# Statistical principles and methods - 4MM1PMS

• #### Number of hours

• Lectures 18.0
• Projects -
• Tutorials 18.0
• Internship -
• Laboratory works -
• Written tests -

ECTS 2.0

## Goal(s)

The aim of statistics is to provide useful information from random data. This course presents the basic principles of statistical data analysis (description, estimation, tests), and the most usual statistical methods. The focus of the course is application more than theory. The concepts introduced are illustrated with R.

Responsible(s)

Yvan PIGEONNAT

## Content(s)

1. Descriptive statistics. Statistical plots. Statistical indicators.
2. Point estimation. Definition and quality of an estimator. Method of moments. Maximum likelihood.
3. Confidence intervals.
4. Testing statistical hypotheses. The decision problem. One-sample parametric tests. Tests on the parameters of a normal distribution, on a proportion. Chi-squared test.
5. Linear regression Simple linear regression model. Least squares estimators.

Prerequisites

Probability Theory and Applications (first year).

Test

FIRST SESSION :
Kind of evaluation: after both parts of this course, the students have to upload on Chamilio a portfolio explaining how the learning outcomes of this course have been reached, and/or the encountered difficulties.

SECOND SESSION
An oral to defend the portfolio (which has possibly been improved during the meantime)

N1 : max((E2,(E1+E2)/2)
N2 : E3

Calendar

The course exists in the following branches:

• Curriculum - Work Study Education - Alternance 2eme annee
see the course schedule for 2023-2024

Course ID : 4MM1PMS
Course language(s):

The course is attached to the following structures:

You can find this course among all other courses.

Bibliography

Polycopié de cours.
P. DAGNELIE : Statistique théorique et appliquée, 2 tomes, De Boeck Université, 2007.
P. DALGAARD : Introductory Statistics with R, Springer, 2002.
D.C. MONTGOMERY, G.C. RUNGER : Applied Statistics and Probability for Engineers, Wiley, 2003.
G. SAPORTA : Probabilités, analyse de données et statistique, Technip, 2006.