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. Author manuscript; available in PMC: 2018 Jul 1.
Published in final edited form as: J Abnorm Psychol. 2017 Jul;126(5):593–606. doi: 10.1037/abn0000226

Table 2.

Model Fit Indices.

Model Fit Statistics
Model −2lnL (df) Δχ2 (Δdf) p AIC
Initial Moderation Analyses
Full Moderation (Quadratic and Linear) 3239.53 (1172) -- -- 895.53
No Moderation 3262.18 (1178) 22.65 (6) <.001 906.18
Alternative Moderation Models
Drop Quadratic C and E Moderation 3240.57 (1174) 1.04 (21) .31 892.57
Linear Moderation 3244.65 (1175) 5.11 (3) .16 894.64
Post-Hoc Moderation Analyses
Separating Mid-to-Late Puberty and Post-Puberty Groups
Full Moderation (Quadratic and Linear) 3225.98 (1172) -- -- 881.98
No Moderation 3254.40 (1178) 28.42 (6) <.001 898.40
Alternative Moderation Models
Drop Quadratic C and E Moderation 3226.22 (1174) 0.24 (2) .89 878.22
Linear Moderation 3235.12 (1175) 9.14 (3) .03 885.12
Removal of Adrenarcheal Twins Ages 6-7
Full Moderation (Quadratic and Linear) 2116.59 (778) -- -- 560.59
No Moderation 2130.29 (784) 13.70 (6) .03 562.29
Alternative Moderation Models
Drop Quadratic E Moderation 2117.01 (779) 0.42 (1) .52 559.01
Drop Quadratic C and E Moderation 2117.41 (780) 0.82 (2) .66 557.41
Linear Moderation 2127.09 (781) 10.50 (3) .01 565.09

Note: Full Moderation Model = allows genetic, shared environmental, and nonshared environmental estimates to vary both linearly and quadratically across levels of the moderator; No Moderation Model = constrains genetic, shared environmental, and nonshared environmental estimates to be equal across the moderator; Linear Moderation Model = allows genetic, shared environmental, and nonshared environmental estimates to only vary linearly across levels of the moderator; Drop Quadratic C and E Moderation Model = retained all linear moderation and the quadratic moderation of genetic influences, but dropped quadratic moderation of shared and nonshared environmental influences. Drop Quadratic E Moderation Model = retained all linear moderation and the quadratic moderation of genetic and shared environmental influences, but dropped quadratic moderation of nonshared environmental influences. A = additive genetic, C = shared environment, E = nonshared environment; −2lnL= −2 times the log likelihood; df= degrees of freedom; Δχ2 = change in chi-square, via differences in −2lnL, from the least restrictive moderation model (i.e., full moderation model); Δdf = change in degrees of freedom from the least restrictive moderation model (i.e., full moderation model). AIC =Akaike Information Criterion. To evaluate model fit, each nested model is compared to the full moderation model when calculating the change in −2lnL and degrees of freedom. The ‘Drop quadratic C and E moderation model’ was best-fitting in the initial moderation analyses and the post-hoc analyses. A significant p-value for Δχ2 indicates significantly worse fit of the more restrictive model.