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Eric J. Beh - An Introduction to Correspondence Analysis

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Master the fundamentals of correspondence analysis with this illuminating resource

An Introduction to Correspondence Analysis assists researchers in improving their familiarity with the concepts, terminology, and application of several variants of correspondence analysis. The accomplished academics and authors deliver a comprehensive and insightful treatment of the fundamentals of correspondence analysis, including the statistical and visual aspects of the subject.

Written in three parts, the book begins by offering readers a description of two variants of correspondence analysis that can be applied to two-way contingency tables for nominal categories of variables. Part Two shifts the discussion to categories of ordinal variables and demonstrates how the ordered structure of these variables can be incorporated into a correspondence analysis. Part Three describes the analysis of multiple nominal categorical variables, including both multiple correspondence analysis and multi-way correspondence analysis.

Readers will benefit from explanations of a wide variety of specific topics, for example:

  • Simple correspondence analysis, including how to reduce multidimensional space, measuring symmetric associations with the Pearson Ratio, constructing low-dimensional displays, and detecting statistically significant points
  • Non-symmetrical correspondence analysis, including quantifying asymmetric associations
  • Simple ordinal correspondence analysis, including how to decompose the Pearson Residual for ordinal variables
  • Multiple correspondence analysis, including crisp coding and the indicator matrix, the Burt Matrix, and stacking
  • Multi-way correspondence analysis, including symmetric multi-way analysis

Perfect for researchers who seek to improve their understanding of key concepts in the graphical analysis of categorical data, An Introduction to Correspondence Analysis will also assist readers already familiar with correspondence analysis who wish to review the theoretical and foundational underpinnings of crucial concepts.

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Table of Contents List of Tables Chapter 1 Chapter 2 Chapter 3 Chapter - photo 1
Table of Contents
List of Tables
  1. Chapter 1
  2. Chapter 2
  3. Chapter 3
  4. Chapter 4
  5. Chapter 5
  6. Chapter 6
  7. Chapter 7
List of Illustrations
  1. Chapter 2
  2. Chapter 3
  3. Chapter 4
  4. Chapter 5
  5. Chapter 6
  6. Chapter 7
Guide
Pages
Wiley Series in Probability and Statistics

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This series provides essential and invaluable reading for all statisticians, whether in academia, industry, government, or research.

A complete list of titles in this series can be found at
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An Introduction to Correspondence Analysis

Eric J. Beh

School of Mathematical & Physical Sciences,

University of Newcastle, Australia

Rosaria Lombardo

Department of Economics,

University of Campania Luigi Vanvitelli, Italy

An Introduction to Correspondence Analysis - image 2

This edition first published 2021

2021 John Wiley and Sons Ltd

All rights reserved. No part of this publication may be reproduced, stored in a retrieval system, or transmitted, in any form or by any means, electronic, mechanical, photocopying, recording or otherwise, except as permitted by law. Advice on how to obtain permission to reuse material from this title is available at http://www.wiley.com/go/permissions.

The right of Eric J. Beh and Rosaria Lombardo to be identified as the authors of this work has been asserted in accordance with law.

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The contents of this work are intended to further general scientific research, understanding, and discussion only and are not intended and should not be relied upon as recommending or promoting scientific method, diagnosis, or treatment by physicians for any particular patient. In view of ongoing research, equipment modifications, changes in governmental regulations, and the constant flow of information relating to the use of medicines, equipment, and devices, the reader is urged to review and evaluate the information provided in the package insert or instructions for each medicine, equipment, or device for, among other things, any changes in the instructions or indication of usage and for added warnings and precautions. While the publisher and authors have used their best efforts in preparing this work, they make no representations or warranties with respect to the accuracy or completeness of the contents of this work and specifically disclaim all warranties, including without limitation any implied warranties of merchantability or fitness for a particular purpose. No warranty may be created or extended by sales representatives, written sales materials or promotional statements for this work. The fact that an organization, website, or product is referred to in this work as a citation and/or potential source of further information does not mean that the publisher and authors endorse the information or services the organization, website, or product may provide or recommendations it may make. This work is sold with the understanding that the publisher is not engaged in rendering professional services. The advice and strategies contained herein may not be suitable for your situation. You should consult with a specialist where appropriate. Further, readers should be aware that websites listed in this work may have changed or disappeared between when this work was written and when it is read. Neither the publisher nor authors shall be liable for any loss of profit or any other commercial damages, including but not limited to special, incidental, consequential, or other damages.

Library of Congress Cataloging-in-Publication Data

Names: Beh, Eric J., author. | Lombardo, Rosaria, author.

Title: An introduction to correspondence analysis / Eric J. Beh, Rosaria Lombardo.

Description: Hoboken, NJ : Wiley, 2021. | Includes bibliographical references and index.

Identifiers: LCCN 2020034475 (print) | LCCN 2020034476 (ebook) | ISBN 9781119041948 (cloth) | ISBN 9781119041962 (adobe pdf) | ISBN 9781119041979 (epub)

Subjects: LCSH: Correspondence analysis (Statistics)

Classification: LCC QA278.5 .B43 2021 (print) | LCC QA278.5 (ebook) | DDC 519.5/37dc23

LC record available at https://lccn.loc.gov/2020034475

LC ebook record available at https://lccn.loc.gov/2020034476

Cover Design: Wiley

Cover Image: Giovanna Lombardo, p.zza Giovanni XXIII, Castellammare di Stabia (NA) Italy

To Rosey and Alex

To Donato, Renato and Andrea

for your patience, support and always being there

Eric J. Beh & Rosaria Lombardo

In memory of two pioneers

Jean-Paul Benzecri (19322019)

and

John Clifford Gower (19302019)

May your legacy live on

Preface

In the late 2000s we embarked on a rather ambitious project to write a book that covered an extensive array of topics on correspondence analysis. This work resulted in the publication in 2014 of Correspondence Analysis: Theory, Practice and New Strategies. The attempt in that book was to provide a comprehensive technical, computational, theoretical and practical description of a variety of correspondence analysis techniques. These focused largely on the analysis of nominal and ordinal categorical variables with a symmetric and asymmetric association structure. We not only described these techniques for two variables but also discussed how they can be used and adapted for analysing multiple categorical variable.

Irrespective of the benefits and faults of that book, we attempted to give an extensive number of different perspectives. While our general flavour may be more in line with the French approach to correspondence analysis we also tried to approach our discussion by incorporating the British/American conventions of categorical data analysis commonly seen throughout the world. A priority we had was to not just provide a synthesis of a broad amount of the correspondence analysis literature from all around the world but to also discuss the role that the origin of categorical data analysis had on the development of correspondence analysis.

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