===== Egger test on univariate FO model (m_fo_simple) =====


Regression Test for Funnel Plot Asymmetry

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

Test for Funnel Plot Asymmetry: z =  12.4306, p < .0001
Limit Estimate (as sei -> 0):   b = -1.4415 (CI: -1.7539, -1.1291)



===== Egger regression aligned to multilevel FO model (m_fo) =====


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

Residuals:
    Min      1Q  Median      3Q     Max 
-4.3994 -0.4545  0.0131  0.5236  5.7575 

Coefficients:
            Estimate Std. Error t value Pr(>|t|)    
(Intercept)  -0.9989     0.1103  -9.057  < 2e-16 ***
sei           1.1843     0.1392   8.507 3.59e-15 ***
---
Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1

Residual standard error: 0.8931 on 207 degrees of freedom
Multiple R-squared:  0.259,	Adjusted R-squared:  0.2555 
F-statistic: 72.36 on 1 and 207 DF,  p-value: 3.591e-15



===== Trim & Fill on univariate FO model =====


Estimated number of missing studies on the left side: 36 (SE = 9.4762)

Random-Effects Model (k = 246; tau^2 estimator: REML)

   logLik   deviance        AIC        BIC       AICc   
-569.2600  1138.5201  1142.5201  1149.5226  1142.5697   

tau^2 (estimated amount of total heterogeneity): 4.3067 (SE = 0.4472)
tau (square root of estimated tau^2 value):      2.0753
I^2 (total heterogeneity / total variability):   96.29%
H^2 (total variability / sampling variability):  26.97

Test for Heterogeneity:
Q(df = 245) = 2089.5559, p-val < .0001

Model Results:

estimate      se     zval    pval    ci.lb   ci.ub    
 -0.1626  0.1427  -1.1395  0.2545  -0.4422  0.1171    

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

