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POWER SIMULATION -- unmerge_d6_13   [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=2   nrep=120, alpha=0.05
ground truth: stim:day=+0.01216/day, rat SD=0.04815, residual SD=0.05028, days=8

 true stim:day interaction = +0.01216 (100% of observed)
  N/group  | per-animal power | LME power
  ------------------------------------------
  3        |  0.32            |  0.47  <- observed
  5        |  0.63            |  0.76
  8        |  0.84            |  0.88
  12       |  0.91            |  0.96
  16       |  1.00            |  1.00
  24       |  1.00            |  1.00

 true stim:day interaction = +0.006078 (50% of observed)
  N/group  | per-animal power | LME power
  ------------------------------------------
  3        |  0.07            |  0.17  <- observed
  5        |  0.23            |  0.28
  8        |  0.27            |  0.35
  12       |  0.39            |  0.40
  16       |  0.48            |  0.58
  24       |  0.83            |  0.84

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