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همبستگی رتبه کندال تاو (Kendall's Tau Rank Correlation)×تحلیل ROC (مشخصه عملكرد گیرنده)×
حوزهآمارآمار
خانوادهHypothesis testHypothesis test
سال پیدایش19381954 (signal detection); 1982 (AUC formalization)
پدیدآورMaurice G. KendallPeterson, Birdsall & Fox (signal detection theory); Hanley & McNeil (medical statistics)
نوعNonparametric rank correlationDiagnostic accuracy evaluation
منبع بنیادینKendall, 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 ↗
نام‌های دیگرKendall tau, Kendall rank correlation, tau-b, tau-cROC curve analysis, AUC analysis, sensitivity-specificity analysis, diagnostic accuracy analysis
مرتبط44
خلاصهKendall'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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ScholarGateمقایسهٔ روش‌ها: Kendall's tau · ROC analysis. بازیابی‌شده در 2026-06-18 از https://scholargate.app/fa/compare