470-2403/02 – Introduction to Probability and Statistics (UPS)
| 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 | | |
| | Study language | English |
| Year of introduction | 2015/2016 | Year of cancellation | 2020/2021 |
| Intended for the faculties | FEI | Intended for study types | Bachelor |
Subject aims expressed by acquired skills and competences
After completing the course a student will know the definition of basic concepts of probability and statistics and will be able to use their skills to solve fundamental problemes of probability and descriptive data analysis.
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:
StatSoft, Inc. (2013). Electronic Statistics Textbook. Tulsa, OK: StatSoft. WEB: http://www.statsoft.com
HILL, T. & LEWICKI, P. (2007). STATISTICS: Methods and Applications. StatSoft, Tulsa, OK.
Way of continuous check of knowledge in the course of semester
Presence form:
- 10 short tests during the semester per 2 points, 20 points overall (minimum required: 6 points)
- 2 homeworks per 10 points, 20 points overall (minimum required: 5 points for each task)
Combined form:
- 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)
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 marks.
E-learning
Other requirements
Presence form: Active participation at least in 80% of discussions.
Prerequisities
Subject has no prerequisities.
Co-requisities
Subject has no co-requisities.
Subject syllabus:
Lectures:
1) Introduction to Probability Theory
2) Discrete random variable
3) Continuous random variable
4) Transformation of random variables, independence of random variables
5) Discrete random vector
6) Introduction to Statistics - survey, a distribution of basic sample characteristics
7) Exploratory analysis of univariate data I. (categorical data)
8) Exploratory analysis of univariate data II. (numerical data)
9) Exploratory analysis of multidimensional data I.
10) Exploratory analysis of multidimensional data II. (pivot tables)
11) Introduction to the theory of estimation (point and interval estimates generally + estimates of mean, variance and the parameter of the binomial distribution)
12) Exploratory analysis of time series I.
13) Exploratory analysis of time series II.
Discussions:
1) Combinatorics, Classical definition of probability
2) Introduction to Probability Theory
3) Discrete random variable
4) Continuous random variable
5) Transformation of random variables, independence of random variables
6) Discrete random vector
7) Introduction to Statistics - survey, a distribution of basic sample characteristics
8) Exploratory analysis of univariate data I. - MS Excel
9) Exploratory analysis of univariate data II. - MS Excel
10) Exploratory analysis of multidimensional data I.
10) Exploratory analysis of multidimensional data II. (pivot tables)
11) Introduction to the theory of estimation (point and interval estimates generally + estimates of mean, variance and the parameter of the binomial distribution)
12) Exploratory analysis of time series I.
13) Exploratory analysis of time series II. - MS Excel
Conditions for subject completion
Conditions for completion are defined only for particular subject version and form of study
Occurrence in study plans
Occurrence in special blocks
Assessment of instruction
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