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POWER SIMULATION -- naive_a2_d6_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=6   nrep=120, alpha=0.05
ground truth: stim:day=-1.80/day, rat SD=10.99, residual SD=10.55, days=5

 true stim:day interaction = -1.80 (100% of observed)
  N/group  | per-animal power | LME power
  ------------------------------------------
  3        |  0.06            |  0.09  <- observed
  5        |  0.06            |  0.07
  8        |  0.17            |  0.24
  12       |  0.30            |  0.30
  16       |  0.33            |  0.34
  24       |  0.45            |  0.49

 true stim:day interaction = -0.90 (50% of observed)
  N/group  | per-animal power | LME power
  ------------------------------------------
  3        |  0.03            |  0.07  <- observed
  5        |  0.07            |  0.07
  8        |  0.05            |  0.12
  12       |  0.07            |  0.08
  16       |  0.11            |  0.11
  24       |  0.13            |  0.14

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.