Calculate the sample size necessary to estimate an AUROC (Area Under Receiver Operating Characteristic) Curve
Instructions: Enter parameters in the green cells. Answers will appear in the blue box below.
θ =
AUROC
P =
Proportion of sample having disease (estimated)
W =
Width of confidence interval
CL =
Confidence level
Q1 = θ/(2-θ) =
Q2 = 2θ2/(1+θ) =
The standard normal deviate for α = Zα =
Standard Error goal = W/2Zα =
a = P(1-P)(SE goal)2 =
b = -(P(Q1-Q2) + Q2 - θ2) =
c = Q1 + Q2 - θ - θ2 =
Hanley JA, McNeil BJ. The meaning and use of the area under a receiver operating characteristic (ROC) curve. Radiology. 1982;143(1):29-36.