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| STAT0064-2 | Statistics of experimental data in physics
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| Duration : | 20h Th, 15h Pr |
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| Number of credits : |
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| Lecturer : | Paul Gérard |
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Language(s) of instruction :
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| French language |
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Course contents :
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| The course is devoted to the fundamentals of the probability theory and gives an introduction to statistical data analysis.
Probability theory: discussion about the meaning of the word "probability", random events, Kolmogorov's axiomatic definition of probability, independence of events, conditional probability, sensitivity and specificity of a binary test, positive and negative predictive values, random variables and usual distributions, multivariate distributions, conditional distributions, independence, expectation and variance, conditional expectation and variance, linear regression, laws of great numbers, central limit theorems, characteristic function.
Introduction to statistics: populations and samples, descriptive statistics (graphical techniques, estimates of position and of dispersion, correlation and regression), sampling theory and estimation (confidence intervals), introduction to statistical tests. |
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Learning outcomes of the course :
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| To understand clearly and precisely the main mathematical notions of the theory of probability. To become familiar with the notion of statistical model and to learn some basic statistical methods. |
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Prerequisites and co-requisites/ Recommended optional programme components :
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| Differential and Integral calculus, matrix algebra. |
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Planned learning activities and teaching methods :
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| Exercices about the probability theory and its applications. Statistical treatment of real data. Introduction to the use of a statistical software (statistica). |
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Recommended or required readings :
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| A summary of the course is availaible.
Reference books
Initiation aux probabiliés. Sheldon M.Ross. Presses universitaires romandes.
Statistics, a guide to the use of statistical methods in the physical sciences. R.J.Barlow. Wiley & Sons |
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Assessment methods and criteria :
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| Exercixes: written examination
Theory: oral examination |
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Contacts :
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| Paul GERARD
Institut de mathématique
Grande traverse, 12
Sart-Tilman B-4000 Liège
Tél.: 00-32-(0)4 366 93 84
Courriel: paul.gerard@ulg.ac.be |
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