1.

Record Nr.

UNINA9910822547203321

Autore

Beh Eric J.

Titolo

Correspondence analysis : theory, practice and new strategies / / Eric Beh, Rosaria Lombardo

Pubbl/distr/stampa

Chichester, England : , : Wiley, , 2014

©2014

ISBN

1-118-76287-8

1-118-76289-4

Descrizione fisica

1 online resource (593 p.)

Collana

Wiley Series in Probability and Statistics

Classificazione

MAT029020

Disciplina

519.5/37

Soggetti

Correspondence analysis (Statistics)

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Description based upon print version of record.

Nota di bibliografia

Includes bibliographical references at the end of each chapters and index.

Nota di contenuto

Correspondence Analysis: Theory, Practice and New Strategies; Contents; Foreword; Preface; Part One: Introduction; 1 Data Visualisation; 1.1 A Very Brief Introduction to Data Visualisation; 1.1.1 A Very Brief History; 1.1.2 Introduction to Visualisation Tools for Numerical Data; 1.1.3 Introduction to Visualisation Tools for Univariate Categorical Data; 1.2 Data Visualisation for Contingency Tables; 1.2.1 Fourfold Displays; 1.3 Other Plots; 1.4 Studying Exposure to Asbestos; 1.4.1 Asbestos and Irving J. Selikoff; 1.4.2 Selikoff's Data; 1.4.3 Numerical Analysis of Selikoff's Data

1.4.4 A Graphical Analysis of Selikoff's Data1.4.5 Classical Correspondence Analysis of Selikoff's Data; 1.4.6 Other Methods of Graphical Analysis; 1.5 Happiness Data; 1.6 Correspondence Analysis Now; 1.6.1 A Bibliographic Taste; 1.6.2 The Increasing Popularity of Correspondence Analysis; 1.6.3 The Growth of the Correspondence Analysis Family Tree; 1.7 Overview of the Book; 1.8 R Code; References; 2 Pearson's Chi-Squared Statistic; 2.1 Introduction; 2.2 Pearson's Chi-Squared Statistic; 2.2.1 Notation; 2.2.2 Measuring the Departure from Independence; 2.2.3 Pearson's Chi-Squared Statistic

2.6.3 The Cressie--Read StatisticReferences; Part Two: Correspondence Analysis of Two-Way Contingency Tables; 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; 3.5.1 One-Dimensional Reciprocal Averaging; 3.5.2 Matrix Form of One-Dimensional Reciprocal Averaging; 3.5.3 M-Dimensional Reciprocal Averaging; 3.5.4 Some Historical Comments; 3.6 Solving the Triplet Using Eigen-Decomposition; 3.6.1 The Decomposition; 3.6.2 Example

3.7 Solving the Triplet Using Singular Value Decomposition3.7.1 The Standard Decomposition; 3.7.2 The Generalised Decomposition; 3.8 The Generalised Triplet and Reciprocal Averaging; 3.9 Solving the Generalised Triplet Using Gram--Schmidt Process; 3.9.1 Ordered Categorical Variables and a priori Scores; 3.9.2 On Finding Orthogonalised Vectors; 3.9.3 A Recurrence Formulae Approach; 3.9.4 Changing the Basis Vector; 3.9.5 Generalised Correlations; 3.10 Bivariate Moment Decomposition; 3.11 Hybrid Decomposition; 3.11.1 An Alternative Singly Ordered Approach; 3.12 R Code

3.12.1 Eigen-Decomposition in R

Sommario/riassunto

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 majo