Method Arm Response rate # of patient assigned (SD) Pr(selected) #of positive response degree of imbalance Percentage of significantly imbalanced covariate
Scenario1: p1=p2=p3=0.1
EQ
(τ1=τ2=0)
A 0.1 30.21 (4.17) 0.077 8.91 0.26 0.128
B 0.1 29.97 (4.04) 0.077
C 0.1 29.83 (4.21) 0.075
RA
(τ1=1,τ2=0)
A 0.1 29.17 (17.51) 0.053 8.92 0.25 0.127
B 0.1 30.70 (18.01) 0.054
C 0.1 30.13 (17.97) 0.061
CA
(τ1=0,τ2=1)
A 0.1 30.11 (4.63) 0.061 8.93 0.15 0.002
B 0.1 30.12 (4.44) 0.061
C 0.1 29.77 (4.45) 0.062
RACA1 A 0.1 30.70 (14.61) 0.068 8.95 0.19 0.023
B 0.1 29.36 (14.08) 0.062
C 0.1 29.94 (14.24) 0.067
RACA2
(τ1=τ2=1)
A 0.1 29.70 (11.71) 0.056 9.15 0.17 0.002
B 0.1 30.35 (11.45) 0.061
C 0.1 29.95 (11.88) 0.06
RACA3
(τ1=1,τ2=2)
A 0.1 30.54 (9.05) 0.053 9.1 0.16 0.002
B 0.1 29.38 (8.82) 0.053
C 0.1 30.08 (9.08) 0.058
Scenario2: p1=0.1,p2=0.2,p3=0.3
EQ
(τ1=τ2=0)
A 0.1 30.11 (4.15) 0.058 17.54 0.25 0.124
B 0.2 30.00 (4.04) 0.587
C 0.3 29.89 (4.23) 0.969
RA
(τ1=1,τ2=0)
A 0.1 15.75 (7.84) 0.048 21.28 0.23 0.114
B 0.2 26.55 (15.98) 0.422
C 0.3 47.69 (17.18) 0.856
CA
(τ1=0,τ2=1)
A 0.1 29.84 (4.37) 0.061 17.96 0.14 0
B 0.2 30.35 (4.47) 0.59
C 0.3 29.81 (4.57) 0.949
RACA1 A 0.1 16.90 (6.88) 0.04 21.08 0.18 0.02
B 0.2 26.26 (11.86) 0.486
C 0.3 46.84 (13.17) 0.942
RACA2
(τ1=τ2=1)
A 0.1 18.11 (5.68) 0.047 20.87 0.16 0
B 0.2 27.45 (9.01) 0.499
C 0.3 44.44 (10.28) 0.958
RACA3
(τ1=1,τ2=2)
A 0.1 20.61 (5.82) 0.049 20.66 0.15 0
B 0.2 27.54 (8.19) 0.53
C 0.3 41.85 (9.48) 0.964
Table 1: Simulation results without early stopping.