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