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Author : Jan T. A. Koster
Publisher :
ISBN 13 :
Total Pages : 148 pages
Book Rating : 4.F/5 ( download)
Download or read book Mathematical Aspects of Multiple Correspondence Analysis for Ordinal Variables written by Jan T. A. Koster and published by . This book was released on 1989 with total page 148 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Shizuhiko Nishisato
Publisher : Springer Nature
ISBN 13 : 981992295X
Total Pages : 214 pages
Book Rating : 4.8/5 (199 download)
Download or read book Measurement, Mathematics and New Quantification Theory written by Shizuhiko Nishisato and published by Springer Nature. This book was released on 2023-06-12 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of this book is to thoroughly prepare diverse areas of researchers in quantification theory. As is well known, quantification theory has attracted the attention of a countless number of researchers, some mathematically oriented and others not, but all of them are experts in their own disciplines. Quantifying non-quantitative (qualitative) data requires a variety of mathematical and statistical strategies, some of which are quite complicated. Unlike many books on quantification theory, the current book places more emphasis on preliminary requisites of mathematical tools than on details of quantification theory. As such, the book is primarily intended for readers whose specialty is outside mathematical sciences. The book was designed to offer non-mathematicians a variety of mathematical tools used in quantification theory in simple terms. Once all the preliminaries are fully discussed, quantification theory is then introduced in the last section as a simple application of those mathematical procedures fully discussed so far. The book opens up further frontiers of quantification theory as simple applications of basic mathematics.
Author : Shizuhiko Nishisato
Publisher : Psychology Press
ISBN 13 : 1317781937
Total Pages : 379 pages
Book Rating : 4.3/5 (177 download)
Download or read book Elements of Dual Scaling written by Shizuhiko Nishisato and published by Psychology Press. This book was released on 2014-04-04 with total page 379 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantification methodology of categorical data is a popular topic in many branches of science. Most books, however, are either too advanced for those who need it, or too elementary to gain insight into its potential. This book fills the gap between these extremes, and provides specialists with an easy and comprehensive reference, and others with a complete treatment of dual scaling methodology -- starting with motivating examples, followed by an introductory discussion of necessary quantitative skills, and ending with different perpsectives on dual scaling with examples, advanced topics, and future possibilities. This book attempts to successively upgrade readers' readiness for handling analysis of qualitative, categorical, and non-metric data, without overloading them. The writing style is very friendly, and difficult topics are always accompanied by simple illlustrative examples. There are a number of topics on dual scaling which were previously addressed only in journal articles or in publications that are not readily available. Integration of these topics into the standard framework makes the current book unique, and its extensive coverage of relevant topics is unprecedented. This book will serve as both reference and textbook for all those who want to analyze categorical data effectively.
Author : Brigitte Le Roux
Publisher : SAGE
ISBN 13 : 1412968976
Total Pages : 129 pages
Book Rating : 4.4/5 (129 download)
Download or read book Multiple Correspondence Analysis written by Brigitte Le Roux and published by SAGE. This book was released on 2010 with total page 129 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Requiring no prior knowledge of correspondence analysis, this text provides anontechnical introduction to Multiple Correspondence Analysis (MCA) as a method in its own right. The authors, Brigitte Le Roux and Henry Rouanet, present the material in a practical manner, keeping the needs of researchers foremost in mind." "This supplementary text isappropriate for any graduate-level, intermediate, or advanced statistics course across the social and behavioral sciences, as well as forindividual researchers." --Book Jacket.
Author : Shizuhiko Nishisato
Publisher : Springer Nature
ISBN 13 : 9811624704
Total Pages : 231 pages
Book Rating : 4.8/5 (116 download)
Download or read book Modern Quantification Theory written by Shizuhiko Nishisato and published by Springer Nature. This book was released on 2021-07-22 with total page 231 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a new look at well-established quantification theory for categorical data, referred to by such names as correspondence analysis, dual scaling, optimal scaling, and homogeneity analysis. These multiple identities are a consequence of its large number of properties that allow one to analyze and visualize the strength of variable association in an optimal solution. The book contains modern quantification theory for analyzing the association between two and more categorical variables in a variety of applicative frameworks. Visualization has attracted much attention over the past decades and given rise to controversial opinions. One may consider variations of plotting systems used in the construction of the classic correspondence plot, the biplot, the Carroll-Green-Schaffer scaling, or a new approach in doubled multidimensional space as presented in the book. There are even arguments for no visualization at all. The purpose of this book therefore is to shed new light on time-honored graphical procedures with critical reviews, new ideas, and future directions as alternatives. This stimulating volume is written with fresh new ideas from the traditional framework and the contemporary points of view. It thus offers readers a deep understanding of the ever-evolving nature of quantification theory and its practice. Part I starts with illustrating contingency table analysis with traditional joint graphical displays (symmetric, non-symmetric) and the CGS scaling and then explores logically correct graphs in doubled Euclidean space for both row and column variables. Part II covers a variety of mathematical approaches to the biplot strategy in graphing a data structure, providing a useful source for this modern approach to graphical display. Part II is also concerned with a number of alternative approaches to the joint graphical display such as bimodal cluster analysis and other statistical problems relevant to quantification theory.
