Dissimilarity: To Configuration (monotone mds)...


A command that creates a Configuration object from a Dissimilarity object.
Dissimilarities δ_{ij} and disparities d′_{ij} are related by:
d′_{ij} ≤ d′_{kl} if δ_{ij} ≤ δ_{kl} 
Settings

Number of dimensions

determines the number of dimensions of the configuration.

Primary or secondary approach to ties

When dissimilarities are equal, i.e., δ_{ij} = δ_{kl}, the primary approach imposes no conditions on the corresponding disparities d′_{ij} and d′_{kl}, while the secondary approach demands that also d′_{ij} = d′_{kl}.
Finding the optimal Configuration involves a minimization process:

Tolerance

When successive values for the stress differ less than Tolerance the minimization process stops.

Maximum number of iterations

Minimization stops after this number of iterations has been reached.

Number of repetitions

When chosen larger than 1, the minimalization process will be repeated, each time with another random start configuration. The configuration that results in minimum stress will be saved.
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© djmw, April 7, 2004