Statistics
Code  Completion  Credits  Range  Language 

32BCPSTAT01  Z,ZK  6  2P+2C  Czech 
 Course guarantor:
 Tomáš Macák
 Lecturer:
 Tomáš Löster, Tomáš Macák, Jiří Zmatlík
 Tutor:
 Tomáš Löster, Tomáš Macák, Jiří Zmatlík
 Supervisor:
 Institute of Economic Studies
 Synopsis:

Upon successful completion, students will acquire basic knowledge of applied statistics in the field of descriptive techniques of data sets, regression and correlation analysis, variance analysis, regression analysis, design and evaluation of experiments, hypothesis testing, and time series analysis. After completing the course, students will be ready to practically use these methods in followup courses and practical tasks in a business environment.
 Requirements:

The following forms of attestation verify the study results:
a) credit (C)
b) examination (Exam)
Credits are awarded for meeting the teacher's requirements at the beginning of the semester. In Statistics I, the minimum active participation in the exercise is 75%, the development of a semester project of the required quality and scope is at a minimum level of 60%, and the writing of a credit test is at a minimum level of 60%.
The followup exam is a form of attestation that tests the student's knowledge of the principles and procedures within the subject areas listed below for the subject Statistics. The exam is always written and is usually supplemented by an oral part.
 Syllabus of lectures:

1. Introduction to the problem, random variable, probability function, probability density, distribution function.
2. Basic types of distribution of discrete and continuous random variables, derivation of their essential numerical characteristics.
3. Numerical characteristics of a random variable, data types, mean value, variance, skewness coefficient, kurtosis coefficient, pquantile, median, and mode.
4. Random vectors, distribution and frequency functions of a random vector, independent of components of a random vector, marginal probability distribution.
5. A statistical set with one argument, regression and correlation analysis, derivation of coefficients of the equation of a straight line, and assumptions of a linear regression model.
6. Nonlinear regression, correlation analysis, correlation field with a general course, addition function, coefficient of determination.
7. Application of regression analysis for planning and designing experiments, the strength of factor influence on response, the interaction between factors, problems with the „change of only one factor“ approach, factorial designs, and analysis of variance.
8. Binary synthesis of the response variable and eliminating redundant factors in the experiment.
9. Statistics, statistical hypothesis, statistical tests, interval estimation, level of significance, critical values, test criteria, type 1 and type 2 errors.
10. Parametric and nonparametric statistical hypothesis testing. Singlechoice and doublechoice tests.
11. Dependency analysis of nominal and ordinal data type, contingency table, and independence hypothesis testing.
12. Statistical regulation. Shewhart control diagrams, Markov chains.
13. Methods of multidimensional analysis, external and internal analysis (principal component analysis, factor analysis, cluster analysis).
14. Choice of statistical methods, classification of statistical methods, problems of significance tests, Bayesian approach, computationally intensive methods.
 Syllabus of tutorials:

1. Introduction to the problem, random variable, probability function, probability density, distribution function.
2. Basic types of distribution of discrete and continuous random variables, derivation of their essential numerical characteristics.
3. Numerical characteristics of a random variable, data types, mean value, variance, skewness coefficient, kurtosis coefficient, pquantile, median, and mode.
4. Random vectors, distribution and frequency functions of a random vector, independent of components of a random vector, marginal probability distribution.
5. A statistical set with one argument, regression and correlation analysis, derivation of coefficients of the equation of a straight line, and assumptions of a linear regression model.
6. Nonlinear regression, correlation analysis, correlation field with a general course, addition function, coefficient of determination.
7. Application of regression analysis for planning and designing experiments, the strength of factor influence on response, the interaction between factors, problems with the „change of only one factor“ approach, factorial designs, and analysis of variance.
8. Binary synthesis of the response variable and eliminating redundant factors in the experiment.
9. Statistics, statistical hypothesis, statistical tests, interval estimation, level of significance, critical values, test criteria, type 1 and type 2 errors.
10. Parametric and nonparametric statistical hypothesis testing. Singlechoice and doublechoice tests.
11. Dependency analysis of nominal and ordinal data type, contingency table, and independence hypothesis testing.
 Study Objective:
 Study materials:

MONTGOMERY, D.C.; RUGER, G. Applied Statistics and Probability for Engineers, (7th Edition). John Wiley & Sons, 2018. ISBN 9781119585596.
LIND, D., MARCHAL, W., WATHEN, S. (2015) Statistical Techniques in Business and Economics, (16th Edition). McGrawHill Education. ISBN13: 9780078020520.
TRIOLA, M., F. Essentials of Statistics (5th Edition). Pearson Education 2015. ISBN13: 9780321924599.
 Note:
 Timetable for winter semester 2024/2025:

06:00–08:0008:00–10:0010:00–12:0012:00–14:0014:00–16:0016:00–18:0018:00–20:0020:00–22:0022:00–24:00
Mon Tue Wed Thu Fri  Timetable for summer semester 2024/2025:
 Timetable is not available yet
 The course is a part of the following study plans:

 B0413P050061 Ekonomika a management (profesní studijní program)  počínaje od ZS 2023/2024 (compulsory course)
 B0413P050061 Ekonomika a management (OZ101 Marketing) od ZS 2023/2024 (compulsory course)
 B0413P050061 Ekonomika a management (OZ102 Personální management) od ZS 2023/2024 (compulsory course)
 B0413P050061 Ekonomika a management (OZ103 Řízení firemních procesů) od ZS 2023/2024 (compulsory course)
 B0413P050061 Ekonomika a management (OZ104 Účetnictví) od ZS 2023/2024 (compulsory course)
 B0413P050061 Ekonomika a management (OZ105 Manažerská informatika) od ZS 2023/2024 (compulsory course)
 B0413P050061 Ekonomika a management (OZ106 Obchodní podnikání) od ZS 2023/2024 (compulsory course)