Course detail
Analysis of Engineering Experiment
FSI-TAI Acad. year: 2025/2026 Summer semester
The course is aimed at the selected parts of mathematical statistics for stochastic modeling of the engineering experiments: regression models, regression diagnostics, multivariate methodsand design iof experiment. Computations are carried out using the software Minitab.
Language of instruction
Czech
Number of ECTS credits
5
Supervisor
Department
Entry knowledge
Descriptive statistics, probability, random variable, random vector, random sample, parameters estimation, hypotheses testing, and regression analysis.
Rules for evaluation and completion of the course
Course-unit credit requirements: active participation in seminars.
Exam: Presenting a assigned project.
Attendance at seminars is controlled and the teacher decides on the compensation for absences.
Aims
The course objective is to make students majoring in Mathematical Engineering and Physical Engineering acquainted with important selected methods of mathematical statistics used for a technical problems solution.
Students acquire needed knowledge from the mathematical statistics, which will enable them to evaluate and develop stochastic and interval models of technical phenomena and processes based on these methods and realize them on PC.
The study programmes with the given course
Programme N-FIN-P: Physical Engineering and Nanotechnology, Master's, compulsory
Programme N-MAI-P: Mathematical Engineering, Master's, compulsory
Programme N-PMO-P: Precise Mechanics and Optics, Master's, compulsory-optional
Type of course unit
Lecture
26 hours, compulsory
Syllabus
- Principal components
- Factor analysis.
- Cluster analysis.
- ANOVA.
- Linear regression.
- Identification of regression model, regularized regression.
- Factorial design of experiment.
- Central point, blocks, replications and randomization in DoE.
- Fractional factorial DoE.
- Response surface DoE.
- Mixture DoE.
- Logistic regression.
- Nonparametric hypotheses testing.
Computer-assisted exercise
13 hours, compulsory
Syllabus
- Principal components
- Factor analysis.
- Cluster analysis.
- ANOVA.
- Linear regression.
- Identification of regression model, regularized regression.
- Factorial design of experiment.
- Central point, blocks, replications and randomization in DoE.
- Fractional factorial DoE.
- Response surface DoE.
- Mixture DoE.
- Logistic regression.
- Nonparametric hypotheses testing.