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POWER SIMULATION -- right_only_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=4, control n=2   nrep=120, alpha=0.05
ground truth: stim:day=+0.01878/day, rat SD=0.04274, residual SD=0.05164, days=8

 true stim:day interaction = +0.01878 (100% of observed)
  N/group  | per-animal power | LME power
  ------------------------------------------
  3        |  0.54            |  0.82
  5        |  0.92            |  0.97
  8        |  1.00            |  1.00
  12       |  1.00            |  1.00
  16       |  1.00            |  1.00
  24       |  1.00            |  1.00

 true stim:day interaction = +0.009388 (50% of observed)
  N/group  | per-animal power | LME power
  ------------------------------------------
  3        |  0.15            |  0.28
  5        |  0.33            |  0.51
  8        |  0.58            |  0.65
  12       |  0.77            |  0.81
  16       |  0.88            |  0.90
  24       |  0.98            |  0.99

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