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POWER SIMULATION -- naive_boxa_d0_10
==============================================================================
model: behavior ~ stim + day + stim:day + (1|rat)   (success COUNT; day within-window)
observed groups: stim n=3, control n=8   nrep=120, alpha=0.05
ground truth: stim:day=+1.18/day, rat SD=8.67, residual SD=13.71, days=11

 true stim:day interaction = +1.18 (100% of observed)
  N/group  | per-animal power | LME power
  ------------------------------------------
  3        |  0.07            |  0.17  <- observed
  5        |  0.20            |  0.22
  8        |  0.32            |  0.38  <- observed
  12       |  0.58            |  0.62
  16       |  0.68            |  0.70
  24       |  0.88            |  0.88

 true stim:day interaction = +0.59 (50% of observed)
  N/group  | per-animal power | LME power
  ------------------------------------------
  3        |  0.05            |  0.07  <- observed
  5        |  0.04            |  0.07
  8        |  0.09            |  0.12  <- observed
  12       |  0.16            |  0.17
  16       |  0.28            |  0.27
  24       |  0.28            |  0.29

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.
