Table 2.

Comparison efficiency of the weighted log-rank test versus the standard log-rank test based on calculated sample sizes under the exponential cure model with a nominal type I error of 0.05 and power of 90% (two-sided test, uniform accrual and equal allocation).

		Weight function
Design	δ−1/γ	${\mathcal{G}}^{0,0}$	${\mathcal{G}}^{0,1}$	${\mathcal{G}}^{1,0}$	${\mathcal{G}}^{1,1}$	${\mathcal{G}}^{-1,0}$	${\mathcal{G}}^{-1,1}$
Scenario 1: η ≠ 0 γ ≠ 0
π0 = 0.1	1.2/0.4	1385	1810	1460	1620	1446	2101
λ0 = 0.1	1.3/0.5	734	966	769	866	765	1115
ta = 1	1.4/0.6	469	617	490	556	487	708
tf = 10	1.5/0.7	333	438	347	395	345	499
	1.6/0.8	253	332	264	301	261	376
	1.7/0.9	202	263	210	240	207	296
	1.8/1.0	166	216	173	197	170	242
Scenario 2: η ≠ 0 γ = 0
π0 = 0.1	1.4/0.0	801	1130	819	990	858	1337
λ0 = 0.1	1.5/0.0	562	788	574	694	598	925
ta = 1	1.6/0.0	425	594	435	525	451	692
tf = 10	1.7/0.0	340	472	348	419	359	547
	1.8/0.0	282	389	288	347	296	449
	1.9/0.0	240	330	246	295	251	379
	2.0/0.0	209	287	214	257	218	327
Scenario 3: η = 0 γ ≠ 0
π0 = 0.1	1.0/1.0	1489	1554	1720	1495	1414	1687
λ0 = 0.1	1.0/1.1	1148	1202	1321	1156	1092	1304
ta = 1	1.0/1.2	902	948	1033	910	859	1027
tf = 10	1.0/1.3	720	759	821	728	687	822
	1.0/1.4	583	617	662	591	557	667
	1.0/1.5	478	507	540	486	457	548
	1.0/1.6	396	422	446	404	379	455