Enter the sample sizes N(D+) with disease and N(D-) without disease, and the measured AUROC. This calculator returns the lower bound LB and upper bound UB of the confidence interval.

Instructions: Enter parameters in the green cells. Answers will appear in the blue box below.

AUROC

Expected area under the ROC curve

N(D+)

Sample size with disease

N(D-)

Sample size without disease

Confidence level

The standard normal deviate for α = Z_α =

Q₁ = AUROC / (2-AUROC) =

Q₂ = 2(AUROC)² / (1+AUROC) =

Standard Error = SE = √( (AUROC * (1-AUROC)) + ((N(D+)-1) * (Q₁-AUROC²) ) + ((N(D-)-1) * (Q₂-AUROC²)) / (N(D+) * N(D-)) ) =

Lower bound = AUROC - (Z_α * SE) =

Upper bound = AUROC + (Z_α * SE) =

N =

Lower bound =

Upper bound =

Reference:

Hanley JA, McNeil BJ. The meaning and use of the area under a receiver operating characteristic (ROC) curve. Radiology. 1982;143(1):29-36.