Table 2.

Threshold model simulation results. Event time T is generated from exponential distribution with rate 1. Two risk scores X and Y are generated from a mixture of bivariate normal distribution described in equation (7), with parameters μ₀ = 2, ρ = 0, ${\sigma }_1^2=9$ and ${\sigma }_2^2=0.25$. The cut point τ = 0.718 is selected such that C_TX = C_TY = 0.803 based on 100,000 simulations. Parameters λ for exponential censoring and c₂ for uniform (0, c₂) censoring are chosen to achieve the desired censoring proportions.

Censoring distribution / n	% censor	ĈTX	ĈTY	ĈTX − ĈTY	% Reject H0 at α = 5%	% Reject H0 at α = 10%
Exponential n=100	0%	0.802	0.803	−0.001	5.5%	10.7%
	10%	0.815	0.804	0.011	6.9%	13.1%
	20%	0.830	0.806	0.024	10.3%	17.3%
	33%	0.851	0.809	0.042	20.2%	29.0%
	50%	0.883	0.818	0.065	39.2%	51.5%
n=200	0%	0.802	0.802	0.000	4.7%	10.0%
	10%	0.815	0.803	0.012	8.0%	13.8%
	20%	0.830	0.805	0.025	16.0%	25.4%
	33%	0.851	0.809	0.043	34.7%	45.7%
	50%	0.883	0.817	0.067	66.9%	76.8%
n=500	0%	0.802	0.803	−0.001	5.2%	10.0%
	10%	0.816	0.804	0.012	10.9%	17.9%
	20%	0.831	0.806	0.025	30.8%	42.5%
	33%	0.852	0.809	0.043	69.1%	79.3%
	50%	0.884	0.818	0.066	96.6%	98.5%
Uniform n=100	10%	0.815	0.803	0.012	7.0%	12.5%
	20%	0.829	0.804	0.025	10.7%	18.1%
	33%	0.847	0.806	0.041	19.3%	28.4%
	50%	0.879	0.811	0.067	42.0%	54.0%
n=200	10%	0.815	0.803	0.012	7.9%	14.0%
	20%	0.829	0.804	0.024	15.0%	23.4%
	33%	0.847	0.806	0.041	31.7%	43.9%
	50%	0.879	0.812	0.067	68.4%	79.1%
n=500	10%	0.815	0.803	0.012	11.1%	18.5%
	20%	0.829	0.804	0.024	29.2%	40.4%
	33%	0.847	0.806	0.041	64.4%	74.7%
	50%	0.879	0.811	0.068	97.2%	98.7%