analysis(matlab): Box-A pooling variations (b2 vs a2+a, b2+a vs a2)
Add make_boxa_variations.m producing 6 variation folders (data.csv + analyze.m + result.txt) for the paper LME over windows 0-5, 6-10, 0-10: boxa_a2 B2 vs A2 + Box-A (b2 vs a2+a) boxa_b2 B2 + Box-A vs A2 (b2+a vs a2) plus variations/boxa_summary.csv (residual / Satterthwaite / random-slope interaction p). Early window (0-5) is obs-level significant (res p~0.03-0.04) but n.s. under the honest random-slope test (rs p~0.13); later windows n.s. Co-Authored-By: Claude Opus 4.8 <noreply@anthropic.com>
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==============================================================================
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VARIATION: boxa_a2_d6_10
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==============================================================================
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model: behavior ~ stim + day + stim:day + (1|rat) (behavior = success COUNT)
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day = training day within window (0 = first analyzed day)
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treatment (stim=1): Electrode-Box-B2
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control (stim=0): Electrode-Box-A, Electrode-Box-A2
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N = 6 rats, 30 sessions raw day coverage: treat 6..10, control 6..10
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(equal day coverage over this window)
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==============================================================================
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FULL MODEL SUMMARY -- fitlme
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==============================================================================
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Linear mixed-effects model fit by ML
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Model information:
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Number of observations 30
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Fixed effects coefficients 4
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Random effects coefficients 6
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Covariance parameters 2
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Formula:
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behavior ~ 1 + day*stim + (1 | rat)
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Model fit statistics:
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AIC BIC LogLikelihood Deviance
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231.74 240.15 -109.87 219.74
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Fixed effects coefficients (95% CIs):
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Name Estimate SE tStat DF pValue
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{'(Intercept)'} 75.867 5.1856 14.63 26 4.6141e-14
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{'day' } 3.1667 1.4985 2.1132 26 0.044334
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{'stim' } 12.667 7.3335 1.7272 26 0.095989
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{'day:stim' } 1 2.1192 0.47188 26 0.64095
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Lower Upper
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65.208 86.526
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0.086483 6.2469
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-2.4075 27.741
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-3.356 5.356
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Random effects covariance parameters (95% CIs):
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Group: rat (6 Levels)
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Name1 Name2 Type Estimate
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{'(Intercept)'} {'(Intercept)'} {'std'} 6.3444
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Lower Upper
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2.9639 13.581
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Group: Error
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Name Estimate Lower Upper
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{'Res Std'} 8.2076 6.1852 10.891
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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(26)= 0.47 F(1)= 0.223 p=0.6409 p=0.6413 (df=24)
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day (learning) t(26)= 2.11 F(1)= 4.466 p=0.04433 p=0.04517 (df=24)
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stim (main, window start) t(26)= 1.73 F(1)= 2.983 p=0.09599 p=0.1083 (df=13)
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interaction 95% CI: [-3.36, +5.36]
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HONEST LME (per-animal random slope, day|rat): interaction F(1,6.0)=0.18, p=0.6872
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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 n.s. -- slopes parallel (no differential learning rate) (p=0.6409, slope diff=+1.00)
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Paper (N=24): interaction t(227)=2.68, F(1)=7.12, p=0.008.
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