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. Author manuscript; available in PMC: 2017 Mar 24.
Published in final edited form as: Biometrics. 2016 Jul 5;73(1):271–282. doi: 10.1111/biom.12561

Table 3.

Log-relative risks and penetrance estimates for the first and second CRCs with and without competing risks obtained from different models using 781 Lynch Syndrome families; SEbs are bootstrap standard errors obtained from 1000 bootstrapped samples of 781 families; 𝒫1(70; X) represents the penetrance estimate for the first CRC by age 70 for mutation carriers; X represents gender, M for male and F for female; 𝒫2(10; T1, X) represents the 10-year penetrance estimates for the second CRC given the age at first CRC, T1 and gender, X, for mutation carriers.

Competing risks models No competing risks models


Weibull Log-logistic Piecewise Weibull Log-logistic Piecewise
Parameters of interest
β1sex 0.406 0.452 0.319 0.419 0.457 0.333
SEb 0.084 0.095 0.086 0.098
β1gene 3.220 3.653 2.728 3.156 3.475 2.805
SEb 0.212 0.222 0.226 0.227
β2sex -0.117 0.030 -0.089 -0.053 -0.013 -0.049
SEb 0.132 0.159 0.125 0.138
β2gene -0.558 -0.445 -0.432 0.553 0.612 -0.459
SEb 0.465 0.430 0.191 0.228
γ 0.177 0.178 0.132 0.068 0.076 0.114
SEb 0.053 0.051 0.057 0.056
Penetrances
𝒫1(70; M) 55.93% 54.61% 50.16% 55.02% 54.23% 50.73%
SEb 2.88% 2.28% 3.04% 2.37%
𝒫1(70; F) 42.09% 43.32% 39.66% 40.88% 42.85% 39.80%
SEb 2.09% 1.89% 2.12% 2.06%
𝒫2(10; 40, M) 11.93% 13.80% 11.88% 12.77% 13.48% 14.02%
SEb 1.11% 1.27% 1.10 % 1.16%
𝒫2(10; 50, M) 13.32% 15.44% 13.02% 13.36% 14.20% 15.31%
SEb 1.20% 1.44% 1.29% 1.88%
𝒫2(10; 40, F) 12.87% 12.85% 12.91% 13.09% 13.25% 14.20%
SEb 1.11% 1.26% 1.13% 1.97%
𝒫2(10; 50, F) 14.45% 14.52% 14.22% 13.71% 14.01% 15.55%
SEb 1.21% 1.37% 1.24% 1.53%