Author : Shizuhiko Nishisato
Publisher : CRC Press
ISBN 13 : 1420011200
Total Pages : 329 pages
Book Rating : 4.4/5 (2 download)
Download or read book Multidimensional Nonlinear Descriptive Analysis written by Shizuhiko Nishisato and published by CRC Press. This book was released on 2006-06-26 with total page 329 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantification of categorical, or non-numerical, data is a problem that scientists face across a wide range of disciplines. Exploring data analysis in various areas of research, such as the social sciences and biology, Multidimensional Nonlinear Descriptive Analysis presents methods for analyzing categorical data that are not necessarily sam
Author : Eric J. Beh
Publisher : John Wiley & Sons
ISBN 13 : 1119041945
Total Pages : 78 pages
Book Rating : 4.1/5 (19 download)
Download or read book An Introduction to Correspondence Analysis written by Eric J. Beh and published by John Wiley & Sons. This book was released on 2021-03-29 with total page 78 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Johs. Hjellbrekke
Publisher : Routledge
ISBN 13 : 1315516241
Total Pages : 118 pages
Book Rating : 4.3/5 (155 download)
Download or read book Multiple Correspondence Analysis for the Social Sciences written by Johs. Hjellbrekke and published by Routledge. This book was released on 2018-06-18 with total page 118 pages. Available in PDF, EPUB and Kindle. Book excerpt: Multiple correspondence analysis (MCA) is a statistical technique that first and foremost has become known through the work of the late Pierre Bourdieu (1930–2002). This book will introduce readers to the fundamental properties, procedures and rules of interpretation of the most commonly used forms of correspondence analysis. The book is written as a non-technical introduction, intended for the advanced undergraduate level and onwards. MCA represents and models data sets as clouds of points in a multidimensional Euclidean space. The interpretation of the data is based on these clouds of points. In seven chapters, this non-technical book will provide the reader with a comprehensive introduction and the needed knowledge to do analyses on his/her own: CA, MCA, specific MCA, the integration of MCA and variance analysis, of MCA and ascending hierarchical cluster analysis and class-specific MCA on subgroups. Special attention will be given to the construction of social spaces, to the construction of typologies and to group internal oppositions. This is a book on data analysis for the social sciences rather than a book on statistics. The main emphasis is on how to apply MCA to the analysis of practical research questions. It does not require a solid understanding of statistics and/or mathematics, and provides the reader with the needed knowledge to do analyses on his/her own.
Author : Michael Greenacre
Publisher : CRC Press
ISBN 13 : 1420011316
Total Pages : 607 pages
Book Rating : 4.4/5 (2 download)
Download or read book Multiple Correspondence Analysis and Related Methods written by Michael Greenacre and published by CRC Press. This book was released on 2006-06-23 with total page 607 pages. Available in PDF, EPUB and Kindle. Book excerpt: As a generalization of simple correspondence analysis, multiple correspondence analysis (MCA) is a powerful technique for handling larger, more complex datasets, including the high-dimensional categorical data often encountered in the social sciences, marketing, health economics, and biomedical research. Until now, however, the literature on the su
Author : Eric J. Beh
Publisher : John Wiley & Sons
ISBN 13 : 1118762908
Total Pages : 646 pages
Book Rating : 4.1/5 (187 download)
Download or read book Correspondence Analysis written by Eric J. Beh and published by John Wiley & Sons. This book was released on 2014-09-04 with total page 646 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 non-symmetric relationship between two or more categorical variables). Extensive treatment of many of the members of the correspondence analysis family for two-way, three-way 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.
Author : C.M. Cuadras
Publisher : Elsevier
ISBN 13 : 148329756X
Total Pages : 505 pages
Book Rating : 4.4/5 (832 download)
Download or read book Multivariate Analysis: Future Directions 2 written by C.M. Cuadras and published by Elsevier. This book was released on 2014-05-21 with total page 505 pages. Available in PDF, EPUB and Kindle. Book excerpt: The contributions in this volume, made by distinguished statisticians in several frontier areas of research in multivariate analysis, cover a broad field and indicate future directions of research. The topics covered include discriminant analysis, multidimensional scaling, categorical data analysis, correspondence analysis and biplots, association analysis, latent variable models, bootstrap distributions, differential geometry applications and others. Most of the papers propose generalizations or new applications of multivariate analysis. This volume will be of great interest to statisticians, probabilists, data analysts and scientists working in the disciplines such as biology, biometry, ecology, medicine, econometry, psychometry and marketing. It will be a valuable guide to professors, researchers and graduate students seeking new and promising lines of statistical research.
