Skip to main content
. 2020 Dec 15;11:593336. doi: 10.3389/fpsyt.2020.593336

Table 1.

Mean absolute error (standard error) and Spearman correlation coefficient (ρ) between age and prediction error for each model on the validation set.

BLUP-mean BLUP-quantiles SVM 6-layer CNN Age spe. 6-layer CNN ResNet Inception V1 Ensemble prediction PAC results
First challenge MAE (SE) 5.32 (0.19) 4.90 (0.19) 5.31 (0.18) 4.18 (0.16) 4.01 (0.15) 4.02 (0.15) 3.82 (0.14) 3.46 (0.13)* 3.33
|ρ| 0.32 0.37 0.58 0.25 0.30 0.24 0.41 0.32 0.21
Second challenge MAE (SE) 6.15 (0.23) 5.96 (0.23) 6.14 (0.23) 5.27 (0.21) 5.17 (0.20) 5.25 (0.20) 4.97 (0.19) 4.69 (0.19)* 4.83
|ρ| 0.14 0.15 0.15 0.084 0.068 0.11 0.058 0.058 0.021

The standard error [SE = SD/sqrt(N)] reflects the uncertainty around the MAE estimate. A 95% confidence interval may be calculated as MAE ± 1.96*SE, though it (falsely) assumes normality of the absolute error distribution. We performed ensemble prediction using linear combination of age predictors, with linear weights estimated via linear regression. SE of the MAE for ensemble prediction were calculated by bootstrap.

*

Indicates a significant reduction of MAE via ensemble learning compared with Inception alone (p <0.05). PAC results were provided by the PAC team and estimated on participants not available to the authors.