THE MULTIDIMENSIONAL ANALYSIS OF ‘ELASTIC’ DISTANCES
Abstract
A new orientation to the problem of multidimensional scaling is presented using the notion of ‘elastic’ distances. Making use of a rational theory of judgement variability (in line with Thurstone's remarks about discriminal processes); a monotonic distance function (in line with Shepard's suggestions); an algorithm for determining the monotonic transformations at each iteration (as provided by Kruskal); and a criterion which yields information about the tolerance for variability of judgement that any solution demands, a hybrid analytical approach is proposed as a practical multidimensional scaling procedure. The approach is illustrated using experimental data.
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