Course detail

Statistical Methods in Engineering

FSI-PSTAcad. year: 2018/2019

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

Mode of study

Not applicable.

Guarantor

Ing. Josef Bednář, Ph.D.

Department

Institute of Mathematics (ÚM)

Learning outcomes of the course unit

Data analysis, descriptive statistics, sample, population, testing hypothesis

Prerequisites

basic mathematics

Co-requisites

Not applicable.

Planned learning activities and teaching methods

The course is taught through lectures explaining the basic principles and theory of the discipline. Exercises are focused on practical topics presented in lectures.

Assesment methods and criteria linked to learning outcomes

Course-unit credit omly

Course curriculum

Not applicable.

Work placements

Not applicable.

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.

Specification of controlled education, way of implementation and compensation for absences

Make ones own work

Recommended optional programme components

Not applicable.

Prerequisites and corequisites

Not applicable.

Basic literature

Bakytová,H.: Základy štatistiky, ALFA, 1975
Egermayer,F.-Boháč,M.:Statistika pro techniky, SNTL,1984
Montgomery, D.C.: Introduction to Statistical Quality Control, John Wiley&Sons, Inc., 2001

Recommended reading

A. Linczenyi: Inžinierska štatistika, , 0
J. Anděl: Statistické metody, , 0

Classification of course in study plans

  • Programme B3A-P Bachelor's

    branch B-MAI , 3 year of study, summer semester, elective (voluntary)

  • Programme B3S-P Bachelor's

    branch B-STI , 3 year of study, summer semester, elective (voluntary)

  • Programme M2I-P Master's

    branch M-SLE , 1 year of study, summer semester, compulsory-optional
    branch M-SLE , 1 year of study, summer semester, compulsory-optional
    branch M-STM , 1 year of study, summer semester, compulsory
    branch M-STM , 1 year of study, summer semester, compulsory
    branch M-STG , 1 year of study, summer semester, elective (voluntary)

Type of course unit

 

Lecture

26 hod., optionally

Teacher / Lecturer

Ing. Josef Bednář, Ph.D.

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 hod., optionally

Teacher / Lecturer

Ing. Josef Bednář, Ph.D.

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.