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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@@ -1,9 +1,12 @@
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==============================================================================
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PAPER LME REPLICATION -- unmerged
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PAPER LME REPLICATION -- unmerged (full range)
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==============================================================================
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model: behavior ~ stim + day + stim:day + (1|rat) [stim: Electrode-Box-B2=1 vs Electrode-Box-A2=0]
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behavior = successful reaches (COUNT per session)
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N = 6 rats, 71 sessions (day raw; day 0 = paper "Day 1")
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day coverage: stim(B2) 0..14, control(A2) 0..13
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(Equal day coverage -- the stim:day interaction over this window is NOT
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confounded by the full-range coverage imbalance.)
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==============================================================================
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FULL MODEL SUMMARY -- fitlme: behavior ~ stim + day + stim:day + (1|rat)
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@@ -53,12 +56,21 @@ 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(67)= 1.02 F(1)= 1.041 p=0.3112
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day (learning) t(67)= 9.20 F(1)= 84.665 p=1.671e-13
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stim (main, Day 1) t(67)= 1.04 F(1)= 1.086 p=0.3012
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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(67)= 1.02 F(1)= 1.041 p=0.3112 p=0.3111 (df=70)
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day (learning) t(67)= 9.20 F(1)= 84.665 p=1.671e-13 p=1.04e-13 (df=71)
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stim (main, Day 1) t(67)= 1.04 F(1)= 1.086 p=0.3012 p=0.3116 (df=18)
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interaction 95% CI: [-0.90, +2.77]
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HONEST LME -- per-rat random slope (day|rat): interaction F(1,8.8)=0.61, p=0.456
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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=0.3112, slope diff=+0.94) -> 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=0.3012) -> groups are comparable on Day 1.
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Paper (N=24): interaction t(227)=2.68, F(1)=7.12, p=0.008; day t(227)=9.64,
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F(1)=267.64, p=1.2e-18; stim t(227)=0.23, F(1)=0.053, p=0.81.
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