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Utbildnings- och kultursociologi
Sociology of Education and Culture at Uppsala University



Printout from the site SEC (Sociology of Education and Culture) at Uppsala University
 URL of this page is www.skeptron.uu.se/ broady/sec/k-25.gda.htm 

 

Geometric Data Analysis in Educational Research

Graduate course (forskarutbildningskurs), Nov 5th 2025 – Jan 18th, 2026 , 7,5 credits

This annual GDA course is mainly given online but also comprising intense campus sessions, this year five days 24th – 28th November in Paris at ENS Paris-Saclay.

Arranged by SEC (Sociology of Education and Culture), Uppsala University, this year within the framework of QRM – School of Quantitative Research Methods in Education, https://www.gu.se/en/qrm. (QRM is a collaboration between Gothenburg University, Umeå University and Uppsala University.)

The course gives a general introduction to basic mathematics of geometrical data analysis, comprising of, for example, Correspondence Analysis, Multiple Correspondence Analysis and Euclidean Cluster Analysis. The course will also exemplify and discuss how these methods can be applied to studies in the Educational Sciences, the Social Sciences and the Humanities, and contains practical training in the art of performing Geometric Data Analysis with the softwares SPAD and R.

For information contact the course coordinator Tobias Dalberg <tobias.dalberg@edu.uu.se>

General information
Admission
Course coordinator and teachers
On the French guest teachers
Syllabus
Schedule
Literature


General information

Language: English

The course is offered to researchers, PhD-students and Master students.

Also those who have attended our earlier courses on Geometric Data Analysis (GDA) and correspondence analysis are welcome to participate in this one. New stuff will be offered.

Course materials will be available at this web page.

Each participant is supposed to bring a laptop with the statistical programme R and SPAD (when needed, you will get a trial version for the course a few days in advance) installed. Make sure that you have some amount of disk space available. If this causes difficulties, please contact the course coordinator in advance.

We recommend the use of the most recent version of the SPAD software,
see http://www.coheris.com/produits/analytics/logiciel-data-mining/
This version includes special features (i.a. specific MCA as well as tools for the construction of concentration and confidence ellipses) developed by Brigitte Le Roux et al.

Early on the participants will receive information on how to download and install SPAD on their laptops.


Admission

To apply for admission send an e-mail to Tobias Dalberg <tobias.dalberg@edu.uu.se>.
Attach information on your credentials and on your motives for taking the course.
Restricted number of places.


Course coordinator and teachers

Course coordinator and main teacher:
Tobias Dalberg <tobias.dalberg@edu.uu.se>, SEC (Sociology of Education and Culture), Uppsala universitet.

Other teachers:
Brigitte Le Roux, CEVIPOF/CNRS (Centre de recherches politiques de Sciences Po), and Université René Descartes, Paris — Web site
Philippe Bonnet, Université René Descartes, Paris
Frédéric Lebaron, Professeur, le département de sciences sociales, l’Ecole normale supérieure Paris-Saclay (ENS Cachan). — Web site
Lucas Page Pereira, postdoc, le département de sciences sociales, l’Ecole normale supérieure Paris-Saclay (ENS Cachan).

Admin.:
Ashley Haru <ashley.haru@edu.uu.se>, project coordonator, Uppsala University, +46 (0) 76 778 82 98.


On the French teachers

The mathematician Brigitte Le Roux is an associate researcher at CEVIPOF/CNRS (Centre de recherches politiques de Sciences Po), and also since many years affiliated to the laboratory of Applied Mathematics (MAP5/CNRS and l'Université Paris Descartes).

