## INMBASTE Statistical Methods for Economists

Summer 2022
Extent and Intensity
2/1/0. 6 credit(s). Type of Completion: zk (examination).
Teacher(s)
doc. RNDr. David Bartl, Ph.D. (lecturer)
Guaranteed by
doc. RNDr. David Bartl, Ph.D.
Department of Informatics and Mathematics - School of Business Administration in Karvina
Contact Person: Mgr. Radmila Krkošková, Ph.D.
Course Enrolment Limitations
The course is only offered to the students of the study fields the course is directly associated with.
fields of study / plans the course is directly associated with
Syllabus
• 1. Elementary Statistical Terms and Methods
Measures of central tendency, measures of variability, skewness, kurtosis, statistical sample with two variables, hypothesis testing in general.
2. Hypothesis Testing in Marketing – Parametric and Nonparametric Tests
A marketing study, what hypothesis testing brings in marketing, one-sample t-test, two-sample t-test - the nonpaired and paired versions. Testing median, the chi-squared test for one sample, two-sample tests, the chi-squared test for two samples, Mann's-Whitney's test, Wilcoxon's paired test.
3. Regression and Correlation Analysis
The concept of regression, estimation of regression coefficients, testing significance of regression coefficients, confidence intervals for regression coefficients, testing model significance. Correlation coefficient, correlation index, Spearman's (rank) correlation, multivariate linear dependence - relations for two explanatory variables.
4. Methods of Prediction
Introduction to time series analysis, analysis of trends, analysis of seasonality, model of constant seasonality, analysis of the random component of a regression model, testing properties of the random term, predictions, causal and prognostic methods.
5. Analysis of Variance (ANOVA)
One-factor ANOVA, a measure of dependence. ANOVA for two factors and three factors (Latin squares).
6. Experimental Plans
Full experimental plans: foundations of experimenting and its applications, experimental procedure, factor effect, factor significance, testing factor significance, graphical assessment of factor effect, graphs of interactions, modelling experiment. Fractional plans: graphical evaluation of factor effect in fractional plans. Two-level fractional plans, half plans, graphical method.
7. Taguchi's Methods
Taguchi's methods: loss functions, definition and properties of loss functions, loss function for various types of tolerances, total quality costs, monitoring quality costs, control charts.
Language of instruction
English