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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 %)