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PAPER LME REPLICATION -- mergeB2 (full range)
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model: behavior ~ stim + day + stim:day + (1|rat)   [stim: Electrode-Box-B2=1 vs Electrode-Box-A2=0]
behavior = successful reaches (COUNT per session)
N = 8 rats, 109 sessions   (day raw; day 0 = paper "Day 1")
day coverage: stim(B2) 0..22, control(A2) 0..13
** WARNING: unequal day coverage -- the full-range stim:day interaction
   extrapolates the control group's line and is CONFOUNDED here (the paper's
   groups had equal coverage). See the _d0_13 fair-window and phased analyses. **

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FULL MODEL SUMMARY -- fitlme: behavior ~ stim + day + stim:day + (1|rat)
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Linear mixed-effects model fit by ML

Model information:
    Number of observations             109
    Fixed effects coefficients           4
    Random effects coefficients          8
    Covariance parameters                2

Formula:
    behavior ~ 1 + day*stim + (1 | rat)

Model fit statistics:
    AIC       BIC       LogLikelihood    Deviance
    967.24    983.39    -477.62          955.24  

Fixed effects coefficients (95% CIs):
    Name                   Estimate    SE        tStat      DF     pValue    
    {'(Intercept)'}           21.7     5.9981     3.6178    105    0.00045861
    {'day'        }         6.4863     0.9412     6.8916    105    4.2336e-10
    {'stim'       }         17.493     7.1288     2.4538    105      0.015779
    {'day:stim'   }        -1.4651      1.025    -1.4294    105       0.15586


    Lower      Upper  
     9.8069     33.593
     4.6201     8.3526
     3.3578     31.628
    -3.4974    0.56726

Random effects covariance parameters (95% CIs):
Group: rat (8 Levels)
    Name1                  Name2                  Type           Estimate  
    {'(Intercept)'}        {'(Intercept)'}        {'std'}        2.1487e-15


    Lower    Upper
    NaN      NaN  

Group: Error
    Name               Estimate    Lower     Upper 
    {'Res Std'}        19.354      16.948    22.101



effect                     t(df) / F(df1)     p (resid)    Satterthwaite: p (df)
----------------------------------------------------------------------------
stim x day (interaction)   t(105)= -1.43 F(1)=  2.043  p=0.1559    p=0.1558 (df=109)
day (learning)             t(105)=  6.89 F(1)= 47.494  p=4.234e-10    p=3.734e-10 (df=109)
stim (main, Day 1)         t(105)=  2.45 F(1)=  6.021  p=0.01578    p=0.01572 (df=109)
interaction 95% CI: [-3.50, +0.57]

HONEST LME -- per-rat random slope (day|rat): interaction F(1,11.8)=0.02, p=0.9027
  Satterthwaite DF on the random-INTERCEPT model above stays ~= residual (the
  slope's error is at session level), so it does NOT fix pseudoreplication. A per-animal
  random slope collapses the interaction DF toward the animal count -- the honest test.

INTERPRETATION
  - stim x day interaction: n.s. (p=0.1559, slope diff=-1.47) -> slopes parallel -- no differential learning rate over this window.
  - stim main effect on Day 1 (our day 0): SIGNIFICANT (p=0.0158) -> groups already DIFFER on Day 1.

Paper (N=24): interaction t(227)=2.68, F(1)=7.12, p=0.008; day t(227)=9.64,
  F(1)=267.64, p=1.2e-18; stim t(227)=0.23, F(1)=0.053, p=0.81.
