1. Introduction to statistics: variable types, basic distributions and hypotheses examples
2. Calculating data statistics: central and variance tendency measures, correlation
3. Data visualization: distribution visualization techniques, multidimensional data, heatmaps, Venn diagrams
4. Data visualization practice: visualizing experiment data, explanatory data analysis (EDA)
5. Testing mean equality one-sample hypotheses with simulations
6. Testing goodness of fit hypothesis with simulations
7. Testing independency hypothesis with simulations
8. Sampling methods, sources of bias
9. Distributions: Bernoulli, binomial, geometrical, uniform, normal, exponential, Poisson
10. Types of errors and power of tests
11. Multiple comparisons problem
12. Regression analysis: linear regression using least squares
Advanced topics:
- Sample, estimates. Descriptive statistics. Unbiased estimator, consistent estimator. Distribution of empirical E, D.
- MLE, method of moments. Confidence intervals.
- One-sample hypothesis testing: one-tailed/two-tailed alternatives.
- One-sample hypothesis testing: parametric/non-parametric criteria.
- Two-sample hypothesis testing. Correlation coefficients.
- Linear regression, ANOVA.
- Multiple hypothesis testing: correction methods, FDR.