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'} 9.9638 7.8829 12.594
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effect t (df) F (df1) p
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stim x day (interaction) t(38)= 2.92 F(1)= 8.511 p=0.005897
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day (learning) t(38)= 7.17 F(1)= 51.382 p=1.458e-08
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stim (main, window start) t(38)= -0.73 F(1)= 0.534 p=0.4696
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effect t(df) / F(df1) p (resid) Satterthwaite: p (df)
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stim x day (interaction) t(38)= 2.92 F(1)= 8.511 p=0.005897 p=0.006128 (df=35)
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day (learning) t(38)= 7.17 F(1)= 51.382 p=1.458e-08 p=2.321e-08 (df=35)
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stim (main, window start) t(38)= -0.73 F(1)= 0.534 p=0.4696 p=0.4735 (df=20)
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interaction 95% CI: [+1.62, +8.99]
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HONEST LME (per-animal random slope, day|rat): interaction F(1,7.0)=3.94, p=0.08763
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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=0.005897, slope diff=+5.31)
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Paper (N=24): interaction t(227)=2.68, F(1)=7.12, p=0.008.
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