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POWER SIMULATION -- unmerge_d0_10   [metric: success RATE]
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model: behavior ~ stim + day + stim:day + (1|rat)   (behavior = success RATE; day within-window)
observed groups: stim n=3, control n=3   nrep=120, alpha=0.05
ground truth: stim:day=+0.01218/day, rat SD=0.04284, residual SD=0.08704, days=11

 true stim:day interaction = +0.01218 (100% of observed)
  N/group  | per-animal power | LME power
  ------------------------------------------
  3        |  0.20            |  0.36  <- observed
  5        |  0.51            |  0.64
  8        |  0.77            |  0.79
  12       |  0.96            |  0.97
  16       |  0.97            |  0.97
  24       |  1.00            |  1.00

 true stim:day interaction = +0.006089 (50% of observed)
  N/group  | per-animal power | LME power
  ------------------------------------------
  3        |  0.12            |  0.11  <- observed
  5        |  0.11            |  0.18
  8        |  0.28            |  0.31
  12       |  0.36            |  0.41
  16       |  0.58            |  0.62
  24       |  0.71            |  0.72

Read the per-animal column as the honest power; LME is optimistic (obs-level DF).
