Statistics

Give students an essentially practical knowledge of basic statistical tools: - summary presentation of results, numerically and graphically - analysis of these results, possible conclusions in terms of estimates or tests
Process data, implement and interpret statistical tests to make decisions.

Basic elements of probability calculus

Introduction


1 Descriptive statistics

Univariate descriptive statistics
Bivariate descriptive statistics

2 Reminders of probability: the usual laws (binomial, normal, etc.).)
3 Sampling and estimation

Principle of sampling
Qualities of an estimator
Confidence intervals (means, variance and proportions)
Sample size

4 Introduction to hypothesis testing

General : principle of a hypothesis test
Compliance tests: mean, proportion, variance
Goodness-of-fit tests
Independence tests
Notion of power

5 Linear regression

Principles
Least squares criterion
Evaluation of fit
Estimates and associated hypothesis tests

Engineering Sciences and Techniques

Dagnelie P. [2007]. Theoretical and applied statistics. Tome 1. Descriptive statistics and foundations of statistical inference. De Boeck et Larcier.
Dagnelie P. [2006]. Theoretical and applied statistics. Tome 2. One- and two-dimensional statistical inference. De Boeck et Larcier.
Saporta G. [2006]. Probabilités, analyses des données et statistiques, Technip.
Dodge Y, [2006]. Premiers pas en statistiques, Springer.