Table 3.

Distribution of biomarker subgroups in each treatment arm under scenarios 5 and 7 for each design: mean (standard deviation) of the allocation probability of the treatment for each subgroup is reported. Note that “sc” denotes scenarios.

sc.	Design	Arm	Subgroups Determined by $\mathit{x}=({\mathit{x}}_1,{\mathit{x}}_2)$
			(1,1)	(1,0)	(0,1)	(0,0)
5	Trad	A	0.248 (0.044)	0.250 (0.042)	0.250 (0.041)	0.252 (0.041)
		B	0.250 (0.042)	0.248 (0.043)	0.252 (0.043)	0.250 (0.042)
	RAR	A	0.252 (0.043)	0.250 (0.044)	0.250 (0.043)	0.248 (0.042)
		B	0.250 (0.041)	0.248 (0.041)	0.252 (0.042)	0.251 (0.042)
	CARA1	A	0.247 (0.071)	0.252 (0.075)	0.249 (0.074)	0.252 (0.074)
		B	0.251 (0.071)	0.252 (0.074)	0.247 (0.074)	0.250 (0.074)
	CARA2	A	0.249 (0.065)	0.254 (0.056)	0.244 (0.064)	0.253 (0.058)
		B	0.241 (0.066)	0.255 (0.058)	0.247 (0.064)	0.257 (0.059)
	BaCARA	A	0.250 (0.073)	0.248 (0.071)	0.248 (0.073)	0.254 (0.073)
		B	0.248 (0.082)	0.253 (0.087)	0.247 (0.088)	0.252 (0.085)
7	Trad	A	0.249 (0.041)	0.250 (0.042)	0.251 (0.042)	0.250 (0.042)
		B	0.250 (0.044)	0.252 (0.044)	0.250 (0.043)	0.248 (0.042)
	RAR	A	0.250 (0.043)	0.250 (0.041)	0.250 (0.042)	0.250 (0.042)
		B	0.250 (0.044)	0.251 (0.043)	0.250 (0.041)	0.250 (0.042)
	CARA1	A	0.248 (0.071)	0.246 (0.073)	0.254 (0.076)	0.253 (0.081)
		B	0.243 (0.074)	0.251 (0.079)	0.247 (0.079)	0.259 (0.086)
	CARA2	A	0.245 (0.065)	0.250 (0.061)	0.249 (0.062)	0.255 (0.059)
		B	0.246 (0.065)	0.249 (0.061)	0.249 (0.062)	0.256 (0.063)
	BaCARA	A	0.244 (0.067)	0.251 (0.067)	0.250 (0.066)	0.255 (0.074)
		B	0.252 (0.079)	0.249 (0.082)	0.246 (0.081)	0.253 (0.091)