Course detail
Statistical Methods in Engineering
FSI-PST Acad. year: 2023/2024 Summer semester
Technicians sometimes use statistics to describe the results of an experiment. This process is referred to as data analysis or descriptive statistics. Technicians also use statistics another way. If the entire population of interest is not accessible to them, they often observe only a portion of the population (a sample) and use statistics to answer questions about the whole population. This process called inferential statistics is the main focus of the course.
Language of instruction
Czech
Number of ECTS credits
4
Supervisor
Department
Entry knowledge
basic mathematics
Rules for evaluation and completion of the course
Course-unit credit omly
Make ones own work
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.
Data analysis, descriptive statistics, sample, population, testing hypothesis
The study programmes with the given course
Programme B-VTE-P: Production Technology, Bachelor's, elective
Programme B-MAI-P: Mathematical Engineering, Bachelor's, elective
Type of course unit
Lecture
26 hours, optionally
Syllabus
1. Collection of data.
2. Variance.
3. Pareto analysis.
4. Probability density and probability distribution.
5. Normal distribution.
6. Distribution of averages
7. Estimation of parameters.
8. Hypothesis testing.
9. Analysis of variances. One way testing,
10. Two way testing.
11. Tukey's method. Scheffe method.
12. Linear model.
13. Coefficient of correlation. Partial coefficient of correlation.
14. Statistics modelling. Monte Carlo method.
Computer-assisted exercise
13 hours, optionally
Syllabus
1. Collection of data.
2. Variance.
3. Pareto analysis.
4. Probability density and probability distribution.
5. Normal distribution.
6. Distribution of averages
7. Estimation of parameters.
8. Hypothesis testing.
9. Analysis of variances. One way testing,
10. Two way testing.
11. Tukey's method. Scheffe method.
12. Linear model.
13. Coefficient of correlation. Partial coefficient of correlation.
14. Statistics modelling. Monte Carlo method.