Book description
A comprehensive overview of the internationalisation of correspondence analysis
Correspondence Analysis: Theory, Practice and New Strategies examines the key issues of correspondence analysis, and discusses the new advances that have been made over the last 20 years.
The main focus of this book is to provide a comprehensive discussion of some of the key technical and practical aspects of correspondence analysis, and to demonstrate how they may be put to use. Particular attention is given to the history and mathematical links of the developments made. These links include not just those major contributions made by researchers in Europe (which is where much of the attention surrounding correspondence analysis has focused) but also the important contributions made by researchers in other parts of the world.
Key features include:
A comprehensive international perspective on the key developments of correspondence analysis.
Discussion of correspondence analysis for nominal and ordinal categorical data.
Discussion of correspondence analysis of contingency tables with varying association structures (symmetric and nonsymmetric relationship between two or more categorical variables).
Extensive treatment of many of the members of the correspondence analysis family for twoway, threeway and multiple contingency tables.
Correspondence Analysis offers a comprehensive and detailed overview of this topic which will be of value to academics, postgraduate students and researchers wanting a better understanding of correspondence analysis. Readers interested in the historical development, internationalisation and diverse applicability of correspondence analysis will also find much to enjoy in this book.
Table of contents
 Cover
 Wiley Series in Probability and Statistics
 Title Page
 Copyright
 Dedication
 Foreword
 Preface
 Part One: Introduction

Part Two: Correspondence Analysis of TwoWay 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 EigenDecomposition
 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 Decomposition
 3.11 Hybrid Decomposition
 3.12 R Code
 3.13 A Preliminary Graphical Summary
 3.14 Analysis of Analgesic Drugs
 References

Chapter 4: Simple Correspondence Analysis
 4.1 Introduction
 4.2 Notation
 4.3 Measuring Departures from Complete Independence
 4.4 Decomposing the Pearson Ratio
 4.5 Coordinate Systems
 4.6 Distances
 4.7 Transition Formulae
 4.8 Moments of the Principal Coordinates
 4.9 How Many Dimensions to Use?
 4.10 R Code
 4.11 Other Theoretical Issues
 4.12 Some Applications of Correspondence Analysis
 4.13 Analysis of a Mother's Attachment to Her Child
 References

Chapter 5: NonSymmetrical Correspondence Analysis
 5.1 Introduction
 5.2 The Goodman–Kruskal Tau Index
 5.3 NonSymmetrical Correspondence Analysis
 5.4 The Coordinate Systems
 5.5 Transition Formulae
 5.6 Moments of the Principal Coordinates
 5.7 The Distances
 5.8 Comparison with Simple Correspondence Analysis
 5.9 R Code
 5.10 Analysis of a Mother's Attachment to Her Child
 References
 Chapter 6: Ordered Correspondence Analysis

Chapter 7: Ordered NonSymmetrical Correspondence Analysis
 7.1 Introduction
 7.2 General Considerations
 7.3 Doubly Ordered NonSymmetrical Correspondence Analysis
 7.4 Singly Ordered NonSymmetrical Correspondence Analysis
 7.5 Coordinate Systems for Ordered NonSymmetrical Correspondence Analysis
 7.6 Tests of Asymmetric Association
 7.7 Distances in Ordered NonSymmetrical Correspondence Analysis
 7.8 Doubly Ordered NonSymmetrical Correspondence of Asbestos Data
 7.9 Singly Ordered NonSymmetrical Correspondence Analysis of Drug Data
 7.10 R Code for Ordered NonSymmetrical Correspondence Analysis
 References

Chapter 8: External Stability and Confidence Regions
 8.1 Introduction
 8.2 On the Statistical Significance of a Point
 8.3 Circular Confidence Regions for Classical Correspondence Analysis
 8.4 Elliptical Confidence Regions for Classical Correspondence Analysis
 8.5 Confidence Regions for NonSymmetrical Correspondence Analysis
 8.6 Approximate pValues and Classical Correspondence Analysis
 8.7 Approximate pValues and NonSymmetrical Correspondence Analysis
 8.8 Bootstrap Elliptical Confidence Regions
 8.9 Ringrose's Bootstrap Confidence Regions
 8.10 Confidence Regions and Selikoff's Asbestos Data
 8.11 Confidence Regions and Mother–Child Attachment Data
 8.12 R Code
 References
 Chapter 9: Variants of Correspondence Analysis

Chapter 3: Methods of Decomposition

Part Three: Correspondence Analysis of MultiWay Contingency Tables

Chapter 10: Coding and Multiple Correspondence Analysis
 10.1 Introduction to Coding
 10.2 Coding Data
 10.3 Coding Ordered Categorical Variables by Orthogonal Polynomials
 10.4 Burt Matrix
 10.5 An Introduction to Multiple Correspondence Analysis
 10.6 Multiple Correspondence Analysis
 10.7 Variants of Multiple Correspondence Analysis
 10.8 Ordered Multiple Correspondence Analysis
 10.9 Applications
 10.10 R Code
 References

Chapter 11: Symmetrical and NonSymmetrical ThreeWay Correspondence Analysis
 11.1 Introduction
 11.2 Notation
 11.3 Symmetric and Asymmetric Association in ThreeWay Contingency Tables
 11.4 Partitioning ThreeWay Measures of Association
 11.5 Formal Tests of Predictability
 11.6 Tucker3 Decomposition for ThreeWay Tables
 11.7 Correspondence Analysis of ThreeWay Contingency Tables
 11.8 Modelling of Partial and Marginal Dependence
 11.9 Graphical Representation
 11.10 On the Application of Partitions
 11.11 On the Application of ThreeWay Correspondence Analysis
 11.12 R Code
 References

Chapter 10: Coding and Multiple Correspondence Analysis
 Part Four: The Computation of Correspondence Analysis
 Index
 End User License Agreement
Product information
 Title: Correspondence Analysis: Theory, Practice and New Strategies
 Author(s):
 Release date: November 2014
 Publisher(s): Wiley
 ISBN: 9781119953241
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