Chapter 3 – Multidimensional Scaling
作者： J. Douglas Carroll , Phipps Arabie
DOI: 10.1016/B978-012099975-0.50005-1
关键词:
摘要: Publisher Summary Multidimensional Scaling (MDS), a very important part of experimental psychology, is technique which encompasses geometrical model representing the data. The thrust discussion in this chapter on link between MDS and its underpinnings resulting formation new methodological developments MDS, theory addressing issues like effect particular stimulus spatial models. This has led to opening up discussions nature multidimensional space metrics. three way algorithms are given more attention comparison with two Spatial distance models form an integral chapter. Applications theoretical investigations Euclidean Minkowski p Metrics (for One-Mode Two-Way Symmetric Data) discussed at length precisely analyzing various aspects. Understanding visual displays Solutions focused around procrustes rotations, biplots, visualization study. now been made almost all statistical literature. Further research can bring about improvements increase acceptability.
sci-hub.se 参考文章(210)
Akinori Okada, A Generalization of Asymmetric Multidimensional Scaling Springer, Berlin, Heidelberg. pp. 127- 138 ,(1990) , 10.1007/978-3-642-84218-4_10
PHIPPS ARABIE, LAWRENCE J. HUBERT, AN OVERVIEW OF COMBINATORIAL DATA ANALYSIS WORLD SCIENTIFIC. pp. 5- 63 ,(1996) , 10.1142/9789812832153_0002
Kevin F. Miller, Geometric Methods in Developmental Research Springer, New York, NY. pp. 216- 262 ,(1987) , 10.1007/978-1-4612-4694-7_7
Willem J. Heiser, Order Invariant Unfolding Analysis Under Smoothness Restrictions Advances in psychology. ,vol. 60, pp. 3- 31 ,(1989) , 10.1016/S0166-4115(08)60228-9
Willem J. Heiser, Joint Ordination of Species and Sites: The Unfolding Technique Springer, Berlin, Heidelberg. pp. 189- 221 ,(1987) , 10.1007/978-3-642-70880-0_5
Shizuhiko Nishisato, An Overview and Recent Developments in Dual Scaling Springer, Berlin, Heidelberg. pp. 73- 85 ,(1996) , 10.1007/978-3-642-79999-0_6
Geert De Soete, Wayne S. DeSarbo, George Y. Furnas, J. Pouglas Carroll, Tree Representations of Rectangular Proximity Matrices Advances in psychology. ,vol. 20, pp. 377- 392 ,(1984) , 10.1016/S0166-4115(08)62099-3
Jacqueline J. Meulman, Willem J. Heiser, Nonlinear Biplots for Nonlinear Mappings Springer, Berlin, Heidelberg. pp. 201- 213 ,(1993) , 10.1007/978-3-642-50974-2_20
Berrie Zielman, Directional Analysis of Three-Way Skew-Symmetric Matrices Springer, Berlin, Heidelberg. pp. 156- 161 ,(1993) , 10.1007/978-3-642-50974-2_16
Patrick J. F. Groenen, Jan de Leeuw, Rudolf Mathar, Least Squares Multidimensional Scaling with Transformed Distances Springer, Berlin, Heidelberg. pp. 177- 185 ,(1996) , 10.1007/978-3-642-79999-0_17