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. Author manuscript; available in PMC: 2013 May 8.
Published in final edited form as: Biometrics. 2011 Oct 17;68(2):397–407. doi: 10.1111/j.1541-0420.2011.01690.x

Table 4.

Results of simulations designed to emulate hazard ratio estimation for energy in relation to breast cancer in the Women's Health Initiative, using 500 simulated data sets. The mean bias, empirical standard deviation (SD), root mean squared error (RSME), type I error (α) for β = 0, and estimated 95% coverage probability (CP) for β = 1.25 are given.

β = 0 Bias SD RMSE α β = 1.25 Bias SD RMSE CP
True 0.004 0.296 0.296 0.046 True 0.006 0.302 0.302 95.4
Naive −0.008 0.105 0.105 0.056 Naive −1.181 0.106 1.189 0.0
RC −0.005 0.709 0.709 0.050 RC −0.006 0.691 0.691 96.2
RRC −0.005 0.709 0.709 0.050 RRC −0.006 0.690 0.691 96.2
CS −0.052 1.507 1.507 0.052 CS −0.318 1.510 1.543 93.1
NP 0.014 1.528 1.528 0.042 NP −0.217 1.471 1.487 95.0

True: Cox regression with true X; Naive: Cox regression with unadjusted Q; RC: ordinary regression calibration; RRC: risk set regression calibration; CS: conditional score; NP: nonparametric corrected score.