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Lecturer(s)
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Fajkus Martin, RNDr. Ph.D.
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Chramcov Bronislav, doc. Ing. Bc. Ph.D.
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Hrabec Dušan, Ing. Ph.D.
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Course content
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- a brief review of combinatorics and elementary probability - introduction to probability theory, event, properties of probability, conditional probability, the law of total probability, Bayes´ theorem - random variable, probability distribution, cumulative distribution function - random vector, marginal functions - characteristics of random variables and random vectors - discrete random variables and probability distributions - continuous random variables and probability distributions - the law of large numbers; central limit theorem - descriptive statistics; processing statistical data; point and interval frequency distribution - point and interval estimations - check of normality and parametric tests - goodness-of-fit test and nonparametric tests - analysis of qualitative data - simple linear correlation and regression
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Learning activities and teaching methods
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Monologic (Exposition, lecture, briefing), Demonstration, Exercises on PC, Practice exercises
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| prerequisite |
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| Knowledge |
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| Standard knowledge and computational skills of high school mathematics. |
| Standard knowledge and computational skills of high school mathematics. |
| learning outcomes |
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| After completion of this course students should be able to: -define basic concepts of descriptive statistic -recognise the type of distribution and data type -choose a suitable method of data analysis according to the distribution function. |
| After completion of this course students should be able to: -define basic concepts of descriptive statistic -recognise the type of distribution and data type -choose a suitable method of data analysis according to the distribution function. |
| teaching methods |
|---|
| Exercises on PC |
| Exercises on PC |
| Practice exercises |
| Practice exercises |
| Monologic (Exposition, lecture, briefing) |
| Demonstration |
| Demonstration |
| Monologic (Exposition, lecture, briefing) |
| assessment methods |
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| Written examination |
| Written examination |
| Analysis of seminar paper |
| Analysis of seminar paper |
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Recommended literature
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ANDĚL, J. Statistické metody, 3. vyd. Praha : Matfyzpress, 2003. ISBN 80-86732-08-8.
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Budíková M. Průvodce základními statistickými metodami. Praha, 2010. ISBN 978-80-247-3243-5.
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Budíková, Marie. Popisná statistika. Brno : MU, 1998. ISBN 80-210-1831-3.
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Devore, Jay L. Probability and statistics for engineering and the sciences. 6th ed. Belmont, CA : Thomson-Brooks/Cole, 2004. ISBN 534399339.
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Jaroš, František. Pravděpodobnost a statistika. Vyd. 3. Praha : Vysoká škola chemicko-technologická, Fakulta chemicko-inženýrská, 2002. ISBN 8070804742.
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Pavlík, J. Aplikovaná statistika pro DS. Praha : VŠCHT, 1999. ISBN 80-7080-366-5.
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