Confidence Interval Estimation of an ROC Curve: An Application of Generalized Half Normal and Weibull Distributions

Table 1

Confidence intervals for AUC at various combinations of scale and shape parameters of normal and abnormal populations with different sample sizes.

Experiment	Parameter values	Sample size
		50	100	200	300	500
1	, ,
		0.6791; (0.5728, 0.7854)	0.724; (0.6503, 0.7978)	0.7036; (0.6564, 0.7509)	0.6810; (0.6407, 0.7212)	0.7186; (0.6864, 0.7509)
		0.7609; (0.6651, 0.8568)	0.7336; (0.6623, 0.8049)	0.7385; (0.6873, 0.7897)	0.7513; (0.7116, 0.7910)	0.7249; (0.6954, 0.7545)
		0.7311; (0.6384, 0.8239)	0.7655; (0.7033, 0.8277)	0.7408; (0.6971, 0.7846)	0.7811; (0.7526, 0.8096)	0.7807; (0.7586, 0.8028)
2	, ,
		0.5953; (0.4814, 0.7092)	0.5588; (0.4881, 0.6294)	0.5765; (0.5241, 0.6290)	0.5592; (0.5198, 0.5986)	0.5739; (0.5416, 0.6061)
		0.8033; (0.7230, 0.8836)	0.7684; (0.7061, 0.8307)	0.769; (0.7353, 0.8027)	0.7656; (0.7328, 0.7983)	0.7871; (0.7604, 0.8139)
		0.9133; (0.8737, 0.9528)	0.8973; (0.8606, 0.9339)	0.9132; (0.8944, 0.9321)	0.9058; (0.8898, 0.9218)	0.9144; (0.9028, 0.9259)
3	, ,
		0.5395; (0.4340, 0.6450)	0.5212; (0.4480, 0.5943)	0.4886; (0.4347, 0.5425)	0.5395; (0.4949, 0.5841)	0.5178; (0.4840, 0.5516)
		0.7303; (0.6296, 0.8310)	0.6904; (0.6146, 0.7663)	0.7222; (0.6803, 0.7641)	0.7101; (0.6756, 0.7447)	0.7084; (0.6776, 0.7391)
		0.8319; (0.7562, 0.9076)	0.8193; (0.7689, 0.8697)	0.8458; (0.8076, 0.8840)	0.8584; (0.8352, 0.8815)	0.8563; (0.8400, 0.8726)