She did complete her doctoral dissertation with J.-P. Benzécri and has written several books with the late Henry Rouanet. Among the books written by Brigitte Le Roux and Henry Rouanet are the standard work Geometric Data Analysis. From Correspondence Analysis to Structured Data Analysis (Kluwer, 2004) and Multiple Correspondence Analysis (Sage, 2010)

Today Brigitte Le Roux is world leading specialist in the French "analyse des données" tradition. This statistical tradition, founded by Jean-Paul Benzécri in the 1960's and the 1970's, has in recent years often been called "Geometric Data Analysis." It includes methods such as Correspondence Analysis (CA), Multiple Correspondence Analysis (MCA) and versions of Euclidean Classification. In the social sciences the most well-known application is multiple correspondence analyses of the distribution of individuals and properties within "social fields" in Bourdieu's sense, but the tradition has much more to offer.

Brigitte Le Roux and Henry Rouanet have not only been the most prominent trustees of Jean-Paul Benzécri's scholarly heritage. They have also made significant contributions of their own—such as "specific multiple correspondence analysis" and the visualisation programme EyeLID—that are used in current research, particularly by social scientists inspired by the works by Pierre Bourdieu and his collaborators. Brigitte Le Roux and Henry Rouanet were among Pierre Bourdieu's close collaborators during his last years and did for example take part in the Bourdieu's last empirical study, on the French field of publishers (reported in Actes, no 126-127, March 1999) where he for the first time made use of the specific multiple correspondence analysis. Outside of  France, Brigitte Le Roux and Henry Rouanet have taken part in studies on lifestyles in the United Kingdom, in the Norwegian study on power and in a series of studies on  Swedish fields of higher education and culture.

Philippe Bonnet, CNRS social psychologist and statistician at the Cognitive Psychology and Neuropsychology Laboratory (LPNCog) of l'Université René Descartes, Paris. For many years a close collaborator of M. Henry Rouanet and Mme Brigitte Le Roux.

Frédéric Lebaron. Depuis septembre 2016 professeur des universités à l’École normale supérieure Paris-Saclay, où il dirige le département de sciences sociales. Il est enseignant à Sciences-Po Saint-Germain-en-Laye depuis septembre 2014 et à l'université Paris-Sorbonne depuis septembre 2017. Il est membre de l'IDHES-Cachan , associé au laboratoire Printemps (UMR CNRS-UVSQ 8085) et au CURAPP-ESS. Frédéric Lebaron a été président de l’Association française de sociologie entre juillet 2015 et juillet 2017. Il est toujours membre du Comité exécutif de l'association.


Syllabus

Syllabus for the graduate course “Geometric Data Analysis in the Educational Sciences”, 7,5 credits

Learning outcomes
The course provides a general introduction to the mathematical basics of geometrical data analysis and an understanding of how these methods can be applied to studies in the educational sciences, the social sciences and the humanities.

After completion of the course students should be able to
• explain basic mathematical premises for geometric data analysis
• use statistical software for geometric data analysis
• carry out geometric data analyses based on empirical data and present the analysis in a proper way
• critically analyse to what studies geometric data analysis can be applied and in what ways geometric data analysis can be best used in specific examples

Content
• Basic mathematical premises for geometric data analysis
• Application of geometric data analysis
• Geometric data analysis in educational sciences, social sciences and humanities

Instruction
The course consists of lectures in mathematics and sociology, and working sessions.

Assessment
The assessment is based on a written assignment which presents a geometric data analysis based on empirical data.


Schedule for the campus week (workshop) 24th – 28th November 2025 at ENS Paris-Saclay

Other lectures and meetings (i.a. webinars) will take place online.

Monday Nov. 24, Paris, ENS Paris-Saclay, MO07.

09:00-09:45 – Welcome & Coffee at the CaféLab of IDHE.S (room 3E24)

10:00-12:00 STATISTICAL LECTURE. Brigitte Le Roux: What is Geometric Data Analysis  (GDA)? Basic Geometric Notions (cloud of points, mean point, variance, and standard deviation). Principal Axes of a Euclidean Cloud..
12.00-13.30 LUNCH

13:30-15:30 – WORK SESSION. Philippe Bonnet & Lucas Page Pereira: Check installation of SPAD, R and other computer components.

16:00-17:30 – SOCIOLOGICAL LECTURE: Mikael Börjesson, Laura Giorio, André Bryntesson, Alexander Kennerley, and Ricardo Cevallos (Uppsala University, Sweden). Current topics in higher education research in Sweden.

