MCDMCluster Number Selection

Elbow Method

The Elbow Method is a heuristic for selecting the optimal number of clusters in partitional clustering. Introduced by Robert Thorndike in 1953, it involves fitting clustering models for increasing numbers of clusters and plotting the within-cluster sum of squares (WCSS) against the number of clusters. The 'elbow' occurs where the rate of WCSS decrease sharply changes, suggesting an optimal cluster count.

Open in MethodMindSoonVideoSoon

Read the full method

Members only

Sign in with a free account to read this section.

Sign in

Sources

  1. Hastie, T., Tibshirani, R., & Friedman, J. (2009). The Elements of Statistical Learning: Data Mining, Inference, and Prediction. Springer Series in Statistics. link
  2. Thorndike, R. L. (1953). Who belongs in the family? Psychometrika, 18(4), 267-276. DOI: 10.1007/BF02289263

Related methods

Referenced by

ScholarGateElbow Method (Elbow Method for Optimal Cluster Number). Retrieved 2026-06-04 from https://scholargate.app/en/model-evaluation/elbow-method