השוואת שיטות
סקרו את השיטות שבחרתם זו לצד זו; שורות שבהן יש הבדל מודגשות.
| סטטיסטיקת הפער (Gap Statistic)× | אינרציה× | |
|---|---|---|
| תחום | הערכת מודלים | הערכת מודלים |
| משפחה | MCDM | MCDM |
| שנת המקור≠ | 2001 | 1967 |
| הוגה השיטה≠ | Robert Tibshirani, Guenther Walther, Trevor Hastie | Stuart Lloyd, James MacQueen |
| סוג≠ | Statistical criterion | Clustering quality metric |
| מקור מכונן≠ | 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 ↗ |
| כינויים≠ | gap index, Tibshirani gap statistic | WCSS, within-cluster sum of squares, cluster cohesion |
| קשורות | 5 | 5 |
| תקציר≠ | 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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