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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@@ -55,11 +55,14 @@ Group: Error
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{'Res Std'} 15.264 13.405 17.381
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effect t (df) F (df1) p
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------------------------------------------------------------------
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stim x day (interaction) t(120)= 2.08 F(1)= 4.320 p=0.0398
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day (learning) t(120)= 14.57 F(1)= 212.424 p=2.547e-28
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stim (main, window start) t(120)= 1.44 F(1)= 2.062 p=0.1536
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effect t(df) / F(df1) p (resid) Satterthwaite: p (df)
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----------------------------------------------------------------------------
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stim x day (interaction) t(120)= 2.08 F(1)= 4.320 p=0.0398 p=0.03986 (df=117)
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day (learning) t(120)= 14.57 F(1)=212.424 p=2.547e-28 p=3.246e-28 (df=119)
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stim (main, window start) t(120)= 1.44 F(1)= 2.062 p=0.1536 p=0.1655 (df=21)
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interaction 95% CI: [+0.08, +3.15]
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HONEST LME (per-animal random slope, day|rat): interaction F(1,41.7)=3.81, p=0.05781
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(Satterthwaite DF ~= residual on this random-intercept model; the random-slope
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model above is the honest learning-rate test -- DF collapses toward the animal count.)
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INTERPRETATION: stim x day interaction SIGNIFICANT positive -- treatment improves FASTER (benefit accumulates) (p=0.0398, slope diff=+1.61)
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Paper (N=24): interaction t(227)=2.68, F(1)=7.12, p=0.008.
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