Exploratory Multivariate Data Analysis
link Source: www.fun-mooc.fr
date_range Starts on March 2, 2019
event_note Ends on May 2, 2019
list 29 sequences
assignment Level : Introductory
chat_bubble_outline Language : English
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About the content

This 3rd edition of the MOOC will start the 4th of March 2019.

Exploratory multivariate data analysis is studied and teached in a French-way since a long time in France. This course focuses on four essential and basic methods, those with the largest potential in terms of applications: principal component analysis (PCA) when variables are quantitative, correspondence analysis (CA) and multiple correspondence analysis (MCA) when variables are categorical and clustering. An extension to Multiple Factor Analysis (MFA) will give you the opportunity to analyse more complex dataset that are structured by groups.

This course is application-oriented; formalism and mathematics writing have been reduced as much as possible while examples and intuition have been emphasized and the numerous exercises done with FactoMineR (a package of the free R software) will make the participant efficient and reliable face to data analysis.

We hope that with this course, the participant will be fully equipped (theory, examples, software) to confront multivariate real-life data.

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This course will be held in English. It has been designed for scientists whose aim is not to become statisticians but who feel the need to analyze the data themselves. It is therefore addressed to practitioners who are confronted with the analysis of data in marketing, surveys, ecology, biology, geography, etc.

An undergraduate level is quite sufficient to capture all the concepts introduced. 

Basic knowledges in statistics are necessary, such as: correlation coefficient, chi-squared test, one-way ANOVA.

On the sofware side, an introduction to the R language is sufficient, at least at first.



  • Data - Practicalities
  • Studying individuals and variables
  • Aids for interpretation
  • PCA in practice using FactoMineR
  • Data - introduction and independence model
  • Visualizing the row and column clouds
  • Inertia and percentage of inertia
  • Simultaneous representation
  • Interpretation aids
  • Correspondance Analysis in practice using FactoMineR
  • Data - issues
  • Visualizing the point cloud of individuals
  • Visualizing the point cloud of categories - simultaneous representation
  • Interpretation aids
  • Multiple Correspondance Analysis in practice using FactoMineR
  • Hierarchical clustering
  • An example, and choosing the number of classes
  • Partitioning methods and other details
  • Characterizing the classes
  • Clustering in practice using FactoMineR
  • Data - issues
  • Balancing groups and choosing a weighting for the variables
  • Studying and visualizing the groups of variables
  • Visualizing the partial points
  • Visualizing the separate analyses
  • Taking into account groups of categorical variables
  • Taking into account contingency tables
  • Interpretation aids
  • Multiple Factor Analysis in practice using FactoMineR


François Husson
Professor of statistics at the Applied Mathematics Department in Agrocampus Ouest (Rennes), François Husson has published several books in French and in English and has developed the R package FactoMineR.

Jérôme Pagès
Professor of statistics at the Applied Mathematics Department in Agrocampus Ouest (Rennes) until 2014. Jérôme Pagès studied and published papers and books in exploratory multivariate data analysis.

Magalie Houée-Bigot
Teaching assistant in statistics at the Applied Mathematics Department in Agrocampus Ouest (Rennes), Magalie Houée-Bigot has developed several packages for the R software and teaches exploratory multivariate data analysis.


Content Designer

Agrocampus Ouest (Rennes)

The Agrocampus Rennes (in French called in full École nationale supérieure agronomique de Rennes, meaning "Higher Institution for agricultural sciences of Rennes") was a French grande école created in 1849, training students mostly in the agronomy and life sciences fields.

In 2008, Agrocampus Rennes was merged with Institut National d'Horticulture et de Paysage, another agricultural sciences school located in western France, to create Agrocampus Ouest.




France Université Numérique is the broadcaster of the online courses of French higher education institutions and their partners.

It operates several platforms of diffusion, of which the best known, FUN MOOC, is the first French-speaking academic platform worldwide. Thanks to many partner institutions, this platform offers a vast catalog of courses enriched daily with various themes and current events.

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