Syllabus
The course content serves as the requirements for the exam:
Introduction to the Subject Matter:
Role of mathematical statistics in psychology
Basic statistical concepts
Issues with quantification in psychology
Types of scales
Descriptive (Descriptive) Statistics Methods:
Graphical presentation
Quantiles
Basic statistical characteristics
Standard scores (z-transformation, standard scales used in psychology)
Concept of statistical dependence
Pearson's correlation coefficient
Spearman's correlation coefficient
Other correlation coefficients
Significance tests of correlation coefficients
Inductive Statistical Methods:
Principles of statistical induction: population (basic set) and sample
Point and interval estimation of the population mean - confidence interval
Testing statistical hypotheses: null and alternative hypotheses - test characteristic - significance level - one-sided and two-sided test - p-value - z-test - statistical power
Some basic statistical tests:
One-sample t-test
Two-sample t-test
Paired t-test (for dependent samples)
Their nonparametric equivalents
Linear regression
Chi-square goodness of fit test
Chi-square test of independence
McNemar's symmetry test
Fisher's exact test
Analysis of Variance (ANOVA) c) Testing of statistical hypotheses: null and alternative hypothesis - test characteristics - level of significance - one-sided and double-sided test - p-value - z-test - statistical power. d) Some basic statistical tests: one-sampling t-test - two-samples t-test - paired t-test (for dependent samples) - linear regression - chi-square test of good fit - chi-square test of independence - Mc-Nemar test of symmetry - Fischer exact test - basics of non-parametric tests and ANOVA
Annotation
The course "Fundamentals of Statistics" introduces students to basic statistical concepts and terms with an emphasis on understanding the difference between descriptive and inductive statistics. Students will learn the principles of significance testing and null hypotheses, as well as apply the most common basic statistical techniques in the analysis of empirical data in the field of psychology.
The course is supported by the e-learning platform for data analysis.