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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@@ -56,13 +56,18 @@ Group: Error
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effect t (df) F (df1) p
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------------------------------------------------------------------
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stim x day (interaction) t(111)= 1.97 F(1)= 3.880 p=0.05134
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day (learning) t(111)= 15.57 F(1)= 242.567 p=1.081e-29
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stim (main, Day 1) t(111)= 1.32 F(1)= 1.742 p=0.1895
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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(111)= 1.97 F(1)= 3.880 p=0.05134 p=0.05149 (df=105)
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day (learning) t(111)= 15.57 F(1)=242.567 p=1.081e-29 p=3.188e-29 (df=107)
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stim (main, Day 1) t(111)= 1.32 F(1)= 1.742 p=0.1895 p=0.2003 (df=22)
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interaction 95% CI: [-0.01, +3.25]
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HONEST LME -- per-rat random slope (day|rat): interaction F(1,10.1)=2.00, p=0.1875
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Satterthwaite DF on the random-INTERCEPT model above stays ~= residual (the
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slope's error is at session level), so it does NOT fix pseudoreplication. A per-animal
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random slope collapses the interaction DF toward the animal count -- the honest test.
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INTERPRETATION
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- stim x day interaction: n.s. (p=0.0513, slope diff=+1.62) -> slopes parallel -- no differential learning rate over this window.
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- stim main effect on Day 1 (our day 0): n.s. (p=0.1895) -> groups are comparable on Day 1.
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