Practical lesson No. 4. COLLOQUIUM No. 1 "MATHEMATICS"

TOPIC: FUNDAMENTALS OF THEORY OF PROBABILITIES  AND MATHEMATICAL STATISTICS

Students should learn the material on the topic and be able to answer the following questions:
1. Fundamentals of probabilities theory
- The concept of evidence-based medicine.
- Random event. Definition of probability (statistical and classical). The concept of compatible and incompatible events, dependent and independent events. Addition and multiplication theorems for probabilities.
- Continuous and discrete random variables. Distribution of discrete and continuous random variables, their characteristics: mathematical expectation, variance, standard deviation.
- Normal law of distribution of continuous random variables. Distribution function. Probability density.
2. Basics of Mathematical Statistics
- General population and sample. Sample size, representativeness.
- Statistical distribution (variation series). Bar chart. Characteristics of position (mode, median, sample mean) and scatter (sample variance and sample standard deviation).
- Estimation of the parameters of the general population by the characteristics of its sample (point and interval).
- Confidence interval and confidence probability. Level of significance

3. Statistical hypotheses testing
- Comparison of the means of two normally distributed populations.
- Fisher's comparison criterion.
- Pearson's comparison criterion.
- Nonparametric tests.