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شاخص کالینسکی-هاراباس×روش آرنج×
حوزهارزیابی مدلارزیابی مدل
خانوادهMCDMMCDM
سال پیدایش19741953
پدیدآورTadeusz Calinski, Jerzy HarabaszRobert Thorndike
نوعCluster quality metricHeuristic optimization criterion
منبع بنیادینCalinski, T., & Harabasz, J. (1974). A dendrite method for cluster analysis. Communications in Statistics, 3(1), 1-27. DOI ↗Hastie, T., Tibshirani, R., & Friedman, J. (2009). The Elements of Statistical Learning: Data Mining, Inference, and Prediction. Springer Series in Statistics. link ↗
نام‌های دیگرvariance ratio criterion, pseudo F-statistic, CH indexelbow analysis, knee detection
مرتبط55
خلاصهThe 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 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.
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ScholarGateمقایسهٔ روش‌ها: Calinski-Harabasz Index · Elbow Method. بازیابی‌شده در 2026-06-20 از https://scholargate.app/fa/compare