Applied Statistics

Garant předmětu:

Daniela Jarušková, Jana Nosková

Lecturer:

Daniela Jarušková

Tutor:

Daniela Jarušková

Supervisor:

Department of Mathematics

Synopsis:

Basic notions and terminology, random variable, descriptive and inferential statistics. Discrete and continuous random variables, normal distribution, log-normal distribution. Statistical methods, theory of estimation, hypotheses testing, simple linear regression.

Requirements:

none

Syllabus of lectures:

Subject can be adapted according to students demands.

1. Difference between descriptive and inferential statistics.

2. Probability. Conditional probability. Independence of random events.

3. Discrete random variables, probability distribution, expectation, variance, examples of discrete distributions.

4. Continuous distribution. Density. Distribution function. Quantiles.

5. Normal distribution.

6. Log-normal distribution.

7. two-dimensional distribution. Marginal distribution. Independence. Correlation.

8. Central limit theorem.

9. Parameters estimation. Confidence intervals.

10. Hypotheses testing. One and two-samples tests.

11. Linear regression. Method of least squares.

12. Linear regression. Estimation of parameters. Prediction.

Syllabus of tutorials:

1. Descriptive statistics in Excel.

2. Normal distribution in Excel.

3. Theory of estimation. Confidence intervals.

4. Two-sample problems.

5. Monte Carlo methods.

Study Objective:

Students know probability models and statistical methods of data analyses.

Study materials:

Jarušková D.: Matematická statistika, ČVUT Praha, 1997. Jarušková D., Hála M.: Pravděpodobnost a matematická statistika 12 - Příklady, ČVUT Praha, 2000.

Note:

Time-table for winter semester 2023/2024:

Time-table is not available yet

Time-table for summer semester 2023/2024:

Time-table is not available yet

The course is a part of the following study plans:

• Stavební inženýrství, obor Konstrukce pozemních staveb (compulsory elective course)
• Stavební inženýrství, specializace Pozemní stavby (compulsory elective course)