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Informatique et Mathématiques appliquées
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Statistical principles and methods - 4MM1PMS

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  • Number of hours

    • Lectures : 18.0
    • Tutorials : 18.0
    • Laboratory works : -
    • Projects : -
    • Internship : -
    • Written tests : -
    ECTS : 2.0
  • Officials : Yvan PIGEONNAT

Goals

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.

Content

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).

Tests

2 written exams, documents allowed.

N1 : (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 2020-2021

Additional Information

Course ID : 4MM1PMS
Course language(s): FR

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.

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Date of update January 15, 2017

Université Grenoble Alpes