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Table 5 The bias and RMSE for the sample average treatment effect using quasi-rerandomization (QReR) and rerandomization (ReR) on the IHDP datasets, under the acceptance probability \(p_a= 0.1, 0.5, 1\)

From: Quasi-rerandomization for observational studies

\(p_a\)

Method

Bias

RMSE

0.1

\(\textrm{QReR}_{\textrm{S}}\)

-0.068

0.29

 

\(\textrm{QReR}_{\textrm{M}}\)

-0.016

0.19

 

ReR

-0.008

0.21

0.5

\(\textrm{QReR}_{\textrm{S}}\)

0.019

0.34

 

\(\textrm{QReR}_{\textrm{M}}\)

-0.035

0.19

 

ReR

0.017

0.18

1

\(\textrm{QReR}_{\textrm{S}}\)

-0.104

0.34

 

\(\textrm{QReR}_{\textrm{M}}\)

-0.031

0.18

 

ReR

-0.022

0.25