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सिलुएट स्कोर×गैप स्टैटिस्टिक (Gap Statistic)×
क्षेत्रमॉडल मूल्यांकनमॉडल मूल्यांकन
परिवारMCDMMCDM
उद्भव वर्ष19872001
प्रवर्तकPeter RousseeuwRobert Tibshirani, Guenther Walther, Trevor Hastie
प्रकारCluster quality metricStatistical criterion
मौलिक स्रोतRousseeuw, P. J. (1987). Silhouettes: a graphical aid to the interpretation and validation of cluster analysis. Journal of Computational and Applied Mathematics, 20, 53-65. 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 ↗
उपनामsilhouette coefficient, silhouette indexgap index, Tibshirani gap statistic
संबंधित55
सारांशThe Silhouette Coefficient, introduced by Peter Rousseeuw in 1987, is a metric that measures how similar an object is to its own cluster compared to other clusters. It ranges from -1 to 1, where values close to 1 indicate well-separated and cohesive clusters, values near 0 suggest overlapping clusters, and negative values indicate misclustered points.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.
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