Application of Statistical Methods

Garant předmětu:

Lecturer:

Tutor:

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:

Further information:

No time-table has been prepared for this course

The course is a part of the following study plans:

• Matematické inženýrství (elective course)
• Aplikovaná algebra a analýza (elective course)
• Fyzikální inženýrství materiálů (compulsory elective course)