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Statistics A

* Exchange students do not have to consider this information when selecting suitable courses for an exchange stay.

Course Unit Code151-0303/01
Number of ECTS Credits Allocated5 ECTS credits
Type of Course Unit *Compulsory
Level of Course Unit *First Cycle
Year of Study *First Year
Semester when the Course Unit is deliveredSummer Semester
Mode of DeliveryFace-to-face
Language of InstructionCzech
Prerequisites and Co-Requisites
PrerequisitiesCourse Unit CodeCourse Unit Title
151-0300Mathematics A
Name of Lecturer(s)Personal IDName
POM68RNDr. Marek Pomp, Ph.D.
HAN0001Mgr. Vít Hanák
Summary
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
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
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
Required Reading:
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.
Recommended Reading:
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.
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.
Planned learning activities and teaching methods
Lectures, Individual consultations, Tutorials, Other activities
Assesment methods and criteria
Task TitleTask TypeMaximum Number of Points
(Act. for Subtasks)
Minimum Number of Points for Task Passing
Exercises evaluation and ExaminationCredit and Examination100 (100)51
        Exercises evaluationCredit45 (45)23
                PísemkaWritten test30 0
                ProjektProject15 0
        ExaminationExamination55 21