feat(matlab): add Satterthwaite DF + honest random-slope test to LME reports
Every fitlme-based report (lme_*, paper_*, phase_*, and the variations' analyze.m) now shows, per effect: residual-DF p, Satterthwaite-DF p, and -- for the interaction -- an HONEST test from a per-animal random-SLOPE model (day|rat), whose Satterthwaite DF collapses toward the animal count. New: tdcs_random_slope_interaction.m (shared helper). Wired into tdcs_lme, tdcs_paper_lme, tdcs_phase_lme, variation_analyze; SUMMARY.csv gains interaction_p_satt / interaction_p_rs. Regenerated all results/, variations/, matched-effort outputs. Key point this surfaces: Satterthwaite ~= residual on the random-INTERCEPT model (the slope's error is at session level), so it does NOT fix pseudoreplication; the random-slope model does. Effect: full-range mergeA2 interaction 0.009 -> 0.75 (collapses); unmerge_d0_5 0.015 -> 0.13 (n.s.); the pooled-control early windows survive honestly (naive_a2_d0_5 0.001 -> 0.028; naive_boxa_d0_5 0.003 -> 0.036). Suite 42/42. Co-Authored-By: Claude Opus 4.8 <noreply@anthropic.com>
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@@ -57,11 +57,17 @@ Group: Error
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{'Res Std'} 18.954 16.597 21.644
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effect t (df) F (df1) p
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days x tDCS (interaction) t(105)= -2.66 F(1)= 7.094 p=0.008953
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days (learning) t(105)= 9.82 F(1)= 96.388 p=1.573e-16
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tDCS (main, at Day 1) t(105)= 3.43 F(1)= 11.778 p=0.0008585
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effect t(df) / F(df1) p (resid) Satterthwaite: p (df)
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------------------------------------------------------------------------------
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days x tDCS (interaction) t(105)= -2.66 F(1)= 7.094 p=0.008953 p=0.008906 (df=109)
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days (learning) t(105)= 9.82 F(1)= 96.388 p=1.573e-16 p=1.113e-16 (df=109)
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tDCS (main, at Day 1) t(105)= 3.43 F(1)= 11.778 p=0.0008585 p=0.000848 (df=109)
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HONEST LME -- per-animal random slope (day|subject): interaction F(1,9.7)=0.11, p=0.746
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Note: Satterthwaite DF on the random-INTERCEPT model above stays ~= residual
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(the slope's error is at the session level), so it does NOT fix pseudoreplication.
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Letting each animal have its OWN slope collapses the interaction DF toward the animal
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count -- this, and the per-animal slope test, are the honest learning-rate inference.
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INTERPRETATION
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- days x tDCS interaction: SIGNIFICANT (p=0.0090, slope diff=-2.18) -> the tDCS (Box-B2) group improves SLOWER -- groups CONVERGE (Box-B2 is ahead early, the gap narrows).
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