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POWER SIMULATION -- unmerge_d6_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=2   nrep=120, alpha=0.05
ground truth: stim:day=+0.002261/day, rat SD=0.03997, residual SD=0.0557, days=5

 true stim:day interaction = +0.002261 (100% of observed)
  N/group  | per-animal power | LME power
  ------------------------------------------
  3        |  0.03            |  0.04  <- observed
  5        |  0.03            |  0.06
  8        |  0.05            |  0.05
  12       |  0.08            |  0.07
  16       |  0.05            |  0.07
  24       |  0.06            |  0.06

 true stim:day interaction = +0.00113 (50% of observed)
  N/group  | per-animal power | LME power
  ------------------------------------------
  3        |  0.03            |  0.08  <- observed
  5        |  0.07            |  0.07
  8        |  0.05            |  0.04
  12       |  0.06            |  0.07
  16       |  0.07            |  0.07
  24       |  0.06            |  0.04

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