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. 2017 Sep 26;19(4):407–425. doi: 10.1093/biostatistics/kxx045

Table 2.

Results from simulation 1 and 2 (N=500). In the imputation and dropout models of method (1), Inline graphic is modeled as a covariate, and in the imputation and dropout models of method (2), Inline graphic is stratified on.

(a) Bias (Inline graphic), standardized bias (s-bias) and standard error (Inline graphic) from simulation 1
Parameter Inline graphic Inline graphic Inline graphic Inline graphic Inline graphic Inline graphic Inline graphic Inline graphic
  bias s-bias SE bias s-bias SE bias s-bias SE bias s-bias SE bias s-bias SE bias s-bias SE bias s-bias SE bias s-bias SE
CCInline graphic 30.7 101.0 11.6 5.4 13.8 16.7 Inline graphic14.0 Inline graphic32.4 21.2 Inline graphic64.1 Inline graphic130.8 27.2 Inline graphic8.1 Inline graphic20.8 16.4 Inline graphic8.0 Inline graphic15.9 22.9 4.0 7.2 28.0 12.0 19.3 35.1
IEEInline graphic 16.1 97.9 16.4 31.7 134.7 23.5 34.6 109.7 31.5 44.6 105.3 42.3 1.5 6.5 23.0 Inline graphic5.2 Inline graphic15.7 33.5 Inline graphic6.7 Inline graphic16.3 41.2 Inline graphic4.5 Inline graphic8.3 54.7
IPWInline graphicInline graphic Inline graphic0.3 Inline graphic1.6 16.0 Inline graphic0.7 Inline graphic3.0 23.2 Inline graphic0.8 Inline graphic2.4 32.5 0.1 0.3 46.3 0.1 0.5 23.2 0.4 1.3 34.8 1.0 2.4 44.0 1.0 1.7 60.8
IPWInline graphicInline graphic Inline graphic0.3 Inline graphic1.6 16.0 Inline graphic0.8 Inline graphic3.3 23.2 Inline graphic0.9 Inline graphic2.7 32.4 0.5 1.0 46.4 0.1 0.5 23.2 0.5 1.3 34.9 1.1 2.5 44.1 0.8 1.3 61.2
IPWInline graphic (1)Inline graphic Inline graphic0.3 Inline graphic1.9 15.9 Inline graphic0.8 Inline graphic3.2 23.3 Inline graphic0.8 Inline graphic2.4 32.6 0.1 0.3 46.3 0.1 0.5 23.2 0.5 1.3 34.8 1.0 2.3 44.0 1.0 1.7 60.9
IPWInline graphic (2)Inline graphic Inline graphic0.4 Inline graphic2.3 15.7 Inline graphic1.0 Inline graphic4.0 23.8 Inline graphic0.6 Inline graphic2.0 32.9 0.5 1.0 46.4 0.1 0.3 22.7 0.6 1.7 35.1 0.8 1.8 44.5 0.8 1.3 61.2
AIPWInline graphicInline graphic Inline graphic0.2 Inline graphic1.5 15.2 Inline graphic1.1 Inline graphic5.1 22.2 Inline graphic1.3 Inline graphic4.2 30.1 Inline graphic1.3 Inline graphic2.9 43.1 0.1 0.3 21.2 0.9 3.0 32.0 1.5 3.8 40.0 2.2 3.9 55.5
AIPWInline graphic(1)Inline graphic Inline graphic0.3 Inline graphic1.7 15.1 Inline graphic1.3 Inline graphic5.8 22.2 Inline graphic1.4 Inline graphic4.8 29.8 Inline graphic0.9 Inline graphic2.1 43.2 0.0 0.2 21.0 1.0 3.0 31.8 1.6 4.1 39.8 1.9 3.4 55.6
AIPWInline graphic(2)Inline graphic Inline graphic0.3 Inline graphic2.0 15.1 Inline graphic1.3 Inline graphic5.8 22.6 Inline graphic1.3 Inline graphic4.2 30.2 Inline graphic1.0 Inline graphic2.3 43.2 0.0 0.0 21.0 0.9 2.7 32.2 1.4 3.6 40.4 2.0 3.6 55.7
