Table 3.

Impact of time-trend on operating characteristics of BRAR with early stopping rule maximum sample size=302, burn-in size=50, allocation update frequency=28, Efficacy stop=0.99

Randomization algorithm	Efficacy profile	Trend pattern	Sample size	Efficacy stopping in favor of Arm 1 Arm 2	% better arm (SD)	Bias(SD)
Fixed equal (1:1)	P1=P2=0.3	δ1=0, δ2=0	289 (51)	0.04	0.036	0.50 (0.031)	0.0007(0.084)
		δ1=0.1, δ2=0.1	289 (50)	0.038	0.037	0.50 (0.031)	0.0009(0.083)
		δ1=0.2, δ2=0.2	289 (49)	0.039	0.036	0.50 (0.031)	0.0008(0.084)
		δ1=0, δ2=0.1	286 (52)	0.023	0.087	0.50 (0.032)	−0.047 (0.083)
	P1=0.4, P2=0.3	δ1=0, δ2=0	246 (84)	0.382	0.001	0.50 (0.036)	0.029 (0.096)
		δ1=0.1, δ2=0.1	246 (85)	0.371	0.002	0.50 (0.037)	0.029 (0.099)
		δ1=0.2, δ2=0.2	246 (85)	0.374	0.002	0.50 (0.036)	0.029 (0.097)
		δ1=0, δ2=0.1	260 (82)	0.237	0.002	0.50 (0.035)	−0.014(0.108)
	P1=0.5, P2=0.3	δ1=0, δ2=0	148 (81)	0.899	0	0.50 (0.048)	0.044 (0.094)
		δ1=0.1, δ2=0.1	147 (82)	0.895	0	0.50 (0.048)	0.049 (0.097)
		δ1=0.2, δ2=0.2	149 (83)	0.887	0	0.50 (0.049)	0.047 (0.097)
		δ1=0, δ2=0.1	164 (95)	0.767	0	0.50 (0.047)	0.028 (0.112)
BRAR(n/2N)	P1=P2=0.3	δ1=0, δ2=0	289 (50)	0.034	0.038	0.50 (0.077)	−0.0014 (0.083)
		δ1=0.1, δ2=0.1	288 (50)	0.04	0.046	0.50 (0.079)	−0.0008 (0.089)
		δ1=0.2, δ2=0.2	286 (52)	0.058	0.055	0.50 (0.082)	−0.0002 (0.098)
		δ1=0, δ2=0.1	286 (51)	0.025	0.09	0.47 (0.075)	−0.048 (0.085)
	P1=0.4, P2=0.3	δ1=0, δ2=0	248 (84)	0.355	0.001	0.58 (0.064)	0.028 (0.094)
		δ1=0.1, δ2=0.1	244 (84)	0.411	0.002	0.58 (0.065)	0.037 (0.096)
		δ1=0.2, δ2=0.2	238 (85)	0.469	0.003	0.57 (0.065)	0.046 (0.097)
		δ1=0, δ2=0.1	260 (81)	0.241	0.002	0.56 (0.069)	−0.010 (0.108)
	P1=0.5, P2=0.3	δ1=0, δ2=0	150 (84)	0.874	0	0.56 (0.067)	0.046 (0.097)
		δ1=0.1, δ2=0.1	145 (80)	0.909	0	0.56 (0.067)	0.052 (0.092)
		δ1=0.2, δ2=0.2	143 (77)	0.928	0	0.56 (0.065)	0.054 (0.091)
		δ1=0, δ2=0.1	163 (95)	0.772	0	0.57 (0.070)	0.032 (0.109)
BRAR(1/2,σ2)	P1=P2=0.3	δ1=0, δ2=0	290 (47)	0.036	0.034	0.50 (0.095)	0.0008 (0.082)
		δ1=0.1, δ2=0.1	288 (51)	0.047	0.044	0.50 (0.096)	0.0013 (0.091)
		δ1=0.2, δ2=0.2	284 (55)	0.061	0.061	0.50 (0.099)	0.0002 (0.101)
		δ1=0, δ2=0.1	287 (51)	0.024	0.09	0.46 (0.093)	−0.048 (0.086)
	P1=0.4, P2=0.3	δ1=0, δ2=0	251 (82)	0.344	0.003	0.61(0.076)	0.029 (0.097)
		δ1=0.1, δ2=0.1	245 (84)	0.396	0.002	0.61 (0.076)	0.037 (0.097)
		δ1=0.2, δ2=0.2	239 (85)	0.453	0.003	0.61 (0.076)	0.045 (0.100)
		δ1=0, δ2=0.1	260 (80)	0.24	0.004	0.59 (0.083)	−0.009 (0.110)
	P1=0.5, P2=0.3	δ1=0, δ2=0	157 (86)	0.858	0	0.63 (0.078)	0.046 (0.097)
		δ1=0.1, δ2=0.1	150 (83)	0.89	0	0.62 (0.080)	0.054 (0.096)
		δ1=0.2, δ2=0.2	144 (78)	0.919	0	0.62 (0.077)	0.059 (0.091)
		δ1=0, δ2=0.1	170 (96)	0.747	0	0.62 (0.079)	0.030 (0.110)
BRAR(1/2)	P1=P2=0.3	δ1=0, δ2=0	290 (49)	0.032	0.038	0.50 (0.129)	−0.0022 (0.086)
		δ1=0.1, δ2=0.1	287 (52)	0.049	0.05	0.50 (0.135)	0.0001 (0.096)
		δ1=0.2, δ2=0.2	283 (55)	0.069	0.07	0.50 (0.138)	−0.0016 (0.107)
		δ1=0, δ2=0.1	287 (50)	0.023	0.085	0.46 (0.128)	−0.049 (0.088)
	P1=0.4, P2=0.3	δ1=0, δ2=0	255 (81)	0.316	0.002	0.64 (0.102)	0.028 (0.096)
		δ1=0.1, δ2=0.1	246 (83)	0.394	0.003	0.64 (0.100)	0.041 (0.096)
		δ1=0.2, δ2=0.2	237 (84)	0.481	0.003	0.64 (0.102)	0.053 (0.098)
		δ1=0, δ2=0.1	262 (79)	0.232	0.004	0.62 (0.111)	−0.007 (0.110)
	P1=0.5, P2=0.3	δ1=0, δ2=0	162 (90)	0.82	0	0.65 (0.099)	0.046 (0.096)
		δ1=0.1, δ2=0.1	153 (84)	0.882	0	0.65 (0.098)	0.054 (0.091)
		δ1=0.2, δ2=0.2	146 (79)	0.917	0	0.64 (0.096)	0.060 (0.088)
		δ1=0, δ2=0.1	176 (98)	0.712	0	0.65 (0.101)	0.029 (0.110)