Statistical Data Analysis 1

Course guarantor:

Miroslav Myška

Lecturer:

Miroslav Myška

Tutor:

Miroslav Myška

Supervisor:

Department of Physics

Synopsis:

The course is primarily focused on practical application of methods of experimental data analysis. Students obtain knowledge of different statistical methods and their usage, fitting methods, and testing of hypothesis. The course quickly recapitulates basis of mathematical probability theory but it is recommended to attend a full course of the mathematical probability.

Requirements:

- Attendance at exercises is not mandatory, but students must demonstrate that they have completed the assignments according to the notes on Teams.

Requirements for credit:

- Students will complete several homework assignments in the form of a program.

Exam requirements:

- Oral exam testing familiarity with the material covered and a recap of the algorithms from the submitted programs.

The dates of the exams are listed in KOS after prior agreement by email.

Syllabus of lectures:

1. Basic concepts of mathematical and Bayesian statistics.

2. Probability distributions for experimental data.

3. Law of error propagation.

4. Transformation of variables.

5. Law of large numbers, central limit theorem.

5. Estimation of unknown parameters maximum likelihood and least squares methods.

7. Basics of data analysis in ROOT program and its packages RooFit, PyRoot, Minuit.

Syllabus of tutorials:

Study Objective:

Study materials:

Key references:

[1] L. Lista, Statistical Methods for Data Analysis in Particle Physics, Springer, 2017.

[2] G. Cowan, Statistical Data Analysis, Clarendon Press, Oxford, 1998.

Recommended references:

[3] D. S. Sivia, Data Analysis A Bayesian Tutorial, Claredon Press, Oxford, 1998

[4] C. Maña, Probability and Statistics for Particle Physics, Springer, 2017.

Equipment:

Computer classroom, software ROOT

Note:

Time-table for winter semester 2025/2026:

Time-table is not available yet

Time-table for summer semester 2025/2026:

Time-table is not available yet

The course is a part of the following study plans:

• Jaderná a částicová fyzika (compulsory course in the program)
• Kvantové technologie (elective course)
• Nuclear and Particle Physics (compulsory course in the program)
• Nuclear and Particle Physics (compulsory course in the program)