Course detail

Applied Statistic Methodology

FP-masPAcad. year: 2026/2027

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, multivariate statistical methods.

Language of instruction

Czech

Number of ECTS credits

5

Assignment to study programme types

Master's

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. 50 points):
- written test

The exam (max. 50 points)
- written test 

The grade, which corresponds to the total sum of points achieved (max 100 points), consists of:
- written test (max. 50 points),
- written exam (max. 50 points)

Minimum score requirements for successfully passing the test will be established for both tests.

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  checked by the tutor.

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)

Elearning

Classification of course in study plans

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

Type of course unit

 

Lecture

13 hours, 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:

Parametric tests

Non-parametric tests

Goodness-of-fit tests

ANOVA

Regression analysis

Time series analysis

Contingency tables

Categorical data analysis

Statistical process control

Control charts for variables (measurement)

Control charts for attributes (counting/comparison)

Capability indices

Dependent demand inventory model

Independent demand inventory model

Exercise

26 hours, compulsory

Teacher / Lecturer

Syllabus

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


Self-study

55 hours, optionally

Teacher / Lecturer

Individual preparation for an ending of the course

36 hours, optionally

Teacher / Lecturer

Elearning