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. 2024 Jun 18;14:14038. doi: 10.1038/s41598-024-64387-9

Table 3.

Coefficient estimates, standard errors (SE), t-values, degrees of freedom (df), p-values of the GCA mixed regression models.

Children
Term Coefficient estimate SE T-value df P-value
Intercept  − 9.79 1.49  − 6.59 546.07  < 0.001
Linear component (slope) 165.63 23.75 6.97 2390.11  < 0.001
Quadratic component  − 84.47 13.42  − 6.29 558.13  < 0.001
Cubic component 55.68 8.93 6.23 2479.99  < 0.001
Neurotype (autistic)  − 1.20 1.85  − 0.65 546.07 0.52
Sex (female)  − 12.60 2.19  − 5.76 546.07  < 0.001
Linear component (slope) × neurotype (autistic) 26.59 29.59 0.90 2390.13 0.37
Quadratic component × neurotype (autistic)  − 8.71 16.72  − 0.52 558.13 0.60
Cubic component × neurotype (autistic) 11.60 11.13 1.04 2479.99 0.30
Linear component (slope) × sex (female) 252.48 34.96 7.22 2390.14  < 0.001
Quadratic component × sex (female)  − 116.61 19.76  − 5.90 558.13  < 0.001
Cubic component × sex (female) 104.08 13.15 7.92 248 < 0.001  < 0.001
Neurotype (autistic) × sex (female) 8.39 3.02 2.78 546.07 0.01
Linear component (slope) × neurotype (autistic) × sex (female)  − 186.31 48.20  − 3.87 2390.15  < 0.001
Quadratic component × neurotype (autistic) × sex (female) 77.07 27.24 2.83 558.13  < 0.001
Cubic component × neurotype (autistic) × sex (female)  − 82.50 18.13  − 4.55 248 < 0.001  < 0.001
Adolescents
 (Intercept)  − 11.04 0.69  − 15.93 1122.84  < 0.001
 Linear component (slope) 182.03 11.09 16.42 4815.07  < 0.001
 Quadratic component  − 99.05 6.12  − 16.18 1309.13  < 0.001
 Cubic component 62.02 4.16 14.90 5017.94  < 0.001
 Neurotype (autistic) 0.34 0.90 0.37 1122.82 0.71
 Sex (female)  − 0.01 1.13  − 0.01 1122.80 0.99
 Linear component (slope) × neurotype (autistic)  − 1.26 14.39  − 0.09 4815.00 0.93
 Quadratic component × neurotype (autistic) 3.91 7.94 0.49 1309.10 0.62
 Cubic component × neurotype (autistic) 0.74 5.40 0.14 5017.96 0.89
 Linear component (slope) × sex (female) 10.98 18.14 0.61 4814.95 0.55
 Quadratic component × sex (female)  − 4.05 10.02  − 0.40 1309.08 0.69
 Cubic component × sex (female) 7.61 6.81 1.12 5017.97 0.26
 Neurotype (autistic) × sex (female) 2.38 1.59 1.49 1122.79 0.14
 Linear component (slope) × neurotype (autistic) × sex (female)  − 45.42 25.49  − 1.78 4814.92 0.07
 Quadratic component × neurotype (autistic) × sex (female) 22.45 14.07 1.60 1309.06 0.11
 Cubic component × neurotype (autistic) × sex (female)  − 19.80 9.57  − 2.07 5017.98 0.04
Adults
 (Intercept)  − 5.45 0.51  − 10.78 1102.18  < 0.001
 Linear component (slope) 87.12 8.03 10.84 4887.84  < 0.001
 Quadratic component  − 51.50 4.52  − 11.40 1194.59  < 0.001
 Cubic component 28.66 3.01 9.51 5126.04  < 0.001
 Neurotype (autistic)  − 0.81 0.68  − 1.19 1102.19 0.23
 S ex (female)  − 0.14 0.93  − 0.15 1102.20 0.88
 Linear component (slope) × neurotype (autistic) 16.70 10.78 1.55 4887.86 0.12
 Quadratic component × neurotype (autistic)  − 5.84 6.06  − 0.96 1194.60 0.34
 Cubic component × neurotype (autistic) 6.41 4.04 1.58 5126.02 0.11
 Linear component (slope) × sex (female) 5.14 14.81 0.35 4887.90 0.73
 Quadratic component × sex (female)  − 1.76 8.33  − 0.21 1194.61 0.83
 Cubic component × sex (female) 1.94 5.56 0.35 5126.01 0.73
 Neurotype (autistic) × sex (female)  − 1.16 1.26  − 0.92 1102.20 0.36
 Linear component (slope) × neurotype (autistic) × sex (female) 16.87 20.01 0.84 4887.90 0.40
 Quadratic component × neurotype (autistic) × sex (female)  − 13.46 11.24  − 1.20 1194.61 0.23
 Cubic component × neurotype (autistic) × sex (female) 6.40 7.50 0.85 5126.00 0.39