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Hands on fitting and statistical tools for data analysis

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10-Hands on fitting and statistical tools for data analysis

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Academic year 2021/2022

Teacher
Giacomo Ortona
Degree course
PhD in Physics
Teaching period
First semester
Type
Elective
Credits/Recognition
4
Course disciplinary sector (SSD)
FIS/01 - experimental physics
FIS/02 - theoretical physics, mathematical models and methods
FIS/03 - physics of matter
FIS/04 - nuclear and subnuclear physics
FIS/05 - astronomy and astrophysics
FIS/06 - physics of the Earth and of the circumterrestrial medium
FIS/07 - applied physics (a beni culturali, ambientali, biologia e medicina)
Delivery
Formal authority
Language
English
Attendance
Obligatory
Type of examination
Practice test
Prerequisites
Make sure before the classes to have an account on the local machines, or bring your laptop with a ROOT/RooFit installation
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Sommario del corso

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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

Suggested readings and bibliography

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Notes

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

Enroll
  • Closed
    Enrollment opening date
    31/01/2022 at 00:00
    Enrollment closing date
    31/05/2022 at 00:00
    Maximum number of students
    30 (Once this number of students is reached, enrollment will no longer be permitted!)
    Oggetto:
    Last update: 18/03/2022 16:07
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