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POWER SIMULATION -- naive_a2_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=6   nrep=120, alpha=0.05
ground truth: stim:day=+0.003468/day, rat SD=0.05337, residual SD=0.07609, days=8

 true stim:day interaction = +0.003468 (100% of observed)
  N/group  | per-animal power | LME power
  ------------------------------------------
  3        |  0.05            |  0.05  <- observed
  5        |  0.12            |  0.13
  8        |  0.09            |  0.11
  12       |  0.09            |  0.08
  16       |  0.15            |  0.17
  24       |  0.14            |  0.15

 true stim:day interaction = +0.001734 (50% of observed)
  N/group  | per-animal power | LME power
  ------------------------------------------
  3        |  0.05            |  0.07  <- observed
  5        |  0.04            |  0.07
  8        |  0.07            |  0.07
  12       |  0.05            |  0.05
  16       |  0.06            |  0.07
  24       |  0.08            |  0.08

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