17:30-18:30 – Discussion of participants' individual projects with lecturers.

Tuesday – Room MO07

09:00-09:45 - Welcome & Coffee at the CaféLab of IDHE.S (room 3E24)

10:00-12:00 – STATISTICAL LECTURE. Brigitte Le Roux: What is MCA (Multiple Correspondence Analysis)?

13:30-14:30 – MIXED SESSION. Brigitte Le Roux & Frédéric Lebaron: MCA interpretation: methods, challenges and strategies.


14:30-16:00 – WORK SESSION. Philippe Bonnet & Lucas Page Pereira: Running MCA and dressing graphs in SPAD, I.

16:30-18:00 – SOCIOLOGICAL LECTURE: Frédéric Lebaron (ENS Paris-Saclay, France): Using Class Specific Analysis in Prosopographic Research: The Case of the
European Legal Field

Wednesday – Room 3E34

08:20-08:55 - Welcome & Coffee at the CaféLab of IDHE.S (room 3E24)

09:00-10:00 – WORK SESSION. Philippe Bonnet & Lucas Page Pereira: Running MCA and dressing graphs in SPAD, II

10:00-12:00 – STATISTICAL LECTURE. Brigitte Le Roux: Specific MCA, Class-Specific analysis and Structured data analysis.

13:30-16:00 – WORK SESSION. Philippe Bonnet & Lucas Page Pereira. Applying Structured data, Specific and Class-Specific analyses with SPAD.

16:30-18:30 - Discussion of participants' individual projects with lecturers.

Thursday – Room 1X27

08:20-08:50 - Welcome & Coffee at the CaféLab of IDHE.S (room 3E24)

09:00-10:00 – WORK SESSION. Philippe Bonnet & Lucas Page Pereira. Applying Structured data, Specific and Class-Specific analyses with SPAD II.

10:00–11:00 – STATISTICAL LECTURE. Brigitte Le Roux: Euclidean Clustering in GDA.

11:15-12:45 – WORK SESSION. Philippe Bonnet & Lucas Page Pereira: Clustering and dressing graphs in SPAD.

14:00-15:00 – MIXED SESSION. Brigitte Le Roux & Frédéric Lebaron: Interpreting clustering in GDA.

15:30-17:00 – SOCIOLOGICAL LECTURE: Lucas Page Pereira (ENS Paris-Saclay, France). Culture & Cultural hierarchies in France. Methodological and conceptual
challenges

17:00-18:30 - Discussion of participants' individual projects with lecturers.

Friday – Room Dorothy Hodgkin 09:00-09:45 - Welcome & Coffee at the CaféLab of IDHE.S (room 3E24)

10:00–12:00 – STATISTICAL LECTURE. Brigitte Le Roux & Frédéric Lebaron: Combinatorial Inference applied to GDA using the example of the Space of European
Central Bankers.

13:30-15:00 – WORK SESSION. Philippe Bonnet & Lucas Page Pereira: Running Combinatorial Inference in SPAD.

15:30-16h30 – Feedback and Evaluation of the workshop-15.00


Online meetings, after the campus week

Monday, Dec 1, 11.15-12.00, Zoom: Webinar -- digesting the Campus week
Monday, Dec 15, 11.15-12.00, Zoom: Webinar -- critical reading of selected articles
Monday, Dec 22, 11.15-12.00, Zoom: Webinar -- Q&A for final examination task
Sunday, Jan 18, 23.59: DEADLINE FINAL EXAM


Literature

Statistics

Le Roux, Brigitte & Henry Rouanet: Multiple Correspondence Analysis. London: Sage, 2010. Mandatory.

Le Roux, Brigitte & Henry Rouanet: Geometric Data Analysis. From Correspondence Analysis to Structured Data Analysis. Dordrecht: Kluwer Academic, cop. 2004. Mandatory.

