analysis(matlab): rate + count outputs, variation batch 3

Co-Authored-By: Claude Opus 4.8 <noreply@anthropic.com>

analysis/matlab/variations/prev_f_full/logpower_result_rate.txt

@@ -0,0 +1,35 @@
+==============================================================================
+LOG-DAY MODEL + COHEN'S f + POWER -- prev_f_full   [metric: success RATE]
+==============================================================================
+model: behavior ~ stim + log(day) + stim:log(day) + (1|rat)   (behavior = success RATE)
+log(day) uses 1-indexed training day (our day 0 = paper "Day 1")
+observed groups: stim n=12, control n=12   nrep=120, alpha=0.05
+
+--- fitted on real data ---
+stim x log(day) interaction: F(1,227)=2.888  p(resid)=0.0906  p(Satt)=0.09072 (df=208)
+  honest per-animal random slope (log-day): F(1,23.7)=2.05  p=0.1655
+Cohen's f (interaction, partial eta^2=0.006) = 0.079  (small; f: .10 small, .25 medium, .40 large)
+
+--- power simulation (log-day ground truth: stim:logday=+0.02595, ratSD=0.06838, resSD=0.08017) ---
+
+ true stim:log(day) = +0.02595 (100% of observed)
+  N/group  | per-animal power | LME power
+  ------------------------------------------
+  3        |  0.06            |  0.07
+  5        |  0.17            |  0.18
+  8        |  0.33            |  0.38
+  12       |  0.38            |  0.47  <- observed
+  16       |  0.55            |  0.62
+  24       |  0.64            |  0.60
+
+ true stim:log(day) = +0.01298 (50% of observed)
+  N/group  | per-animal power | LME power
+  ------------------------------------------
+  3        |  0.04            |  0.04
+  5        |  0.07            |  0.11
+  8        |  0.10            |  0.12
+  12       |  0.17            |  0.17  <- observed
+  16       |  0.10            |  0.15
+  24       |  0.15            |  0.17
+
+Read per-animal as the honest power; LME matches the paper's power code (optimistic).