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 = Z_α =

Standard Error goal = W/2Z_α =

a = P(1-P)(SE goal)² =

b = -(P(Q₁-Q₂) + Q₂ - θ²) =

c = Q₁ + Q₂ - θ - θ² =

Sample size:

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.