Errors on Errors: Refining Statistical Analyses for Particle Physics
by
Prof.Cowan Glen
→
Asia/Shanghai
Description
In a statistical analysis in Particle Physics, one faces two distinct challenges: the limited number of particle collisions and imperfections in the modelling of the events produced. Roughly speaking these correspond to "statistical" and "systematic" errors in the result. To help combat the systematic uncertainties one can try to improve the statistical model by including additional (nuisance) parameters. The best estimate of such a parameter is often treated as a Gaussian distributed variable with a given standard deviation. The
appropriate values for these standard deviations are, however, often the subject of heated argument, which is to say that the errors themselves have errors. A type of model is presented where the uncertainty in the assigned systematic errors is taken into
account. Estimates of the systematic variances are modeled as gamma distributed variables. The resulting confidence intervals show interesting and useful properties. For example, when averaging measurements to estimate their mean, the size of the confidence interval increases as a for decreasing goodness-of-fit, and averages have reduced sensitivity to outliers. The basic properties of the model are presented and several types of examples relevant for Particle Physics are explored.
About the speaker:
Glen Cowan
1998-present, faculty member in Department of Physics, Royal Holloway,
University of London. 1998-2007, research on BaBar experiment (tau
physics, b -> s gamma); 2001-present, member of Particle Data Group
(reviews on Statistics); 2004-present, research on ATLAS experiment
(development of statistical methods, Higgs physics), 2017-present,
Scientific Coordinator of INSIGHTS ITN.
1988-1998, postdoc on ALEPH Experiment (CERN) with Max Planck
Institute for Physics, Munich and University of Siegen, Germany.
Research on QCD (multijet production, measurements of alpha_s,
properties of hadronic Z decays).
PhD in Physics 1988 from University of California, Berkeley, with
thesis on pi/K/p production in e+e- collisions with the TPC/two-gamma
experiment at PEP.