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. Author manuscript; available in PMC: 2010 Oct 15.
Published in final edited form as: Stat Med. 2009 Oct 15;28(23):2857–2875. doi: 10.1002/sim.3669

Table 2.

Simulation: Principal causal effect estimation using propensity scores when there is a predictor of compliance with OR = 0.5

Deviation from PI (αc – αn) Propensity Matching
 Propensity Weighting
Raw Bias SE MSE Coverage Raw Bias SE MSE Coverage
CACE (γc), true value=0.5
    0.0 SD 0.006 0.109 0.017 0.896 –0.003 0.113 0.013 0.944
    0.5 SD –0.219 0.111 0.065 0.515 –0.215 0.114 0.059 0.536
    1.0 SD –0.444 0.117 0.216 0.059 –0.432 0.118 0.201 0.047
    2.0 SD –0.895 0.139 0.825 0.000 –0.867 0.132 0.769 0.000
NACE (γn), true value=0
    0.0 SD –0.002 0.109 0.017 0.895 –0.003 0.113 0.014 0.939
    0.5 SD 0.224 0.111 0.068 0.470 0.215 0.114 0.061 0.517
    1.0 SD 0.449 0.117 0.221 0.068 0.434 0.118 0.203 0.055
    2.0 SD 0.900 0.139 0.836 0.000 0.870 0.132 0.776 0.000