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Modulbeschreibung - Statistics
(Statistik)

Nummer
stat
ECTS 3.0
Level basic
Overview The module Statistics introduces concepts that shall facilitate the analysis of data sets produced, for instance, in the course of measurement procedures. The part “Theory of Probabilities“ deals with the most relevant probability distributions, with the aim of providing predictions about random processes. Various estimator functions are used to test assumptions about a population
on the basis of sample data.

  • Descriptive statistics
  • Elementary probability calculus
  • Conditional probability
  • Discrete and continuous distribution functions
  • Parameter estimation
  • Hypotheses testing
  • Regression und Correlation analysis

Learning objectives
  • The students are capable of analysing and visualising data sets by means of relevant statistical parameters.

  • The students are familiar with the axiomatic structure of probability calculus and are able to calculate probabilities of statistical events by applying counting techniques and relative frequencies.

  • The students are familiar with the concept of random variables and are capable of applying this knowledge to modelling. They know the definition of the terms expected value and variance as well as how to calculate and interpret concrete figures. The students are familiar with the most relevant distributions and know which particular processes can be modeled based on those.

  • The students are capable of deriving conclusions about a population on the basis of statistical samples. They know how to calculate parameter estimations and confidence intervals as well as how to judge particular significance levels.

  • The students are able to formulate hypotheses about populations and know how they can be assessed on the basis of statistical sample data. The students know and are able to apply the most relevant statistical testing procedures.

  • The students are capable of investigating and describing the interdependence among two variables using regression analysis.

  • The students are capable of implementing the statistical methods with a pertinent tool (e.g. Excel).

Exam format Final written exam
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