Multidimensional Nonlinear Descriptive Analysis

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Multidimensional Nonlinear Descriptive Analysis

Author : Shizuhiko Nishisato
Publisher : CRC Press
ISBN 13 : 9781584886129
Total Pages : 336 pages
Book Rating : 4.8/5 (861 download)

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Book Synopsis Multidimensional Nonlinear Descriptive Analysis by : Shizuhiko Nishisato

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 336 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 sampled randomly from a normal population and often involve nonlinear relations. This reference not only provides an overview of multidimensional nonlinear descriptive analysis (MUNDA) of discrete data, it also offers new results in a variety of fields. The first part of the book covers conceptual and technical preliminaries needed to understand the data analysis in subsequent chapters. The next two parts contain applications of MUNDA to diverse data types, with each chapter devoted to one type of categorical data, a brief historical comment, and basic skills peculiar to the data types. The final part examines several problems and then concludes with suggestions for future progress. Covering both the early and later years of MUNDA research in the social sciences, psychology, ecology, biology, and statistics, this book provides a framework for potential developments in even more areas of study.

Multidimensional Nonlinear Descriptive Analysis

Author : Shizuhiko Nishisato
Publisher : CRC Press
ISBN 13 : 1420011200
Total Pages : 329 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Multidimensional Nonlinear Descriptive Analysis by : Shizuhiko Nishisato

Nonlinear Principal Component Analysis and Its Applications

Author : Yuichi Mori
Publisher : Springer
ISBN 13 : 9811001596
Total Pages : 87 pages
Book Rating : 4.8/5 (11 download)

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Book Synopsis Nonlinear Principal Component Analysis and Its Applications by : Yuichi Mori

Download or read book Nonlinear Principal Component Analysis and Its Applications written by Yuichi Mori and published by Springer. This book was released on 2016-12-09 with total page 87 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book expounds the principle and related applications of nonlinear principal component analysis (PCA), which is useful method to analyze mixed measurement levels data. In the part dealing with the principle, after a brief introduction of ordinary PCA, a PCA for categorical data (nominal and ordinal) is introduced as nonlinear PCA, in which an optimal scaling technique is used to quantify the categorical variables. The alternating least squares (ALS) is the main algorithm in the method. Multiple correspondence analysis (MCA), a special case of nonlinear PCA, is also introduced. All formulations in these methods are integrated in the same manner as matrix operations. Because any measurement levels data can be treated consistently as numerical data and ALS is a very powerful tool for estimations, the methods can be utilized in a variety of fields such as biometrics, econometrics, psychometrics, and sociology. In the applications part of the book, four applications are introduced: variable selection for mixed measurement levels data, sparse MCA, joint dimension reduction and clustering methods for categorical data, and acceleration of ALS computation. The variable selection methods in PCA that originally were developed for numerical data can be applied to any types of measurement levels by using nonlinear PCA. Sparseness and joint dimension reduction and clustering for nonlinear data, the results of recent studies, are extensions obtained by the same matrix operations in nonlinear PCA. Finally, an acceleration algorithm is proposed to reduce the problem of computational cost in the ALS iteration in nonlinear multivariate methods. This book thus presents the usefulness of nonlinear PCA which can be applied to different measurement levels data in diverse fields. As well, it covers the latest topics including the extension of the traditional statistical method, newly proposed nonlinear methods, and computational efficiency in the methods.

Facets of Behaviormetrics

Author : Akinori Okada
Publisher : Springer Nature
ISBN 13 : 9819922402
Total Pages : 335 pages
Book Rating : 4.8/5 (199 download)

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Book Synopsis Facets of Behaviormetrics by : Akinori Okada

Download or read book Facets of Behaviormetrics written by Akinori Okada and published by Springer Nature. This book was released on 2023-09-17 with total page 335 pages. Available in PDF, EPUB and Kindle. Book excerpt: This edited book is the first one written in English that deals comprehensively with behavior metrics. The term “behaviormetrics” comprehends the research including all sorts of quantitative approaches to disclose human behavior. Researchers in behavior metrics have developed, extended, and improved methods such as multivariate statistical analysis, survey methods, cluster analysis, machine learning, multidimensional scaling, corresponding analysis or quantification theory, network analysis, clustering, factor analysis, test theory, and related factors. In the spirit of behavior metrics, researchers applied these methods to data obtained by surveys, experiments, or websites from a diverse range of fields. The purpose of this book is twofold. One is to represent studies that display how the basic elements of behavior metrics have developed into present-day behavior metrics. The other is to represent studies performed mainly by those who would like to pioneer new fields of behavior metrics and studies that display elements of future behavior metrics. These studies consist of various characteristics such as those dealing with theoretical or conceptual subjects, the algorithm, the model, the method, and the application to a wide variety of fields. This book helps readers to understand the present and future of behavior metrics.