LIInline graphicInline graphic Inline graphic0.3 Inline graphic1.6 15.3 Inline graphic4.4 Inline graphic20.2 21.8 Inline graphic10.5 Inline graphic36.5 28.7 Inline graphic17.8 Inline graphic43.9 40.5 0.1 0.5 21.2 1.1 3.5 31.0 4.8 12.6 37.9 7.0 13.6 51.4
LIInline graphic(1)Inline graphic Inline graphic0.4 Inline graphic2.5 15.1 Inline graphic2.3 Inline graphic10.7 21.8 Inline graphic1.0 Inline graphic3.6 28.9 Inline graphic1.6 Inline graphic3.9 40.8 0.2 0.8 21.0 1.5 4.9 30.8 1.6 4.2 37.9 2.4 4.7 51.4
LIInline graphic(2)Inline graphic Inline graphic0.4 Inline graphic2.9 15.2 Inline graphic1.7 Inline graphic7.8 22.0 Inline graphic1.5 Inline graphic5.1 29.7 Inline graphic1.4 Inline graphic3.4 41.4 0.2 0.8 21.1 1.4 4.6 31.2 1.8 4.5 39.0 2.4 4.6 52.4
MIInline graphicInline graphic Inline graphic0.4 Inline graphic2.9 15.2 Inline graphic5.3 Inline graphic24.3 21.9 Inline graphic12.0 Inline graphic41.7 28.8 Inline graphic19.7 Inline graphic48.7 40.4 0.1 0.4 21.0 1.2 3.8 31.2 5.0 13.2 38.1 7.3 14.2 51.4
MIInline graphic(1)Inline graphic Inline graphic0.6 Inline graphic4.0 15.2 Inline graphic1.7 Inline graphic7.8 21.8 1.3 4.5 29.0 1.7 4.2 41.0 0.4 1.7 21.1 1.7 5.5 30.8 1.3 3.5 37.9 1.6 3.2 51.5
MIInline graphic(2)Inline graphic Inline graphic0.3 Inline graphic2.2 15.2 Inline graphic2.4 Inline graphic10.8 22.1 Inline graphic3.1 Inline graphic10.4 29.8 Inline graphic3.0 Inline graphic7.3 41.4 0.2 0.9 21.1 1.6 5.1 31.4 1.9 4.7 39.1 2.6 4.9 52.6
Inline graphicbias, standardized bias, and standard error for CC (complete case): Inline graphic and Inline graphic
Inline graphicbias, standardized bias, and standard error for all other methods: Inline graphic and Inline graphic.
(b) Bias (Inline graphic), standardized bias (s-bias) and standard error (Inline graphic) from simulation 2
Parameter Inline graphic Inline graphic Inline graphic Inline graphic Inline graphic Inline graphic Inline graphic Inline graphic
  bias s-bias SE bias s-bias SE bias s-bias SE bias s-bias SE bias s-bias SE bias s-bias SE bias s-bias SE bias s-bias SE
CCInline graphic 25.7 92.0 11.6 7.2 20.5 16.7 0.9 2.2 21.2 Inline graphic39.9 Inline graphic88.9 27.2 Inline graphic5.9 Inline graphic16.2 16.4 Inline graphic5.5 Inline graphic12.1 22.9 Inline graphic1.9 Inline graphic3.7 28.0 6.8 11.9 35.1
IEE 15.7 97.5 16.1 37.0 159.7 23.2 50.7 169.4 29.9 59.7 153.2 38.9 2.4 10.7 22.4 Inline graphic4.1 Inline graphic12.8 32.0 Inline graphic13.6 Inline graphic34.0 40.0 Inline graphic9.7 Inline graphic19.1 50.7
IPWInline graphic Inline graphic0.9 Inline graphic5.5 15.6 3.1 13.0 23.6 13.3 42.2 31.5 11.5 28.1 41.0 1.1 5.0 22.7 2.0 6.0 32.9 Inline graphic5.4 Inline graphic12.7 42.4 Inline graphic4.1 Inline graphic7.4 55.9
IPWInline graphic Inline graphic0.9 Inline graphic5.5 15.6 2.3 9.9 23.7 11.6 36.2 32.1 18.5 44.7 41.4 1.1 5.0 22.7 Inline graphic0.2 Inline graphic0.7 33.0 Inline graphic10.4 Inline graphic23.9 43.7 Inline graphic14.3 Inline graphic25.1 57.0
