Course detail

Applied Statistic Methodology

FP-masPAcad. year: 2025/2026

The course deals with main ideas and methods of mathematical statistics, evaluation and checking the production process with methods of statistical process control and process capability index, determination of the characteristics of acceptance sampling and inventory management, basic concepts and methods of solving matrix games and exploratory analysis.

Basic contents:

Random variable, mathematical statistics, statistical process control, capability index, statistical acceptance sampling, inventory management, matrix games.

Language of instruction

Czech

Number of ECTS credits

5

Mode of study

Not applicable.

Entry knowledge

Basic knowledge of probability theory and mathematical statistics is required.

Rules for evaluation and completion of the course

COURSE COMPLETION

The course-unit credit is awarded on the following conditions (max. 40 points):
- preparation of semester assignments (the topic of the assignments will be specified during the semester).

The exam (max. 60 points)
- has a written form with the possibility of using computer technology and consists of four computational examples and a theoretical question.

The grade, which corresponds to the total sum of points achieved (max 100 points), consists of:
- points achieved in semester assignments (max. 40 points),
- points achieved by solving examples (max. 51 points),
- points achieved by answering theoretical questions (max. 9 points).

The grade and corresponding points:
A (100-90), B (89-80), C (79-70), D (69-60), E (59-50), F (49-0).

Attendance at lectures is not mandatory but is recommended. Attendance at exercises is required and checked by the tutor. An excused absence of a student from seminars can be compensated for by submitting solution of alternate exercises.

Aims

The objective of the course is to learn students to work with the random variables, to work with statistical data sets, to use methods of statistical process control, process capability indexes, acceptance sampling, inventory management and analyze conflicting decision situations.
Students will gain knowledge of mathematical statistics, will be able to evaluate and control the production process with methods of statistical process control and process capability index, to evaluate the characteristics of acceptance sampling and inventory management, to analyze conflicting decision situations.

To develop students' awareness and ability to use statistical tools as a basis for data analysis in the management of individual business activities.

Study aids

see Course literature.
Study materials available on e-learning.

Prerequisites and corequisites

Not applicable.

Basic literature

CSN ISO 8258 Shewhartovy regulační diagramy. Praha: Český normalizační institut, 1994. (CS)
KROPÁČ, J. a DOUBRAVSKÝ, K. Statistika C. 3. roz. vyd. Brno: Akademické nakladatelství CERM, 2020. 150 s. ISBN 978-80-7623-035-4. (CS)

Recommended reading

KROPÁČ, J. Statistika A. 4. vyd. Brno: Fakulta podnikatelská, 2011. ISBN 978-80-214-4226-9. (CS)
KROPÁČ, J. Statistika B. 2. vyd. Brno: Fakulta podnikatelská, 2009. ISBN 978-80-214-3295-6. (CS)
KUPKA, K. Statistické řízení jakosti. Pardubice: TriloByte Statistical Software, 1997. ISBN 80-238-1818-X. (CS)
MONTGOMERY, D.C. Introduction to Statistical Quality Control. 6 ed. John Wiley & Sons, 2005. ISBN 978-0-470-16992-6. (EN)
TOŠENOVSKÝ, J. a NOSKIEVIČOVÁ, D. Statistické metody pro zlepšování jakosti. 1.vyd. Ostrava: Montanex, 2000. ISBN 80-7225-040-X. (CS)

Classification of course in study plans

  • Programme MGR-IM Master's 2 year of study, winter semester, compulsory

Type of course unit

 

Lecture

13 hod., optionally

Teacher / Lecturer

Syllabus

The course deals with main ideas and methods of mathematical statistics, evaluation and checking the production process with methods of statistical process control and process capability index, determination of the characteristics of acceptance sampling and inventory management, basic concepts and methods of solving matrix games.

Basic contents:

1. Random variable.
2. Analysis of data sets.
3. Parametric and non-parametric tests of statistical hypotheses.
4. Control charts for measurement control.
5. Control charts for control by comparison.
6. Process capability indices.
7. Inventory management models (non-random demand).
8. Inventory management models (random demand).
9. Statistical acceptance by comparison.
10. Statistical acceptance by measurement.
11. Matrix games (solutions in pure strategies).
12. Matrix games (solutions in mixed strategies).
13. Exploratory analysis of multivariate data.

 


Random variable,
Mathematical Statistics,
Statistical Process Control,
Capability index,
Statistical Acceptance Sampling,
Inventory Management,
Matrix Games.

Exercise

26 hod., compulsory

Teacher / Lecturer

Syllabus

The topics of exercises correspond to the topics dealt with in the lectures.