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POWER SIMULATION -- naive_a2_d0_5   [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=+0.06206/day, rat SD=0.05458, residual SD=0.09694, days=6

 true stim:day interaction = +0.06206 (100% of observed)
  N/group  | per-animal power | LME power
  ------------------------------------------
  3        |  0.53            |  0.90  <- observed
  5        |  0.93            |  0.98
  8        |  1.00            |  1.00
  12       |  1.00            |  1.00
  16       |  1.00            |  1.00
  24       |  1.00            |  1.00

 true stim:day interaction = +0.03103 (50% of observed)
  N/group  | per-animal power | LME power
  ------------------------------------------
  3        |  0.12            |  0.35  <- observed
  5        |  0.44            |  0.52
  8        |  0.66            |  0.72
  12       |  0.83            |  0.88
  16       |  0.94            |  0.95
  24       |  0.99            |  0.99

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