Journal of Probability and Statistics

Research Article

Balancing Treatment Allocation over Continuous Covariates: A New Imbalance Measure for Minimization

Table 1

Comparison of 𝐸 𝐷 a l l , 𝐸 𝐷 k s , and 𝐸 𝐷 m a x for 𝑝 = 2 / 3 .
  𝐸 𝐷 a l l (s.e.) 𝐸 𝐷 k s (s.e.) 𝐸 𝐷 m a x (s.e.)
EFRON 1.28 (.023).212 (.0009)9.03 (.031)
K-S 6.65 (.072).137 (.0005)10.22 (.058)
DSCRT   
  𝑚 = 2 2.17 (.029).178 (.0007)8.52 (.030)
  𝑚 = 4 2.94 (.036).161 (.0006)8.18 (.030)
  𝑚 = 8 3.76 (.042).159 (.0007)8.40 (.034)
MAX-IMB 2.36 (.029).159 (.0006)7.38 (.025)
RANK-SUM 3.25 (.037).205 (.0009)9.82 (.039)
WGT-AVE   
  𝑐 0 = 2 1.67 (.028).183 (.0008)8.48 (.030)
  𝑐 0 = 4 2.40 (.036).172 (.0008)8.47 (.031)
  𝑐 0 = 6 3.06 (.041).167 (.0007)8.62 (.034)