Measurement, Mathematics and New Quantification Theory

Author : Shizuhiko Nishisato
Publisher : Springer Nature
ISBN 13 : 981992295X
Total Pages : 214 pages
Book Rating : 4.8/5 (199 download)

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Book Synopsis Measurement, Mathematics and New Quantification Theory by : Shizuhiko Nishisato

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.

Challenges at the Interface of Data Analysis, Computer Science, and Optimization

Author : Wolfgang A. Gaul
Publisher : Springer Science & Business Media
ISBN 13 : 3642244661
Total Pages : 560 pages
Book Rating : 4.6/5 (422 download)

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Book Synopsis Challenges at the Interface of Data Analysis, Computer Science, and Optimization by : Wolfgang A. Gaul

Download or read book Challenges at the Interface of Data Analysis, Computer Science, and Optimization written by Wolfgang A. Gaul and published by Springer Science & Business Media. This book was released on 2012-02-06 with total page 560 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume provides approaches and solutions to challenges occurring at the interface of research fields such as data analysis, computer science, operations research, and statistics. It includes theoretically oriented contributions as well as papers from various application areas, where knowledge from different research directions is needed to find the best possible interpretation of data for the underlying problem situations. Beside traditional classification research, the book focuses on current interests in fields such as the analysis of social relationships as well as statistical musicology.

An Introduction to Correspondence Analysis

Author : Eric J. Beh
Publisher : John Wiley & Sons
ISBN 13 : 1119041961
Total Pages : 240 pages
Book Rating : 4.1/5 (19 download)

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Book Synopsis An Introduction to Correspondence Analysis by : Eric J. Beh

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 2021-03-19 with total page 240 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.

Correspondence Analysis

Author : Eric J. Beh
Publisher : John Wiley & Sons
ISBN 13 : 1118762908
Total Pages : 646 pages
Book Rating : 4.1/5 (187 download)

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Book Synopsis Correspondence Analysis by : Eric J. Beh

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.

Optimal Quantification and Symmetry

Author : Shizuhiko Nishisato
Publisher : Springer Nature
ISBN 13 : 9811691703
Total Pages : 199 pages
Book Rating : 4.8/5 (116 download)

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Book Synopsis Optimal Quantification and Symmetry by : Shizuhiko Nishisato

Download or read book Optimal Quantification and Symmetry written by Shizuhiko Nishisato and published by Springer Nature. This book was released on 2022-02-21 with total page 199 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a unique new look at the familiar quantification theory from the point of view of mathematical symmetry and spatial symmetry. Symmetry exists in many aspects of our life—for instance, in the arts and biology as an ingredient of beauty and equilibrium, and more importantly, for data analysis as an indispensable representation of functional optimality. This unique focus on symmetry clarifies the objectives of quantification theory and the demarcation of quantification space, something that has never caught the attention of researchers. Mathematical symmetry is well known, as can be inferred from Hirschfeld’s simultaneous linear regressions, but spatial symmetry has not been discussed before, except for what one may infer from Nishisato’s dual scaling. The focus on symmetry here clarifies the demarcation of quantification analysis and makes it easier to understand such a perennial problem as that of joint graphical display in quantification theory. The new framework will help advance the frontier of further developments of quantification theory. Many numerical examples are included to clarify the details of quantification theory, with a focus on symmetry as its operational principle. In this way, the book is useful not only for graduate students but also for researchers in diverse areas of data analysis.

German-Japanese Interchange of Data Analysis Results

Author : Wolfgang Gaul
Publisher : Springer Science & Business Media
ISBN 13 : 3319012649
Total Pages : 267 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis German-Japanese Interchange of Data Analysis Results by : Wolfgang Gaul

Download or read book German-Japanese Interchange of Data Analysis Results written by Wolfgang Gaul and published by Springer Science & Business Media. This book was released on 2013-11-05 with total page 267 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume focuses on innovative approaches and recent developments in clustering, analysis of data and models, and applications: The first part of the book covers a broad range of innovations in the area of clustering, from algorithmic innovations for graph clustering to new visualization and evaluation techniques. The second part addresses new developments in data and decision analysis (conjoint analysis, non-additive utility functions, analysis of asymmetric relationships, and regularization techniques). The third part is devoted to the application of innovative data analysis methods in the life-sciences, the social sciences and in engineering. All contributions in this volume are revised and extended versions of selected papers presented in the German/Japanese Workshops at Karlsruhe (2010) and Kyoto (2012).

