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. Author manuscript; available in PMC: 2018 Nov 27.
Published in final edited form as: J Causal Inference. 2018 May 18;6(2):20160029. doi: 10.1515/jci-2016-0029

Table 4:

Bias and standard deviation of the estimated ATT.

Matching: Mean (SD)
Outcome A Outcome B Outcome C Outcome D
mean ASMD 0.310 (0.787) 0.386 (1.134) 0.997 (0.604) 1.149 (0.962)
max ASMD 0.273 (0.802) 0.362 (1.161) 0.960 (0.624) 1.135 (0.975)
median ASMD 1.617 (1.822) 1.804 (2.096) 2.027 (1.577) 2.485 (2.049)
mean KS 0.686 (1.308) 0.877 (1.620) 1.279 (1.060) 1.486 (1.441)
mean t-statistic 0.302 (0.785) 0.362 (1.133) 0.982 (0.598) 1.132 (0.966)
kernel distance 0.266 (0.763) 0.341 (1.072) 0.927 (0.595) 1.075 (0.907)
prognostic score 0.096 (0.369) 0.186 (0.699) 0.834 (0.269) 0.935 (0.419)

Inverse Probability Weighting: Mean (SD)

Outcome A Outcome B Outcome C Outcome D
mean ASMD 0.622 (0.637) 0.751 (0.858) 1.283 (0.526) 1.555 (0.786)
max ASMD 0.637 (0.699) 0.788 (0.946) 1.273 (0.555) 1.589 (0.858)
median ASMD 1.756 (1.545) 2.032 (1.791) 2.211 (1.307) 2.625 (1.666)
mean KS 0.759 (0.699) 0.930 (0.926) 1.374 (0.566) 1.711 (0.818)
mean t-statistic 0.627 (0.639) 0.760 (0.862) 1.283 (0.526) 1.562 (0.790)
kernel distance 0.613 (0.598) 0.740 (0.798) 1.273 (0.512) 1.542 (0.747)
prognostic score 0.269 (0.415) 0.373 (0.640) 1.069 (0.311) 1.205 (0.450)

Subclassification: Mean (SD)

Outcome A Outcome B Outcome C Outcome D
mean ASMD 0.648 (0.848) 0.759 (1.146) 1.288 (0.652) 1.525 (1.022)
max ASMD 0.605 (0.830) 0.709 (1.131) 1.265 (0.638) 1.488 (1.037)
median ASMD 1.961 (1.724) 2.209 (1.975) 2.400 (1.459) 2.935 (1.958)
mean KS 1.376 (1.435) 1.589 (1.715) 1.887 (1.185) 2.265 (1.605)
mean t-statistic 0.600 (0.787) 0.705 (1.082) 1.246 (0.600) 1.466 (0.961)
kernel distance 0.643 (0.607) 0.766 (0.846) 1.270 (0.487) 1.528 (0.730)
prognostic score 0.492 (0.653) 0.575 (0.984) 1.186 (0.535) 1.413 (0.875)