Parameter

True value

OLS

GLM

PV

 (a,b) = (0.0001, 0.9999)

 

 

 

  

 a0

1.2

1.09(0.67)

1.46(0.68)

2.40(0.72)

a1

0.45

2.42(0.37)

1.38(0.36)

9.44(0.45)

R(0.2)

0.794

-0.14(0.177)

0.16(0.172)

-0.53(0.179)

R(0.4)

0.861

-0.02(0.139)

0.12(0.138)

0.15(0.143)

R(0.7)

0.924

-0.02(0.104)

-0.002(0.105)

0.38(0.108)

 (a,b) = 0.0001,0.2)

 

 

 

  

  a0

1.2

0.18(1.10)

-1.79(1.05)

7.45(1.19)

a1

0.45

-0.62(0.63)

-6.82(0.58)

14.04(0.71)

R(0.05)

0.677

0.11(0.226)

1.27(0.221)

-1.00(0.226)

R(0.1)

0.733

-0.02(0.206)

0.51(0.204)

0.11(0.203)

R(0.15)

0.768

-0.13(0.204)

0.08(0.202)

0.61(0.201)

Table 3: Inference of the ROC curve by the semiparametric least squares based method (OLS), the ROC-GLM method (GLM) and the placement value method (PV). Cases and controls are drawn from normal distributions. (α0,α1) = (1.2, 0.45), ( nD ,) = (100, 100). Relative bias and sampling standard error from 500 simulations are shown. Relative bias = bias/true value × 100%.