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| MATH0067-1 | Introduction to statistics and probability
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| Duration : | 15h Th, 15h Pr |
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| Number of credits : |
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| Lecturer : | Vincent Denoël |
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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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| The course covers superficially four aspects of statistics and probabilities:
- data collection (survey, inventory, experiment)
- descriptive statistics (1-D and 2-D, including linear regression)
- elementary probability distributions
- inductive statistics (sampling distributions and hypotheses testing) |
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Learning outcomes of the course :
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| Data Collection
- understand the difference between survey and experimentation, as well as their specificities
- use properly the vocabulary
- set up formally an inventory, a survey, an experiment
Descriptives Statiststics
- know the different indicators of position and distribution
- understand the notions of correlation and stochastic independence
- choose adequately the tools for a graphical representation and apply the concepts with Matlab
- summarize data to a set of indicators
- use (least-squares) linear regression and nonlinear regression
Probability
- classification of probability distributions
- importance of the normal distribution and the central limit theorem
- probabilistic modeling with random variables
- algebraic operations and other transformations of random variables
Inferential Statistics
- understand consequences of the choice of a sampling strategy
- formalize and test hypotheses |
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Prerequisites and co-requisites/ Recommended optional programme components :
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| - Calculus |
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Planned learning activities and teaching methods :
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| The course target the different job opportunities that an architect-engineer may face:
- Design office (descriptive statistics, data interpretation,...)
- Administration (statistics, survey, inventories,...)
- Research or PhD thesis (experimentation, hypothesis testing,...)
The lectures are a mix between ex cathedra theory and exercises.
The work load is mainly to be supplied in class, but some homeworks are suggested. |
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Mode of delivery (face-to-face ; distance-learning) :
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| Lectures take place on Tuesday morning, 8:30 till 12:30. Attendance is compulsory |
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Recommended or required readings :
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| Pierre Dagnelie, Statistique théorique et appliquée, de Boeck, 2nd édition, 1998. |
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Assessment methods and criteria :
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| 15% Report on a personnal project
85% A written examination concerning theoretical aspects as well as pratical ones (problems to be solved). The final mark is obtained as an arithmetic mean of the marks obtained for each question. The final mark is unique and globalized for both theory and exercises.
During a second session, the mark is obtained as the sole result of the written examination |
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Work placement(s) :
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Organizational remarks :
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Contacts :
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| Vincent Denoël
04/366.29.30
v.denoel@ulg.ac.be |
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| Items online : |
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| Lecture slides |
| click here to download (open access) |
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