Course Unit Code | 470-2401/03 |
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Number of ECTS Credits Allocated | 6 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 * | Third 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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| BRI10 | prof. Ing. Radim Briš, CSc. |
| KRA0220 | Ing. Jan Kracík, Ph.D. |
Summary |
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The course is an introduction to mathematical statistics. Students learn mathematical basis of statistics and gain hands-on experince with data analysis using software environment R. |
Learning Outcomes of the Course Unit |
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Studens learn basics of mathematical theory of statistics and gain hands-on experince with data analysis using software environment R. |
Course Contents |
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Lectures:
Random sample
- Probability distributions of quadratic forms
- Random sample from normal distribution
- Confidence intervals for parameters of a normal distribution
Hypothesis testing
- Simple hypothesis
- Simple null hypothesis and Composite alternative hypothesis
Estimation theory
- Point estimates and their properties
- Sufficient statistics
- Maximum likelihood estimation, method of moments
Analysis of variance
- One-way analysis of variance
Regression analysis
- Linear regression
Excersises follow lectures.
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Recommended or Required Reading |
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Required Reading: |
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RAO, C. RADHAKRISHNA. Linear statistical inference and its applications. 2. ed., paperback ed. New York: Wiley, 2002. ISBN 0471218758.
Briš R., Probability and Statistics for Engineers, 2011, electronics script, Project CZ.1.07/2.2.00/15.0132. Dostupné z http://homel.vsb.cz/~bri10/Teaching/Prob%20&%20Stat.pdf
TEETOR, Paul. R cookbook. Sebastopol, CA: O'Reilly, 2011. ISBN 9780596809157 |
ANDĚL, Jiří. Základy matematické statistiky. Praha: Matfyzpress, 2005. ISBN 80-86732-40-1.
ANDĚL, Jiří. Statistické metody. 4., upr. vyd. Praha: Matfyzpress, 2007. ISBN 80-7378-003-8.
BRIŠ R., LITSCHMANNOVÁ M.,STATISTIKA I. pro kombinované a distanční studium, Elektronické skriptum VŠB TU Ostrava,2004, http://homel.vsb.cz/~bri10/
TEETOR, Paul. R cookbook. Sebastopol, CA: O'Reilly, 2011. ISBN 9780596809157 |
Recommended Reading: |
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STERNSTEIN, Martin. Barron's AP statistics. 5th ed. Hauppauge, N.Y.: Barron's Educational Series, c2010. ISBN 978-0-7641-4089-1.
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LITSCHMANNOVÁ, M. (2011), Úvod do statistiky, elektronická skripta, dostupné online z: http://mi21.vsb.cz/modul/uvod-do-statistiky
RAO, C. RADHAKRISHNA. Linear statistical inference and its applications. 2. ed., paperback ed. New York: Wiley, 2002. ISBN 0471218758.
STERNSTEIN, Martin. Barron's AP statistics. 5th ed. Hauppauge, N.Y.: Barron's Educational Series, c2010. ISBN 978-0-7641-4089-1. |
Planned learning activities and teaching methods |
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Lectures, Tutorials, Project work |
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 and Examination | Credit and Examination | 100 (100) | 51 |
Credit | Credit | 40 | 20 |
Examination | Examination | 60 | 20 |