The SAGE Handbook of Quantitative Methods in Psychology

Author : Roger E Millsap
Publisher : SAGE
ISBN 13 : 144620667X
Total Pages : 801 pages
Book Rating : 4.4/5 (462 download)

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Book Synopsis The SAGE Handbook of Quantitative Methods in Psychology by : Roger E Millsap

Download or read book The SAGE Handbook of Quantitative Methods in Psychology written by Roger E Millsap and published by SAGE. This book was released on 2009-07-23 with total page 801 pages. Available in PDF, EPUB and Kindle. Book excerpt: `I often... wonder to myself whether the field needs another book, handbook, or encyclopedia on this topic. In this case I think that the answer is truly yes. The handbook is well focused on important issues in the field, and the chapters are written by recognized authorities in their fields. The book should appeal to anyone who wants an understanding of important topics that frequently go uncovered in graduate education in psychology′ - David C Howell, Professor Emeritus, University of Vermont Quantitative psychology is arguably one of the oldest disciplines within the field of psychology and nearly all psychologists are exposed to quantitative psychology in some form. While textbooks in statistics, research methods and psychological measurement exist, none offer a unified treatment of quantitative psychology. The SAGE Handbook of Quantitative Methods in Psychology does just that. Each chapter covers a methodological topic with equal attention paid to established theory and the challenges facing methodologists as they address new research questions using that particular methodology. The reader will come away from each chapter with a greater understanding of the methodology being addressed as well as an understanding of the directions for future developments within that methodological area. Drawing on a global scholarship, the Handbook is divided into seven parts: Part One: Design and Inference: addresses issues in the inference of causal relations from experimental and non-experimental research, along with the design of true experiments and quasi-experiments, and the problem of missing data due to various influences such as attrition or non-compliance. Part Two: Measurement Theory: begins with a chapter on classical test theory, followed by the common factor analysis model as a model for psychological measurement. The models for continuous latent variables in item-response theory are covered next, followed by a chapter on discrete latent variable models as represented in latent class analysis. Part Three: Scaling Methods: covers metric and non-metric scaling methods as developed in multidimensional scaling, followed by consideration of the scaling of discrete measures as found in dual scaling and correspondence analysis. Models for preference data such as those found in random utility theory are covered next. Part Four: Data Analysis: includes chapters on regression models, categorical data analysis, multilevel or hierarchical models, resampling methods, robust data analysis, meta-analysis, Bayesian data analysis, and cluster analysis. Part Five: Structural Equation Models: addresses topics in general structural equation modeling, nonlinear structural equation models, mixture models, and multilevel structural equation models. Part Six: Longitudinal Models: covers the analysis of longitudinal data via mixed modeling, time series analysis and event history analysis. Part Seven: Specialized Models: covers specific topics including the analysis of neuro-imaging data and functional data-analysis.

E-Systems for the 21st Century

Author : Seifedine Kadry
Publisher : CRC Press
ISBN 13 : 1771882646
Total Pages : 472 pages
Book Rating : 4.7/5 (718 download)

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Book Synopsis E-Systems for the 21st Century by : Seifedine Kadry

Download or read book E-Systems for the 21st Century written by Seifedine Kadry and published by CRC Press. This book was released on 2019-07-10 with total page 472 pages. Available in PDF, EPUB and Kindle. Book excerpt: E-based systems and computer networks are becoming standard practice across all sectors, including health, engineering, business, education, security, and citizen interaction with local and national government. With contributions from researchers and practitioners from around the world, this two-volume book discusses and reports on new and important developments in the field of e-systems, covering a wide range of current issues in the design, engineering, and adoption of e-systems.

Modern Quantification Theory

Author : Shizuhiko Nishisato
Publisher : Springer Nature
ISBN 13 : 9811624704
Total Pages : 231 pages
Book Rating : 4.8/5 (116 download)

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Book Synopsis Modern Quantification Theory by : Shizuhiko Nishisato

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.

