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. 2015 Apr 6;10(4):e0121554. doi: 10.1371/journal.pone.0121554

Table 2. Results of the pre-study (Model 1).

Coefficient z SE p
Fixed effects
Level 1
Intercept 2.92 20.51 0.14 <.001
I 1it -0.01 -0.07 0.11 .941
I 2it 0.10 0.68 0.15 .496
C it 2.59 14.72 0.18 <.001
I 1it C it -0.05 -0.38 0.13 .701
I 2it C it -0.17 -0.94 0.18 .350
Random effects
s 2(ε it) 1.49 37.30 0.04 <.001
s 2(υ 0t) 0.41 3.02 0.13 .003
s 2(υ 1t) 0.16 2.32 0.07 .020
s 2(υ 2t) 0.20 2.45 0.08 .014
s 2(υ 3t) 0.45 3.05 0.15 .002
s(υ 0t, υ 1t) 0.06 0.81 0.07 .418
s(υ 0t, υ 2t) -0.07 -0.95 0.08 .343
s(υ 0t, υ 3t) -0.22 -1.96 0.11 .050
s(υ 1t, υ 2t) 0.09 1.57 0.06 .116
s(υ 1t, υ 3t) -0.14 -1.86 0.08 .063
s(υ 2t, υ 3t) -0.08 -0.97 0.08 .332

I 1it and I 2it are Indicator or Dummy variables indicating the stimulus category (I 1it: 1 = African infants, 0 = Caucasian infants; I 2it: 1 = dog puppies, 0 = Caucasian infants). C it represents cuteness category (C it: 0 = less cute, 1 = cute). Interactions are I 1it C it and I 2it C it. Robust estimators were used for statistical inference with respect to fixed effects and variance components to account for possible violations of model assumptions, such as normality of Level-2 residuals. Degrees of freedom were computed based on the Satterthwaite’s Approximation to account for the moderate sample size at Level 2 [46]. Therefore, the degrees of freedom were not necessarily integers and could vary across tests independent of the number of parameters.