analysis(matlab): rate + count outputs, variation batch 5
Co-Authored-By: Claude Opus 4.8 <noreply@anthropic.com>
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==============================================================================
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LOG-DAY MODEL + COHEN'S f + POWER -- unmerge_d6_10 [metric: success RATE]
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==============================================================================
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model: behavior ~ stim + log(day) + stim:log(day) + (1|rat) (behavior = success RATE)
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log(day) uses 1-indexed training day (our day 0 = paper "Day 1")
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observed groups: stim n=3, control n=2 nrep=120, alpha=0.05
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--- fitted on real data ---
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stim x log(day) interaction: F(1,21)=0.027 p(resid)=0.8704 p(Satt)=0.8705 (df=20)
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honest per-animal random slope (log-day): F(1,5.0)=0.01 p=0.9117
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Cohen's f (interaction, partial eta^2=0.001) = 0.023 (small; f: .10 small, .25 medium, .40 large)
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--- power simulation (log-day ground truth: stim:logday=+0.02357, ratSD=0.03992, resSD=0.05586) ---
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true stim:log(day) = +0.02357 (100% of observed)
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N/group | per-animal power | LME power
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------------------------------------------
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3 | 0.03 | 0.03 <- observed
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5 | 0.03 | 0.06
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8 | 0.06 | 0.07
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12 | 0.08 | 0.09
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16 | 0.05 | 0.06
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24 | 0.08 | 0.06
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true stim:log(day) = +0.01179 (50% of observed)
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N/group | per-animal power | LME power
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------------------------------------------
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3 | 0.03 | 0.08 <- observed
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5 | 0.07 | 0.07
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8 | 0.05 | 0.05
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12 | 0.07 | 0.07
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16 | 0.07 | 0.07
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24 | 0.06 | 0.04
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Read per-animal as the honest power; LME matches the paper's power code (optimistic).
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