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ECTS Course Overview



Probability and Statistics

* Exchange students do not have to consider this information when selecting suitable courses for an exchange stay.

Course Unit Code470-4405/02
Number of ECTS Credits Allocated6 ECTS credits
Type of Course Unit *Optional
Level of Course Unit *Second Cycle
Year of Study *
Semester when the Course Unit is deliveredSummer Semester
Mode of DeliveryFace-to-face
Language of InstructionCzech, English
Prerequisites and Co-Requisites Course succeeds to compulsory courses of previous semester
Name of Lecturer(s)Personal IDName
BRI10prof. Ing. Radim Briš, CSc.
LIT40Ing. Martina Litschmannová, Ph.D.
Summary
This is an introductory course in statistics. The course will emphasize methods of applied statistics and data analysis. Theoretical considerations will be included to the extent that knowledge of theory is necessary for a sound understanding of methods and contributes to the development of data analysis skills and the ability to interpret results of statistical analysis. The objective of the course is to develop sufficient knowledge of statistical tools and procedures, understanding of the underlying theory on which the procedures are based, and facility in the application of statistical tools to enable the student to incorporate sound statistical methodology into other areas of his or her own work.
Learning Outcomes of the Course Unit
The course is designed for graduates to gain an initial idea of ​​the basic concepts and tasks that fall within the field of probability and statistics and were able to apply their knowledge in practice.
Course Contents
1) Introduction to Probability Theory
2) Discrete random variable
3) Selected distributions of discrete random variables
4) Continuous random variable
5) Selected distributions of continuous random variables
6) Limit Theorems
7) Random Vector
8) Introduction to statistics, exploratory analysis
9) The survey, random sampling and basic sample characteristics
10) Introduction to estimation theory
11) Introduction to hypothesis testing (principle)
12) Hypotheses testing - mean, probability, variance (one-sample and two-sample tests)
13) Analysis of variance (verification normality, ANOVA and Kruskal-Wallis test)
Recommended or Required Reading
Required Reading:
[1] Briš, R. (2011), Probability and Statistics for Engineers, VŠB-TU Ostrava, WEB: http://homel.vsb.cz/~bri10/Teaching/Bris%20Prob%20&%20Stat.pdf
[2] Dummer, R.M. (1998), Introduction to Statistical Science, VŠB-TU Ostrava, ISBN 80-7078-497-0
[1] LITSCHMANNOVÁ, M. (2011): Vybrané kapitoly z pravděpodobnosti, elektronická skripta, dostupné online z: http://mi21.vsb.cz/modul/vybrane-kapitoly-z-pravdepodobnosti
[2] LITSCHMANNOVÁ, M. (2011), Úvod do statistiky, elektronická skripta, dostupné online z: http://mi21.vsb.cz/modul/uvod-do-statistiky
[3] Dummer, R.M. (1998), Introduction to Statistical Science, VŠB-TU Ostrava, ISBN 80-7078-497-0
Recommended Reading:
[1] StatSoft, Inc. (2013). Electronic Statistics Textbook. Tulsa, OK: StatSoft. WEB: http://www.statsoft.com
[2] HILL, T. & LEWICKI, P. (2007). STATISTICS: Methods and Applications. StatSoft, Tulsa, OK.
[1] ANDĚL, J. (2002), Základy matematické statistiky, Univerzita Karlova v Praze, Matematicko-fyzikální fakulta, Preprint.
[2] HENDL, J. (2004), Přehled statistických metod zpracování dat, Praha , Portál. ISBN 80-7178-820-1.
[3] FRIEDRICH, V. (2002), Statistika 1 : Vysokoškolská učebnice pro distanční studium, Plzeň , Vydavatelství ZČU.
[4] StatSoft, Inc. (2013). Electronic Statistics Textbook. Tulsa, OK: StatSoft. WEB: http://www.statsoft.com
Planned learning activities and teaching methods
Lectures, Tutorials
Assesment methods and criteria
Tasks are not Defined