| Course title | Theory of Probability and Statistics 2 |
|---|---|
| Course code | KMI/KTPS2 |
| Organizational form of instruction | Lecture |
| Level of course | Bachelor |
| Year of study | 2 |
| Semester | Summer |
| Number of ECTS credits | 3 |
| Language of instruction | Czech |
| Status of course | Compulsory-optional |
| Form of instruction | Face-to-face |
| Work placements | This is not an internship |
| Recommended optional programme components | None |
| Lecturer(s) |
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| Course content |
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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 |
Monologic (reading, lecture, briefing), Dialogic (discussion, interview, brainstorming), E-learning
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| Learning outcomes |
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A basic introductory course devoted to basic principles of statistical reasoning and applications of data analysis.
Student manages the basic principles and methods of probability and statistics. |
| Prerequisites |
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Prerequisities: Theory of Probability and Statistics 1 Equivalence: Theory of Probability and Statistics 2
KMI/KPS1A ----- or ----- KMI/KTPS1 ----- or ----- KMI/TPS1 ----- or ----- KMI/TPS1A |
| Assessment methods and criteria |
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Combined exam
The writing exam has to be passed with at least 50% followed by oral exam, also active attendance of the course is required. |
| Recommended literature |
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| Study plans that include the course |
| Faculty | Study plan (Version) | Category of Branch/Specialization | Recommended semester | |
|---|---|---|---|---|
| Faculty: Faculty of Economics | Study plan (Version): Structural Policy of the EU for Public Administration (4) | Category: Economy | 2 | Recommended year of study:2, Recommended semester: Summer |
| Faculty: Faculty of Economics | Study plan (Version): Economic Informatics (4) | Category: Economy | 2 | Recommended year of study:2, Recommended semester: Summer |
| Faculty: Faculty of Economics | Study plan (Version): Management of Commerce (4) | Category: Economy | 2 | Recommended year of study:2, Recommended semester: Summer |
| Faculty: Faculty of Economics | Study plan (Version): Financial and Insurance Mathematics (4) | Category: Mathematics courses | 2 | Recommended year of study:2, Recommended semester: Summer |
| Faculty: Faculty of Economics | Study plan (Version): Accounting and Financial Management (4) | Category: Economy | 2 | Recommended year of study:2, Recommended semester: Summer |