Weighted Lin-Wang Tests for Crossing Hazards

Table 4

Empirical powers of the Lin-Wang test, and three weighted variants, under Scenario 2.

Sample sizes	LW	LW𝑤1	LW𝑤2	LW𝑤3
(20,20)	0.089	0.039	0.053	0.097
(30,30)	0.157	0.046	0.084	0.167
(40,40)	0.222	0.057	0.116	0.239
(50,50)	0.314	0.077	0.169	0.339
(60,60)	0.402	0.106	0.225	0.433
(70,70)	0.484	0.122	0.273	0.511
(80,80)	0.549	0.151	0.338	0.583
(90,90)	0.612	0.173	0.379	0.644
(100,100)	0.675	0.212	0.431	0.700

Notes: Sample sizes are given for group 1, followed by group 2. LW denotes the Lin-Wang test, and LW_𝑤𝑖 denotes the weighted version of the LW test, with weights 𝑤_𝑖 as described in the text. The empirical powers of the two-sided test statistics were estimated from 5000 simulations, at nominal alpha level 0.05.