| Course title | Theory of Probability and Statistics 2 |
|---|---|
| Course code | KMI/TPS2 |
| Organizational form of instruction | Lecture + Lesson |
| 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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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 |
Monologic (reading, lecture, briefing), Work with multi-media resources (texts, internet, IT technologies), Blended learning
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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 |
| Prerequisites |
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Prerequisites: 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
Active participation is required in the exercises. During the semester, the student must pass two continuous tests. The student will receive a credit if he / she obtains at least 50 % on average for both continuous tests. In case of a lower score, the student can use one corrective test, which summarizes the curriculum from the whole semester. If a student obtains at least 65 % of the continuous tests on average, it is considered that the student has passed the written part of the exam. If a student obtains a credit with an average success rate of 50 to 65 % of continuous tests, he must also pass the written part of the exam, with a 50 % success rate. In both cases, the oral part of the exam follows. |
| 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): Accounting and Financial Management (4) | Category: Economy | 2 | Recommended year of study:2, Recommended semester: Summer |
| Faculty: Faculty of Economics | Study plan (Version): Management and Business Economics (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): Management of Commerce (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 |