Table 1.

Average over 1000 simulated data sets of estimates of points on the covariate adjusted ROC curve calculated with the pv-AROC and jm-AROC methods. ROC points corresponding to false positive rates of 0.2, 0.5 and 0.7 are displayed. Also shown are the estimated covariate adjusted AUCs. Data for 50 cases and 50 controls were generated in each simulation. In controls, the means of X and Y are zero. In cases, the means of X and Y are μ_X and μ_Y. Therefore larger values of μ_X and μ_Y imply larger associations with the outcome case-control status. The correlation between X and Y is denoted by ρ.

			AROC(0.2)			AROC(0.5)			AROC(0.7)			AAUC
μ X	μ Y	ρ	True	pv	jm	True	pv	jm	True	pv	jm	True	pv	jm
1	1	0.3	0.457	0.477	0.474	0.768	0.770	0.774	0.896	0.894	0.898	0.698	0.698	0.699
1	1	0.5	0.396	0.416	0.414	0.718	0.723	0.725	0.865	0.864	0.869	0.658	0.658	0.659
1	1	0.7	0.337	0.359	0.356	0.663	0.669	0.673	0.828	0.827	0.832	0.617	0.617	0.618
1	2	0.3	0.827	0.830	0.831	0.963	0.962	0.963	0.989	0.988	0.989	0.896	0.896	0.897
1	2	0.5	0.813	0.821	0.822	0.958	0.958	0.960	0.988	0.987	0.989	0.890	0.890	0.892
1	2	0.7	0.836	0.841	0.844	0.966	0.963	0.966	0.990	0.990	0.990	0.901	0.901	0.902
1.5	1.5	0.3	0.602	0.617	0.616	0.864	0.864	0.867	0.948	0.945	0.948	0.782	0.781	0.783
1.5	1.5	0.5	0.510	0.524	0.522	0.807	0.805	0.808	0.918	0.916	0.919	0.730	0.728	0.729
1.5	1.5	0.7	0.416	0.442	0.440	0.736	0.739	0.743	0.876	0.872	0.875	0.672	0.674	0.675
1.5	2.5	0.3	0.904	0.908	0.910	0.984	0.984	0.985	0.996	0.995	0.996	0.936	0.935	0.937
1.5	2.5	0.5	0.881	0.884	0.888	0.978	0.976	0.978	0.995	0.993	0.994	0.923	0.923	0.924
1.5	2.5	0.7	0.883	0.889	0.893	0.979	0.978	0.980	0.995	0.995	0.995	0.924	0.928	0.929