Course detail

Mathematics I

FSI-9MA1Acad. year: 2016/2017

Normal distribution.
Estimation of parameters.
Hypothesis testing.
Analysis of variances.
Tukey's method and Scheffe method.
Linear model.
Coefficient of correlation.

Language of instruction

Czech

Number of ECTS credits

2

Guarantor

doc. RNDr. Bohumil Maroš, CSc.

Department

Institute of Mathematics (ÚM)

Learning outcomes of the course unit

Not applicable.

Prerequisites

Not applicable.

Co-requisites

Not applicable.

Planned learning activities and teaching methods

The course is taught through lectures explaining the basic principles and theory of the discipline.

Assesment methods and criteria linked to learning outcomes

Not applicable.

Course curriculum

Not applicable.

Work placements

Not applicable.

Aims

Not applicable.

Specification of controlled education, way of implementation and compensation for absences

Not applicable.

Recommended optional programme components

Not applicable.

Prerequisites and corequisites

Not applicable.

Basic literature

J. Anděl: Matematická statistika, SNTL/ALFA, Praha 1978 (CS)
F. Egermayer, M. Boháč: Statistika pro techniky, SNTL, Praha 1984 (CS)

Recommended reading

Not applicable.

Type of course unit

 

Lecture

20 hours, optionally

Teacher / Lecturer

doc. RNDr. Bohumil Maroš, CSc.

Syllabus

1. Collection of data.
2. Variance.
3. Pareto analysis.
4. Probability density and probability distribution.
5. Normal distribution.
6. Distribution of averages
7. Estimation of parameters.
8. Hypothesis testing.
9. Analysis of variances. One way testing,
10. Two way testing.
11. Tukey's method. Scheffe method.
12. Linear model.
13. Coefficient of correlation. Partial coefficient of correlation.
14. Statistics modelling. Monte Carlo method.