Phd in Physics

Hands on fitting and statistical tools for data analysis

10-Hands on fitting and statistical tools for data analysis

Academic year 2021/2022

Sommario del corso

• Program
• Suggested textbooks and readings
• Notes
• Teaching tools

Program

The class will have an exercise oriented approach, with quick reminders of the statistical theory and a large fraction of time dedicated to practical examples.

Fitting Tools
      Usage of the RooFit library:
      Signal and background modelling, fitting and plotting
      Treatment of extended Fits, Conditional Probability Density Functions, Toy Monte-Carlo generation

Statistics Tools
     Usage of the RooStats library:
     Hypothesis testing
     Determination of Upper Limits
     Determination of confidence intervals in likelihood ratio and Feldman-Cousins approaches
     Determination of probability intervals in Bayesian approaches
     Bayesian numerical calculators vs Markov-Chains MC approach 

Program of the lectures:

28/02/2022
Introduction
Statistical objects in RooFit
Workspaces

02/03/2022
RooMCStudies

09/03/2022
RooStats
Reminders of statistical concepts
Examples of likelihood functions
PDF slicing
Build a statistical model
Significance

18/03/2022
CLs
Upper limits
Significance
p-value

25/03/2022
Confidence intervals
Profile likelihood

30/03/2022
Systematics

04/04/2022
Feldman-Cousins
Coverage

06/04/2022
Final exercise

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Note

Students wishing to take this course must register with the teacher via email

Period

From 10:00 to 12:00 in the following dates:

28/02/2022 - Aula G
02/03/2022 - Aula G
09/03/2022 - Aula Wataghin
18/03/2022 - Aula Wataghin
24/03/2022 - Aula Wataghin (date change!)
30/03/2022 - Aula G
04/04/2022 - Aula G
06/04/2022 - Aula G

• Teaching materials
• Exams and finals
• Go to Moodle
• Visit the forums