. Author manuscript; available in PMC: 2022 Dec 7.

Published in final edited form as: Stat Methods Med Res. 2021 Jul 7;30(9):2057–2074. doi: 10.1177/09622802211017592

Table 4.

Type I error control of G^ρ statistics for scenario II censoring (B = 10, 000, n₁ = n₂ = 120).

ξ ₁	ξ ₂	ϕ ₁	ϕ ₂	ω ₁	ω ₂	ρ = 0	ρ = 0.5	ρ = 1.0	ρ = 2.0
55.7	55.7	0	0	55.7	55.7	0.047	0.047	0.048	0.048
53.0	53.0	10	10	60.1	60.1	0.049	0.049	0.049	0.049
50.4	50.3	20	20	64.6	64.5	0.045	0.046	0.045	0.046
47.7	47.7	30	30	69.0	69.0	0.054	0.052	0.052	0.053
45.1	45.0	40	40	73.5	73.5	0.048	0.049	0.048	0.047
55.7	53.0	0	10	55.7	60.1	0.065	0.066	0.065	0.065
53.1	50.4	10	20	60.2	64.6	0.067	0.066	0.067	0.066
50.4	47.7	20	30	64.6	69.0	0.068	0.069	0.069	0.068
47.7	45.0	30	40	69.0	73.4	0.082	0.081	0.08	0.079
53.0	55.6	10	0	60.1	55.6	0.067	0.068	0.069	0.067
50.3	53.0	20	10	64.6	60.1	0.065	0.067	0.067	0.068
47.6	50.3	30	20	69.0	64.5	0.077	0.078	0.078	0.078
44.9	47.6	40	30	73.4	69.0	0.076	0.076	0.077	0.078
55.7	50.3	0	20	55.7	64.5	0.120	0.12	0.12	0.120
53.0	47.6	10	30	60.1	69.0	0.132	0.133	0.134	0.131
50.4	45.0	20	40	64.6	73.5	0.146	0.149	0.15	0.150
50.3	55.6	20	0	64.5	55.6	0.120	0.123	0.122	0.122
47.6	53.0	30	10	69.0	60.1	0.132	0.135	0.137	0.135
44.9	50.3	40	20	73.4	64.5	0.149	0.152	0.154	0.151
55.7	47.6	0	30	55.7	69.0	0.221	0.225	0.226	0.224
53.1	45.0	10	40	60.2	73.4	0.257	0.261	0.262	0.257
47.6	55.8	30	0	69.0	55.8	0.222	0.226	0.226	0.220
45.0	53.0	40	10	73.4	60.2	0.257	0.260	0.260	0.258

T₁ and T₂ ~ Exp(σ₁ = σ₂ = 5.873). ξ_i, i = 1, 2 represents the percentage of observations censored due to insufficient follow-up; ϕ_i, i = 1, 2 represents the percentage of observations censored due to random censoring; ω_i, i = 1, 2 represents the percentage of observations censored due to insufficient follow-up and random censoring.