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Table 1 Estimates of performance measures for confounder identification approaches using plasmode simulation, values in parentheses are Monte Carlo standard errors when confounders are adjusted with IPTW

From: Identification of confounders and estimating the causal effect of place of birth on age-specific childhood vaccination

Performance measure

Outcome cause

Common cause

All pre-treatment

Average treatment effect estimate

0.019

0.018

0.022

Bias

-0.481 (0.01)

-0.482 (0.01)

-0.978 (0.02)

Coverage

0.236(0.0190)

0.250 (0.019)

0.22 (0.002)

Bias eliminated coverage

0.888 (0.014)

0.888 (0.014)

0.892 (0.014)

Empirical standard error

0.216(0.007)

0.218(0.007)

0.216 (0.007)

MSE

0.2784 (0.0097)

0.2794 (0.0098)

1.0028 (0.0190)

Model based standard error

0.167 (0.0003)

0.167 (0.0003)

0.168 (0.0003)

Relative % error in standard error

-22.83 (2.45)

-23.48(2.43)

-22.20 (2.47)

Power of 5% test

0.114 (0.014)

0.116 (0.014)

0.108 (0.014)