Methods of data analysis I (PW-MoDA)5 ECTS
(englische Bezeichnung: Methods of data analysis I)
(Prüfungsordnungsmodul: Physics elective courses)

Lectures:

• • Methods of Data Analysis I
    (Vorlesung, Stefan Funk et al., Mon, 10:00 - 12:00, SRTL (307))
  • Exercises to "Methods of Data Analysis I"
    (Übung, 2 SWS, Stefan Funk et al., Thu, 15:00 - 17:00, CIP-Pool in der Physik)

Inhalt:

The lectures provide an overview of the most important methods for the statistical evaluation of measured data. It lays the foundation for bachelor and master theses in experimental physics. In the first part of the lectures we will deal with the basics of statistics and probability theory. The second part of the lectures provides an introduction to measurement error and error calculation, parameter estimates and confidence intervals. For some of the exercises we will use computer (python language), which will be useful for the data analysis in the context of a Bachelor / Master thesis.

The topics will include:

Part I. Probability and statistics

• Introduction to statistics and probability theory

• Special distibutions: Gaussian, Poisson, Multinomial

• Parameter estimators of the distribution (mean, variance, bias etc.)

• Multi-dimensional distributions

• Random sampling
  

Part II. Statistical interpretation of measurements

• Least squared method

• Chi2 fitting

• Maximal likelihood

• Bayesian statistics

• Estimation of confidence intervals

• Binned and unbinned analysis

Lernziele und Kompetenzen:

Learning goals and competences:
Students

• explain the relevant topics of the lecture

• apply the methods to specific examples

Literatur:

W. J. Metzger: "Statistical Methods in Data Analysis"
Roger J. Barlow: "Statistics: A Guide to the Use of Statistical Methods in the Physical Sciences", ISBN-10: 0471922951

Organisatorisches:

Useful prerequisites: Basic knowledge of Python programming.

Verwendbarkeit des Moduls / Einpassung in den Musterstudienplan:

1. Physics (Master of Science)
   (Po-Vers. 2018w | NatFak | Physics (Master of Science) | Master's examination | Physics elective courses)

Studien-/Prüfungsleistungen:

Methods of data analysis I (Prüfungsnummer: 997394)

(englischer Titel: Methods of data analysis I)

Prüfungsleistung, Klausur, Dauer (in Minuten): 90, benotet, 5 ECTS

Anteil an der Berechnung der Modulnote: 100.0 %

Prüfungssprache: Englisch

Erstablegung: SS 2019, 1. Wdh.: SS 2019 (nur für Wiederholer)

1. Prüfer:

Stefan Funk

1. Prüfer:

Dmitry Malyshev