Journal of Probability and Statistics / 2019 / Article / Tab 2 / Research Article
Conditional Analysis for Mixed Covariates, with Application to Feed Intake of Lactating Sows Table 2 Average MAE (standard error in parentheses) of the predicted
level quantile for the case of having a scalar covariate and a sparsely observed functional covariate. Sample size
Distribution SNR Method Normal 150 Joint QR 1.68 (0.01)1.65 (0.01) 1.62 (0.01) 1.60 (0.01) Pointwise QR 1.94 (0.01) 1.92 (0.01) 1.88 (0.01) 1.81 (0.01) Mod CM 1.93 (0.01) 1.88 (0.01) 1.87 (0.01) 1.87 (0.01) PQR 1.72 (0.01) 1.61 (0.01)1.51 (0.01)1.48 (0.01)Normal 10 Joint QR 5.45 (0.02)4.97 (0.02)4.66 (0.02)4.65 (0.02) Pointwise QR 5.64 (0.02) 5.13 (0.02) 4.78 (0.02) 4.75 (0.02) Mod CM 5.69 (0.02) 5.21 (0.02) 4.87 (0.02) 4.85 (0.02) PQR 5.85 (0.02) 5.37 (0.02) 4.81 (0.02) 4.60 (0.02)Normal 5 Joint QR 7.34 (0.03)6.54 (0.02)5.94 (0.02)5.85 (0.02) Pointwise QR 7.53 (0.03) 6.69 (0.02) 6.04 (0.02) 5.94 (0.02) Mod CM 7.53 (0.03) 6.77 (0.02) 6.18 (0.02) 6.06 (0.02) PQR 7.84 (0.03) 7.05 (0.02) 6.16 (0.02) 5.81 (0.02)Normal 2 Joint QR 9.97 (0.03)8.70 (0.03)7.62 (0.02)7.38 (0.02) Pointwise QR 10.15 (0.03) 8.85 (0.03) 7.71 (0.02) 7.45 (0.02) Mod CM 10.12 (0.03) 8.93 (0.03) 7.87 (0.03) 7.60 (0.03) PQR 10.55 (0.04) 9.34 (0.03) 7.91 (0.03) 7.34 (0.02)Normal 1 Joint QR 11.69 (0.04)10.10 (0.03)8.68 (0.03)8.32 (0.03) Pointwise QR 11.88 (0.04) 10.25 (0.04) 8.77 (0.03) 8.39 (0.03) Mod CM 11.85 (0.04) 10.37 (0.04) 8.96 (0.03) 8.57 (0.03) PQR 12.29 (0.04) 10.77 (0.04) 9.02 (0.03) 8.29 (0.03)Mixture 150 Joint QR 4.56 (0.02) 4.44 (0.02) 4.33 (0.03) 3.68 (0.03) Pointwise QR 4.34 (0.03)4.24 (0.02)4.20 (0.03)3.66 (0.04) Mod CM 4.68 (0.03) 4.59 (0.02) 4.38 (0.03) 4.01 (0.03) PQR 7.84 (0.03) 6.45 (0.02) 5.29 (0.02) 3.19 (0.01)Mixture 10 Joint QR 7.56 (0.03) 6.79 (0.02) 6.14 (0.03) 5.02 (0.03) Pointwise QR 7.49 (0.03)6.61 (0.02)5.88 (0.03)5.02 (0.03) Mod CM 7.67 (0.04) 6.97 (0.03) 6.17 (0.03) 5.52 (0.04) PQR 10.11 (0.04) 8.29 (0.03) 6.71 (0.02) 3.62 (0.02)Mixture 5 Joint QR 9.20 (0.04) 7.13 (0.03) 6.94 (0.03) 5.6 (0.03) Pointwise QR 9.17 (0.04)7.01 (0.03)6.71 (0.03)5.58 (0.03) Mod CM 9.32 (0.04) 7.37 (0.03) 7.08 (0.03) 6.18 (0.04) PQR 11.46 (0.04) 9.36 (0.03) 7.49 (0.03) 4.32 (0.02)Mixture 2 Joint QR 11.57 (0.05)9.02 (0.03)8.05 (0.03) 6.35 (0.03) Pointwise QR 11.58 (0.05) 8.98 (0.04) 7.90 (0.03)6.31 (0.03) Mod CM 11.69 (0.05) 9.38 (0.04) 8.38 (0.04) 7.01 (0.04) PQR 13.49 (0.05) 10.95 (0.04) 8.61 (0.03) 5.32 (0.02)Mixture 1 Joint QR 13.18 (0.05)10.31 (0.04) 8.79 (0.04)6.79 (0.03) Pointwise QR 13.21 (0.05) 10.28 (0.04)8.69 (0.04) 6.73 (0.03) Mod CM 13.26 (0.05) 10.67 (0.04) 9.21 (0.04) 7.47 (0.04) PQR 14.93 (0.06) 12.05 (0.04) 9.35 (0.04) 5.96 (0.02)
