Journal of Probability and Statistics / 2019 / Article / Tab 3 / Research Article
Conditional Analysis for Mixed Covariates, with Application to Feed Intake of Lactating Sows Table 3 Average MAE (standard error in parentheses) of the predicted
level quantile for the case of heteroskedasticity with a scalar covariate and a sparsely observed functional covariate.
Sample size SNR Method 100 150 Joint QR 4.41 (0.03) 3.99 (0.02) 3.48 (0.02) 3.25 (0.02) Pointwise QR 5.40 (0.03) 4.84 (0.03) 4.26 (0.02) 4.21 (0.03) Mod CM 6.00 (0.03) 5.71 (0.03) 5.42 (0.03) 5.39 (0.03) PQR 4.38 (0.05)3.43 (0.03)2.52 (0.02)2.14 (0.02)100 10 Joint QR 6.93 (0.03)6.40 (0.03)5.89 (0.02) 5.76 (0.02) Pointwise QR 7.94 (0.04) 7.20 (0.03) 6.48 (0.03) 6.30 (0.03) Mod CM 8.41 (0.04) 8.22 (0.04) 8.13 (0.04) 8.05 (0.04) PQR 7.76 (0.06) 6.57 (0.04) 5.47 (0.03)5.08 (0.02)100 5 Joint QR 8.44 (0.04)7.72 (0.03)7.05 (0.03) 6.86 (0.03) Pointwise QR 9.44 (0.05) 8.50 (0.04) 7.57 (0.03) 7.26 (0.03) Mod CM 9.65 (0.05) 9.40 (0.05) 9.36 (0.05) 9.26 (0.05) PQR 9.51 (0.07) 8.25 (0.05) 6.87 (0.03)6.33 (0.02)100 2 Joint QR 10.68 (0.05)9.63 (0.04)8.60 (0.03)8.30 (0.03) Pointwise QR 11.55 (0.06) 10.29 (0.05) 9.00 (0.04) 8.54 (0.03) Mod CM 11.27 (0.05) 10.80 (0.05) 10.43 (0.05) 10.40 (0.06) PQR 12.07 (0.08) 10.53 (0.06) 8.66 (0.04) 7.92 (0.03)100 1 Joint QR 12.23 (0.06)10.91 (0.05)9.54 (0.04)9.11 (0.03) Pointwise QR 12.87 (0.07) 11.39 (0.05) 9.85 (0.04) 9.29 (0.03) Mod CM 12.43 (0.06) 11.80 (0.06) 11.19 (0.06) 11.09 (0.07) PQR 13.70 (0.09) 11.91 (0.06) 9.70 (0.04) 8.84 (0.03)1000 150 Joint QR 2.87 (0.01)2.42 (0.01)1.89 (0.01) 1.65 (0.01) Pointwise QR 3.06 (0.01) 2.60 (0.01) 2.07 (0.01) 1.86 (0.01) Mod CM 3.13 (0.01) 2.65 (0.01) 2.10 (0.01) 1.91 (0.01) PQR 3.10 (0.01) 2.47 (0.01) 1.78 (0.01)1.48 (0.01)1000 10 Joint QR 6.21 (0.02)5.45 (0.02)4.79 (0.02)4.66 (0.02) Pointwise QR 6.38 (0.02) 5.59 (0.02) 4.90 (0.02) 4.77 (0.02) Mod CM 6.46 (0.02) 5.70 (0.02) 5.01 (0.02) 4.86 (0.02) PQR 6.68 (0.03) 5.82 (0.02) 4.92 (0.02) 4.60 (0.02)1000 5 Joint QR 8.08 (0.03)7.01 (0.02)6.07 (0.02)5.85 (0.02) Pointwise QR 8.27 (0.03) 7.15 (0.02) 6.16 (0.02) 5.94 (0.02) Mod CM 8.30 (0.03) 7.26 (0.02) 6.31 (0.02) 6.08 (0.02) PQR 8.64 (0.03) 7.50 (0.03) 6.27 (0.02) 5.81 (0.02)1000 2 Joint QR 10.76 (0.03)9.21 (0.03)7.76 (0.02)7.38 (0.02) Pointwise QR 10.95 (0.04) 9.34 (0.03) 7.85 (0.03) 7.45 (0.02) Mod CM 10.92 (0.03) 9.45 (0.03) 8.01 (0.03) 7.60 (0.03) PQR 11.38 (0.04) 9.79 (0.03) 8.03 (0.03) 7.34 (0.02)1000 1 Joint QR 12.54 (0.04)10.65 (0.03)8.83 (0.03)8.32 (0.03) Pointwise QR 12.74 (0.04) 10.81 (0.04) 8.92 (0.03) 8.39 (0.03) Mod CM 12.70 (0.04) 10.91 (0.04) 9.10 (0.03) 8.56 (0.03) PQR 13.16 (0.05) 11.26 (0.04) 9.13 (0.03) 8.29 (0.03)
