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. Author manuscript; available in PMC: 2014 Oct 10.
Published in final edited form as: J Pain Symptom Manage. 2013 Nov 15;47(6):1091–1099.e3. doi: 10.1016/j.jpainsymman.2013.07.016

Table 3.

Power for QALY Test of Equality for Utility = 0.5 and HR = 1.00 and a Basic Toxicity Rate of 10% in One Arm

Difference in Percent of Days With Toxicity
N Per
Group
Equal
(10% of Days)
50% More
(15% of Days)
75% More
(17.5% of Days)
Double
(20% of Days)
Triple
(30% of Days)
Quadruple
(40% of Days)
50 5 6 6 6 9 14
100 5 6 6 7 13 24
150 5 6 7 8 17 31
200 5 6 7 8 20 41
300 5 7 7 10 26 57
500 4 7 8 14 42 78
1000 4 8 12 22 72 98

QALY = quality-adjusted life year.

Values in bold indicate at least 80% power.

If the overall survival time is the same, you need a quadruple of toxicity rates (from 10% to 40%) and samples of 500 events to have 80% power to detect a difference in QALYs.