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. Author manuscript; available in PMC: 2012 Mar 1.
Published in final edited form as: Biometrics. 2011 Mar;67(1):242–249. doi: 10.1111/j.1541-0420.2010.01436.x

Table 2. Simulation results of the confidence intervals' performance.

Sample Size Interval Type τ Mean Interval Width Coverage


β1 β2 t β1 β2 t
n = 200 Asymptotic 0.5 0.542 1.042 2.752 0.897 0.902 0.812
0.7 0.573 1.149 2.989 0.905 0.906 0.810
0.8 0.631 1.296 3.289 0.900 0.893 0.811
Bootstrapped 0.5 0.811 2.011 4.212 0.977 0.968 0.965
0.7 0.838 2.052 4.274 0.982 0.968 0.971
0.8 0.923 2.254 4.510 0.982 0.966 0.974
n = 500 Asymptotic 0.5 0.326 0.568 1.748 0.905 0.914 0.853
0.7 0.344 0.614 1.854 0.904 0.911 0.853
0.8 0.379 0.664 2.024 0.901 0.904 0.838
Bootstrapped 0.5 0.438 0.908 2.775 0.972 0.964 0.954
0.7 0.467 0.989 2.930 0.971 0.975 0.964
0.8 0.522 1.112 3.181 0.980 0.966 0.972