===== Egger test on univariate Iu model (m_iu_simple) =====


Regression Test for Funnel Plot Asymmetry

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

Test for Funnel Plot Asymmetry: z = 0.6798, p = 0.4966
Limit Estimate (as sei -> 0):   b = 1.1271 (CI: 0.9266, 1.3277)



===== Egger regression aligned to multilevel Iu model (m_iu) =====


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

Residuals:
    Min      1Q  Median      3Q     Max 
-2.0669 -0.6998 -0.0945  0.3888  4.1150 

Coefficients:
            Estimate Std. Error t value Pr(>|t|)
(Intercept) -0.07288    0.10645  -0.685    0.495
sei          0.46450    0.64837   0.716    0.475

Residual standard error: 1.025 on 158 degrees of freedom
Multiple R-squared:  0.003238,	Adjusted R-squared:  -0.003071 
F-statistic: 0.5133 on 1 and 158 DF,  p-value: 0.4748



===== Trim & Fill on univariate Iu model =====


Estimated number of missing studies on the left side: 0 (SE = 6.4240)

Random-Effects Model (k = 160; tau^2 estimator: REML)

   logLik   deviance        AIC        BIC       AICc   
-219.9663   439.9325   443.9325   450.0703   444.0094   

tau^2 (estimated amount of total heterogeneity): 0.9159 (SE = 0.1051)
tau (square root of estimated tau^2 value):      0.9570
I^2 (total heterogeneity / total variability):   99.98%
H^2 (total variability / sampling variability):  5383.00

Test for Heterogeneity:
Q(df = 159) = 496981.8654, p-val < .0001

Model Results:

estimate      se     zval    pval   ci.lb   ci.ub      
  1.1733  0.0766  15.3197  <.0001  1.0232  1.3234  *** 

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

