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A new approach to circular unidimensional scaling.

Li Chi Yin. / Thesis (M.Phil.)--Chinese University of Hong Kong, 2002. / Includes bibliographical references (leaves 78-80). / Abstracts in English and Chinese. / Chapter 1 --- Introduction --- p.1 / Chapter 1.1 --- Multidimensional Scaling (MDS) --- p.1 / Chapter 1.2 --- Unidimensional Scaling (UDS) --- p.15 / Chapter 1.3 --- Circular Unidimensional Scaling (CDS) --- p.17 / Chapter 1.4 --- The Goodness of fit of models --- p.24 / Chapter 1.5 --- The admissible transformations of the MDS configuration --- p.26 / Chapter 2 --- "Computational Methods on MDS, UDS and CDS" --- p.29 / Chapter 2.1 --- Classical Scaling --- p.29 / Chapter 2.2 --- Guttman's updating algorithm and Pliner's smoothing algorithm --- p.36 / Chapter 2.3 --- Circular Unidimensional Scaling/Circumplex Model --- p.43 / Chapter 3 --- A new algorithm for CDS --- p.45 / Chapter 3.1 --- Method of choosing a good starting value in Guttman's updating algorithm and Pliner's smoothing algorithm --- p.46 / Chapter 3.2 --- A new approach for circular unidimensional scaling --- p.54 / Chapter 3.3 --- Examples --- p.62 / Chapter 3.3.1 --- Comparison of the new approach to existing method --- p.62 / Chapter 3.3.2 --- Illustrations of application to political data --- p.64 / Chapter 4 --- Conclusion and Extensions --- p.67 / Chapter A --- Figures and Tables --- p.70 / Chapter B --- References --- p.78

Identiferoai:union.ndltd.org:cuhk.edu.hk/oai:cuhk-dr:cuhk_323918
Date January 2002
ContributorsLi, Chi Yin., Chinese University of Hong Kong Graduate School. Division of Statistics.
Source SetsThe Chinese University of Hong Kong
LanguageEnglish, Chinese
Detected LanguageEnglish
TypeText, bibliography
Formatprint, vi, 80 leaves : ill. ; 30 cm.
RightsUse of this resource is governed by the terms and conditions of the Creative Commons “Attribution-NonCommercial-NoDerivatives 4.0 International” License (http://creativecommons.org/licenses/by-nc-nd/4.0/)

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