(in Polish) Statistics 440-ERS-1STS

The aim of the exercises is to familiarize students with the basic concepts of statistics, descriptive, useful in social and economic sciences. The purpose of the exercises is to provide students with basic concepts, tools and statistical methods with which they will be able to: collect and compile statistical material, conduct statistical analysis of data, formulate correct conclusions
 The main issues of the course:
1. Structure of the statistical survey - scope of the statistical survey, subject of the statistical survey, purpose of the statistical survey, sequential structure of the statistical survey
2. Basic concepts and distributions: population, data matrix, statistical variable, statistical variable distribution, joint distribution of two variables, conditional distribution, forms of statistical distribution presentation
3. Types of variables - measuring scales, transformations on measuring scales
4. Basic parameters of the value level: minimum value, maximum value, arithmetic average, modal value, median, quantiles. Properties of value level parameters
5. Basic dispersion parameters: variance, median average deviation, modal error, range. Properties of scattering parameters and the scope of their application
6. Standardization of the statistical variable, properties and applications,
7. Big theorem on decomposition of variance and its application. Parameters of conditional distributions as statistical variables. Aggregation of conditional parameters. The variance distribution theorem
8. Function parameters of two variables. Basic functions of two variables and their parameters: sum, difference and product of two variables. Covariance and its properties
9. Stochastic relationship. Independence and stochastic dependence. Maximum stochastic relationship (functional dependence).
10. Description errors and interpretation of parameters of one variable distribution. The problem of optimal statistical description.
11. Type I regressions and corresponding measures of statistical dependency. Modal regression, median regression, mean regression. Measurement of the strength of statistical dependence. Correlation ratio and dependency strength for the first type of regression
12. Linear regression type II and correlation coefficient. Determination of linear regression by the method of least squares, interpretation of linear regression coefficients. Linear correlation coefficient and its properties