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Informatique et Mathématiques appliquées
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> Formation > Cursus ingénieur

Statistical principles and methods - 4MM1PMS

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  • Number of hours

    • Lectures : 18.0
    • Tutorials : 18.0
    ECTS : 2.0

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.

Contact Jean-Baptiste DURAND

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

Additional Information

Curriculum->Work Study Education->Alternance 2eme annee

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

Grenoble INP Institut d'ingénierie Univ. Grenoble Alpes