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Table 1 The average Kolmogorov–Smirnov (KS) statistics and average p-values of covariate mean differences across all covariates between 1000 weighted and balanced datasets generated respectively by quasi-rerandomization and rerandomization. The average Monte Carlo standard errors (MCSEs) are 0.001 and 0.005 for the average KS statistics and the average p-values, respectively

From: Quasi-rerandomization for observational studies

Scenario

\(p_a\)

\(r=1\)

\(r=2\)

  

KS

p-value

KS

p-value

1

0.1

0.083

0.124

0.081

0.129

 

0.5

0.073

0.150

0.071

0.148

 

1

0.068

0.161

0.067

0.157

2

0.1

0.084

0.133

0.080

0.133

 

0.5

0.075

0.135

0.071

0.160

 

1

0.069

0.151

0.066

0.160

3

0.1

0.084

0.127

0.082

0.124

 

0.5

0.074

0.144

0.072

0.142

 

1

0.068

0.154

0.067

0.157