Scaling Roundwood: A Metric Scaling Standard for Canada

A Metric Multidimensional Scaling

| Multidimensional Scaling (MDS) techniques always pose the problem of analysing a large number N of points, without collecting all N(N?1) 2 possible interstimuli dissimilarities, and while keeping satisfactory solutions. In the case of metric MDS, it was found that a theoretical minimum of appropriate 2N ?3 exact Euclidean distances are suf-cient for the unique representation of N points in a ...

A Continuous Metric Scaling Solution for a

As a generalization of the classical Metric Scaling solution for a nite set of points, a countable set of uncorrelated random variables is obtained from an arbitrary continuous random variable X. The properties of these variables allow us to regard them as Principal Axes for X with respect to the distance function d(u; v) = p ju ? vj. Explicit results are obtained for uniform and negative expon...

Weighted continuous metric scaling

Weighted metric scaling (Cuadras and Fortiana 1995b) is a natural extension of classic metric scaling which encompasses several well-known techniques of Euclidean representation of data, including correspondence analysis of bivariate contingency tables. A continuous version of this technique, following the trend initiated in (Cuadras and For-tiana 1993, 1995a) is applied to the study of several...

Generalized Non-metric Multidimensional Scaling

We consider the non-metric multidimensional scaling problem: given a set of dissimilarities ∆, find an embedding whose inter-point Euclidean distances have the same ordering as ∆. In this paper, we look at a generalization of this problem in which only a set of order relations of the form dij < dkl are provided. Unlike the original problem, these order relations can be contradictory and need no...

Reliability and Metric Multidimensional Scaling