t.BA.XX.GSTAT.20HS (Basics of Statistics)
Module: Basics of Statistics
This information was generated on: 24 July 2024
No.
t.BA.XX.GSTAT.20HS
Title
Basics of Statistics
Organised by
T IDP
Credits
4

### Description

Version: 1.0 start 01 August 2021

#### Short description

Basics of statistics introduces students to the fundamentals of statistical inference, i.e. techniques that allow to draw inferences about a population from a sample. Special emphasis is put on computational methods that allow for the theoretical concepts to be applied in practice.

#### Learning objectives (competencies)

 Objectives Competences Taxonomy levels Students know and understand the fundamental concepts of applied statistical inference. F, M K1, K2 Students know different approaches to point and interval estimation and can apply these to a sample to make inferences about unknown population parameters and assess statistical accuracy of the estimates. F, M K2, K3 Students know and understand fundamental concepts of statistical hypothesis tests and are able to apply suitable tests to practical problems. F, M K2, K3

#### Module contents

Students learn to distinguish between theoretical models and their parameters on the hand, and empirical data (samples) and quantities calculated from these on the other. Fundamental concepts and techniques for point and interval estimation and hypothesis testing are introduced. In addition to classical (analytical) solutions, the module emphasises modern computational techniques (numerical techniques, resampling) that allow for the methods to be widely applied in more complicated practical situations.

Sampling and estimation:
• sampling distributions
• statistics and estimators
• properties of estimators
• different approaches to point estimation
• confidence intervals and their properties
Statistical hypothesis tests:
• Basic principles of hypothesis tests (null and alternative hypotheses, errors of the first and second kind, level and power of a test)
• Special parametric and non-parametric tests for one- and two-sample problems
Students learn to apply the concepts and techniques in practical exercises using the R environment for statistical computing.

#### Teaching materials

Lecture notes, slides presented in class, exercises

#### Supplementary literature

Chihara, L.M., Hesterberg, T.C. (2019). Mathematical Statistics with Resampling and R, 2nd edition, Wiley, Hoboken.

Rice, J.A. (2007). Mathematical Statistics and Data Analysis, 3rd edition, Brooks/Cole.

#### Teaching language

(X) German ( ) English

( ) Yes (X) No

Type 2a

#### Exams

 Description Type Form Scope Grade Weighting Graded assignments during teaching semester Online Quizzes written 2 Quizzes Grading 5-10% End-of-semester exam exam written 90 min. Grading 90%

#### Legal basis

The module description is part of the legal basis in addition to the general academic regulations. It is binding. During the first week of the semester a written and communicated supplement can specify the module description in more detail.

### Note

Course: Modeling and Simulation of Transport Systems - Vorlesung
No.
t.BA.XX.GSTAT.20HS.V
Title
Modeling and Simulation of Transport Systems - Vorlesung

### Note

• No module description is available in the system for the cut-off date of 02 August 2099.