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POWER SIMULATION -- right_only_d0_13
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model: behavior ~ stim + day + stim:day + (1|rat)   (success COUNT; day within-window)
observed groups: stim n=4, control n=3   nrep=120, alpha=0.05
ground truth: stim:day=+1.70/day, rat SD=0.00, residual SD=14.12, days=14

 true stim:day interaction = +1.70 (100% of observed)
  N/group  | per-animal power | LME power
  ------------------------------------------
  3        |  0.28            |  0.67  <- observed
  5        |  0.67            |  0.82
  8        |  0.92            |  0.94
  12       |  1.00            |  1.00
  16       |  1.00            |  1.00
  24       |  1.00            |  1.00

 true stim:day interaction = +0.85 (50% of observed)
  N/group  | per-animal power | LME power
  ------------------------------------------
  3        |  0.15            |  0.24  <- observed
  5        |  0.23            |  0.28
  8        |  0.48            |  0.53
  12       |  0.56            |  0.62
  16       |  0.75            |  0.82
  24       |  0.87            |  0.85

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.