JSM 2004 Online Program

Abstract #301905

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Activity Number:	218
Type:	Contributed
Date/Time:	Tuesday, August 10, 2004 : 10:30 AM to 12:20 PM
Sponsor:	Section on Statistical Graphics
Abstract - #301905
Title:	Spherical Distance Matrices and the Horseshoe Effect
Author(s):	Michael W. Trosset*+
Companies:	College of William & Mary
Address:	Dept. of Mathematics, Williamsburg, VA, 23187-8795,
Keywords:	seriation ; multidimensional scaling ; distance geometry
Abstract:	One important use of multidimensional scaling is seriation, the ordering of a set of objects on the basis of dissimilarities between them. In many applications, it is difficult to distinguish degrees of large dissimilarity, resulting in a phenomenon that D.G. Kendall dubbed "the horseshoe effect." Kendall (1971) offered an intuitive explanation of the horseshoe effect; I will attempt a more technical explanation that appeals to the theory of spherical distance matrices.

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