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Multidimensional Scaling
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Interactive Diagnostic Plots for MDS
| MDSGAP | Links |

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Introduction
Multidimensional scaling (MDS) represents objects as points in an Euclidean space so that the perceived distances between points can reflect similarity
(or dissimilarity) between objects. To be practical, the dimension of the projected
space usually is kept as low as possible. Thus, it is unavoidable that part of the
information in the original proximity matrix will be lost in the MDS plot. To
assess the overall quality of projection, classical MDS diagnostic indices and plots
are available. However, these global-fitness methods do not address another issue:
how well represented is a specified individual object or a pair of objects in the
projected space? Here, via the concept of color-linkage, a dynamic graphical
system is developed for revealing the subtle spatial lack-of-fit pattern for any specified
individual object. The proposed method is illustrated by using a data set from a
psychopathological research project. |
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