I have kind of 'distance matrix', every element of which is represented by number of interactions (contacts) between pair of positions on single path-like(curve) object.
It is stated, that number of interactions (contacts) is linearly proportional to the actual distance between two positions in space. # Closer they are, more interactions is observed.
So my 'distance matrix' does not actually contains Euclidean distances, but since these values are proportional to Euclidean distances, may I still use Classical (Torgerson's) metric MDS? If not, why?
Thing is, I do not completely understand why is it important to have Euclidean distances for Classical (Torgerson's) metric MDS and when exactly do I use non-metric ones.
What happens if this contacts are not linearly proportional to distances, which MDS I can use in this case?