Module MA4970-KP05
Design of Experiments and Analysis of Variance (VerVarKP05)
Duration
1 Semester
Turnus of offer
irregularly
Credit points
5
Course of studies, specific fields and terms:
- Master CLS 2023, optional subject, mathematics
- Bachelor CLS 2023, optional subject, mathematics
- Master CLS 2016, optional subject, mathematics
- Bachelor CLS 2016, optional subject, mathematics
Classes and lectures:
- Design of Experiments and Variance Analysis (exercise, 1 SWS)
- Design of Experiments and Variance Analysis (lecture, 2 SWS)
Workload:
- 85 hours private studies
- 20 hours exam preparation
- 45 hours in-classroom work
Contents of teaching:
- Regression modeling and analysis of variance
- Generalized inverse
- Singular linear models
- Factorial designs
- The Latin square and the Graeco-Latin square designs
- Experiments with block factors
- Fixed and random effects
- The split-plot design
Qualification-goals/Competencies:
- Students know the differences between planned experiments and observational studies.
- Students can enumerate the advantages of the statistical multi-factorial design.
- Students can interpret correctly the analysis of variance results of experimental designs.
- Students can select and implement an appropriate experimental design and conduct corresponding variance analysis.
- Students can formulate the analysis of variance as a regression model in matrix notation.
- Students understand the statistical properties of linear regression model with a singular design matrix and a singular hypothesis matrix.
- Students can estimate linear regression model with a singular design matrix and a singular hypothesis matrix.
- Students can create and interpret graphs for summarizing results and model diagnostics.
- Acquisition of knowledge in English technical language.
Grading through:
- Viva Voce or test
Responsible for this module:
Teacher:
- Institute of Medical Biometry and Statistics
- Dr. Maren Vens
- Louis Macias, Ph.D.
Literature:
- Kursbuch: Montgomery, Douglas C. 2012 : Design and Analysis of Experiments. 10th ed. John Wiley & Sons, New York. ISBN 978-1-119-49244-3
- Supplementary literature: Mason, Robert L., Gunst, Richard F., Hess, James L. 2003 : Statistical Design and Analysis of Experiments. 2nd ed. John Wiley & Sons, New York. ISBN 0-471-37216-1
Language:
- German or English
Notes:
Admission requirements for taking the module:- MA1600-KP04: Biostatistics 1 and
- MA2600-KP07: Biostatistics 2 successfully completed
Admission requirements for participation in module examination(s):
- Successful completion of exercises as specified at the beginning of the semester
Module exam(s):
- MA4970-L1: Experimental design and analysis of variance, written exam (90 min) or oral exam (30 min), 100% of module grade
(share of Institute of Medical Biometry and Statistics in V is 100%)
(share of Institute of Medical Biometry and Statistics in Ü is 100%)
Last Updated:
21.03.2025