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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@@ -28,27 +28,41 @@ Model fit statistics:
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489.28 501.74 -238.64 477.28
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Fixed effects coefficients (95% CIs):
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Name Estimate SE tStat DF pValue Lower Upper
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{'(Intercept)'} 9.0584 5.0267 1.8021 55 0.077018 -1.0153 19.132
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{'day' } 8.2568 1.1279 7.3206 55 1.1254e-09 5.9965 10.517
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{'stim' } 0.44958 9.048 0.049688 55 0.96055 -17.683 18.582
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{'day:stim' } 6.9622 2.0162 3.4532 55 0.0010733 2.9217 11.003
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Name Estimate SE tStat DF pValue
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{'(Intercept)'} 9.0584 5.0267 1.8021 55 0.077018
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{'day' } 8.2568 1.1279 7.3206 55 1.1254e-09
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{'stim' } 0.44958 9.048 0.049688 55 0.96055
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{'day:stim' } 6.9622 2.0162 3.4532 55 0.0010733
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Lower Upper
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-1.0153 19.132
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5.9965 10.517
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-17.683 18.582
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2.9217 11.003
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Random effects covariance parameters (95% CIs):
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Group: rat (10 Levels)
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Name1 Name2 Type Estimate Lower Upper
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{'(Intercept)'} {'(Intercept)'} {'std'} 9.6432 5.5002 16.907
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Name1 Name2 Type Estimate
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{'(Intercept)'} {'(Intercept)'} {'std'} 9.6432
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Lower Upper
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5.5002 16.907
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Group: Error
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Name Estimate Lower Upper
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{'Res Std'} 12.109 9.9317 14.763
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effect t (df) F (df1) p
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------------------------------------------------------------------
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stim x day (interaction) t(55)= 3.45 F(1)= 11.924 p=0.001073
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day (learning) t(55)= 7.32 F(1)= 53.591 p=1.125e-09
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stim (main, window start) t(55)= 0.05 F(1)= 0.002 p=0.9606
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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(55)= 3.45 F(1)= 11.924 p=0.001073 p=0.001152 (df=49)
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day (learning) t(55)= 7.32 F(1)= 53.591 p=1.125e-09 p=2.092e-09 (df=49)
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stim (main, window start) t(55)= 0.05 F(1)= 0.002 p=0.9606 p=0.9609 (df=20)
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interaction 95% CI: [+2.92, +11.00]
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HONEST LME (per-animal random slope, day|rat): interaction F(1,9.7)=6.65, p=0.02815
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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=0.001073, slope diff=+6.96)
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Paper (N=24): interaction t(227)=2.68, F(1)=7.12, p=0.008.
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