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POWER SIMULATION -- boxa_a2_d0_10
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model: behavior ~ stim + day + stim:day + (1|rat)   (success COUNT; day within-window)
observed groups: stim n=3, control n=4   nrep=120, alpha=0.05
ground truth: stim:day=+1.20/day, rat SD=0.00, residual SD=13.47, days=11

 true stim:day interaction = +1.20 (100% of observed)
  N/group  | per-animal power | LME power
  ------------------------------------------
  3        |  0.07            |  0.17  <- observed
  5        |  0.20            |  0.24
  8        |  0.35            |  0.43
  12       |  0.62            |  0.67
  16       |  0.72            |  0.72
  24       |  0.88            |  0.88

 true stim:day interaction = +0.60 (50% of observed)
  N/group  | per-animal power | LME power
  ------------------------------------------
  3        |  0.07            |  0.08  <- observed
  5        |  0.05            |  0.07
  8        |  0.10            |  0.11
  12       |  0.17            |  0.18
  16       |  0.29            |  0.30
  24       |  0.31            |  0.33

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.