Course: Theory of Probability and Statistics 2

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Course title Theory of Probability and Statistics 2
Course code KMI/TS2
Organizational form of instruction Lecture + Lesson
Level of course Bachelor
Year of study not specified
Semester Summer
Number of ECTS credits 5
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)
  • Houda Michal, Mgr. Ph.D.
  • Berková Ilona, Ing. Ph.D.
  • Mrkvička Tomáš, prof. RNDr. Ph.D.
  • Fiala Jan, RNDr. et PhDr. Ph.D.
  • Čapková Tereza, Ing.
Course content
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.

Learning activities and teaching methods
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
Learning outcomes
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
Prerequisites:Theory of Probability and Statistics 1 Equivalence: Theory of Probability and Statistics 2

Assessment methods and criteria
Combined exam

Credit conditions: During the semester, the student must take two intermediate credit tests. A maximum of 50 points can be obtained for each continuous credit test, which are also included in the exam evaluation (see below). To be awarded credit, it is sufficient to take part in both interim tests, either in the regular or substitute term. (A substitute date can only be obtained on the basis of a submitted excuse from the doctor.) Corrective dates for credit tests are not granted. If the student does not get a credit, he cannot take part in the exam. The exam has one oral part, which consists of 3 questions, each worth four points. In total, the student can get 12 points in the oral exam. Success in continuous credit tests is evaluated as follows for the purpose of determining the final exam grade: <0; 10) points 0 points <10; 20) points 1 point <20; 30) points 2 points <30; 40) points 3 points <40; 50) points 4 points <50; 60) points 5 points <60; 70) points 6 points <70; 80) points 7 points <80; 90) points 8 points <90; 100> points 9 points The overall assessment in the exam is given by the sum of the points obtained for the intermediate tests and the points for the oral part: <18; 21> points, i.e. 18,19,20, 21 1 <17; 18) points, i.e. 17 1- <15; 17) points, i.e. 15, 16 2 <14; 15) points, i.e. 14 2- <12; 14) points, i.e. 12, 13 3 less than 12 points failed The same rules apply to all exam dates.
Recommended literature
  • Freeman, J., Shoesmith, E., Sweeney, D., Anderson, D., Williams, T. Statistics for Business and Economics. Cengage, 2017.
  • Hindls, R. a kol. Statistika v ekonomii. Praha: Professional Publishing, 2018. ISBN 978-80-88260-09.
  • Mrkvička, T., Petrášková, V.:. Úvod do statistiky, Jihočeská univerzita, České Budějovice, 2006.
  • Mrkvička, T., Petrášková, V. Úvod do teorie pravděpodobnosti. České Budějovice, 2008.


Study plans that include the course
Faculty Study plan (Version) Category of Branch/Specialization Recommended year of study Recommended semester