Table 1. Sample Size Estimates for Clinical Trials Using the Square Root of Lesion Area to Investigate Treatment Efficacy.
Months Followed | No Treatment | 100% reduction in Enlargement Rate with treatment* | 75% reduction in Enlargement Rate with treatment* | 50% reduction in Enlargement Rate with treatment* | 25% reduction in Enlargement Rate with treatment* | |||||||||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
Predicted change in square-root lesion area (mm) |
Predicted Change in square-root lesion area (mm) |
Sample Size required per group for power of | Predicted Change in square-root lesion area (mm) |
Sample Size required per group for power of | Predicted Change in square-root lesion area (mm) |
Sample Size required per group for power of | Predicted Change in square-root lesion area (mm) |
Sample Size required per group for power of | ||||||||||
Mean† | SD‡ | Mean | SD‡ | 80% | 90% | Mean | SD‡ | 80% | 90% | Mean | SD‡ | 80% | 90% | Mean | SD‡ | 80% | 90% | |
6 | 0.14 | 0.10 | 0.00 | 0.03 | 5 | 6 | 0.04 | 0.05 | 10 | 14 | 0.07 | 0.07 | 24 | 32 | 0.11 | 0.08 | 144 | 192 |
12 | 0.28 | 0.17 | 0.00 | 0.03 | <5 | 5 | 0.07 | 0.07 | 7 | 9 | 0.14 | 0.10 | 16 | 21 | 0.21 | 0.14 | 78 | 105 |
18 | 0.42 | 0.24 | 0.00 | 0.03 | <5 | <5 | 0.11 | 0.08 | 6 | 7 | 0.21 | 0.14 | 14 | 19 | 0.32 | 0.19 | 74 | 99 |
24 | 0.56 | 0.32 | 0.00 | 0.03 | <5 | <5 | 0.14 | 0.10 | 6 | 7 | 0.28 | 0.17 | 14 | 18 | 0.42 | 0.24 | 65 | 86 |
The required sample sizes for a clinical trial comparing natural history growth of the square-root area (mm) to 100%, 75%, 50%, and 25% reduction in enlargement rate with treatment. Calculations assume analysis with independent samples t-test with unequal variances
Assuming Enlargement Rate of square root lesion area of 0.28 mm/year
Standard deviation (SD) was estimated as a linear function of the mean growth of the square root of the lesion area; SD = (0.509)×(Mean Growth) + 0.030 (see results)