Some Technical Considerations In Multidimensional Scaling
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Some Technical Considerations In Multidimensional Scaling
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Author : Robert F. Boldt
language : en
Publisher:
Release Date : 1965
Some Technical Considerations In Multidimensional Scaling written by Robert F. Boldt and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1965 with Multidimensional scaling categories.
Fundamentals Of Applied Multidimensional Scaling For Educational And Psychological Research
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Author : Cody S. Ding
language : en
Publisher: Springer
Release Date : 2018-04-09
Fundamentals Of Applied Multidimensional Scaling For Educational And Psychological Research written by Cody S. Ding and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-04-09 with Social Science categories.
This book explores the fundamentals of multidimensional scaling (MDS) and how this analytic method can be used in applied setting for educational and psychological research. The book tries to make MDS more accessible to a wider audience in terms of the language and examples that are more relevant to educational and psychological research and less technical so that the readers are not overwhelmed by equations. The goal is for readers to learn the methods described in this book and immediately start using MDS via available software programs. The book also examines new applications that have previously not been discussed in MDS literature. It should be an ideal book for graduate students and researchers to better understand MDS. Fundamentals of Applied Multidimensional Scaling for Educational and Psychological Research is divided into three parts. Part I covers the basic and fundamental features of MDS models pertaining to applied research applications. Chapters in this section cover the essential features of data that are typically associated with MDS analysis such as preference ration or binary choice data, and also looking at metric and non-metric MDS models to build a foundation for later discussion and applications in later chapters. Part II examines specific MDS models and its applications for education and psychology. This includes spatial analysis methods that can be used in MDS to test clustering effect of items and individual differences MDS model (INDSCAL). Finally, Part III focuses on new applications of MDS analysis in these research fields. These new applications consist of profile analysis, longitudinal analysis, mean-level change, and pattern change. The book concludes with a historical review of MDS development as an analytical method and a look to future directions.
Modern Multidimensional Scaling
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Author : Ingwer Borg
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-18
Modern Multidimensional Scaling written by Ingwer Borg and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-18 with Mathematics categories.
Multidimensional scaling (MDS) is a technique for the analysis of similarity or dissimilarity data on a set of objects. Such data may be intercorrelations of test items, ratings of similarity on political candidates, or trade indices for a set of countries. MDS attempts to model such data as distances among points in a geometric space. The main reason for doing this is that one wants a graphical display of the structure of the data, one that is much easier to understand than an array of numbers and, moreover, one that displays the essential information in the data, smoothing out noise. There are numerous varieties of MDS. Some facets for distinguishing among them are the particular type of geometry into which one wants to map the data, the mapping function, the algorithms used to find an optimal data representation, the treatment of statistical error in the models, or the possibility to represent not just one but several similarity matrices at the same time. Other facets relate to the different purposes for which MDS has been used, to various ways of looking at or "interpreting" an MDS representation, or to differences in the data required for the particular models. In this book, we give a fairly comprehensive presentation of MDS. For the reader with applied interests only, the first six chapters of Part I should be sufficient. They explain the basic notions of ordinary MDS, with an emphasis on how MDS can be helpful in answering substantive questions.
Human Factors Engineering Bibliographic Series
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Author :
language : en
Publisher:
Release Date : 1965
Human Factors Engineering Bibliographic Series written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1965 with Human engineering categories.
Abstracts Of U S Apro Research Publications
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Author : Emma E. Brown
language : en
Publisher:
Release Date : 1966
Abstracts Of U S Apro Research Publications written by Emma E. Brown and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1966 with Psychology categories.
Contents: Abstracts of FY 1966 research publications (Technical research reports, Technical research notes, Research studies, Research memorandums); Research tasks, U.S. Army Personnel Research Office; Depository libraries; Army personnel programs utilizing psychological research test products of the U.S. Army Personnel Research Office.
Some Technical Considerations In Multidimensional Scaling
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Author : Robert F. Boldt
language : en
Publisher:
Release Date : 1965
Some Technical Considerations In Multidimensional Scaling written by Robert F. Boldt and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1965 with categories.
In an examination of problems arising in multidimensional scaling, the multivariate analysis of interpoint distances into coordinates in m-dimensional Euclidean space is first described. Problems encountered in application of the method are then presented, and solutions developed or suggested by the writer are discussed. The first difficulty was the occurrence of a complex additive constant during the course of Messick-Abelson interations for solutions of relatively low dimensionality. A regression approach is suggested as a reasonable alternative. This approach cannot yield a complex additive constant and was successfully used where the more common method failed. A second problem arose because the common Hotelling method of extracting characteristic roots and vectors does not find the vectors in the algebraic order of the roots. This difficulty, combined with the relative slowness of the Hotelling method, recommends the use of Jacobi's method. A third problem was the occurrence of negative 'distances' obtained when the final additive constant is added to the scale values. It was conjectured that this result may arise in samples even when a proper dimensionality has been defined and the solution sought. A model sampling study of a onedimensional system supported the conjecture. Hence, the occurrence of such negative 'distances' is not necessarily indicative of an underlying structure of higher dimensionality. Finally, it was pointed out that the occurrence of negative 'distances' is actually built into the successive intervals and comparisons approaches. Alternative assumptions were discussed. (Author).
The Majorization Approach To Multidimensional Scaling
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Author : Patrick J. F. Groenen
language : en
Publisher:
Release Date : 1993
The Majorization Approach To Multidimensional Scaling written by Patrick J. F. Groenen and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with Inequalities (Mathematics). categories.
Notes Of Lectures On Mathematics In The Behavioral Sciences
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Author : Mathematical Association of America
language : en
Publisher:
Release Date : 1973
Notes Of Lectures On Mathematics In The Behavioral Sciences written by Mathematical Association of America and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1973 with Psychology categories.
Some Technical Considerations In Multidimensional Scaling
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Author :
language : en
Publisher:
Release Date : 1965
Some Technical Considerations In Multidimensional Scaling written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1965 with categories.
In an examination of problems arising in multidimensional scaling, the multivariate analysis of interpoint distances into coordinates in m-dimensional Euclidean space is first described. Problems encountered in application of the method are then presented, and solutions developed or suggested by the writer are discussed. The first difficulty was the occurrence of a complex additive constant during the course of Messick-Abelson interations for solutions of relatively low dimensionality. A regression approach is suggested as a reasonable alternative. This approach cannot yield a complex additive constant and was successfully used where the more common method failed. A second problem arose because the common Hotelling method of extracting characteristic roots and vectors does not find the vectors in the algebraic order of the roots. This difficulty, combined with the relative slowness of the Hotelling method, recommends the use of Jacobi's method. A third problem was the occurrence of negative 'distances' obtained when the final additive constant is added to the scale values. It was conjectured that this result may arise in samples even when a proper dimensionality has been defined and the solution sought. A model sampling study of a onedimensional system supported the conjecture. Hence, the occurrence of such negative 'distances' is not necessarily indicative of an underlying structure of higher dimensionality. Finally, it was pointed out that the occurrence of negative 'distances' is actually built into the successive intervals and comparisons approaches. Alternative assumptions were discussed. (Author).
Monthly Catalog Of United States Government Publications
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Author :
language : en
Publisher:
Release Date : 1966
Monthly Catalog Of United States Government Publications written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1966 with Government publications categories.