Course contents = requirements for the exam

(For a detailed syllabus see https://dl1.cuni.cz/course/view.php?id=3253)

* Introduction to statistics

The role of mathematical statistics in psychology - basic concepts of statistics - problems of quantification in psychology - types of scales

* Descriptive statistics

a) Distribution and basic statistical characteristics: empirical distribution - graphical representation - quantils - basic statistical characteristics - standard scores (z-transformation, standard scales used in psychology).

b) Characteristics of statistical dependence: data matrix - two-dimensional distribution - concept of statistical dependence - Pearson correlation coefficient - Spearman correlation coefficient - other correlation coefficients - significance tests of correlation coefficients.

* Inductive statistical methods

a) Principles of statistical induction: base set (population) and samples.

b) Point and interval estimation - confidence interval.

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