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| ENVT0781-1

 | Analyse et traitement des données - Traitement de l'information environnementale - outils statistiques et mathématiques - Decision-making aid: methods of multicriteria analysis - Analyse des systèmes naturels et modélisation

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| Duration : | Traitement de l'information environnementale - outils statistiques et mathématiques : 15h Th, 9h Pr Decision-making aid: methods of multicriteria analysis : 12h Th, 12h Pr Analyse des systèmes naturels et modélisation : 15h Th, 9h Pr
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| Credits/ECTS : |
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| Holder(s) : | Traitement de l'information environnementale - outils statistiques et mathématiques : Jacques Nicolas
Decision-making aid: methods of multicriteria analysis : Jean‑Jacques Boreux
Analyse des systèmes naturels et modélisation : Bernard Tychon
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| Course contents :
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 |  | Traitement de l'information environnementale - outils statistiques et mathématiques |

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 | On the basis of concrete examples drawn from environmental studies
- preparation of data processing (coding, missing data, outliers, computer files)
- selection of data processing method in function of the objectives of the environmental study
- short and concrete presentation of various graphical and mathematical processing tools (filtering, smoothing, harmonic analysis, ...) and of statistical tools (descriptive statistics, regressions, analysis of variance, factor analysis, ...) in the frame of environmental studies
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 |  | Decision-making aid: methods of multicriteria analysis |

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 | This course is an initiation with the decision-making aid seen under the multicriteria analysis standpoint. It begins with some examples and a short history entitled: "Of the aggregation of the votes to the Arrow's theorem". Then, two schools are presented in parallel: the French school with the methods of the type Condorcet (ELECTRE) and the American school with the methods of the type Borda (Composite Programming). Small simple examples make it possible to the student to seize the governing ideas of both methods and to compare them. |
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| Course objective :
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 |  | Traitement de l'information environnementale - outils statistiques et mathématiques |

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 | Leading the student to select a suitable data processing method in the frame of an environmental study and to interpret the results with criticism. |
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 | To understand the bases of the multicriteria analysis and to be able to carry out elementary calculations in EXCEL. |
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| Prerequisites :
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 |  | Traitement de l'information environnementale - outils statistiques et mathématiques |

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 | Descriptive statistics and basic mathematics (logarithm, integral, derivative) |
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 | None. |
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| Workshops :
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 |  | Traitement de l'information environnementale - outils statistiques et mathématiques |

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 | 12 hours of processing of real data in the computer room |
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 | Four to five students set up a group to which the professor proposes a real problem already dealt with. The students must simplify it by reducing the number of criteria and the number of actions. Then, they solve this new problem with the two methods seen with the course. Finally, each group presents its work at the other groups. The spokesman of the group is randomly drawn what implies that all the students must be able to present the work of their own group. |
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| Organization :
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 |  | Traitement de l'information environnementale - outils statistiques et mathématiques |

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 | Lecture : 3 hours-modules
Pratical works : two times 6 hours in the computer room |
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| Written notes :
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 |  | Traitement de l'information environnementale - outils statistiques et mathématiques |

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 | availbable on intranet in html format |
 |  | Decision-making aid: methods of multicriteria analysis |

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 | Available. |
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| Assessment :
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 |  | Traitement de l'information environnementale - outils statistiques et mathématiques |

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 | the 6 last hours of practical works are based on the study of a real life environmental example and are evaluated |
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 | By group with individualization of the note at the time of the part answers questions. |
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| Contacts :
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 |  | Traitement de l'information environnementale - outils statistiques et mathématiques |

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 | j.nicolas@ulg.ac.be |
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| Remarks :
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 |  | Decision-making aid: methods of multicriteria analysis |

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 | The students who have a laptop are invited to carry it with the course. |
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