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. Author manuscript; available in PMC: 2015 May 1.
Published in final edited form as: Alzheimers Dement. 2013 May 25;10(3):349–359. doi: 10.1016/j.jalz.2013.03.003

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