Skip to main content
. Author manuscript; available in PMC: 2019 Apr 23.
Published in final edited form as: Stat Med. 2017 Aug 16;36(26):4121–4140. doi: 10.1002/sim.7421

TABLE 3.

Comparing PT versus PH approaches

# Events N for PT assumption
(80% power, α = 0.05 one-sided, ΔPT = 2, r = 1)
# Events N for PH assumption
(80% power, α = 0.05 one-sided, r = 1)
β N
4 3 2 1.5 1 0.75 0.5 0.25 0.1 0.85 938
0.10 - - - - - - - 10 52 0.8 498
0.25 - - - - - - 14 52 322 0.75 300
0.50 - - - - 14 24 52 208 1288 0.7 196
0.75 - - - 14 30 54 118 466 2898 0.65 134
|λ| 1.00 - - 14 24 52 94 208 826 5150 ΔHR 0.6 96
1.50 10 16 32 56 120 210 466 1858 11586 0.55 70
2.00 16 28 56 96 212 372 828 3300 20596 0.5 52
2.50 26 44 88 150 332 582 1294 5158 - 0.45 40
3.00 38 64 128 218 478 838 1864 7426 - 0.4 30

N is rounded up to an even number to avoid fractional values for n0 and n1.

A “-” indicates that N is either too small or too large to be considered practically meaningful.

This table shows N for a one-sided hypothesis. Similar calculations can be done for a two-sided hypothesis.

This table is constructed for ΔPT = 2. For ΔPT > 2, N will decrease and vice versa.