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| Indeks Calinski-Harabasz× | Indeks Dunn× | Gap Statistic× | Inersia× | |
|---|---|---|---|---|
| Bidang | Penilaian Model | Penilaian Model | Penilaian Model | Penilaian Model |
| Keluarga | MCDM | MCDM | MCDM | MCDM |
| Tahun asal≠ | 1974 | 1974 | 2001 | 1967 |
| Pengasas≠ | Tadeusz Calinski, Jerzy Harabasz | Joseph C. Dunn | Robert Tibshirani, Guenther Walther, Trevor Hastie | Stuart Lloyd, James MacQueen |
| Jenis≠ | Cluster quality metric | Cluster quality metric | Statistical criterion | Clustering quality metric |
| Sumber perintis≠ | 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 ↗ | Tibshirani, R., Walther, G., & Hastie, T. (2001). Estimating the number of clusters in a data set via the gap statistic. Journal of the Royal Statistical Society: Series B (Statistical Methodology), 63(2), 411-423. DOI ↗ | Lloyd, S. P. (1982). Least squares quantization in PCM. IEEE Transactions on Information Theory, 28(2), 129-137. DOI ↗ |
| Alias≠ | variance ratio criterion, pseudo F-statistic, CH index | Dunn's index, separation coefficient | gap index, Tibshirani gap statistic | WCSS, within-cluster sum of squares, cluster cohesion |
| Berkaitan | 5 | 5 | 5 | 5 |
| Ringkasan≠ | 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. | The Gap Statistic, developed by Tibshirani, Walther, and Hastie in 2001, is a principled statistical method for determining the optimal number of clusters in a dataset. It compares the observed within-cluster sum of squares to the expected value under a null hypothesis of no clustering structure, providing a theoretically grounded approach to cluster number selection. | 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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