Course detail

Statistics 2

FP-STA2Acad. year: 2026/2027

Students will acquire basic knowledge of mathematical statistics, categorical and correlation analysis, analysis of variance, regression analysis, and time series analysis. They will also learn how to apply these methods in practice using the statistical program R.

Language of instruction

Czech

Number of ECTS credits

6

Mode of study

Not applicable.

Entry knowledge

Recommended prerequisites for completing the course are basic mathematics (working with functions, basic algebraic operations, basic differential and integral calculus), basics of probability and random variables (concept of random events, probabilities, random variables, basic types of random variable distributions).

Rules for evaluation and completion of the course

The course-unit credit is awarded on the following conditions (max. 40 points):

  • 80% attendance at exercise classes.
  • Completion of two semester assignments (more detailed information on the topics of the assignments and the method of submission will be specified at the beginning of the semester).

The exam (max. 60 points)

  • The exam is written, lasts 120 minutes, and consists of four examples and one theoretical question.
  • During the exam, students may use their own notes and materials posted on the e-learning website.

The mark, which corresponds to the total sum of points achieved (max 100 points), consists of:

  • points achieved in semestral assignments,
  • points achieved by solving examples,
  • points achieved by quality of answer to the theoretical question.

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

COMPLETION OF THE COURSE FOR STUDENTS WITH INDIVIDUAL STUDY

The course-unit credit is awarded on the following conditions (max. 40 points):

  • Completion of two semester assignments (more detailed information on the topics of the assignments and the method of submission will be specified at the beginning of the semester).

The exam (max. 60 points)

  • The exam is written, lasts 120 minutes, and consists of four examples and one theoretical question.
  • During the exam, students may use their own notes and materials posted on the e-learning website.

The mark, which corresponds to the total sum of points achieved (max 100 points), consists of:

  • points achieved in semestral assignments,
  • points achieved by solving examples,
  • points achieved by quality of answer to the theoretical question.

The grades 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 seminars is controlled.

Aims

The aim of the course is to familiarize students with the basics of mathematical statistics, analysis of variance, categorical and correlation analysis, regression analysis, and time series analysis so that they are able to apply this knowledge appropriately in managerial, IT, and economic problems. Students will acquire basic knowledge of the statistical methods mentioned above and at the same time learn how to use these methods in practice in the statistical program R. After completing the course, students will be prepared to apply the skills they have acquired in follow-up master's courses and in solving real-world problems.

Study aids

Not applicable.

Prerequisites and corequisites

Not applicable.

Basic literature

BUDÍKOVÁ, M.; KRÁLOVÁ, M. a MAROŠ, B., 2010. Průvodce základními statistickými metodami. 1. vydaání. Praha: Grada. Expert. 272 s. ISBN 978-80-247-3243-5. (CS)
KROPÁČ, J. STATISTIKA B. 3. vyd. Brno: Akademické nakladatelství CERM, 2012. 152 s. ISBN 978-80-7204-822-9. (CS)
Studijní materiály vystavené na e-learningu.

Recommended reading

BUDÍKOVÁ, M., T. LERCH a Š. MIKOLÁŠ. Základní statistické metody. 1. vyd. Brno: Masarykova univerzita v Brně, 2005. ISBN 80-210-3886-1.
FIELD, A., J. MILES and Z. FIELD. Discovering Statistics Using R. 1 edition. Los Angeles, Calif.: SAGE Publications Ltd., 2012. ISBN 978-1-4462-0046-9.
JAMES, G., D. WITTEN, T. HASTIE a R. TIBSHIRANI. An Introduction to Statistical Learning: with Applications in R. New York: Springer New York, 2014. 426 s. ISBN 978-1-4614-7137-0.

Classification of course in study plans

  • Programme BAK-MIn Bachelor's 2 year of study, summer semester, compulsory

Type of course unit

 

Lecture

26 hours, optionally

Teacher / Lecturer

Syllabus

1. Empirical characteristics
2. Empirical distribution function
3. Analysis of large data sets
4. Point and interval estimates
5. Testing statistical hypothesis
6. Correlation analysis
7. Categorical analysis
8. Analysis of variance
9. Linear regression models
10. Nonlinear regression models (linearizable functions)
11. Nonlinear regression models (non-linearizable functions)
12. Time serie analysis
13. Time serie decomposition and identify its trend

Exercise

26 hours, compulsory

Teacher / Lecturer

Syllabus

The topics of exercises correspond to the topics of lectures.

Individual preparation for an ending of the course

42 hours, optionally

Teacher / Lecturer

Self-study

62 hours, optionally

Teacher / Lecturer