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Hands on fitting and statistical tools for data analysis
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Hands on fitting and statistical tools for data analysis
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Academic year 2023/2024
- 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
- Traditional
- 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 approachProgram of the lectures:
1)
Introduction
Statistical objects in RooFit
Workspaces2)
RooMCStudies3)
RooStats
Reminders of statistical concepts
Examples of likelihood functions
PDF slicing
Build a statistical model
Significance4)
CLs
Upper limits
Significance
p-value5)
Confidence intervals
Profile likelihood6)
Systematics7)
Feldman-Cousins
Coverage8)
Final exerciseSuggested readings and bibliography
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Notes
Students wishing to take this course must register with the teacher via email
2023-2024 schedule:
7, 11, 14, 18, 21 e 25 marzo
4 e 8 aprile
Aula Wataghin 10-12am- Enroll
- Open
- Enrollment opening date
- 02/11/2022 at 00:00
- Enrollment closing date
- 15/09/2024 at 00:00
- Maximum number of students
- 30 (Once this number of students is reached, enrollment will no longer be permitted!)
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