470-4405/04 – Probability and Statistics (PS)
| Gurantor department | Department of Applied Mathematics | Credits | 4 |
| Subject guarantor | Ing. Martina Litschmannová, Ph.D. | Subject version guarantor | Ing. Martina Litschmannová, Ph.D. |
| Study level | undergraduate or graduate | Requirement | Choice-compulsory |
| Year | 1 | Semester | summer |
| | Study language | English |
| Year of introduction | 2016/2017 | Year of cancellation | 2020/2021 |
| Intended for the faculties | USP | Intended for study types | Follow-up Master |
Subject aims expressed by acquired skills and competences
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.
Teaching methods
Lectures
Tutorials
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.
Compulsory literature:
Recommended literature:
Way of continuous check of knowledge in the course of semester
Presence form:
Discussions:
- 10 short tests during the semester per 2 points, 20 points overall (minimum required: 6 points)
- 4 homeworks per 5 points, 20 points overall (minimum required: 5 points for each task)
Exam:
- 10 short tests during the semester per 2 points, 20 points overall (minimum required: 6 points)
Combined form:
Discussions:
- 3 homeworks during the semester per 10 points, for a total maximum of 30 points (minimum required: 3 points for each homework)
- Test with a maximum of 10 points (minimum required: 1 point)
- Semester project, max 20 points (minimum required: 10 points)
Exam:
- written exam (practical part: max. 50 points, required minimum: 25 points, theoretical part: max. 10 points, required minimum: 2 points)
For successful completion of the Discussions is given credit. Students will receive credit if they meet the required
minimum of each of the sub-tasks and compensatory gain at least 20 points.
Students will pass the exam if they meet the the required minimum of each of the sub-tasks and compensatory gain (Discussions and Exam) at least 51 points.
E-learning
Other requirements
Presence form: Active participation in at least 80% of discussions.
Prerequisities
Subject has no prerequisities.
Co-requisities
Subject has no co-requisities.
Subject syllabus:
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)
Conditions for subject completion
Occurrence in study plans
Occurrence in special blocks
Assessment of instruction
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