Course Unit Code | 151-0303/01 |
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Number of ECTS Credits Allocated | 5 ECTS credits |
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Type of Course Unit * | Compulsory |
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Level of Course Unit * | First Cycle |
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Year of Study * | First Year |
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Semester when the Course Unit is delivered | Summer Semester |
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Mode of Delivery | Face-to-face |
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Language of Instruction | Czech |
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Prerequisites and Co-Requisites | |
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| Prerequisities | Course Unit Code | Course Unit Title |
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| 151-0300 | Mathematics A |
Name of Lecturer(s) | Personal ID | Name |
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| POM68 | RNDr. Marek Pomp, Ph.D. |
| HAN0001 | Mgr. Vít Hanák |
Summary |
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1. An algebra of events.
Events, outcomes, the complement of an outcome. Operations over events.
2. Introduction to probability.
The addition law. Mutually exclusive events, conditional probability, independent events, the multiplication law. Bayes´ theorem.
3. Discrete random variables. Summary of discrete probability distributions.
4. Continuous random variables. Summary of continuous probability distributions.
5. Special cases of continuous distributions. Limit theorems.
6. Data, measurment. Summarizing data, graphs.
7. Numerical descriptive statistics. Measures of location.
8. Measures of dispersion.
9. Characteristics of shape of data sets.
10. Bivariate data, correlation coefficient.
11. Simple linear regression.
12. Populations, samples, statistical inference - preview.
13. Estimations. Point estimators, interval estimation of population characteristics.
14. Hypothesis testing - principles. |
Learning Outcomes of the Course Unit |
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The aim is
-to learn students how to present a set of data by tables, graphs and descriptive measures,
- to make them acquainted with some parts of probability theory, especially with the term random variable, that is one of tools for description of uncertainity of real economical situations,
- to make them able to use basic types of probability distributions for solution of practical cases,
- to make them know the principles of some methods of statistical inference and use them for estimating and testing population parameters,
- to give the view of regression and correlation analysis. |
Course Contents |
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1. An algebra of events.
Events, outcomes, the complement of an outcome. Operations over events.
2. Introduction to probability.
The addition law. Mutually exclusive events, conditional probability, independent events, the multiplication law. Bayes´ theorem.
3. Discrete random variables. Summary of discrete probability distributions.
4. Continuous random variables. Summary of continuous probability distributions.
5. Special cases of continuous distributions. Limit theorems.
6. Data, measurment. Summarizing data, graphs.
7. Numerical descriptive statistics. Measures of location.
8. Measures of dispersion.
9. Characteristics of shape of data sets.
10. Bivariate data, correlation coefficient.
11. Simple linear regression.
12. Populations, samples, statistical inference - preview.
13. Estimations. Point estimators, interval estimation of population characteristics.
14. Hypothesis testing - principles. |
Recommended or Required Reading |
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Required Reading: |
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Teaching material of respective teachers. |
MAREK, Luboš. Statistika v příkladech. 2. vyd. Praha: Kamil Mařík - Professional Publishing, 2015. ISBN 978-80-7431-153-6.
NEUBAUER, Jiří, Marek SEDLAČÍK a Oldřich KŘÍŽ. Základy statistiky: aplikace v technických a ekonomických oborech. 3. rozš. vyd. Praha: Grada Publishing, 2021. ISBN 978-80-271-3421-2.
ŠALOUNOVÁ, Dana: Úvod do pravděpodobnosti a statistiky. Ostrava: VŠB-TUO, 2013. ISBN 978-80-248-3067-4.
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Recommended Reading: |
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ANDERSON, David Ray, Dennis J. SWEENEY a Thomas Arthur WILLIAMS. Modern business statistics with Microsoft Office Excel. 5th ed. Stamford: Cengage Learning, c2015. ISBN 978-1-305-08218-2.
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ANDERSON, David Ray, Dennis J. SWEENEY a Thomas Arthur WILLIAMS. Modern business statistics with Microsoft Office Excel. 5th ed. Stamford: Cengage Learning, c2015. ISBN 978-1-305-08218-2.
BUDÍKOVÁ, Marie, Maria KRÁLOVÁ a Bohumil MAROŠ. Průvodce základními statistickými metodami. Praha: Grada, 2010. ISBN 978-80-247-7511-1.
HENDL, Jan. Přehled statistických metod: analýza a metaanalýza dat. 5. rozš. vyd. Praha: Portál, 2015. ISBN 978-80-262-0981-2.
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Planned learning activities and teaching methods |
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Lectures, Individual consultations, Tutorials, Other activities |
Assesment methods and criteria |
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Task Title | Task Type | Maximum Number of Points (Act. for Subtasks) | Minimum Number of Points for Task Passing |
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Credit and Examination | Credit and Examination | 100 (100) | 51 |
Credit | Credit | 44 (44) | 22 |
Zápočtová písemka | Written test | 30 | 15 |
Zpracování datového souboru | Other task type | 14 | 5 |
Examination | Examination | 56 (56) | 24 |
Písemná zkouška | Written examination | 48 | 24 |
Ústní zkouška | Oral examination | 8 | 0 |