Brigitte Le Roux Français

Multiple Correspondence Analysis

Overview

Multiple Correspondence Analysis is a monograph presenting the geometric foundations of MCA, its application to the analysis of questionnaires and its place within the framework of Geometric Data Analysis (GDA). The book also develops structured data analysis and an introduction to inductive data analysis (typicality tests, homogeneity tests, confidence ellipses).

Authors and Publisher

Brigitte Le Roux, Henry Rouanet — Sage Publications, Thousand Oaks (CA), 2010.
Series: Quantitative Applications in the Social Sciences, no. 163.
Publisher’s page

Table of Contents

ChapterPage
About the Authorsvii
Series Editor’s Introductionviii
Acknowledgementsx
1Introduction1
1.1 MCA as a geometric method1
1.2 Historical landmarks2
1.3 Bourdieu and statistical data analysis4
1.4 The Taste example5
1.5 Methodological points10
1.6 Organisation of the monograph12
2The Geometry of a Cloud of Points14
2.1 Basic geometric notions14
2.2 Cloud of points16
2.3 Subclouds and partitions of a cloud20
2.4 Contributions22
2.5 Principal axes of a cloud24
2.6 From two-dimensional to higher-dimensional clouds30
2.7 Computation formulas for a weighted cloud in a plane32
3The Method of Multiple Correspondence Analysis34
3.1 Principles of MCA34
3.2 MCA of the Taste example46
3.3 Two variants of MCA61
4Structured Data Analysis68
4.1 From supplementary variables to structuring factors68
4.2 From experimental to observational data69
4.3 Concentration ellipses69
4.4 Taste example: study of gender and age71
5Inductive Data Analysis81
5.1 Typicality tests82
5.2 Homogeneity tests85
5.3 Confidence ellipses89
6Full-Scale Research Studies91
6.1 The field of publishers in France91
6.2 The Norwegian field of power97
Appendix103
References110
Index113

Data and Software

Data associated with the monograph are available on the software and data page.

See Also

For the complete catalogue of books, see the Books page. Reviews of the book Geometric Data Analysis (Kluwer, 2004) are listed separately.