After successful completion of the course, students are able to:
- Use basic counting techniques (multiplication rule, combinations, permutations) to compute probability.
- Compute conditional probabilities directly and using the Bayes theorem, and check for independence of events.
- Set up and work with discrete random variables. In particular, understand the Bernoulli, binomial, geometric and Poisson distributions.
- Work with continuous random variables. In particular, know the properties of uniform, normal and exponential distributions.
- Know what expectation and variance mean and compute them.
- Understand the law of large numbers and the central limit theorem.
- Compute and interpret descriptive statistics and plots.
- Compute confidence intervals for the mean and variance.
- Carry out hypothesis testing for the mean and variance. Compute and interpret the p-value for these tests.
- Compute and interpret the correlation between two variables.
- Compute and interpret linear regression between two variables.
- Use statistical software (e.g. R) to implement the statistical analysis methods covered in the course.
Particular attention is paid to the use of statistical software (e.g. R) to implement the statistical analysis methods covered in the course.
Lectures and accompanying exercises in the exercise sessions. In the lecture central concepts will be presented, which will be then practiced and deepened in the exercise sessions on the basis of case studies. Exercises will involve solving problems and the use of R for computation, simulation and visualization. You will need to bring your laptop during these sessions and to have installed R Studio on your computer. You will not be expected to use R to do any advance computer programming. The R software can be downloaded from the CRAN website
https://cran.r-project.org
There will be one final written exam. The exam is a multiple-choice questions exam. For each task, there are four possible answers, and only one is correct. The one alternative that best completes the statement or answers the question should be chosen by ticking. You have to use a pen with either blue or black ink. The processing time is 120 minutes. You may use a non-programmable calculator and a hand- written sheet with the formulas you may need (written on one two-sided A4 format paper). The sheet with formulas should be submitted with the exam. Computers, smartphones, tablets, notes, books, etc., as well as discussions and consultations, are not allowed during the exam. It is mandatory to bring a personal document/ID with picture.
