| Course Unit Code | 310-2122/01 |
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| Number of ECTS Credits Allocated | 1 ECTS credits |
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| Type of Course Unit * | Optional |
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| Level of Course Unit * | First Cycle |
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| Year of Study * | Second Year |
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| Semester when the Course Unit is delivered | Summer Semester |
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| Mode of Delivery | Face-to-face |
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| Language of Instruction | Czech |
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| Prerequisites and Co-Requisites | Course succeeds to compulsory courses of previous semester |
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| Name of Lecturer(s) | Personal ID | Name |
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| SKN002 | Ing. Petra Schreiberová, Ph.D. |
| Summary |
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Introduction to probability, Discrete and continuous random variables, Numerical characteristics of random variables,
Exploratory data analysis, Point and interval estimations of parameters, Hypothesis testing, Simple linear regression
model. |
| Learning Outcomes of the Course Unit |
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The aim of Repetitorium is to enable
the understanding of mathematics subject matter by solving concrete exercises. Repetitorium will be primarily focused
on practical part of the exam; the exercises that correspond to the written part of the exam will be solved there. |
| Course Contents |
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1. Combinatorics. Random events, operations with them, sample space.
2. Definitions of probability events - classical, geometrical, statistics. Conditional probability, Bayes\' theorem.
Bernoulli independent repeated trials.
3. Discrete random variable and continuous random variable. Functions of random variables. Moment-generating function,
quantiles.
4. Discrete probability distribution.
5. Continuous probability distribution.
6. Statistics. Statistical methods, descriptive statistics
7. Observed data. Point estimators, interval estimators.
8. Statistical hypothesis testing – the testing process, interpretation, importance. Parametric tests.
9. Correlation and regression analysis. |
| Recommended or Required Reading |
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| Required Reading: |
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W.J. DeCoursey: Statistics and Probability for Engineering Applications With Microsoft(R) Excel. Copyright © 2003
Elsevier Inc. ISBN 978-0-7506-7618-2. Available on-line: http://www.sciencedirect.com/science/book/9780750676182
Atwood C. L. Hits per Trial: Basic Analysis of Binomial Data. Department of Energy, 1994 ; DOI: 10.2172/10191270.
Available on-line: http://www.osti.gov/bridge/product.biblio.jsp?osti_id=10191270
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Pavelka, L.-Doležalová, J.: Pravděpodobnost a statistika. Skriptum VŠB, Ostrava 1993. ISBN 80-7078-976-X.
Otipka, P.-Šmajstrla, V.: Pravděpodobnost a statistika. Skriptum VŠB-TU, Ostrava 2006. ISBN 80-248-1194-4.
http://mdg.vsb.cz/portal/m3/pracovnilistyMIII.pdf
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| Recommended Reading: |
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http://stattrek.com/tutorials/statistics-tutorial.aspx
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Škrášek, S.-Tichý, Z.: Základy aplikované matematiky III. SNTL, Praha 1990
Hradecký, P. a kol.: Pravděpodobnost. Skriptum VŠB-TU, Ostrava 1998. ISBN 80-7078-442-3.
Hendl, J.: Přehled statistických metod zpracování dat. Praha : Portál, 2004. ISBN 80-7178-820-1.
W.J. DeCoursey: Statistics and Probability for Engineering Applications With Microsoft(R) Excel. Copyright © 2003 Elsevier Inc. ISBN 978-0-7506-7618-2. Available on-line: http://www.sciencedirect.com/science/book/9780750676182 |
| Planned learning activities and teaching methods |
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| Tutorials |
| Assesment methods and criteria |
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| Task Title | Task Type | Maximum Number of Points
(Act. for Subtasks) | Minimum Number of Points for Task Passing |
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| Credit | Credit | | |