Table 2.

Accuracy and precision of estimates of log relative risks, copula parameter, and 10-year penetrances, 𝒫₂(10; T₁, X), for the second cancer given T₁, the first cancer occurred at ages 40 and 50, and gender X, male (M) and female (F), based on 1000 simulations of sample size of 781 families. For each simulation, data were generated assuming Weibull baselines with θ = 0.15, and different baseline distributions assumptions were applied for fitting the data.

Baseline distribution		True value	No missing genotypes			50% Missing genotypes			80% Missing genotypes
			Bias	SE	RMSE	Bias	SE	RMSE	Bias	SE	RMSE
Weibull	β2sex	-0.0205	0.0005	0.1843	0.1843	-0.0056	0.1740	0.1741	-0.0064	0.1777	0.1778
	β2gene	-0.4174	0.0909	0.7302	0.7358	0.0106	0.3273	0.3275	0.0359	0.2362	0.2389
	log (γ)	-1.8877	-0.0619	0.5002	0.5040	-0.0437	0.4468	0.4490	-0.0256	0.3931	0.3939
Log-logistic	β2sex	-0.0205	0.0407	0.1861	0.1905	0.0563	0.1794	0.1881	0.0477	0.1750	0.1814
	β2gene	-0.4174	0.4625	0.7590	0.8889	0.3359	0.3686	0.4987	0.3221	0.2856	0.4305
	log (γ)	-1.8877	-0.1998	0.5920	0.6248	-0.1972	0.4898	0.5280	-0.1671	0.5635	0.5877
Gamma	β2sex	-0.0205	-0.0157	0.1929	0.1936	0.0046	0.1756	0.1757	-0.0055	0.1903	0.1904
	β2gene	-0.4174	0.1431	0.7074	0.7217	0.1021	0.4550	0.4663	0.0620	0.3324	0.3382
	log (γ)	-1.8877	-0.0864	0.6637	0.6693	-0.0836	0.6775	0.6826	-0.0184	0.4990	0.4993
Piecewise	β2sex	-0.0205	-0.0206	0.1829	0.1841
	β2gene	-0.4174	-0.1151	0.3467	0.3653
	log (γ)	-1.8877	0.0627	0.3350	0.3408
10- year penetrance for the second cancer conditioning on T1 and gender
Weibull	𝒫2(10; 40, M)	0.1243	0.0000	0.0113	0.0113	-0.0006	0.0111	0.0111	0.0001	0.0113	0.0113
	𝒫2(10; 40, F)	0.1246	0.0007	0.0192	0.0192	0.0004	0.0176	0.0176	0.0010	0.0179	0.0179
	𝒫2(10; 50, M)	0.1350	-0.0107	0.0113	0.0156	-0.0113	0.0111	0.0158	-0.0106	0.0113	0.0155
	𝒫2(10; 50, F)	0.1361	-0.0109	0.0192	0.0220	-0.0111	0.0176	0.0208	-0.0105	0.0179	0.0207
Log-logistic	𝒫2(10; 40, M)	0.1243	0.0046	0.0115	0.0124	0.0044	0.0116	0.0124	0.0049	0.0114	0.0124
	𝒫2(10; 40, F)	0.1246	0.0015	0.0197	0.0198	-0.0008	0.0187	0.0187	0.0003	0.0182	0.0182
	𝒫2(10; 50, M)	0.1350	-0.0061	0.0115	0.0130	-0.0063	0.0116	0.0132	-0.0058	0.0114	0.0128
	𝒫2(10; 50, F)	0.1361	-0.0100	0.0197	0.0221	-0.0123	0.0187	0.0224	-0.0112	0.0182	0.0214
Gamma	𝒫2(10; 40, M)	0.1243	-0.0712	0.0171	0.0732	-0.0729	0.0185	0.0752	-0.0748	0.0175	0.0768
	𝒫2(10; 40, F)	0.1246	-0.0696	0.0169	0.0716	-0.0724	0.0179	0.0746	-0.0739	0.0169	0.0758
	𝒫2(10; 50, M)	0.1350	-0.0819	0.0171	0.0837	-0.0836	0.0185	0.0856	-0.0855	0.0175	0.0873
	𝒫2(10; 50, F)	0.1361	-0.0811	0.0169	0.0828	-0.0839	0.0179	0.0858	-0.0854	0.0169	0.0871
Piecewise	𝒫2(10; 40, M)	0.1243	-0.0017	0.0136	0.0137
	𝒫2(10; 40, F)	0.1246	0.0004	0.0203	0.0203
	𝒫2(10; 50, M)	0.1350	-0.0007	0.0154	0.0154
	𝒫2(10; 50, F)	0.1361	0.0018	0.0233	0.0234

SE is empirical standard error; RMSE is root mean square error.