Statistics

Teacher(s)

Bugli Céline;

Language

French

Prerequisites

The prerequisite(s) for this Teaching Unit (Unité d’enseignement – UE) for the programmes/courses that offer this Teaching Unit are specified at the end of this sheet.

Main themes

The course comprises theoretical lectures and exercise sessions: 1. Brief recall on one- and two-dimensional descriptive statistics 2. Inferential statistics: populations and samples, probabilities, variables, theoretical distributions, confidence intervals (means, variance, proportion), hypothesis testing based on sample means (Student t-test, analysis of variance, analysis of covariance, multiple comparisons), proportions (chi square, phi, contingency), correlations/regressions (significance, comparison, linearity), adjustment tests (chi square, KS), non-parametric tests (comparison of independant and dependant groups). 3. Application to capacity tests: classification of tests, quality of tests, validity and reproducibility.

Aims

At the end of this learning unit, the student is able to :
1	At the end of the course the successful student will be able to use the techniques of inferential statistics within the framework of his/her research. The course focuses on the most frequently used statistical methods. The underlying mathematical developments are limited to a strict minimum and replaced by intuitive reasoning and concrete examples, especially via practical exercise sessions.

The contribution of this Teaching Unit to the development and command of the skills and learning outcomes of the programme(s) can be accessed at the end of this sheet, in the section entitled “Programmes/courses offering this Teaching Unit”.

Content

This course includes lectures and exercises. It contains a brief summary of the concepts of descriptive statistics and a two-dimensional views in the course of 11 BAC "Comprehension and analysis of data". It focuses mainly on the basic issues of statistical inference: population and sample probabilities, random variables, distribution theory, confidence intervals (mean, variance, proportion), tests of hypotheses related to the mean (Student's t, analysis variance, analysis of covariance, individual comparisons), proportions (chi-square, phi, contingency C), the correlation / regression (meaning, comparison, linearity), testing adjustment (chi-square, KS), some nonparametric tests (comparison of independent groups and dependent).

Other information

Pre-requisite Evaluation Written or oral examination, continuous evaluation Support Syllabus or reference books Supervision Titular professors Others Exercise sessions + solutions to problems in groups of maximum 30 students

Faculty or entity

FSM