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Lecturer(s)
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Fišerová Eva, doc. RNDr. Ph.D.
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Hron Karel, prof. RNDr. Ph.D.
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Vencálek Ondřej, doc. Mgr. Ph.D.
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Fačevicová Kamila, Mgr. Ph.D.
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Jašková Paulína, Mgr.
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Pavlů Ivana, Mgr. Ph.D.
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Course content
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1. Motivation to mathematical statistics, point estimators. 2. Interval estimators. 3. Parameter hypotheses testing. 4. Tests for large samples, tests of goodness of fit. 5. Contingency tables. 6. Regression analysis - regression line. 7. Multiple regression. 8. Assessment of quality of a regression model, logistic regression. 9. Analysis of variance with one factor (simple classification). 10. Correlation analysis - correlation coefficient. 11. Correlation analysis - multiple and partial correlation 12. Nonparametric methods
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Learning activities and teaching methods
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Lecture, Dialogic Lecture (Discussion, Dialog, Brainstorming), Demonstration
- Attendace
- 52 hours per semester
- Preparation for the Course Credit
- 20 hours per semester
- Preparation for the Exam
- 60 hours per semester
- Homework for Teaching
- 20 hours per semester
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Learning outcomes
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Understand mathematical statistics and its applications.
Application Apply probability theory to methods of mathematical statistics.
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Prerequisites
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Basic knowledge of probability theory.
KMA/PST1
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Assessment methods and criteria
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Oral exam, Written exam
Credit: the student has to pass two written tests (i.e. in each of them at least one whole example correct). Exam: pass written test (at least one whole example out of two correct), the student has to understand the subject and be able to prove the principal results.
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Recommended literature
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Budíková, M., Mikoláš, Š., Osecký, P. (2001). Teorie pravděpodobnosti a matematická statistika. Sbírka příkladů.. MU, Brno.
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Hron, K., Kunderová, P. (2015). Základy počtu pravděpodobnosti a metod matematické statistiky (2. vydání). VUP, Olomouc.
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J. Anděl. (2005). Základy matematické statistiky. Praha, MATFYZPRESS.
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Walpole, R.E., Myers, R.H., Myers, S.L., Ye, K. (2002). Probability & statistics for engineers & scientists. Prentice Hall, Upper Saddle River.
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Zvára, K. (2008). Regrese. MatfyzPress, Praha.
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