Table 2:

The number of paired events ñ required of the trial under the Weibull frailty model for one-sided hypothesis with type I error of 5% and power of 80%. Based on 100,000 simulation runs, the empirical type I errors ($\widehat{\alpha }$) and empirical powers (EP) corresponding to the calculated number of paired events are also recorded in the table.

Number of paired events ñ ($\widehat{\alpha }∕\text{EP}$)
R	Δ	κ = 0.5	Δ	κ = 1	Δ	κ = 2
1.5	1.2247	769(.051/.80)	1.5	196(.053/.81)	2.25	53(.053/.83)
1.6	1.2649	574(.049/.80)	1.6	147(.048/.80)	2.56	41(.059/.85)
1.7	1.3038	451(.048/.80)	1.7	117(.041/.79)	2.89	33(.035/.79)
1.8	1.3416	369(.048/.80)	1.8	96 (.051/.81)	3.24	28(.036/.80)
1.9	1.3784	310(.048/.80)	1.9	81 (.045/.80)	3.61	24(.064/.87)
2.0	1.4142	267(.051/.81)	2.0	71 (.058/.83)	4.00	22(.051/.87)
2.1	1.4491	233(.049/.80)	2.1	62 (.057/.83)	4.41	20(.042/.85)
2.2	1.4832	207(.053/.81)	2.2	56 (.045/.81)	4.84	18(.030/.82)
2.3	1.5166	186(.047/.80)	2.3	51 (.049/.82)	5.29	17(.049/.88)
2.4	1.5492	169(.046/.79)	2.4	46 (.054/.83)	5.76	16(.077/.92)
2.5	1.5811	155(.054/.82)	2.5	43 (.065/.86)	6.25	15(.036/.86)