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Table 1 Fit indices and model comparisons

From: The latent structure of cognitive and emotional empathy in individuals with autism, first-degree relatives and typical individuals

Model Description Fit indices
  AIC BIC SSABIC RMSEA CFI TLI χ 2 Δχ 2 ( df )
One-factor models EQ items (Allison et al., 2011[36])
1 1f control group (n = 232) 13,673.951 13,942.797 13,695.578 0.090 0.673 0.644 865.2a  
2 1f parent group (n = 439) 25,650.600 25,969.013 25,721.480 0.083 0.833 0.818 1,193.9a  
3 1f autism group (n = 363) 22,451.458 22,755.222 22,507.762 0.087 0.748 0.726 1,123.5a  
Three-factor models EQ items (Lawrence et al., 2004[34])
4 3f control group (n = 232) 14,020.059 14,319.925 14,044.181 0.078 0.781 0.761 833.2a  
5 3f parent group (n = 439) 26,186.672 26,541.825 26,265.731 0.071 0.883 0.873 1,114.3a  
6 3f autism group (n = 363) 23,768.627 24,107.440 23,831.427 0.080 0.802 0.785 1,163.0a  
Three-factor models EQ items (Muncer et al., 2006[35])
7 3f control group (n = 232) 7,731.634 7,897.077 7,744.943 0.048 0.942 0.930 132.7a  
8 3f parent group (n = 439) 14,798.686 14,994.632 14,842.304 0.060 0.950 0.939 222.0a  
9 3f autism group (n = 363) 13,040.850 13,227.781 13,075.499 0.055 0.932 0.918 184.3a  
Three-factor multigroup models EQ items (Muncer et al., 2006[35])
10 3f multigroup all estimates vary (n = 1,034) 35,574.089 36,166.916 35,785.782 0.056 0.938 0.931 589.9a  
11 3f multigroup equal factor loadings (n = 1,034) 35,628.149 36,072.769 35,786.918 0.060 0.921 0.921 703.9a 114.1 (30) P <0.001
Three-factor model of cognitive empathy (EQ subscale, Eyes and KDEF), emotional empathy (EQ subscale) and social skills (EQ subscale and AQ_soc)
12 3f control group (n = 232) 8,331.507 8,527.971 8,347.312 0.044 0.945 0.936 1,202.4a  
13 3f parent group (n = 439) 16,721.291 16,954.108 16,773.218 0.055 0.947 0.938 3,463.6a  
14 3f autism group (n = 363) 19,949.121 20,171.102 19,990.266 0.067 0.894 0.877 2,162.7a  
Four-factor model of cognitive empathy (EQ subscale), emotional empathy (EQ subscale) social skills (EQ subscale and AQ_soc) and performance-based empathy (Eyes and KDEF)
15 4f control group (n = 232) 8,323.897 8,530.701 8,340.533 0.040 0.955 0.946 176.4a  
16 4f parent group (n = 439) 16,712.141 16,957.074 16,766.664 0.055 0.949 0.939 298.8a  
17 4f autism group (n = 363) 15,687.606 15,921.270 15,730.916 0.053 0.934 0.922 262.5a  
Four-factor multigroup models of cognitive empathy (EQ subscale), emotional empathy (EQ subscale) social skills (EQ subscale and AQ_soc) and performance-based empathy (Eyes and KDEF)
18 4f multigroup all estimates vary (n = 1,034) 40,743.301 41,494.361 41,011.591 0.052 0.938 0.932 808.0a  
19 4f multigroup equal factor loadings (n = 1,034) 40,894.787 41,467.965 41,099.535 0.061 0.909 0.907 1,031.5a 223.5 (36) P <0.001
Four factor multigroup models specifying sex effects (6 groups)
20 4f multigroup all estimates vary (n = 1,034) 40,757.204 42,190.149 41,269.074 0.058 0.923 0.916 1,332.5a  
21 4f multigroup equal factor loadings and equal variance estimates (n = 1,034) 40,873.332 41,861.570 41,226.345 0.066 0.891 0.893 1,628.6a 296.1 (90) P <0.001
22 4f multigroup equal factor loadings and free variance (n = 1,034) 40,745.441 41,832.503 41,133.757 0.059 0.914 0.914 1,460.7a 128.2 (70) P <0.001
  1. aP <0.001.
  2. AIC, Akaike information criteria; AQ_soc, social interaction factor of the Autism Quotient; BIC, Bayesian information criteria; CFI, Comparative fit index; Eyes, Items correct on Reading the Mind in the Eyes Task; KDEF, Weighted mean reaction time on the Karolinska Directed Emotional Faces task; RMSEA, Root mean square error of approximation; SSABIC, Sample size adjusted BIC; TLI, Tucker-Lewis index; χ2, chi square statistic; Δχ2 (df), chi square difference test.