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Table 2 Distribution of ATE and ATT weights for the reference configuration

From: On the use of propensity scores in case of rare exposure

   ATE     ATT    
   Weights     Weights    
y E Mean Var Min Max Mean Var Min Max
10 0 1.000 0.001 0.887 3.596 0.052 0.001 0.000 2.940
  1 0.995 0.383 0.064 17.072 1.000 0.000 1.000 1.000
20 0 1.000 0.001 0.922 2.305 0.052 0.001 0.000 1.436
  1 0.999 0.296 0.064 10.461 1.000 0.000 1.000 1.000
30 0 1.000 0.001 0.932 1.727 0.052 0.001 0.001 0.848
  1 0.999 0.265 0.109 10.465 1.000 0.000 1.000 1.000
  1. Mean, variance, minimum and maximum ATE and ATT weights according to type of weights, number of events in the exposed group y and exposure status E for one scenario (p=5 %, σ U,B =σ U,C =0.3, σ B,C =0, \(\exp (\delta _{B}) = \exp (\delta _{C}) = 1.5\), H R=1, 2 confounding factors, censoring rate r c =50 %)