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POWER SIMULATION -- boxa_b2_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=+1.90/day, rat SD=6.23, residual SD=8.12, days=5

 true stim:day interaction = +1.90 (100% of observed)
  N/group  | per-animal power | LME power
  ------------------------------------------
  3        |  0.04            |  0.17
  5        |  0.17            |  0.24
  8        |  0.24            |  0.33
  12       |  0.38            |  0.36
  16       |  0.51            |  0.55
  24       |  0.68            |  0.71

 true stim:day interaction = +0.95 (50% of observed)
  N/group  | per-animal power | LME power
  ------------------------------------------
  3        |  0.07            |  0.11
  5        |  0.09            |  0.12
  8        |  0.06            |  0.12
  12       |  0.14            |  0.14
  16       |  0.18            |  0.19
  24       |  0.25            |  0.28

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.