IPWInline graphic (1) Inline graphic1.3 Inline graphic8.5 15.8 Inline graphic17.4 Inline graphic62.9 27.7 3.2 8.3 38.4 24.8 63.4 39.0 1.0 4.6 22.7 9.4 25.0 37.5 Inline graphic12.1 Inline graphic22.9 52.6 Inline graphic10.0 Inline graphic18.8 53.4
IPWInline graphic (2) Inline graphic3.6 Inline graphic21.7 16.4 3.1 12.9 23.9 1.6 4.4 36.1 18.5 44.7 41.4 3.6 15.7 23.3 Inline graphic7.3 Inline graphic21.3 34.4 Inline graphic8.0 Inline graphic16.7 47.9 Inline graphic14.3 Inline graphic25.1 57.0
AIPWInline graphic Inline graphic0.8 Inline graphic5.3 14.8 1.9 8.7 22.3 9.2 31.2 29.6 18.5 46.1 40.2 1.0 4.9 20.5 0.4 1.5 30.3 Inline graphic5.0 Inline graphic12.8 39.0 Inline graphic12.2 Inline graphic23.6 51.7
AIPWInline graphic (1) Inline graphic1.9 Inline graphic13.0 14.9 Inline graphic2.3 Inline graphic9.7 23.8 Inline graphic3.7 Inline graphic11.7 31.3 14.2 38.0 37.5 3.1 15.1 20.4 3.4 10.5 32.3 1.3 3.2 41.8 Inline graphic8.2 Inline graphic16.9 48.5
AIPWInline graphic (2) Inline graphic4.7 Inline graphic30.2 15.5 Inline graphic1.5 Inline graphic6.6 23.0 Inline graphic3.2 Inline graphic9.8 32.8 14.8 37.8 39.2 5.6 26.8 21.0 2.2 6.9 31.7 0.8 1.9 42.5 Inline graphic8.9 Inline graphic17.4 51.2
LIInline graphic Inline graphic0.8 Inline graphic5.3 14.8 Inline graphic1.0 Inline graphic4.7 21.6 1.9 6.9 27.8 1.9 5.0 37.0 1.0 5.0 20.3 0.9 3.2 29.4 Inline graphic1.8 Inline graphic4.9 36.7 Inline graphic3.2 Inline graphic6.8 46.7
LIInline graphic(1) Inline graphic2.0 Inline graphic13.1 14.9 Inline graphic2.6 Inline graphic11.8 21.9 Inline graphic3.5 Inline graphic12.3 28.5 13.9 37.5 37.0 3.1 15.2 20.3 2.9 9.8 29.6 2.1 5.8 37.0 Inline graphic7.2 Inline graphic15.5 46.7
LIInline graphic(2) Inline graphic4.6 Inline graphic29.7 15.4 Inline graphic2.1 Inline graphic9.6 22.4 Inline graphic4.1 Inline graphic12.8 32.2 13.6 36.4 37.4 5.4 26.1 20.6 3.1 10.2 30.4 1.9 4.6 41.1 Inline graphic7.3 Inline graphic15.3 47.6
MIInline graphic Inline graphic1.0 Inline graphic7.0 14.8 Inline graphic1.8 Inline graphic8.2 21.7 0.7 2.4 28.0 0.3 0.7 37.1 0.9 4.3 20.4 0.9 3.0 29.6 Inline graphic1.8 Inline graphic5.0 37.1 Inline graphic3.2 Inline graphic6.9 46.9
MIInline graphic(1) Inline graphic2.3 Inline graphic15.2 14.9 Inline graphic1.8 Inline graphic8.3 22.0 Inline graphic1.4 Inline graphic5.0 28.7 16.0 43.1 37.0 3.5 17.0 20.3 3.0 9.9 29.7 2.1 5.6 37.1 Inline graphic7.3 Inline graphic15.5 47.0
MIInline graphic(2) Inline graphic4.7 Inline graphic30.3 15.3 Inline graphic2.4 Inline graphic10.5 22.4 Inline graphic4.4 Inline graphic13.5 32.2 14.1 37.5 37.5 5.5 26.6 20.6 3.2 10.7 30.3 2.1 5.1 41.3 Inline graphic7.2 Inline graphic15.1 47.7
Inline graphicbias, standardized bias, and standard error for CC (complete case): Inline graphic and Inline graphic.
bias, standardized bias, and standard error for all other methods: Inline graphic and Inline graphic.