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| Calinski-Harabasz-index× | A Dunn-index× | Inercia× | |
|---|---|---|---|
| Tudományterület | Modellértékelés | Modellértékelés | Modellértékelés |
| Módszercsalád | MCDM | MCDM | MCDM |
| Keletkezés éve≠ | 1974 | 1974 | 1967 |
| Megalkotó≠ | Tadeusz Calinski, Jerzy Harabasz | Joseph C. Dunn | Stuart Lloyd, James MacQueen |
| Típus≠ | Cluster quality metric | Cluster quality metric | Clustering quality metric |
| Alapmű≠ | Calinski, T., & Harabasz, J. (1974). A dendrite method for cluster analysis. Communications in Statistics, 3(1), 1-27. DOI ↗ | Dunn, J. C. (1974). Well-separated clusters and optimal fuzzy partitions. Journal of Cybernetics, 4(1), 95-104. DOI ↗ | Lloyd, S. P. (1982). Least squares quantization in PCM. IEEE Transactions on Information Theory, 28(2), 129-137. DOI ↗ |
| Alternatív nevek≠ | variance ratio criterion, pseudo F-statistic, CH index | Dunn's index, separation coefficient | WCSS, within-cluster sum of squares, cluster cohesion |
| Kapcsolódó | 5 | 5 | 5 |
| Összefoglaló≠ | 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. | The Dunn Index, introduced by Joseph C. Dunn in 1974, is a metric that captures cluster quality by measuring the ratio of the minimum between-cluster distance to the maximum within-cluster diameter. Higher values indicate well-separated and compact clusters, with better clustering quality. | 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. |
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