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POWER SIMULATION -- naive_a2_d6_13
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model: behavior ~ stim + day + stim:day + (1|rat)   (success COUNT; day within-window)
observed groups: stim n=3, control n=6   nrep=120, alpha=0.05
ground truth: stim:day=+1.16/day, rat SD=9.76, residual SD=12.03, days=8

 true stim:day interaction = +1.16 (100% of observed)
  N/group  | per-animal power | LME power
  ------------------------------------------
  3        |  0.08            |  0.15  <- observed
  5        |  0.19            |  0.23
  8        |  0.19            |  0.23
  12       |  0.31            |  0.34
  16       |  0.42            |  0.47
  24       |  0.58            |  0.59

 true stim:day interaction = +0.58 (50% of observed)
  N/group  | per-animal power | LME power
  ------------------------------------------
  3        |  0.06            |  0.09  <- observed
  5        |  0.06            |  0.08
  8        |  0.09            |  0.11
  12       |  0.12            |  0.10
  16       |  0.12            |  0.12
  24       |  0.21            |  0.23

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.