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POWER SIMULATION -- unmerge_d6_10
==============================================================================
model: behavior ~ stim + day + stim:day + (1|rat)   (success COUNT; day within-window)
observed groups: stim n=3, control n=2   nrep=120, alpha=0.05
ground truth: stim:day=+1.77/day, rat SD=6.11, residual SD=8.63, days=5

 true stim:day interaction = +1.77 (100% of observed)
  N/group  | per-animal power | LME power
  ------------------------------------------
  3        |  0.05            |  0.10  <- observed
  5        |  0.16            |  0.20
  8        |  0.17            |  0.28
  12       |  0.26            |  0.30
  16       |  0.44            |  0.42
  24       |  0.57            |  0.58

 true stim:day interaction = +0.88 (50% of observed)
  N/group  | per-animal power | LME power
  ------------------------------------------
  3        |  0.07            |  0.11  <- observed
  5        |  0.07            |  0.11
  8        |  0.06            |  0.08
  12       |  0.12            |  0.13
  16       |  0.13            |  0.17
  24       |  0.22            |  0.23

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.
