Practical Statistics for Particle Physicists Basics Concepts
Composite hypothesis, Nuisance Parameters
Dealing with systematic uncertainties
Louis Lyons (Imperial College Sci., Tech. & Med.
(GB))
Practical Statistics for Particle Physicists
Louis Lyons (Imperial College Sci., Tech. & Med.
(GB))
Bonus Lecture: "Learning to Love the Error Matrix"
Eilam Gross (Weizmann Institute of Science (IL))
Practical Statistics (Статистика)
Youngjoon Kwon (Yonsei University)
Practical Statistics for Particle Physicists Basic elements
• some vocabulary
• Probability axioms
• some probability distributions
Two approaches: Frequentist vs. Bayesian
Hypothesis testing
Parameter estimation
Other subjects — "nuisance", "spurious", "look elsewhere"
Statistics
Lecture 1: Preliminaries
• Probability Density Function vs. Likelihood
• Point estimates (measurements) and maximum likelihood
estimators
Part 2: Building a probability model
• Examples of different “narratives”
• A generic template for high energy physics
Lecture 2: Hypothesis testing
• The Neyman-Pearson lemma and the likelihood ratio
• Composite models and the profile likelihood ratio
• Review of ingredients for a hypothesis test
Lecture 3: Limits & Confidence Intervals
• The meaning of confidence intervals as inverted hypothesis
tests
• LHC-style CLs
• Asymptotic properties of likelihood ratios
• Bayesian approach
Glen Cowan (Royal Holloway, University of London)
Statistics
1. Introduction and review of fundamentals
Probability, random variables, pdfs
Parameter estimation, maximum likelihood
Statistical tests for discovery and limits
2. Further topics
Brief overview of multivariate methods
Nuisance parameters and systematic uncertainties
Experimental sensitivity