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POWER SIMULATION -- naive_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=7   nrep=120, alpha=0.05
ground truth: stim:day=+0.01123/day, rat SD=0.05096, residual SD=0.098, days=11

 true stim:day interaction = +0.01123 (100% of observed)
  N/group  | per-animal power | LME power
  ------------------------------------------
  3        |  0.12            |  0.28  <- observed
  5        |  0.39            |  0.47
  8        |  0.54            |  0.59
  12       |  0.84            |  0.84
  16       |  0.89            |  0.93
  24       |  0.97            |  0.98

 true stim:day interaction = +0.005617 (50% of observed)
  N/group  | per-animal power | LME power
  ------------------------------------------
  3        |  0.08            |  0.10  <- observed
  5        |  0.07            |  0.12
  8        |  0.18            |  0.19
  12       |  0.28            |  0.28
  16       |  0.43            |  0.40
  24       |  0.56            |  0.56

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