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. Author manuscript; available in PMC: 2018 Nov 1.
Published in final edited form as: Psychol Sci. 2017 Sep 12;28(11):1531–1546. doi: 10.1177/0956797617714579

Table 2.

Results of Effect Size Estimates With (Top Panel) and Without (Bottom Panel) Outliers

Fixed-Effects Model Random-Effects Model Three-Level
Random-Effects Model
Random-Effects Model with
Weights

k d. 95%
CI
Q d. 95% CI τ2 I2 cluster df d. 95%
Wald
CI
I2(2) I2(3) d. 95% CI τ2 I2
All Effects
 Misinformation 16 2.04 1.93 – 2.14 590.44*** 3.08 2.02 – 4.15 4.48 (1.66) 98.99 0 14 3.08 2.00 – 4.15 98.99 - 2.94 1.80 – 4.08 4.48 (1.66) 98.99
 Debunking 30 0.88 0.81– 0.93 1031.21*** 1.14 0.68 – 1.61 1.65 (0.44) 98.45 30 28 1.14 0.68 – 1.61 98.45 - 1.33 0.62 – 2.04 2.28 (0.72) 98.76
 Misinformation- Persistencea 42 0.09 0.07– 0.12 1701.81*** 0.97 0.60 – 1.35 1.46 (0.33) 99.47 8 39 0.92 0.40 – 1.44 63.35 35.93 1.06 0.68 – 1.44 1.38 (0.32) 99.45

Effects Without Outliers
 Misinformationb 14 2.01 1.91 – 2.12 540.03*** 2.46 1.73 – 3.19 1.87 (0.77) 97.91 6 11 2.49 1.53 – 3.45 24.82 72.78 2.41 1.63 – 3.20 1.87 (0.72) 97.91
 Misinformation- Persistencec 40 0.09 0.06– 0.12 1584.65*** 0.75 0.50 – 1.00 0.60 (0.14) 99.47 8 37 0.79 0.36 – 1.23 39.18 59.49 0.77 0.48 – 1.05 0.62 (0.16) 98.91

Note. k = number of samples; d. = mean Hedges’ d; 95% CI = 95% confidence interval; Q = Cochran’ Q test; τ2 = estimated amount of total heterogeneity (and standard error); I2 = level of between-sample heterogeneity; Random-effects model with weights used standardized N residuals as weights; - = no estimation of effect size was performed because no missing study was identified on the left-hand side of the funnel plot in Figure 2; df = degree of freedom, I2(2) = the amount of variance explained at level 2 (records); I2(3) = the amount of variance explained at level 3 (studies);

a

= significant likelihood ratio test between level 2 and level 3 models, χ2 = 7.98, df = 1, p = .005;

b

= significant likelihood ratio test between level 2 and level 3 models, χ2 = 8.34, df = 1, p = .004;

c

= significant likelihood ratio test between level 2 and level 3 models, χ2 = 20.92, df = 1, p < .001.

*

< .05,

**

< .01,

***

< .001.