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Dendrogram

A dendrogram is a tree diagram that represents hierarchical relationships among items or nested clusters, including the levels at which they merge or split.

How 3 Manning books explain it

Data Without Labels

A dendrogram is a tree diagram that represents the nested grouping and merging of observations in hierarchical clustering.

How it is used
Guides hierarchical-clustering users from nested merges to a defensible number of final clusters.
How deep it goes
Defines branches, leaves, and merge heights, then gives a cutting procedure; it stops short of automatic optimum selection.
Examples
Uses candidate cuts, merge-height comparisons, Python linkage workflows, truncated plots, and scatterplots of resulting clusters.
What you can do after
Apply it via SciPy and matplotlib to inspect hierarchical merges, select a distance threshold, and visualize resulting clusters.

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Statistics Slam Dunk

A dendrogram is a branching diagram that represents hierarchical relationships or nested cluster structure.

How it is used
Uses dendrograms to segment observations and discover structure when no response variable is being predicted.
How deep it goes
Explains the merge process, Euclidean distances, complete linkage, plotting, and cluster cuts without deriving clustering internals.
Examples
Uses NBA first-round pick numbers, average career win shares, a distance matrix, and a two-cluster dendrogram.
What you can do after
Build it from scratch in R by preparing variables, calculating distances, fitting hierarchical clustering, plotting the tree, and selecting clusters.

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Advanced Algorithms and Data Structures

A dendrogram is a tree diagram that represents the hierarchical arrangement of clusters.

How it is used
Supports exploring hierarchical clusterings and selecting flat partitions at different levels.
How deep it goes
Explains tree structure, cluster merges, threshold selection, and branch-specific thresholds, without detailing construction internals.
Examples
Uses an OPTICS result with ϵMAX=2.0, minPoints=3, clusters C1–C7, and super-clusters CA–CF.
What you can do after
Evaluate hierarchical cluster structure and select flat clusterings by inspecting sections or applying thresholds.

Read how Advanced Algorithms and Data Structures explains dendrogram →

Related concepts

These guides are generated from the text of Manning books by Manning's knowledge graph and link to the sections they draw on. The full books are available on liveBook and at manning.com.