Quantitative Psychology

Author : L. Andries van der Ark
Publisher : Springer
ISBN 13 : 3319562940
Total Pages : 419 pages
Book Rating : 4.3/5 (195 download)

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Book Synopsis Quantitative Psychology by : L. Andries van der Ark

Download or read book Quantitative Psychology written by L. Andries van der Ark and published by Springer. This book was released on 2017-06-06 with total page 419 pages. Available in PDF, EPUB and Kindle. Book excerpt: This proceedings volume compiles and expands on selected and peer reviewed presentations given at the 81st Annual Meeting of the Psychometric Society (IMPS), organized by the University of North Carolina at Greensboro, and held in Asheville, North Carolina, July 11th to 17th, 2016. IMPS is one of the largest international meetings focusing on quantitative measurement in psychology, education, and the social sciences, both in terms of participants and number of presentations. The meeting built on the Psychometric Society's mission to share quantitative methods relevant to psychology, addressing a diverse set of psychometric topics including item response theory, factor analysis, structural equation modeling, time series analysis, mediation analysis, cognitive diagnostic models, and multi-level models. Selected presenters were invited to revise and expand their contributions and to have them peer reviewed and published in this proceedings volume. Previous volumes to showcase work from the Psychometric Society’s meetings are New Developments in Quantitative Psychology: Presentations from the 77th Annual Psychometric Society Meeting (Springer, 2013), Quantitative Psychology Research: The 78th Annual Meeting of the Psychometric Society (Springer, 2015), Quantitative Psychology Research: The 79th Annual Meeting of the Psychometric Society, Madison, Wisconsin, 2014 (Springer, 2015), and Quantitative Psychology Research: The 80th Annual Meeting of the Psychometric Society, Beijing, 2015 (Springer, 2016).

Advanced Studies in Behaviormetrics and Data Science

Author : Tadashi Imaizumi
Publisher : Springer Nature
ISBN 13 : 9811527008
Total Pages : 472 pages
Book Rating : 4.8/5 (115 download)

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Book Synopsis Advanced Studies in Behaviormetrics and Data Science by : Tadashi Imaizumi

Download or read book Advanced Studies in Behaviormetrics and Data Science written by Tadashi Imaizumi and published by Springer Nature. This book was released on 2020-04-17 with total page 472 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book focuses on the latest developments in behaviormetrics and data science, covering a wide range of topics in data analysis and related areas of data science, including analysis of complex data, analysis of qualitative data, methods for high-dimensional data, dimensionality reduction, visualization of such data, multivariate statistical methods, analysis of asymmetric relational data, and various applications to real data. In addition to theoretical and methodological results, it also shows how to apply the proposed methods to a variety of problems, for example in consumer behavior, decision making, marketing data, and social network structures. Moreover, it discuses methodological aspects and applications in a wide range of areas, such as behaviormetrics; behavioral science; psychology; and marketing, management and social sciences. Combining methodological advances with real-world applications collected from a variety of research fields, the book is a valuable resource for researchers and practitioners, as well as for applied statisticians and data analysts.

Quantitative Psychology Research

Author : L. Andries van der Ark
Publisher : Springer
ISBN 13 : 3319387596
Total Pages : 393 pages
Book Rating : 4.3/5 (193 download)

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Book Synopsis Quantitative Psychology Research by : L. Andries van der Ark

Download or read book Quantitative Psychology Research written by L. Andries van der Ark and published by Springer. This book was released on 2016-08-04 with total page 393 pages. Available in PDF, EPUB and Kindle. Book excerpt: The research articles in this volume cover timely quantitative psychology topics, including new methods in item response theory, computerized adaptive testing, cognitive diagnostic modeling, and psychological scaling. Topics within general quantitative methodology include structural equation modeling, factor analysis, causal modeling, mediation, missing data methods, and longitudinal data analysis. These methods will appeal, in particular, to researchers in the social sciences. The 80th annual meeting took place in Beijing, China, between the 12th and 16th of July, 2015. Previous volumes to showcase work from the Psychometric Society’s Meeting are New Developments in Quantitative Psychology: Presentations from the 77th Annual Psychometric Society Meeting (Springer, 2013), Quantitative Psychology Research: The 78th Annual Meeting of the Psychometric Society (Springer, 2015), and Quantitative Psychology Research: The 79th Annual Meeting of the Psychometric Society, Wisconsin, USA, 2014 (Springer, 2015).

Visualization and Verbalization of Data

Author : Jorg Blasius
Publisher : CRC Press
ISBN 13 : 1466589817
Total Pages : 382 pages
Book Rating : 4.4/5 (665 download)

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Book Synopsis Visualization and Verbalization of Data by : Jorg Blasius

Download or read book Visualization and Verbalization of Data written by Jorg Blasius and published by CRC Press. This book was released on 2014-04-10 with total page 382 pages. Available in PDF, EPUB and Kindle. Book excerpt: Visualization and Verbalization of Data shows how correspondence analysis and related techniques enable the display of data in graphical form, which results in the verbalization of the structures in data. Renowned researchers in the field trace the history of these techniques and cover their current applications.The first part of the book explains