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Lecturer(s)
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Mrkvička Tomáš, prof. RNDr. Ph.D.
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Berková Ilona, Ing. Ph.D.
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Houda Michal, Mgr. Ph.D.
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Fiala Jan, RNDr. et PhDr. Ph.D.
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Čapková Tereza, Ing.
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Course content
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Contents of lectures: 1. Axiomatic definition of probability, 2. Conditional probability. Bayes equations. 3. Discrete and continuous random variables. 4. Two random variables, covariance and correlation. 5. Law of large numbers, central limit theorem. 6. Principles of statistical testing. F-test. Test about variance. 7. Test about mean value with CLT. 8. Theory of estimates. Confidence intervals. 9. Confidence interval with CLT. The size of samples with given length of interval. 10. ANOVA 1 factor. 11. ANOVA 2 factors. Chi - square tests. 12. Simple regression analysis. 13. Multivariate regression analysis.
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Learning activities and teaching methods
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Monologic (reading, lecture, briefing), Work with multi-media resources (texts, internet, IT technologies), Blended learning
- Class attendance
- 42 hours per semester
- Preparation for exam
- 12 hours per semester
- Preparation for classes
- 50 hours per semester
- Preparation for credit
- 8 hours per semester
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Learning outcomes
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A basic introductory course devoted to basic principles of data handling, statistical reasoning, and applications of data analysis.
Student undestands basic principals of probability theory and mathematical statistics
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Prerequisites
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Prerequisites: Theory of Probability and Statistics 1 Equivalence: Theory of Probability and Statistics 2
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Assessment methods and criteria
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Combined exam
Credit requirements: in the course of the semester, the student will solve a set of the problems given in the university e-learning system. The final exam has two parts, written and oral. The written part is completed, and the student is hence allowed to pass to the oral part, if the result of the exam test is at least 50 % of points. The oral part has three questions and focuses on understanding of the course topics. The student does not complete the oral part if he/she is not able to answer any of the three questions. The final grade is based on the results of both written and oral part.
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Recommended literature
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Freeman, J., Shoesmith, E., Sweeney, D., Anderson, D., Williams, T. Statistics for Business and Economics. Cengage, 2017.
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Hindls, R. a kol. Statistika v ekonomii. Praha: Professional Publishing, 2018. ISBN 978-80-88260-09.
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Mrkvička, T., Petrášková, V.:. Úvod do statistiky, Jihočeská univerzita, České Budějovice, 2006.
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Mrkvička, T., Petrášková, V. Úvod do teorie pravděpodobnosti. České Budějovice, 2008.
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