Application of Statistical Methods
Code | Completion | Credits | Range |
---|---|---|---|
01ASM | KZ | 2 | 2+0 |
- Course guarantor:
- Tomáš Hobza
- Lecturer:
- Tomáš Hobza
- Tutor:
- Tomáš Hobza
- Supervisor:
- Department of Mathematics
- Synopsis:
-
The course focuses on applications of selected methods of statistical data analysis to concrete problems including their solutions using statistical software. Namely we will deal with: hypotheses tests about parameters of normal distribution, nonparametric methods, contingency tables, linear regression and correlation, analysis of variance.
- Requirements:
-
Basic course of Calculus and Probability (in the extent of the courses 01MAB3, 01MAB4 and 01PRST held at the FNSPE CTU in Prague).
- Syllabus of lectures:
-
1. Hypothesis tests about parameters of normal distribution.
2. Goodnes-of-fit tests.
3. Nonparametric tests - sign and rank tests, Wilcoxon test, Kruskal-Wallis test.
4. Contingency tables - tests of independence and homogeneity, McNemar's test.
5. Linear regression and correlation.
6. One-way and two-way analysis of variance.
- Syllabus of tutorials:
- Study Objective:
-
Knowledge:
Basic statistical procedures for data analysis and data visualization.
Skills:
Application of theoretically studied statistical procedures to practical problems of data analysis including use of these methods on computer in the MATLAB environment.
- Study materials:
-
Key references:
[1] Shao, Jun: Mathematical Statistics, Springer, New York 1999
Recommended references:
[2] J.P. Marques de Sá: Applied statistics using SPSS, STATISTICA, MATLAB and R, Springer, 2007.
- Note:
- Time-table for winter semester 2024/2025:
- Time-table is not available yet
- Time-table for summer semester 2024/2025:
- Time-table is not available yet
- The course is a part of the following study plans:
-
- Aplikovaná algebra a analýza (elective course)
- Aplikace informatiky v přírodních vědách (compulsory course in the program)
- Fyzikální inženýrství materiálů (compulsory elective course)