Course detail
Applied Statistics and Design of Experiments
FSI-XAP Acad. year: 2025/2026 Winter semester
Students sometimes use statistics to describe the results of an experiment or an investigation. This process is referred to as data analysis or descriptive statistics. Technicians also use another way; if the entire population of interest is not accessible to them for some reason, they often observe only a portion of the population (a sample) and use statistics to answer questions about the whole population. This process is called inferential statistics. Statistical inference is the main focus of the course.
Language of instruction
Czech
Number of ECTS credits
3
Supervisor
Department
Entry knowledge
The knowledge of probability theory and basic statistics is assumed.
Rules for evaluation and completion of the course
Exam has a written and an oral part.
Missed lessons may be compensated for via a written test.
Aims
We want to show the importance of statistics in engineering and we have taken two specific measures to accomplish this goal. First, to explain that statistics is an integral part of engineer's work. Second, we try to present a practical example of each topic as soon as possible.
Populations, samples, binomial and Poisson distributions, distribution of averages, distribution of a continuous probability, confidence intervals, testing of hypotheses, regression analysis, design of experiments.
The study programmes with the given course
Programme N-KSB-P: Quality, Reliability and Safety, Master's, compulsory
Type of course unit
Lecture
26 hours, optionally
Syllabus
1. Collection of observations, Common and special causes of variation.
2. Normal distribution in engineering subjects, Distributions of averages.
3. Basic assumptions for different types of control charts.
4. Confidence intervals.
5. Hypothesis testing I.
6. Hypothesis testing II.
7. Correlation.
8. Linear regression model.
9. Introduction to the Design of Experiment
10. Factorial experiment, orthogonal designs.
11. Full and fractioanal design.
12. Response surfaces
13. Process optimization with design experiment
Computer-assisted exercise
13 hours, compulsory
Syllabus
1. Introduction to Minitab statistical software
2. Normal distribution in engineering subjects, Distributions of averages.
3. Basic assumptions for different types of control charts.
4. Confidence intervals.
5. Hypothesis testing I.
6. Hypothesis testing II.
7. Correlation.
8. Linear regression model.
9. Introduction to the Design of Experiment
10. Factorial experiment, orthogonal designs.
11. Full and fractioanal design.
12. Response surfaces
13. Process optimization with design experiment