Author : Henk A. L. Kiers
Publisher :
ISBN 13 :
Total Pages : 202 pages
Book Rating : 4.F/5 ( download)
Download or read book Three-way Methods for the Analysis of Qualitative and Quantitative Two-way Data written by Henk A. L. Kiers and published by . This book was released on 1989 with total page 202 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Patrick J. F. Groenen
Publisher :
ISBN 13 :
Total Pages : 178 pages
Book Rating : 4.3/5 (21 download)
Download or read book The Majorization Approach to Multidimensional Scaling written by Patrick J. F. Groenen and published by . This book was released on 1993 with total page 178 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Alboukadel KASSAMBARA
Publisher : STHDA
ISBN 13 : 1975721136
Total Pages : 171 pages
Book Rating : 4.9/5 (757 download)
Download or read book Practical Guide To Principal Component Methods in R written by Alboukadel KASSAMBARA and published by STHDA. This book was released on 2017-08-23 with total page 171 pages. Available in PDF, EPUB and Kindle. Book excerpt: Although there are several good books on principal component methods (PCMs) and related topics, we felt that many of them are either too theoretical or too advanced. This book provides a solid practical guidance to summarize, visualize and interpret the most important information in a large multivariate data sets, using principal component methods in R. The visualization is based on the factoextra R package that we developed for creating easily beautiful ggplot2-based graphs from the output of PCMs. This book contains 4 parts. Part I provides a quick introduction to R and presents the key features of FactoMineR and factoextra. Part II describes classical principal component methods to analyze data sets containing, predominantly, either continuous or categorical variables. These methods include: Principal Component Analysis (PCA, for continuous variables), simple correspondence analysis (CA, for large contingency tables formed by two categorical variables) and Multiple CA (MCA, for a data set with more than 2 categorical variables). In Part III, you'll learn advanced methods for analyzing a data set containing a mix of variables (continuous and categorical) structured or not into groups: Factor Analysis of Mixed Data (FAMD) and Multiple Factor Analysis (MFA). Part IV covers hierarchical clustering on principal components (HCPC), which is useful for performing clustering with a data set containing only categorical variables or with a mixed data of categorical and continuous variables.
Author : Shizuhiko Nishisato
Publisher : Cambridge Scholars Publishing
ISBN 13 : 1036412989
Total Pages : 275 pages
Book Rating : 4.0/5 (364 download)
Download or read book Optimal Analysis of Qualitative Data with Illustrations written by Shizuhiko Nishisato and published by Cambridge Scholars Publishing. This book was released on 2024-09-13 with total page 275 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is an introductory book on how to optimally analyze non-quantitative data, based on the author’s experiences over 60 years of research. The major message to the readers is that qualitative (non-quantitative) data are much more informative than quantitative data. This is good news for readers in applied areas of statistics such as those in the social sciences and marketing research, where qualitative data are everywhere. But how can one analyze qualitative data quantitatively and extract more information than from the sophisticated analysis of quantitative data? The key rests in illustrations of difficult topics in a way that anyone can understand. It is the author’s wish soon the use of AI will open a gate for simple means for optimal analysis of qualitative data, as illustrated throughout the book.
Author : Harry J. Khamis
Publisher : SAGE
ISBN 13 : 1452238952
Total Pages : 137 pages
Book Rating : 4.4/5 (522 download)
Download or read book The Association Graph and the Multigraph for Loglinear Models written by Harry J. Khamis and published by SAGE. This book was released on 2011-01-12 with total page 137 pages. Available in PDF, EPUB and Kindle. Book excerpt: This practical guide teaches nonstatisticians how to analyze and interpret loglinear models using the multigraph The Association Graph and the Multigraph for Loglinear Models will help students, particularly those studying the analysis of categorical data, to develop the ability to evaluate and unravel even the most complex loglinear models without heavy calculations or statistical software. This supplemental text reviews loglinear models, explains the association graph, and introduces the multigraph to students who may have little prior experience of graphical techniques, but have some familiarity with categorical variable modeling. The author presents logical step-by-step techniques from the point of view of the practitioner, focusing on how the technique is applied to contingency table data and how the results are interpreted.
Author : Wes Bonifay
Publisher : SAGE Publications
ISBN 13 : 1506384269
Total Pages : 153 pages
Book Rating : 4.5/5 (63 download)
Download or read book Multidimensional Item Response Theory written by Wes Bonifay and published by SAGE Publications. This book was released on 2019-12-10 with total page 153 pages. Available in PDF, EPUB and Kindle. Book excerpt: Several decades of psychometric research have led to the development of sophisticated models for multidimensional test data, and in recent years, multidimensional item response theory (MIRT) has become a burgeoning topic in psychological and educational measurement. Considered a cutting-edge statistical technique, the methodology underlying MIRT can be complex, and therefore doesn’t receive much attention in introductory IRT courses. However author Wes Bonifay shows how MIRT can be understood and applied by anyone with a firm grounding in unidimensional IRT modeling. His volume includes practical examples and illustrations, along with numerous figures and diagrams. Multidimensional Item Response Theory includes snippets of R code interspersed throughout the text (with the complete R code included on an accompanying website) to guide readers in exploring MIRT models, estimating the model parameters, generating plots, and implementing the various procedures and applications discussed throughout the book.
