics_faq.html#iptn4.
93. R. Cousins, “Annotated bibliography on some papers on combining significances or pvalues”, arXiv:0705.2209 (2007)
94. G. S. LaRue, J. D. Phillips and W. M. Fairbank, Phys. Rev. Lett. 46 (1981) 967.
95. J. R. Klein and A. Roodman, Annual Review of Nuclear and Particle Physics 55 (2005) 141.
96. I. Antcheva et al., “ROOT: A C++ framework for petabyte data storage, statistical analysis and
visualization”, Computer Physics Communications, Anniversary Issue; 180 Issue 12 (2009)
2499:
W. Verkerke and D. Kirkby, “The RooFit toolkit for data modeling” (2003),
arXiv:physics/0306116;
L. Moneta et al., “The RooStats Project”, 13 th Int. Workshop on Advanced Computing and
Analysis Techniques in Physics Research (ACAT2010), arXiv:1009.1003.PoSACAT:057
97. V. Blobel, “Unfolding” in ‘Data Analysis in High Energy Physics: A Practical Guide to
Statistical Methods’ page 187 in [13].
98. M. Kuusela, “Uncertainty quantification in unfolding elementary particle spectra at the Large
Hadron Collider”, (2016) PhD thesis at EPFL Lausanne, https://infoscience.epfl.ch/record/
220015/files/EPFL_TH7118.pdf
691
75. ATLAS Collaboration, CMS Collaboration and LHC Higgs Combination Group, “Procedure
for the LHC Higgs boson search combination in Summer 2011”, http://cds.cern.ch/record/
1379837/files/NOTE2011_005.pdf
76. G. Cowan, K. Cranmer, E. Gross and O. Vitells, “Asymptotic formulae for likelihood-based
tests of new physics”, Eur. Phys. J. C71 (2011) 1554.
77. “Statistical Inference in the 21st Century: A World Beyond p < 0.05”, American Statistician
73 (2019)
78. L. Lyons, “Comparing two hypotheses” (1999),
http://www-cdf.fnal.gov/physics/statistics/statistics_recommendations.html.
79. L. Lyons, “Methods for comparing two hypotheses”,
http://www.physics.ox.ac.uk/users/lyons/R_H_2009.pdf.
80. R. Trotta, Contemporary Physics 49 (2008) 71.
81. J. Heinrich, “A Bayes factor example: Poisson discovery”, CDF note 9678 (2009), http://
newton.hep.upenn.edu/~heinrich/bfexample.pdf.
82. S. S. Wilks, “The large-sample distribution of the likelihood ratio for testing composite
hypotheses”, Annals of Math. Stat. 9 (1938) 60.
83. R. Protassov et al., “Statistics: Handle with care. Detecting multiple model components with
the likelihood ratio test”, Astrophysics Journal 571 (2002) 545.
84. L. Demortier, “p-values and nuisance parameters”, ref [7], p. 23.
85. L. Demortier, “Setting the scene for p-values” (2006),
http://birs.pims.math.ca/~06w5054/Luc_Demortier.pdf.
86. S. G. Self and K. Y. Liang, JASA 82 (1987) 605.
87. M. Drton, “Likelihood ratio tests and singularities”, Annals of Statistics 37 No. 2 (2009) 979,
http://arxiv.org/abs/math/0703360.
88. K. Cranmer, “Statistics for LHC: progress, challenges and future”, ref. [7], p. 47.
89. R. Cousins, J. Linnemann and J. Tucker, Nuclear Instr. Meth. A 595 (2008) 480.
90. E. Gross and O. Vitels, “Trial factors for the look elsewhere effect in high energy physics”, E
Phys J C 70 (2010) 525.
91. L. Lyons, “Discovering the Significance of 5σ ” (2013), https://arxiv.org/abs/1310.1284
92. CDF Statistics Committee, “Frequently asked questions”,
http://www-cdf.fnal.gov/physics/statistics/statistics_faq.html#iptn4.
93. R. Cousins, “Annotated bibliography on some papers on combining significances or pvalues”, arXiv:0705.2209 (2007)
94. G. S. LaRue, J. D. Phillips and W. M. Fairbank, Phys. Rev. Lett. 46 (1981) 967.
95. J. R. Klein and A. Roodman, Annual Review of Nuclear and Particle Physics 55 (2005) 141.
96. I. Antcheva et al., “ROOT: A C++ framework for petabyte data storage, statistical analysis and
visualization”, Computer Physics Communications, Anniversary Issue; 180 Issue 12 (2009)
2499:
W. Verkerke and D. Kirkby, “The RooFit toolkit for data modeling” (2003),
arXiv:physics/0306116;
L. Moneta et al., “The RooStats Project”, 13 th Int. Workshop on Advanced Computing and
Analysis Techniques in Physics Research (ACAT2010), arXiv:1009.1003.PoSACAT:057
97. V. Blobel, “Unfolding” in ‘Data Analysis in High Energy Physics: A Practical Guide to
Statistical Methods’ page 187 in [13].
98. M. Kuusela, “Uncertainty quantification in unfolding elementary particle spectra at the Large
Hadron Collider”, (2016) PhD thesis at EPFL Lausanne, https://infoscience.epfl.ch/record/
220015/files/EPFL_TH7118.pdf