===== Egger test on univariate Gu model (m_gu_simple) =====


Regression Test for Funnel Plot Asymmetry

Model:     mixed-effects meta-regression model
Predictor: standard error

Test for Funnel Plot Asymmetry: z = 2.5943, p = 0.0095
Limit Estimate (as sei -> 0):   b = 0.7220 (CI: 0.1175, 1.3266)



===== Egger regression aligned to multilevel Gu model (m_gu) =====


Call:
lm(formula = resid ~ sei, data = df_egger_gu)

Residuals:
    Min      1Q  Median      3Q     Max 
-2.7442 -1.1107 -0.7150  0.7981 22.0975 

Coefficients:
            Estimate Std. Error t value Pr(>|t|)
(Intercept)   0.7072     0.6688   1.058    0.295
sei          -2.9294     5.8637  -0.500    0.619

Residual standard error: 3.353 on 52 degrees of freedom
Multiple R-squared:  0.004777,	Adjusted R-squared:  -0.01436 
F-statistic: 0.2496 on 1 and 52 DF,  p-value: 0.6195



===== Trim & Fill on univariate Gu model =====


Estimated number of missing studies on the left side: 0 (SE = 3.4913)

Random-Effects Model (k = 54; tau^2 estimator: REML)

   logLik   deviance        AIC        BIC       AICc   
-101.1013   202.2027   206.2027   210.1433   206.4427   

tau^2 (estimated amount of total heterogeneity): 2.6442 (SE = 0.5161)
tau (square root of estimated tau^2 value):      1.6261
I^2 (total heterogeneity / total variability):   100.00%
H^2 (total variability / sampling variability):  34679.63

Test for Heterogeneity:
Q(df = 53) = 2692147.8850, p-val < .0001

Model Results:

estimate      se    zval    pval   ci.lb   ci.ub      
  1.3069  0.2218  5.8915  <.0001  0.8721  1.7416  *** 

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Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1

