. 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 2.

Type I error control of G^ρ statistics for scenario I 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	0.048	0.049	0.049
55.7	55.7	10	10	60.1	60.1	0.049	0.049	0.049	0.048
55.7	55.7	20	20	64.5	64.5	0.047	0.047	0.046	0.046
55.7	55.7	30	30	69.0	69.0	0.048	0.048	0.047	0.047
55.7	55.7	40	40	73.4	73.4	0.050	0.050	0.050	0.049
55.7	55.7	0	10	55.7	60.1	0.075	0.075	0.075	0.072
55.6	55.7	10	20	60.1	64.6	0.079	0.078	0.078	0.076
55.7	55.7	20	30	64.6	69.0	0.080	0.080	0.080	0.080
55.7	55.7	30	40	69.0	73.4	0.090	0.090	0.090	0.086
55.7	55.7	10	0	60.1	55.7	0.075	0.074	0.074	0.072
55.7	55.8	20	10	64.5	60.2	0.074	0.074	0.074	0.073
55.7	55.6	30	20	69.0	64.5	0.086	0.086	0.086	0.081
55.7	55.6	40	30	73.4	68.9	0.094	0.094	0.093	0.091
55.7	55.7	0	20	55.7	64.5	0.153	0.152	0.151	0.141
55.8	55.6	10	30	60.2	68.9	0.168	0.166	0.164	0.157
55.7	55.8	20	40	64.6	73.5	0.195	0.195	0.192	0.188
55.7	55.8	20	0	64.6	55.8	0.158	0.159	0.158	0.151
55.7	55.6	30	10	69.0	60.0	0.174	0.174	0.172	0.164
55.7	55.7	40	20	73.4	64.5	0.200	0.201	0.196	0.187
55.7	55.7	0	30	55.7	69.0	0.310	0.309	0.303	0.292
55.8	55.7	10	40	60.2	73.4	0.358	0.354	0.349	0.337
55.7	55.7	30	0	69.0	55.7	0.316	0.312	0.307	0.295
55.7	55.7	40	10	73.4	60.2	0.350	0.349	0.345	0.333

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.