Statistics

mathematics

elementary

MA1_W01, MA1_W03,MA1_W04, MA1_W05,MA1_W08;

MA1_U09, MA1_U11,MA1_U30, MA1_U31,MA1_U32, MA1_U33,MA1_U34, MA1_U35,MA1_U36;

MA1_K02;

Knowledge of: mathematical analysis I, algebra with geometry I, probability theory I.

The aim of the course is to provide knowledge of the basics of mathematical statistics and statistical inference. In lecture, students master the knowledge of the assumptions and construction of statistical models and their role in statistical inference.

In exercises and laboratory, students master methods of practical application of statistical models in other fields.

In the field of lecture, the student:

W1. has knowledge of the place of statistics in mathematics and its applications (MA1_W01);

W2. has knowledge of the construction and analysis of simple mathematical-statistical models based on basic mathematical theories and their applications in other sciences (MA1_W03);

W3. knows basic theorems of descriptive and mathematical statistics (MA1_W04);

W4. knows examples illustrating basic statistical concepts (MA1_W05);

W5. knows the basics of computational techniques in the area of descriptive and mathematical statistics (MA1_W08)

In the area of exercises and laboratory, the student:

U1. is able to assign appropriate functions with their properties to statistical issues (MA1_U09);

U2. is able to interpret and apply quantitative and graphical methods of presenting data and their interdependencies (MA1_U11);

U3. is able to construct and analyse a mathematical model of a random experiment and uses the concepts of probabilistic and statistical space (MA1_U30);

U4. knows practical applications of basic (discrete and continuous) probability distributions (MA1_U31);

U5. is able to apply the integral p-value and Bayesian formulas (MA1_U32);

U6. is able to estimate the parameters of parametric distributions, also using CLT (MA1_U33);

U7. is able to use statistical population characteristics and their sample equivalents (MA1_U34);

U8. is able to make simple statistical inferences, also using computer tools (MA1_U35);

U9. is able to talk about statistical issues in understandable language (MA1_U36)

and

K1. is prepared to formulate questions to deepen a broader understanding of the problem being solved (MA1_K02).

For all effects, the following assessment criteria are adopted for all forms of verification:

grade 5: fully achieved (no obvious shortcomings)

grade 4.5: achieved almost fully and criteria for awarding a higher grade are not met

grade 4: largely achieved and the criteria for a higher grade are not met

grade3.5: largely achieved -with a clear majority of positives -and the criteria for granting a higher grade are not met

grade 3: achieved for most of the cases covered by the verification and criteria for a higher grade are not met

grade 2: not achieved for most of the cases covered by the verification