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طريقة الكوع (Elbow Method)×مؤشر كالينسكي-هاراباز×
المجالتقييم النماذجتقييم النماذج
العائلةMCDMMCDM
سنة النشأة19531974
صاحب الطريقةRobert ThorndikeTadeusz Calinski, Jerzy Harabasz
النوعHeuristic optimization criterionCluster quality metric
المصدر التأسيسيHastie, T., Tibshirani, R., & Friedman, J. (2009). The Elements of Statistical Learning: Data Mining, Inference, and Prediction. Springer Series in Statistics. link ↗Calinski, T., & Harabasz, J. (1974). A dendrite method for cluster analysis. Communications in Statistics, 3(1), 1-27. DOI ↗
الأسماء البديلةelbow analysis, knee detectionvariance ratio criterion, pseudo F-statistic, CH index
ذات صلة55
الملخصThe 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.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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ScholarGateقارن الطرق: Elbow Method · Calinski-Harabasz Index. استُرجع بتاريخ 2026-06-19 من https://scholargate.app/ar/compare