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. Author manuscript; available in PMC: 2014 Aug 15.
Published in final edited form as: Biometrics. 2013 Feb 22;69(2):318–327. doi: 10.1111/biom.12005

Table 3.

Simulation results for misspecified models: bias and standard deviation in estimating the μts and the derived quantities using the unadjusted (UA), PA, OR, IPW, and AIPW methods, with misspecified OR and/or PS models. Outcome and treatmentality data are simulated for the same 128 U.S. patients in the quality of life example of Section 4. Each entry is based on 104 replicates

Parameter Bias Standard deviation
UA PA OR IPW AIPW UA PA OR IPW AIPW
OR model incorrect, PS model correct
μ00 0.57 −0.19 0.14 −0.03 0.02 0.11 0.35 0.29 0.62 0.44
μ01 −0.08 0.07 −0.08 −0.03 −0.02 0.11 0.19 0.17 0.28 0.23
μ10 0.00 −0.59 −0.23 −0.06 −0.05 0.07 0.31 0.29 1.56 0.73
μ11 −0.08 0.13 0.05 0.00 0.00 0.07 0.12 0.12 0.13 0.13
δ·0 −0.57 −0.40 −0.37 −0.03 −0.06 0.13 0.47 0.40 1.73 0.86
δ·1 0.00 0.06 0.13 0.03 0.02 0.13 0.23 0.20 0.32 0.27
δ0· −0.65 0.26 −0.22 0.01 −0.04 0.00 0.42 0.34 0.67 0.50
δ1· −0.08 0.72 0.28 0.06 0.05 0.00 0.35 0.32 1.56 0.73
τ 0.57 0.46 0.50 0.06 0.09 0.00 0.55 0.46 1.75 0.89
OR model correct, PS model incorrect
μ00 0.57 −0.19 0.00 0.22 0.00 0.11 0.34 0.25 0.79 0.40
μ01 −0.08 0.07 0.00 −0.07 0.00 0.11 0.19 0.16 0.22 0.18
μ10 0.00 −0.59 0.00 −0.38 0.00 0.07 0.31 0.21 0.87 0.33
μ11 −0.08 0.13 0.00 0.07 0.00 0.07 0.13 0.10 0.14 0.10
δ·0 −0.56 −0.40 0.00 −0.60 0.00 0.13 0.46 0.32 1.25 0.52
δ·1 0.00 0.06 0.00 0.14 0.00 0.13 0.23 0.18 0.27 0.21
δ0· −0.65 0.27 0.00 −0.29 0.00 0.00 0.41 0.30 0.82 0.45
δ1· −0.08 0.72 0.00 0.44 −0.01 0.00 0.35 0.24 0.89 0.35
τ 0.57 0.45 0.00 0.74 0.00 0.00 0.54 0.37 1.29 0.56
both models incorrect
μ00 0.57 −0.19 0.14 0.21 0.12 0.10 0.34 0.28 0.69 0.45
μ01 −0.08 0.07 −0.08 −0.07 −0.05 0.10 0.19 0.17 0.23 0.20
μ10 0.00 −0.59 −0.23 −0.39 −0.24 0.07 0.31 0.29 0.77 0.43
μ11 −0.08 0.13 0.05 0.07 0.06 0.07 0.12 0.12 0.14 0.13
δ·0 −0.57 −0.40 −0.36 −0.60 −0.36 0.13 0.46 0.40 1.12 0.63
δ·1 0.00 0.06 0.13 0.14 0.11 0.13 0.23 0.20 0.27 0.24
δ0· −0.65 0.26 −0.21 −0.28 −0.17 0.00 0.41 0.34 0.73 0.50
δ1· −0.08 0.72 0.28 0.46 0.30 0.00 0.35 0.32 0.79 0.46
τ 0.57 0.46 0.49 0.74 0.47 0.00 0.54 0.46 1.16 0.68