TopoS

0th

Percentile

Computation of criterion S of a visualization

TopoS computes one version of the criterion stress as i.e. known from sammon for a given visualization.

Keywords
internal
Usage
TopoS(EV.dist, Cells.dist)
Arguments
EV.dist
a symmetric distance matrix consisting of distances in the origin space (dx)
Cells.dist
a symmetric distance matrix consisting of distances in the target space (dy)
Details

TopoS first performs a homogeneous linear regression where dx is predicted by dy. Then the residual sum of squares of this regression is computed and divided by the sum of squared dx. Finally one minus the square root of the latter result defines S.

Value

  • TopoS returns a numeric between zero and one which is the criterion S of the given visualization.

concept

S criterion

See Also

EDAM

Aliases
  • TopoS
Examples
# Compute S for the MDS visualization of the german business data
data(B3)
plot(cmdscale(dist(B3[, 2:14])), col = rainbow(4)[B3[, 1]], pch = 16)
TopoS(dist(B3[, 2:14]), dist(cmdscale(dist(B3[, 2:14]))))
Documentation reproduced from package klaR, version 0.6-11, License: GPL-2

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