Table 1. Empirical Type I errors for two-sample tests of correlated competing risks data.

Number of clusters	$${\mu }_1^{\text{a}}$$ a	φb	Landmark test	Gray test	Pepe–Mori test
20	0.05	0.0	0.0574	0.0541	0.0618
20	0.05	0.3	0.0510	0.0497	0.0563
20	0.05	0.6	0.0500	0.0529	0.0606
20	0.05	0.9	0.0525	0.0534	0.0625
20	0.10	0.0	0.0546	0.0514	0.0576
20	0.10	0.3	0.0533	0.0523	0.0642
20	0.10	0.6	0.0497	0.0493	0.0594
20	0.10	0.9	0.0510	0.0515	0.0538
40	0.05	0.0	0.0524	0.0499	0.0552
40	0.05	0.3	0.0519	0.0492	0.0602
40	0.05	0.6	0.0496	0.0489	0.0626
40	0.05	0.9	0.0506	0.0471	0.0639
40	0.10	0.0	0.0512	0.0490	0.0495
40	0.10	0.3	0.0462	0.0476	0.0526
40	0.10	0.6	0.0520	0.0489	0.0463
40	0.10	0.9	0.0489	0.0551	0.0458

^aμ₁ is the mean parameter of the log-normal distribution for the event of interest.

^bφ is the correlation coefficient parameter for the event of interest.

Results for all empirical type I errors are based on 10,000 replications.