Probability Theory and Mathematical Statistics in Sociology
Course: Sociology
Structural unit: Faculty of Sociology
            Title
        
        
            Probability Theory and Mathematical Statistics in Sociology
        
    
            Code
        
        
            ОК8
        
    
            Module type 
        
        
            Обов’язкова дисципліна для ОП
        
    
            Educational cycle
        
        
            First
        
    
            Year of study when the component is delivered
        
        
            2024/2025
        
    
            Semester/trimester when the component is delivered
        
        
            2 Semester
        
    
            Number of ECTS credits allocated
        
        
            5
        
    
            Learning outcomes
        
        
            1.1 Know modern methods for determining the integrated sample characteristics, methods for estimating the parameters of the general population.
1.2 Know the statistical and probability distributions, their characteristics and applications.
1.3 Know the methods of applying statistical criteria.
2.1 Be able to calculate the integral characteristics of the sample.
2.2 Be able to formulate statistical hypotheses.
2.3 Be able to apply statistical criteria to solve applied problems.
        
    
            Form of study
        
        
            Full-time form
        
    
            Prerequisites and co-requisites
        
        
            1. Know the methods of elementary mathematics.
2. Be able to work with a computer.
3. Have basic data visualization skills.
        
    
            Course content
        
        
            І. Probability in empirical research.
Topic 1. Basic statistical sample characteristics.
Topic 2. Elements of probability theory.
ІІ. Statistical hypotheses and models in sociology.
Topic 3. Basic statistical estimates.
Topic 4. Test of statistical hypotheses.
Topic 5. Statistical criteria.
Topic 6. Linear regression.
        
    
            Recommended or required reading and other learning resources/tools
        
        
            Basic
1. Donchenko VS, Sydorov MV-S. Probability theory and mathematical statistics for the social sciences.- K: Taras Shevchenko National University of Kyiv, 2015, p 400.
Additionally
1. Chernyak OI etc. Econometrics. Textbook / Chernyak OI; Komashko OV; Stavytsky AV; Bazhenova OV; For the order. OI Черняка. - Kyiv: Publishing and Printing Center "Kyiv University", 2010. - 359 p.
2. John A. Rice. Mathematical Statistics And Data Analysis. Duxbury Advanced Series. Available 2010 Titles Enhanced Web Assign Series. .- Cengage Learning, 2007, ISBN0534399428, 9780534399429, 603 p.
3. Elementary Statistics with R http://www.r-tutor.com/elementary-statistics
4. Medvedev MG, Pashchenko I.0. Probability theory and mathematical statistics. Textbook. - Kyiv: Lira-K Publishing House. 2008. - 536 p.
5. Litnarovich RMPobudova and research of mathematical model on sources of experimental data by methods of regression analysis. Textbook, MEGU, Rivne, 2011.-140 p
        
    
            Planned learning activities and teaching methods
        
        
            Lecture, practice session, individual work in Moodle
        
    
            Assessment methods and criteria
        
        
            1. Distance course DataCamp “Introduction to R” LR 1.1, LR 1.3, LR 2.1 - 2 points / 1 point.
2. Prometheus distance learning course “Data analysis and statistical derivation in R” LR 1.1, LR 1.3, LR 2.1 - 3 points / 2 points.
  3. Kr 1 with topics 1.2 LR 1.1 - 5 points / 3 points.
4. Pkr 1 with topics 1, 2 LR 1.1, LR 2.1 - 6 points / 4 points.
5. Kr 2 on topic 3, LR 1.2, LR 2.1 - 5 points / 3 points.
6. Kr 3 on topic 3, RN 1.2, RN 2.1 - 5 points / 3 points.
7. Pkr 2 with topics 3,4 and 5, LR 1.2, LR 1.3, LR 2.2, LR 2.3 - 6 points / 4 points.
8. Homework - LR 1.1, LR 1.2, LR 1.3, LR 2.1, LR 2.2, LR 2.3, total 12 points / 8 points.
9. Performances at the board - LR 1.1, LR 1.2, LR 1.3, LR 2.1, LR 2.2, LR 2.3, total 16 points / 8 points.
final assessment – exam LR 1.1, LR 1.2, LR 1.3, LR 2.1, LR 2.2, LR 2.3
        
    
            Language of instruction
        
        
            ukrainian
        
    Lecturers
This discipline is taught by the following teachers
Departments
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