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POWER SIMULATION -- matched_current_d0_3   [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=+0.07723/day, rat SD=0.01983, residual SD=0.07841, days=4

 true stim:day interaction = +0.07723 (100% of observed)
  N/group  | per-animal power | LME power
  ------------------------------------------
  3        |  0.39            |  0.78  <- observed
  5        |  0.86            |  0.94
  8        |  0.98            |  0.99
  12       |  1.00            |  1.00
  16       |  1.00            |  1.00
  24       |  1.00            |  1.00

 true stim:day interaction = +0.03861 (50% of observed)
  N/group  | per-animal power | LME power
  ------------------------------------------
  3        |  0.07            |  0.21  <- observed
  5        |  0.35            |  0.47
  8        |  0.53            |  0.62
  12       |  0.78            |  0.79
  16       |  0.82            |  0.87
  24       |  0.97            |  0.97

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