Hjellbrekke, Johs., Multiple correspondence analysis for the social sciences, London: Routledge, 2018.

References/Referensverk

Benzécri, J.-P.: L'analyse des données 2 L'analyse des correspondances. Paris: Dunod, 1973

Benzécri, J.-P.: Correspondence Analysis Handbook. New York: Marcel Dekker, 1992

Lebart, Ludovic, Alain Morineau & Kenneth M. Warwick: Multivariate Descriptive Statistical Analysis: Correspondence Analysis and Related Techniques for Large Matrices. New York: Wiley, 1984.

Le Roux, Brigitte: Analyse géométrique des données multidimensionnelles, Dunod, Paris, 2014.

Sociological Applications

Börjesson, Mikael, Donald Broady, Brigitte Le Roux, Ida Lidegran & Mikael Palme: "Cultural Capital in the Elite Subfield of Swedish Higher Education", Poetics. International Review for the Theory of Literature, 2016. http://dx.doi.org/10.1016/j.poetic.2016.02.004

Dalberg, Tobias. ‘Structure and Change in the Field of Mid-Twentieth Century Human Scientists in Sweden’. Empirical Investigations of Social Space, Springer, 2019, pp. 285–303.

Denord, Francois, Johs. Hjellbrekke, Olav Korsnes, Frédéric Lebaron & Brigitte Le Roux: "Social Capital in the Field of Power. The Case of Norway", Sociological Review (Oxford), Vol. 59 (2011) No 1 2009, pp. 86-108.

Forsberg, Håkan: “School competition and social stratification in the deregulated upper secondary school market in Stockholm”, British Journal of Sociology of Education, 39:6, 2018, 891-907.

Hjellbrekke, Johs; et. al.: "The Norwegian Field of Power Anno 2000", European Societies (Taylor & Francis, London), Vol. 9, No 2 2007, pp. 245-273.

Lebaron, Frédéric: "Economists and the Economic Order : The Field of Economists and the Field of Power in France", European Societies (Taylor & Francis, London), Vol. 3, nr. 12001, pp. 91-110.

Le Roux, Brigitte and Henry Rouanet: “Geometric Analysis of Individual Differences.” Chapter 3 in Suppes, Patrick: Individual differences in online and computer-based learning : gifted and other diverse populations, Stanford, CA: Center for the Study of Language and Information, 2013.

Le Roux, Brigitte; Henry Rouanet, Mike Savage & Alan Warde: "Class and Cultural Division in the UK", Sociology. The Journal of the British Sociological Association, Vol. 42 (2008), pp. 1049-1071.

Lidegran, Ida, Börjesson, Mikael, Broady, Donald, & Bergström, Ylva. "High-Octane Educational Capital": The Space of Study Orientations of Upper Secondary School Pupils in Uppsala". In Empirical Investigations of Social Space, Springer, 2019.

Melldahl, Andreas & Mikael Börjesson: "Charting the Social Space. The Case of Sweden in 1990, pp. 135-156 in Coulangeon, Philippe & Julien Duval (eds.): The Routledge companion to Bourdieu’s 'Distinction'. London: Routledge, 2015.

Rouanet, Henry, Werner Ackermann & Brigitte Le Roux: "The Geometric Analysis of Questionnaires. The Lesson of Bourdieu's La Distinction", BMS. Bulletin of Sociological Methodology / Bulletin de Méthodologie Sociologique (Sage Publications), Vol. 65, No. 1 2000, pp. 5-18

Suppes, Patrick: Individual Differences in Online and Computer-Based Learning : Gifted and Other Diverse Populations. Stanford, CA: Center for the Study of Language and Information, 2013. See Chapter 3: Le Roux, Brigitte and Henry Rouanet: "Geometric Analysis of Individual Differences."

Le Roux, Brigitte and Henry Rouanet: Geometric Analysis of Individual Differences, 2003, to be downloaded from EPGY (Educational Program for Gifted Youth), Stanford University, http://epgy.stanford.edu/research/ (36 pages)

– And other articles (100 pages).

 

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