The aim of this course is to present the first elements of inferential statistics: sampling distributions, parametric point estimation, confidence intervals, hypothesis testing, chi-squared tests. The approach adopted is resolutely mathematical, with many proofs. Numerous illustrations will be used in parallel in order to understand the intuition behind them. The course therefore provides (i) the theoretical knowledge behind statistical inference, (ii) the intuitive understanding of the above elements, (iii) the mathematical rigour necessary to prove the results of the course and (iv) a practical understanding of the tools and methods for conducting statistical methods.
The aim of the course is to introduce the fundamental results of inferential statistics, and to show the importance and usefulness of these and the resulting methods in everyday life. At the end of the course, the student will be able to analyse a parametric (sampling) model, to perform many classical statistical tests (t-test, F-test, etc.) and to interpret outputs from the R software.
This course aims to familiarise the student with statistical reasoning. After a brief review of the necessary concepts of probability theory, the course will cover the classical concepts of an introductory course in statistics: point estimation, hypothesis testing and confidence intervals.
The end-of-year examination assesses the understanding of the theory but also the ability to grasp a problem, to analyse statistical data, to choose the most appropriate method and to correctly interpret the results obtained. The final grade will be composed of two parts: 1) A written exam which will mainly test technical and practical knowledge (exercises). It will consist of exercises of the same level as those covered in the exercise sessions. 2) An oral examination which will assess theoretical knowledge. The final mark will be the average of the marks obtained in each of these two examinations (if both are passed) and the minimum of the two marks if one of them is strictly below 10.
Syllabus for the course. Syllabus for exercises. Slides projected during the course. Correction of exercises.
| Training | Study programme | Block | Credits | Mandatory |
|---|---|---|---|---|
| Bachelor in Mathematics | Standard | 0 | 5 | |
| Bachelor in Mathematics | Standard | 2 | 5 |