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. Author manuscript; available in PMC: 2017 May 30.
Published in final edited form as: Stat Med. 2015 Dec 17;35(12):1985–1999. doi: 10.1002/sim.6842

Table 1.

%Bias, coverage and relative efficiency for estimated treatment effect on cost

normal lognormal gamma mixed

light censoring %bias Coverage MSER %bias Coverage MSER %bias Coverage MSER %bias Coverage MSER

naive regression −40.56 0.09 125.14 −34.32 0.04 42.32 −30.23 0.04 4.15 −34.31 0.05 29.36
covariates adjustmt: normal 0.11 0.94 2.34 −12.81 0.52 12.65 −7.86 0.84 0.83 −14.15 0.41 5.79
covariates adjustmt: lognormal 1.82 0.36 3.66 −1.48 0.95 2.80 18.74 0.74 2.43 −15.67 0.17 6.43
covariates adjustmt: gamma 0.35 0.95 2.36 2.62 0.94 1.19 0.35 0.96 0.62 −11.45 0.49 3.90
stratification −1.43 0.84 10.33 −8.99 0.85 5.84 −3.30 0.90 1.15 −4.73 0.89 3.23
IPTW −0.81 0.99 49.38 −2.72 0.90 8.18 −0.74 0.92 1.74 −0.38 0.95 6.80
IPTW: normalized 0.13 0.94 39.94 −0.03 0.90 7.26 −0.09 0.90 1.61 −0.08 0.93 5.75
DR: normal 0.02 0.97 1.00 0.83 0.92 1.85 −0.36 0.91 1.00 0.44 0.95 1.34
DR: lognormal −0.02 0.96 1.08 0.36 0.94 1.01 −0.42 0.92 1.04 0.03 0.97 1.03
DR: gamma −0.02 0.96 1.07 0.91 0.94 1.00 −0.36 0.92 1.00 0.04 0.94 1.00
DR: SL in regression model 0.01 0.97 1 (ref) 0.96 0.96 1 (ref) 0.07 0.94 1 (ref) 0.01 0.93 1 (ref)
moderate censoring
naive regression −67.59 0.04 188.13 −25.61 0.03 35.21 −44.57 0.02 5.59 −47.69 0.08 32.93
covariates adjustmt: normal 0.56 0.92 2.92 −12.18 0.69 7.10 −8.12 0.87 0.76 −14.69 0.48 4.14
covariates adjustmt: lognormal 2.33 0.52 4.14 −1.49 0.97 4.47 33.36 0.59 3.76 −13.47 0.51 3.43
covariates adjustmt: gamma 0.78 0.94 2.95 2.55 0.93 1.07 0.52 0.96 0.59 −11.78 0.60 2.86
stratification −24.97 0.85 54.56 −2.66 0.92 7.05 −12.30 0.82 1.80 −14.08 0.78 6.05
IPTW −1.68 0.90 92.04 2.14 0.96 10.49 −6.58 0.90 2.36 −5.51 0.90 8.49
IPTW: normalized 0.73 0.90 86.74 2.10 0.95 10.08 −1.27 0.89 2.24 −1.33 0.88 8.14
DR: normal −0.70 0.92 1.00 1.93 0.94 1.82 −1.32 0.95 1.01 −1.90 0.94 1.30
DR: lognormal −0.82 0.94 1.08 2.01 0.95 1.00 −2.17 0.95 1.04 −1.86 0.94 1.03
DR: gamma −0.79 0.94 1.08 2.01 0.95 0.98 −1.15 0.96 1.01 −1.72 0.94 1.00
DR: SL in regression model −0.73 0.96 1 (ref) 1.81 0.97 1 (ref) −1.12 0.97 1 (ref) −1.41 0.95 1 (ref)