ROC Curve & AUC Calculator
Calculate empirical ROC, AUC and DeLong-style 95% CI.
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Calculate a receiver operating characteristic curve and empirical area under the curve from individual reference diagnoses and continuous test scores. Estimate an asymptotic 95% confidence interval with DeLong structural components where estimable.
How it works
Method: The ROC curve plots true-positive rate against false-positive rate as the score threshold changes. Empirical AUC is computed using trapezoids across observed score thresholds, with tied scores grouped. When available, the 95% CI is a normal-approximation interval using single-curve DeLong structural-component variance.
Example: Paste positive and negative reference labels with continuous test scores. Each subject contributes one row. Scores for positives should tend to be higher; the default example yields an AUC greater than 0.5.
Statistical references
DeLong ER, DeLong DM, Clarke-Pearson DL. Comparing the areas under two or more correlated receiver operating characteristic curves: a nonparametric approach. Biometrics. 1988. DOI. See also STARD 2015.
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