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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@@ -54,11 +54,17 @@ Group: Error
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{'Res Std'} 14.123 12.278 16.245
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effect t (df) F (df1) p
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days x tDCS (interaction) t(94)= 1.36 F(1)= 1.844 p=0.1777
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days (learning) t(94)= 13.14 F(1)= 172.537 p=5.403e-23
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tDCS (main, at Day 1) t(94)= 1.12 F(1)= 1.264 p=0.2637
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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(94)= 1.36 F(1)= 1.844 p=0.1777 p=0.1776 (df=98)
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days (learning) t(94)= 13.14 F(1)=172.537 p=5.403e-23 p=2.463e-23 (df=98)
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tDCS (main, at Day 1) t(94)= 1.12 F(1)= 1.264 p=0.2637 p=0.2636 (df=98)
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HONEST LME -- per-animal random slope (day|subject): interaction F(1,16.2)=1.37, p=0.2593
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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: n.s. (p=0.1777, slope diff=1.00) -> slopes are parallel (no differential change over training).
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