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. Author manuscript; available in PMC: 2021 Nov 12.
Published in final edited form as: Biometrics. 2020 Jul 25;77(2):519–532. doi: 10.1111/biom.13330

TABLE 2.

Performance of bootstrapping estimates of standard errors for multiple robust estimators under 500 Monte Carlo data (all numbers listed in the table are multiplied by 100)

Setups Method β 0 β 1 β 2
MCSE BSE CP MCSE BSE CP MCSE BSE CP
n = 400 MULTI_100 11.56 11.84 95.6 16.58 16.39 93.8 14.36 14.54 95.0
m = 0.3 MULTI_010 11.49 11.79 95.8 16.53 16.38 93.8 14.43 14.56 95.2
MULTI_001 11.50 11.81 95.8 16.57 16.39 93.8 14.39 14.55 94.8
MULTI_111 11.50 11.81 95.6 16.49 16.37 93.8 14.45 14.57 95.0
MULTI_011 11.49 11.80 95.6 16.47 16.37 94.0 14.47 14.57 94.8
n = 700 MULTI_100 8.85 8.96 95.4 12.16 12.35 94.4 11.13 10.94 95.2
m = 0.3 MULTI_010 8.77 8.93 94.8 12.19 12.33 95.0 11.13 10.96 95.0
MULTI_001 8.80 8.94 94.8 12.17 12.35 94.8 11.14 10.96 94.8
MULTI_111 8.78 8.94 94.8 12.18 12.32 94.6 11.13 10.96 95.0
MULTI_011 8.76 8.93 94.6 12.18 12.32 94.8 11.13 10.95 94.8
n = 400 MULTI_100 13.17 13.54 94.2 17.98 17.99 94.6 18.06 17.53 93.2
m = 0.5 MULTI_010 13.10 13.48 94.6 18.00 18.00 94.8 18.13 17.56 93.4
MULTI_001 13.10 13.48 94.6 17.97 17.97 94.8 18.10 17.54 93.4
MULTI_111 13.13 13.49 94.6 18.07 18.02 94.8 18.19 17.61 93.2
MULTI_011 13.07 13.47 94.6 18.00 18.00 94.6 18.12 17.57 93.4
n = 700 MULTI_100 10.07 10.28 95.8 13.30 13.64 95.8 13.52 13.24 93.4
m = 0.5 MULTI_010 9.95 10.24 95.8 13.32 13.65 96.0 13.63 13.27 93.0
MULTI_001 9.98 10.24 95.6 13.32 13.62 95.8 13.60 13.25 93.6
MULTI_111 9.93 10.24 95.6 13.30 13.65 95.8 13.57 13.27 93.4
MULTI_011 9.92 10.23 95.6 13.32 13.64 95.2 13.62 13.26 93.6