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analysis(matlab): rate + count outputs, variation batch 5

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Co-Authored-By: Claude Opus 4.8 <noreply@anthropic.com>
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Experiments DB Dev
2026-07-24 02:32:53 -04:00
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analysis/matlab/variations/unmerge_d0_13/logpower_result_rate.txt
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==============================================================================
LOG-DAY MODEL + COHEN'S f + POWER -- unmerge_d0_13 [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=3, control n=3 nrep=120, alpha=0.05
--- fitted on real data ---
stim x log(day) interaction: F(1,66)=12.243 p(resid)=0.0008416 p(Satt)=0.0008388 (df=66)
honest per-animal random slope (log-day): F(1,29.1)=11.46 p=0.00205
Cohen's f (interaction, partial eta^2=0.030) = 0.176 (small-medium; f: .10 small, .25 medium, .40 large)
--- power simulation (log-day ground truth: stim:logday=+0.08873, ratSD=0.04364, resSD=0.07673) ---
true stim:log(day) = +0.08873 (100% of observed)
N/group | per-animal power | LME power
------------------------------------------
3 | 0.71 | 0.97 <- observed
5 | 1.00 | 1.00
8 | 1.00 | 1.00
12 | 1.00 | 1.00
16 | 1.00 | 1.00
24 | 1.00 | 1.00
true stim:log(day) = +0.04437 (50% of observed)
N/group | per-animal power | LME power
------------------------------------------
3 | 0.26 | 0.52 <- observed
5 | 0.57 | 0.72
8 | 0.85 | 0.90
12 | 0.95 | 0.96
16 | 1.00 | 1.00
24 | 1.00 | 1.00
Read per-animal as the honest power; LME matches the paper's power code (optimistic).