Correspondence analysis: theory, practice and new strategies

"A review of the conventional approaches to correspondence analysis as well as new advances that have been made over the last decade, Correspondence Analysis: Theory, Practice and New Strategies discusses the theoretical and practical issues surrounding correspondence analysis. Examining key adaptations for which correspondence analysis can be used, the text provides students and researchers with a comprehensive link between association measures, graphical depiction of association, ordered categorical variables, and ecological inference issues. The authors present a comprehensive theoretical description of non-symmetrical correspondence analysis"--

"Provides a comprehensive link between association measures, graphical depiction of association, ordered categorical variables and ecological inference issues"--

Wiley Series in Probability and Statistics; Title Page; Copyright; Dedication; Foreword; Preface; Part One: Introduction; Chapter 1: Data Visualisation; 1.1 A Very Brief Introduction to Data Visualisation; 1.2 Data Visualisation for Contingency Tables; 1.3 Other Plots; 1.4 Studying Exposure to Asbestos; 1.5 Happiness Data; 1.6 Correspondence Analysis Now; 1.7 Overview of the Book; 1.8 R Code; References; Chapter 2: Pearson's Chi-Squared Statistic; 2.1 Introduction; 2.2 Pearson's Chi-Squared Statistic; 2.3 The Goodman -- Kruskal Tau Index; 2.4 The 2 × 2 Contingency Table.

2.5 Early Contingency Tables2.6 R Code; References; Part Two: Correspondence Analysis of Two-Way Contingency Tables; Chapter 3: Methods of Decomposition; 3.1 Introduction; 3.2 Reducing Multidimensional Space; 3.3 Profiles and Cloud of Points; 3.4 Property of Distributional Equivalence; 3.5 The Triplet and Classical Reciprocal Averaging; 3.6 Solving the Triplet Using Eigen-Decomposition; 3.7 Solving the Triplet Using Singular Value Decomposition; 3.8 The Generalised Triplet and Reciprocal Averaging; 3.9 Solving the Generalised Triplet Using Gram-Schmidt Process.

3.10 Bivariate Moment Decomposition3.11 Hybrid Deco…