Abstract
The basic ideas of MDS are introduced doing MDS by hand. Then, MDS is done using a computer program. The goodness of the MDS configuration is evaluated by correlating its distances with the data.
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The first principal axis is a straight line which runs through the point cloud so that it is closest to the points. That is, the sum the (squared) distances of the points from this line is minimal. Or, expressed differently: The variance of the projections of the points onto this line is maximal. The second major axis is perpendicular to the first and explains the maximum of the remaining variance.
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Borg, I., Groenen, P.J.F., Mair, P. (2013). First Steps. In: Applied Multidimensional Scaling. SpringerBriefs in Statistics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-31848-1_1
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DOI: https://doi.org/10.1007/978-3-642-31848-1_1
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