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POWER SIMULATION -- naive_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=7   nrep=120, alpha=0.05
ground truth: stim:day=+1.43/day, rat SD=8.75, residual SD=13.78, days=11

 true stim:day interaction = +1.43 (100% of observed)
  N/group  | per-animal power | LME power
  ------------------------------------------
  3        |  0.09            |  0.23  <- observed
  5        |  0.33            |  0.38
  8        |  0.48            |  0.53
  12       |  0.74            |  0.78
  16       |  0.84            |  0.84
  24       |  0.95            |  0.94

 true stim:day interaction = +0.72 (50% of observed)
  N/group  | per-animal power | LME power
  ------------------------------------------
  3        |  0.07            |  0.09  <- observed
  5        |  0.07            |  0.12
  8        |  0.12            |  0.16
  12       |  0.21            |  0.25
  16       |  0.38            |  0.36
  24       |  0.47            |  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.