Skip to main content
. Author manuscript; available in PMC: 2022 Jun 15.
Published in final edited form as: Stat Med. 2021 Mar 29;40(13):3124–3137. doi: 10.1002/sim.8963

TABLE 2:

Average and Monte Carlo standard errors for the naive and fusion estimators, 4000 simulation trials

N Average Standard Errora Monte Carlo Standard Errorb

Scenario Local Distal Fusion Naïve Fusion Naïve

A 100 100 0.163 0.123 0.156 0.113
A 100 500 0.108 0.096 0.091 0.078
A 100 1000 0.110 0.105 0.079 0.073

A 500 100 0.149 0.105 0.141 0.096
A 500 500 0.073 0.055 0.068 0.050
A 500 1000 0.057 0.046 0.053 0.041

A 1000 100 0.147 0.103 0.136 0.090
A 1000 500 0.069 0.050 0.065 0.044
A 1000 1000 0.051 0.039 0.048 0.035

B 100 100 0.054 0.087 0.056 0.082
B 100 500 0.043 0.056 0.044 0.047
B 100 1000 0.043 0.057 0.041 0.040

B 500 100 0.041 0.081 0.042 0.076
B 500 500 0.025 0.039 0.024 0.037
B 500 1000 0.022 0.030 0.021 0.028

B 1000 100 0.039 0.080 0.040 0.077
B 1000 500 0.021 0.037 0.021 0.034
B 1000 1000 0.018 0.028 0.018 0.026
a

Average standard error is defined as the average of the standard errors across Monte Carlo simulations, estimated with the standard error estimator described in the text.

b

Monte Carlo standard error is defined as the standard deviation of the estimates across Monte Carlo simulations.