470-2401/03 – Statistics I (STA1)
Gurantor department | Department of Applied Mathematics | Credits | 6 |
Subject guarantor | prof. Ing. Radim Briš, CSc. | Subject version guarantor | prof. Ing. Radim Briš, CSc. |
Study level | undergraduate or graduate | Requirement | Compulsory |
Year | 2 | Semester | summer |
| | Study language | Czech |
Year of introduction | 2019/2020 | Year of cancellation | |
Intended for the faculties | FEI | Intended for study types | Bachelor |
Subject aims expressed by acquired skills and competences
Studens learn basics of mathematical theory of statistics and gain hands-on experince with data analysis using software environment R.
Teaching methods
Lectures
Tutorials
Project work
Summary
The course is an introduction to mathematical statistics. Students learn mathematical basis of statistics and gain hands-on experince with data analysis using software environment R.
Compulsory literature:
Recommended literature:
Additional study materials
Way of continuous check of knowledge in the course of semester
2 tests per 10 points during the semester
semestral project with max. 20 points
Conditions for the credit:
project handed in and total score at least 20 points
E-learning
Basic materials are available on the educator's website:
http://homel.vsb.cz/~bri10
Other requirements
There are not defined other requirements for student.
Prerequisities
Subject has no prerequisities.
Co-requisities
Subject has no co-requisities.
Subject syllabus:
Lectures:
Random sample
- Probability distributions of quadratic forms
- Random sample from normal distribution
- Confidence intervals for parameters of a normal distribution
Hypothesis testing
- Simple hypothesis
- Simple null hypothesis and Composite alternative hypothesis
Estimation theory
- Point estimates and their properties
- Sufficient statistics
- Maximum likelihood estimation, method of moments
Analysis of variance
- One-way analysis of variance
Regression analysis
- Linear regression
Excersises follow lectures.
Conditions for subject completion
Occurrence in study plans
Occurrence in special blocks
Assessment of instruction