
Detailed information 
Original study plan 
Master's programme Mechanical Engineering 2023W 
Objectives 
The students can correctly understand and interpret statistical information. Given some data, they are able to select the appropriate graphical and tabular displays as well as statistical indicators to adequately describe the (joint) distribution of the data. The students understand the principle of statistical hypothesis tests and can apply this principle, among other things, to testing the differences in proportions and mean values of samples from two different populations. Furthermore, the students can apply the method of linear regression to estimate linear causal relationships and are able to assess the quality of the linear fit. The students are aware of the importance of carefully planned experiments, especially in technical applications. They are familiar with some of the major types of experimental designs, such as factorial and fractional factorial designs, and understand their fields of application, advantages, and limitations.

Subject 
 Collecting and presenting data (tables, graphics)
 Measures of location, dispersion, and association/correlation
 Probability distributions (especially normal and survival distributions)
 Confidence intervals and hypothesis tests for proportions and mean values (onesample and twosample tests), chisquared test for association
 Linear regression: modeling, fit and interpretation, checking the model assumptions
 Design of experiments: factorial, fractional factorial, and central composite designs

Criteria for evaluation 
Written exam, number of submitted homework examples

Methods 
Lecture (using slides and the blackboard), discussion of homework examples

Language 
German 
Study material 
 Schiefer, H. & Schiefer, F. (2018): Statistik für Ingenieure. Eine Einführung mit Beispielen aus der Praxis. Springer Vieweg, Wiesbaden
 Ryan, T. P. (2007): Modern Engineering Statistics. Wiley, Hoboken
 Kleppmann, W. (2020): Versuchsplanung. Produkte und Prozesse optimieren. 10. Auflage. Carl Hanser Verlag, München

Changing subject? 
No 
Further information 
The solution of the examples is regularly illustrated by employing Minitab so that students get used to utilizing statistical software for solving common statistical problems.

