Method Arm Response rate Sample size # of patient assigned (SD) Pr(selected) degree of imbalance Percentage of significantly imbalanced covariate
Scenario1: p1=p2=p3=0.1
EQ
(τ1=τ2=0)
A 0.1 60.12 19.85 (13.69) 0.056 0.35 0.11
B 0.1 20.11 (13.71) 0.061
C 0.1 20.15 (13.69) 0.057
RA
(τ1=1,τ2=0)
A 0.1 58.06 19.30 (14.18) 0.061 0.33 0.097
B 0.1 19.67 (14.19) 0.063
C 0.1 19.09 (13.98) 0.06
CA
(τ1=0,τ2=1)
A 0.1 61.01 20.89 (13.69) 0.06 0.29 0.018
B 0.1 20.11 (13.58) 0.061
C 0.1 20.59 (13.65) 0.063
RACA1 A 0.1 57.01 18.45 (14.13) 0.064 0.34 0.079
B 0.1 19.38 (14.03) 0.068
C 0.1 19.16 (14.17) 0.062
RACA2
(τ1=τ2=1)
A 0.1 57.39 19.00 (13.95) 0.051 0.32 0.038
B 0.1 19.18 (14.01) 0.052
C 0.1 19.21 (14.07) 0.056
RACA3
(τ1=1,τ2=2)
A 0.1 60.13 20.62 (14.06) 0.052 0.3 0.032
B 0.1 19.90 (14.03) 0.057
C 0.1 19.60 (14.06) 0.048
Scenario 2: p1=0.1,p2=0.2,p3=0.3
EQ
(τ1=τ2=0)
A 0.1 68.48 19.89 (13.33) 0.056 0.32 0.154
B 0.2 25.44 (12.69) 0.538
C 0.3 23.16 (12.10) 0.881
RA
(τ1=1,τ2=0)
A 0.1 63.71 17.16 (14.03) 0.056 0.32 0.153
B 0.2 23.33 (13.93) 0.439
C 0.3 23.22 (11.97) 0.818
CA
(τ1=0,τ2=1)
A 0.1 70.51 20.28 (13.33) 0.057 0.25 0.018
B 0.2 26.41 (12.13) 0.521
C 0.3 23.81 (11.93) 0.913
RACA1 A 0.1 65.97 17.98 (14.12) 0.044 0.3 0.071
B 0.2 24.56 (13.30) 0.511
C 0.3 23.43 (12.02) 0.855
RACA2
(τ1=τ2=1)
A 0.1 67.67 17.94 (14.11) 0.048 0.27 0.041
B 0.2 24.92 (13.24) 0.525
C 0.3 24.81 (11.66) 0.878
RACA3
(τ1=1,τ2=2)
A 0.1 68.49 18.89 (14.13) 0.052 0.26 0.038
B 0.2 25.10 (13.03) 0.533
C 0.3 24.50 (11.78) 0.886
Table 2: Simulation results with early stopping.