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| STAT0076-2 | General statistics
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| Duration : | 30h Th, 30h Pr |
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| Number of credits : |
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| Lecturer : | N... |
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| Substitute(s) : | Thomas Verdebout, Yvik Swan |
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Language(s) of instruction :
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| French language |
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Organisation and examination :
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| Teaching in the first semester, review in January |
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Course contents :
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- Foreword: population and sample
- Descriptive statistics
- Sets and combinatorics
- Probabilities (Bayes theorem)
- Random variables
- Probability laws (Uniform, Binomial, Poisson, Gaussian, Chi-2, Student, Lorentz)
- Convergences
- Hypothesis testing (First kind error, Neyman principle, tests for a mean)
- Inference for means and variances (one and multi-sample problems)
- Inference for proportions (one and multi-sample problems)
- One way ANOVA (tests)
- Two ways ANOVA (tests)
- Linear regression model (estimation and prediction)
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Learning outcomes of the course :
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| Practical and computationnal mastery of the main statistical notions. |
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Prerequisites and co-requisites/ Recommended optional programme components :
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| The course is self-sufficient, although elementary knowledge of calculus is a help. |
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Planned learning activities and teaching methods :
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Mode of delivery (face-to-face ; distance-learning) :
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Recommended or required readings :
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| Course notes are available through MyULG. Exercise sets are to be found in Albert (2005). The book "Albert A., Biostatistique, Les Editions de l'Université de Liège, 2005" is compulsory.
Bibliograpy
- Albert A., Biostatistique, Les Editions de l'Université de Liège, 2005
- Bevington P.R. and Robinson D.K., Data Reduction and Error Analysis for the Physical Sciences, Third edition, McGraw-Hill, 2003
- Casella, George, and Roger L. Berger. Statistical inference. Vol. 2. Pacific Grove, CA : Duxbury, 2002.
- Dehon, Catherine, Jean-Jacques Droesbeke, and Catherine Vermandele. Eléments de statistique : 5e edition revue et augmentée. 2008.
- Dehon, C., Probabilités et inférence statistique, Notes de cours de l'Université libre de Bruxelles, 2011
- Haesbroeck G., Probabilités et Statistique mathématique, Note de cours de l'Université de Liège, 2004
- Haesbroeck G., Statistique descriptive et notions de probabilité, Notes de cours de l'Université de Liège, 2013
- Rosner, Bernard. Fundamentals of biostatistics. Cengage Learning, 2010.
- Ruwet, C., Statistique des données expérimentales de la physique, Notes de cours de l'Université de Liège, 2013
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Assessment methods and criteria :
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Work placement(s) :
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Organizational remarks :
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Contacts :
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| Yvik Swan
Université de Liège Département de Mathématique, Grande Traverse, 12, Sart Tilman, B-4000 Liège
+32 4 366 94 76
yswan at ulg.ac.be
Thomas Verdebout
Université libre de Bruxelles
Département de Mathématique
tverdebout at ulb.ac.be |
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