639-0810/01 – Mathematical Statistics (MS)
| Gurantor department | Department of Quality Management | Credits | 5 |
| Subject guarantor | prof. RNDr. Josef Tošenovský, CSc. | Subject version guarantor | prof. RNDr. Josef Tošenovský, CSc. |
| Study level | undergraduate or graduate | Requirement | Compulsory |
| Year | 1 | Semester | summer |
| | Study language | Czech |
| Year of introduction | 2004/2005 | Year of cancellation | 2018/2019 |
| Intended for the faculties | FMT | Intended for study types | Follow-up Master |
Subject aims expressed by acquired skills and competences
1) Knowledge of elementary methods of mathematical statistics:
- calculation of basic characteristics,
- parameter estimation,
- hypothesis testing,
- regression and correlation analysis
2) Real data analysis
Teaching methods
Lectures
Seminars
Tutorials
Project work
Summary
Processing and analysis of the data which represent unknown population, making
models of real situations for extrapolation and interpolation. The basic
chapters of mathematical statistics: numerical characteristics, theory of
estimation, regression and correlation analysis,testing of hypothesis.
Compulsory literature:
1. Sheskin,D.J.: Handbook of Parametric and Nonparametric Statistical
Procedures. Chapmanand Hall, USA 2003.
2. Parzen,E.: Modern Probability Theory and Its Applications. NY, J.Wiley, 1960.
Recommended literature:
1. Montgomery, D. C.: Applied Statistics and Probability for Engineers. NY, Wiley, 2010. ISBN: 978-0-470-50578-6
Way of continuous check of knowledge in the course of semester
Test
Essay
E-learning
None
Other requirements
There are no additional requirements for students.
Prerequisities
Co-requisities
Subject has no co-requisities.
Subject syllabus:
1. Random Sampling
2. Data Description - Mean, Variance, Standard Deviation, Median, Others
3. Point Estimation of Parameters
4. Statistical Intervals fot a Single Sample
5. Tests of Hypotheses for a Single Sample
6. Simple Linear Regression and Correlation
7. Multiple Linear Regression
8. Test of Independence in Contingency Tables
9. Multivariate Statistical Analysis
10. Graphical Methods for Data Analysis
Conditions for subject completion
Occurrence in study plans
Occurrence in special blocks
Assessment of instruction
Předmět neobsahuje žádné hodnocení.