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. 2019 Jan 16;38(11):2013–2029. doi: 10.1002/sim.8084

Table 3.

Results of simulation study, when omitting X6 (“prognostic variable,” ie, related only to potential outcomes) from all analysis. Bias (standard deviation, SD) and mean squared error (MSE) of estimates

Generalised Propensity Score Analysis Generalised prognostic score analysis
Subclassification Full Matching Effect Modifier Included Effect Modifier (Wrongfully) Ignored
Subclassification Full Matching Subclassification Full Matching
Bias MSE Bias MSE Bias MSE Bias MSE Bias MSE Bias MSE
(SD) ×1000 (SD) ×1000 (SD) ×1000 (SD) ×1000 (SD) ×1000 (SD) ×1000
ATEB,A −0.009 0.5702 0.000 0.8103 −0.005 0.4787 −0.002 0.6485 −0.005 0.4742 −0.001 0.6368
(0.022) (0.028) (0.021) (0.025) (0.021) (0.025)
ATEC,A −0.006 0.9832 0.000 1.4841 −0.004 0.7793 0.001 1.2774 −0.001 0.7520 0.005 1.3421
(0.031) (0.039) (0.028) (0.036) (0.027) (0.036)
ATEB,C −0.002 0.9811 0.000 1.6842 −0.001 0.7598 −0.003 1.4801 −0.004 0.7625 −0.006 1.5943
(0.031) (0.041) (0.028) (0.038) (0.027) (0.039)
ATTB,A −0.025 1.0852 −0.012 0.9704 −0.009 0.4608 0.000 0.5505 −0.009 0.4541 0.000 0.5192
(0.022) (0.029) (0.020) (0.023) (0.019) (0.023)
ATTC,A 0.001 0.9042 0.016 1.6300 −0.009 0.8740 −0.001 0.9912 −0.009 0.8486 0.000 1.0268
(0.030) (0.037) (0.028) (0.031) (0.028) (0.032)
ATTB,C *
ATRB,A −0.009 0.5702 0.000 0.8103 −0.005 0.4787 −0.002 0.6485 −0.005 0.4742 −0.001 0.6368
(0.022) (0.028) (0.021) (0.025) (0.021) (0.025)
ATRC,A −0.006 0.9832 0.000 1.4841 −0.004 0.7793 0.001 1.2774 −0.001 0.7520 0.005 1.3421
(0.031) (0.039) (0.028) (0.036) (0.027) (0.036)
ATRB,C −0.002 0.9811 0.000 1.6842 −0.001 0.7598 −0.003 1.4801 −0.004 0.7625 −0.006 1.5943
(0.031) (0.041) (0.028) (0.038) (0.027) (0.039)
*

Due to nontransitivity, ATTB,C was not estimated.