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
| Chapter | Page | |
|---|---|---|
| About the Authors | vii | |
| Series Editor’s Introduction | viii | |
| Acknowledgements | x | |
| 1 | Introduction | 1 |
| 1.1 MCA as a geometric method | 1 | |
| 1.2 Historical landmarks | 2 | |
| 1.3 Bourdieu and statistical data analysis | 4 | |
| 1.4 The Taste example | 5 | |
| 1.5 Methodological points | 10 | |
| 1.6 Organisation of the monograph | 12 | |
| 2 | The Geometry of a Cloud of Points | 14 |
| 2.1 Basic geometric notions | 14 | |
| 2.2 Cloud of points | 16 | |
| 2.3 Subclouds and partitions of a cloud | 20 | |
| 2.4 Contributions | 22 | |
| 2.5 Principal axes of a cloud | 24 | |
| 2.6 From two-dimensional to higher-dimensional clouds | 30 | |
| 2.7 Computation formulas for a weighted cloud in a plane | 32 | |
| 3 | The Method of Multiple Correspondence Analysis | 34 |
| 3.1 Principles of MCA | 34 | |
| 3.2 MCA of the Taste example | 46 | |
| 3.3 Two variants of MCA | 61 | |
| 4 | Structured Data Analysis | 68 |
| 4.1 From supplementary variables to structuring factors | 68 | |
| 4.2 From experimental to observational data | 69 | |
| 4.3 Concentration ellipses | 69 | |
| 4.4 Taste example: study of gender and age | 71 | |
| 5 | Inductive Data Analysis | 81 |
| 5.1 Typicality tests | 82 | |
| 5.2 Homogeneity tests | 85 | |
| 5.3 Confidence ellipses | 89 | |
| 6 | Full-Scale Research Studies | 91 |
| 6.1 The field of publishers in France | 91 | |
| 6.2 The Norwegian field of power | 97 | |
| Appendix | 103 | |
| References | 110 | |
| Index | 113 |
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.