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POWER SIMULATION -- right_only_d6_10
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model: behavior ~ stim + day + stim:day + (1|rat)   (success COUNT; day within-window)
observed groups: stim n=4, control n=2   nrep=120, alpha=0.05
ground truth: stim:day=+2.42/day, rat SD=5.71, residual SD=8.18, days=5

 true stim:day interaction = +2.42 (100% of observed)
  N/group  | per-animal power | LME power
  ------------------------------------------
  3        |  0.06            |  0.25
  5        |  0.25            |  0.33
  8        |  0.38            |  0.44
  12       |  0.53            |  0.57
  16       |  0.71            |  0.74
  24       |  0.94            |  0.94

 true stim:day interaction = +1.21 (50% of observed)
  N/group  | per-animal power | LME power
  ------------------------------------------
  3        |  0.07            |  0.12
  5        |  0.11            |  0.14
  8        |  0.09            |  0.14
  12       |  0.18            |  0.20
  16       |  0.23            |  0.23
  24       |  0.40            |  0.47

Read the per-animal column as the honest power. At the observed N this study
is typically underpowered; per-animal power reaches ~0.8 only at larger N.