Table 5. Power for ADAS-cog outcomes in 18 month long trials of participants with dementia due to AD based on APOE ε4 carrier status.
To ensure an approximate power of 80% to 90% for the mixed model analysis, simulations show that for small effects of 0.25, typical to that of cholinesterase inhibitors, somewhat fewer than 400 patients per group are needed with a dropout rate of 40%, and for medium size effects of 0.45, somewhat greater than 100 per group are needed with a dropout rate of 40%. Enrichment based on APOE ε4 carrier status resulted in very small increases in statistical power. Simulation parameters included α=0.05, effect sizes of 0.25 to 0.45 with Chisquared random errors, and 40% dropouts with mixed model analysis for participants with missing data.
N per group |
Effect Size |
Apo ε4 % |
Treatment group mean |
Placebo group mean |
Treatment group SD |
Placebo group SD |
Power mixed model |
---|---|---|---|---|---|---|---|
50 | 0.45 | 0.0 | 2.43 | 5.63 | 8.03 | 7.61 | 0.437 |
50 | 0.45 | 0.6 | 3.02 | 6.35 | 7.99 | 7.63 | 0.474 |
50 | 0.45 | 1.0 | 3.55 | 6.82 | 7.91 | 7.54 | 0.454 |
100 | 0.45 | 0.0 | 2.29 | 5.69 | 8.18 | 7.83 | 0.709 |
100 | 0.45 | 0.6 | 2.96 | 6.32 | 8.04 | 7.69 | 0.722 |
100 | 0.45 | 1.0 | 3.37 | 6.66 | 7.95 | 7.60 | 0.732 |
200 | 0.35 | 0.0 | 3.06 | 5.69 | 8.20 | 7.87 | 0.768 |
200 | 0.35 | 0.6 | 3.68 | 6.31 | 8.03 | 7.74 | 0.825 |
200 | 0.35 | 1.0 | 4.11 | 6.66 | 7.95 | 7.65 | 0.797 |
200 | 0.45 | 0.0 | 2.27 | 5.67 | 8.23 | 7.82 | 0.937 |
200 | 0.45 | 0.6 | 2.90 | 6.29 | 8.11 | 7.71 | 0.931 |
200 | 0.45 | 1.0 | 3.36 | 6.65 | 8.03 | 7.64 | 0.947 |
300 | 0.25 | 0.0 | 3.81 | 5.68 | 8.09 | 7.86 | 0.676 |
300 | 0.25 | 0.6 | 4.44 | 6.29 | 7.98 | 7.75 | 0.678 |
300 | 0.25 | 1.0 | 4.83 | 6.66 | 7.88 | 7.65 | 0.706 |
300 | 0.35 | 0.0 | 3.03 | 5.68 | 8.19 | 7.88 | 0.906 |
300 | 0.35 | 0.6 | 3.68 | 6.32 | 8.09 | 7.79 | 0.932 |
300 | 0.35 | 1.0 | 4.13 | 6.69 | 7.95 | 7.65 | 0.925 |
400 | 0.25 | 0.0 | 3.77 | 5.68 | 8.14 | 7.90 | 0.796 |
400 | 0.25 | 0.6 | 4.41 | 6.30 | 7.98 | 7.77 | 0.833 |
400 | 0.25 | 1.0 | 4.85 | 6.69 | 7.89 | 7.68 | 0.811 |
400 | 0.35 | 0.0 | 3.04 | 5.72 | 8.20 | 7.91 | 0.974 |
400 | 0.35 | 0.6 | 3.71 | 6.32 | 8.06 | 7.75 | 0.965 |
400 | 0.35 | 1.0 | 4.08 | 6.68 | 7.96 | 7.68 | 0.981 |