Why does Euclidean distances not suitable for NMDS
1
0
Entering edit mode
5.0 years ago
songzewei ▴ 10

I've read in several places saying that Euclidean distance does not meet the assumption of NMDS. But I was struggling in finding explanation for this?

Can anyone provide a simple example for this?

Thanks!

multivariate nmds Euclidean distance • 2.2k views
ADD COMMENT
0
Entering edit mode
5.0 years ago

I assume that by NMDS you mean non-metric multidimensional scaling. As a starting point for NMDS, you need a distance matrix. Which distance measure to use is problem-specific but any distance measure can be used including Euclidean distance if it suits your problem. However, NMDS is often used when there are non-real valued items in the data, e.g. arbitrary ranking scores or categorical labels, for which Euclidean distance is not applicable. While metric MDS tries to preserve the pairwise distances between data points and requires this distance to be a metric, NMDS preserves the ranking of the distances and can be used with non-metric distances.

In short: Euclidean distance is suitable for NMDS but NMDS is often chosen for data to which Euclidean distance is not applicable.

ADD COMMENT

Login before adding your answer.

Traffic: 1069 users visited in the last hour
Help About
FAQ
Access RSS
API
Stats

Use of this site constitutes acceptance of our User Agreement and Privacy Policy.

Powered by the version 2.3.6