Course Unit Code | 310-3241/01 |
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Number of ECTS Credits Allocated | 3 ECTS credits |
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Type of Course Unit * | Choice-compulsory type B |
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Level of Course Unit * | Second Cycle |
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Year of Study * | Second Year |
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Semester when the Course Unit is delivered | Winter 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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| KAH14 | Mgr. Marcela Rabasová, Ph.D. |
Summary |
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Combinatorics and probability. Random events, operations with them, sample space.
Definitions of events' probability - classical, geometrical, statistics. Conditional probability. Total probability and independent events.
Random variable and its characteristics.
Basic types of probability distributions of discrete random variables.
Basic types of probability distributions of continuous random variables.
Random vector, probability distribution, numerical characteristics.
Statistical file with one factor. Grouped frequency distribution.
Statistical file with two factors.
Regression and correlation.
Random sample, point and interval estimations of parameters.
Hypothesis testing. |
Learning Outcomes of the Course Unit |
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The aim of the course is to provide theoretical and practical foundation for understanding the importance of basic probability concepts and teach the student statistical thinking as a way of understanding the processes and events around us, to acquaint him with the basic methods of gathering and analyzing statistical data, and to show how to use these general procedures in other subjects of study and in practice.
Graduates of this course should be able to:
• understand and use the basic terms from the combinatorics and probability theory;
• formulate questions that can be answered by the data and understand principles of collecting, processing and presentation of the data;
• select and use appropriate statistical methods for data analysis;
• propose and evaluate conclusions (inference) and make predictions using the data.
The graduate of this course should be able:
• understand and use basic notions in combinatorics and probability theory
• formulate questions, which can be answered based on the given data, for this purpose learn the principles of collecting, processing data and presentation of relevant values and results
• choose and use suitable statistical methods for data analysis
• suggest and evaluate conclusions (inference) and predictions obtained from data
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Course Contents |
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1. Combinatorics
2. Introduction to probability
3. Conditional probability and independent events. Bayes' theorem. Theorem of total probability.
4. Random variable and its characteristics
5.-7. The basic distributions of discrete and continuous random variable
8. Statistical file with one factor
9. Regression and correlation
10. Point and interval estimates of parameters
11.-12. Hypothesis testing
13. Reserve |
Recommended or Required Reading |
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Required Reading: |
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Dummer R. M.: INTRODUCTION TO STATISTICAL SCIENCE. VŠB-TU Ostrava 1998; ISBN 80-7078-497-0 |
Otipka P., Šmajstrla V.: Pravděpodobnost a statistika. VŠB-TU Ostrava 2012;
http://www.studopory.vsb.cz/materialy.html
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Recommended Reading: |
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Dummer R. M.: INTRODUCTION TO STATISTICAL SCIENCE. VŠB-TU Ostrava 1998; ISBN 80-7078-497-0 |
M. Litschmannová: Vybrané kapitoly z pravděpodobnosti. FEI VŠB TU Ostrava 2011; http://mi21.vsb.cz/modul/vybrane-kapitoly-z-pravdepodobnosti
M. Litschmannová: Úvod do statistiky. FEI VŠB TU Ostrava 2011; http://mi21.vsb.cz/modul/uvod-do-statistiky
Pavelka L., Doležalová J.: Pravděpodobnost a statistika. VŠB-TU Ostrava 1999; ISBN 80-7078-976-X |
Planned learning activities and teaching methods |
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Lectures, Individual consultations, Tutorials, Other activities |
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 | 30 | 10 |
Examination | Examination | 70 | 21 |