Complete linkage hierarchical clustering is another method used in cluster analysis, like single linkage clustering, but with a different approach to determining the distance between clusters.

In complete linkage clustering, the distance between two clusters is defined as the maximum distance between any two points in the two clusters. So, the distance between two clusters is determined by the farthest points in each cluster. This approach tends to produce more compact and spherical clusters compared to single linkage clustering.

Complete linkage clustering is less sensitive to noise and outliers compared to single linkage clustering, and it tends to handle uneven cluster sizes better. However, it can be more computationally intensive, especially for large datasets, because it involves calculating the maximum distance between points in each pair of clusters.

Overall, complete linkage hierarchical clustering is a useful method for finding compact and well-separated clusters in data, especially when the clusters have distinct boundaries.

GO ONE LEVEL DEEPER

Complete linkage favors compact groups

At every merge, complete linkage uses the farthest pair of observations across two clusters. A merge is delayed until even the most distant pair is acceptably close.

Behavior to expect
MAX

Merge rule

Use the maximum cross-cluster distance.

Strength

Usually produces tighter, more compact clusters.

!

Risk

A distant observation can strongly affect when clusters merge.

Keep in mind

  • Standardize features when their units differ.
  • Use the dendrogram to understand merge distances.
  • Compare several linkage rules and validate cluster stability.