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| 慣性× | Calinski-Harabasz Index（キャリンスキー・ハラバス指数）× | |
|---|---|---|
| 分野 | モデル評価 | モデル評価 |
| 系統 | MCDM | MCDM |
| 提唱年≠ | 1967 | 1974 |
| 提唱者≠ | Stuart Lloyd, James MacQueen | Tadeusz Calinski, Jerzy Harabasz |
| 種類≠ | Clustering quality metric | Cluster quality metric |
| 原典≠ | Lloyd, S. P. (1982). Least squares quantization in PCM. IEEE Transactions on Information Theory, 28(2), 129-137. DOI ↗ | Calinski, T., & Harabasz, J. (1974). A dendrite method for cluster analysis. Communications in Statistics, 3(1), 1-27. DOI ↗ |
| 別名 | WCSS, within-cluster sum of squares, cluster cohesion | variance ratio criterion, pseudo F-statistic, CH index |
| 関連 | 5 | 5 |
| 概要≠ | Inertia, also called Within-Cluster Sum of Squares (WCSS), is a measure of cluster cohesion that quantifies how tightly points are grouped around their cluster centroids. Lower values indicate more compact, cohesive clusters. Inertia is the primary objective function for k-means clustering and has been a fundamental metric since the method's introduction. | The Calinski-Harabasz Index, also called the Variance Ratio Criterion, was introduced by Calinski and Harabasz in 1974. It is a metric that measures the ratio of between-cluster variance to within-cluster variance, adjusted for the number of clusters and data points. Higher values indicate better-separated, more compact clusters. |
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