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POWER SIMULATION -- boxa_a2_d0_10   [metric: success RATE]
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model: behavior ~ stim + day + stim:day + (1|rat)   (behavior = success RATE; day within-window)
observed groups: stim n=3, control n=4   nrep=120, alpha=0.05
ground truth: stim:day=+0.007205/day, rat SD=0.04049, residual SD=0.08883, days=11

 true stim:day interaction = +0.007205 (100% of observed)
  N/group  | per-animal power | LME power
  ------------------------------------------
  3        |  0.07            |  0.16  <- observed
  5        |  0.18            |  0.19
  8        |  0.28            |  0.33
  12       |  0.53            |  0.51
  16       |  0.62            |  0.62
  24       |  0.84            |  0.85

 true stim:day interaction = +0.003602 (50% of observed)
  N/group  | per-animal power | LME power
  ------------------------------------------
  3        |  0.05            |  0.07  <- observed
  5        |  0.04            |  0.06
  8        |  0.09            |  0.10
  12       |  0.15            |  0.16
  16       |  0.25            |  0.26
  24       |  0.23            |  0.26

Read the per-animal column as the honest power; LME is optimistic (obs-level DF).
