Table B.1.

Sample sizes, number of events, and empirical powers in a group-sequential trial with two co-primary outcomes under an early time-dependent association (Gumbel copula).

Corr. ρj	*FSS	Group-sequential design					Empirical power (%)
		MSS	MEN		AEN		Both EP	At least one EP	Single EP
			OC1	OC2	OC1	OC2			OC1	OC2
0.0	830	835	168	335	141	293	80.6	99.3	95.3	84.5
0.1	824	829	166	332	139	290	80.6	99.0	95.2	84.4
0.2	818	823	165	330	138	289	80.4	98.6	95.2	83.9
0.3	812	817	164	327	137	286	80.5	98.1	94.9	83.7
0.4	805	810	163	325	136	285	80.5	97.7	94.8	83.4
0.5	799	804	161	322	134	282	80.6	97.3	94.6	83.3
0.6	792	797	160	319	133	280	80.3	96.7	94.2	82.7
0.7	786	791	159	317	132	279	80.6	96.3	94.2	82.7
0.8	780	785	158	315	132	277	80.3	96.0	94.1	82.2
0.9	776	781	157	313	131	276	80.7	95.8	94.2	82.3
0.95	775	780	157	313	131	276	80.4	95.6	94.0	82.0

^*FSS:Sample sizes required for fixed-sample design.

This table is created under the same settings and descriptions as those of Table 2 except the association between two outcomes OC1 and OC2. The joint survival distribution is modeled using the Gumbel copula which provides an early time-dependent association.