Part of a whole

Circular dendrogram

Displays a hierarchical clustering tree in a circular layout.

  • Diagram
  • Hierarchy
  • Clustering

What it answers

How does clustering form a circular hierarchy?

Shape
Clustering branches around a circle
What it shows
Nested clusters and membership.

Example

The question

Which of our twelve products sell in similar patterns?

Products clustered by weekly sales pattern (circular dendrogram)

Products clustered by weekly sales pattern (circular dendrogram)Products around a circle; branches join towards the centre, and the further out they join, the more alike. Three groups of four: Atlas to Delta (steady sellers), Ember to Haven (summer peak), Iris to Lumen (winter peak).AtlasBirchCometDeltaEmberFableGaleHavenIrisJadeKiteLumenSteady sellersSummer peakWinter peakBranches that join nearerthe edge are more alike
Products clustered by weekly sales pattern (circular dendrogram)Products around a circle; branches join towards the centre, and the further out they join, the more alike. Three groups of four: Atlas to Delta (steady sellers), Ember to Haven (summer peak), Iris to Lumen (winter peak).AtlasBirchCometDeltaEmberFableGaleHavenIrisJadeKiteLumen
Products around a circle; branches join towards the centre, and the further out they join, the more alike. Three groups of four: Atlas to Delta (steady sellers), Ember to Haven (summer peak), Iris to Lumen (winter peak).

Illustrative data. It belongs to no company.

When to use it

Use it when

A compact overview of many clustered leaves.

Avoid it when

When exact merge-height reading is central.

How to read it

Trace leaf branches toward merges using the height/distance key.

Note

Circular layout may make merge distances harder to read.

The data you need

Layout
Wide observation table
Fields
ObservationID: text; V1...Vp: numeric columns
One row is
One observation with several measured numeric variables. What is the grain?
Rules
Align variables by observation. Decide scaling, missing-data handling and which columns are features.
Optional
Optional Group. PCA, clustering and correlations require calculations before rendering their derived results.
Preparation
Fit the hierarchy as for a dendrogram, then use a circular display without changing the underlying merge distances.
Units
Merge distance retains the clustering scale despite the circular display.
Example of the input layout: Wide observation tableA wide table: one row per item, with a separate column for each measure or period.ObservationV1V2V3V4V5ABC
A wide table: one row per item, with a separate column for each measure or period.

Worked example

IfA and B merge at distance 1 and joinC at 5, they share an earlier branch. Circular placement does not change those merge distances.

IDV1V2V3
A10305
B12208
C18256