30401 - MATHEMATICS AND STATISTICS - MODULE 2 (STATISTICS)
Course taught in English
Go to class group/s: 25
- Introduction to probability: basic definitions and properties.
- Random variables: discrete and continuous models and their properties.
- Data collection and description through frequency distributions, graphical representation methods, and measures of location and spread.
- The study of the relationship existing between two variables using two-way frequency tables, scatterplots, and measures of dependence (covariance and linear correlation coefficient). Linear interpolation.
- Inferential statistics, population, sampling, sampling variability and sample statistics.
- Point and interval estimation.
- Parametric hypothesis testing for the population mean and the proportion of successes.
- Nonparametric hypothesis testing for two-way tables.
- Simple linear regression model: explanatory power of the model, parameter estimation, forecasting.
- Two partial written exams (one in the middle and one at the end of the course), with exercises and questions about theory.
- A written general exam with exercises and questions about theory.
M. W. TROSSET, An Introduction to Statistical Inference and Its Applications with R, Chapman and Hall/CRC, 2009.