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| Kendallovo Tau Rank Korelácia× | Analýza ROC (Receiver Operating Characteristic)× | |
|---|---|---|
| Odbor | Štatistika | Štatistika |
| Rodina | Hypothesis test | Hypothesis test |
| Rok vzniku≠ | 1938 | 1954 (signal detection); 1982 (AUC formalization) |
| Tvorca≠ | Maurice G. Kendall | Peterson, Birdsall & Fox (signal detection theory); Hanley & McNeil (medical statistics) |
| Typ≠ | Nonparametric rank correlation | Diagnostic accuracy evaluation |
| Pôvodný zdroj≠ | Kendall, M. G. (1938). A new measure of rank correlation. Biometrika, 30(1/2), 81–93. DOI ↗ | Hanley, J. A., & McNeil, B. J. (1982). The meaning and use of the area under a receiver operating characteristic (ROC) curve. Radiology, 143(1), 29–36. DOI ↗ |
| Ďalšie názvy | Kendall tau, Kendall rank correlation, tau-b, tau-c | ROC curve analysis, AUC analysis, sensitivity-specificity analysis, diagnostic accuracy analysis |
| Príbuzné | 4 | 4 |
| Zhrnutie≠ | Kendall's tau is a nonparametric measure of the ordinal association between two variables. It quantifies how consistently the relative ordering of one variable matches the ordering of another across all observation pairs, making it robust to outliers and suitable for ordinal or non-normally distributed data. | ROC analysis evaluates how well a continuous or ordinal test variable discriminates between two binary outcome classes. By plotting the true positive rate (sensitivity) against the false positive rate (1 − specificity) across all decision thresholds, it produces a curve whose area under the curve (AUC) quantifies overall discriminative power, ranging from 0.5 (chance) to 1.0 (perfect discrimination). |
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