|  | Simulated Under | |||
---|---|---|---|---|---|
n | Method | Constant | Linear | Nonlinear | Nonparametric |
 | Classical |  |  |  |  |
 |  Dixon | (10.5, 94.9, 90.7) | (17.3, 94.9, 91.0) | (18.5, 94.9, 91.1) | (17.7, 94.9, 91.0) |
 |  Grubbs | (20.8, 89.9, 86.5) | (30.1, 89.9, 87.0) | (34.4, 89.9, 87.2) | (33.7, 90.0, 87.2) |
 | Projection Quantile |  |  |  |  |
3 |  Constant | (90.6, 99.5, 99.0) | (56.0, 98.5, 96.4) | (58.8, 95.7, 93.9) | (57.9, 95.7, 93.8) |
 |  Linear | (90.4, 99.5, 99.0) | (84.0, 99.3, 98.5) | (85.1, 96.5, 95.9) | (84.8, 96.6, 96.0) |
 |  Nonlinear | (90.4, 99.5, 99.0) | (84.0, 99.3, 98.5) | (84.8, 98.5, 97.8) | (83.5, 98.4, 97.7) |
 |  Nonparametric | (85.3, 99.2, 98.5) | (82.0, 99.1, 98.2) | (83.5, 99.0, 98.2) | (83.2, 99.0, 98.2) |
 | Classical |  |  |  |  |
 |  Dixon | (29.7, 95.0, 91.7) | (44.1, 95.0, 92.4) | (54.9, 94.9, 92.9) | (54.5, 94.9, 92.9) |
 |  Grubbs | (49.6, 90.0, 88.0) | (61.1, 90.0, 88.6) | (71.2, 90.0, 89.1) | (70.2, 89.9, 89.0) |
 | Projection Quantile |  |  |  |  |
4 |  Constant | (89.4, 99.6, 99.1) | (46.4, 99.1, 96.5) | (44.3, 97.2, 94.6) | (43.8, 97.3, 94.6) |
 |  Linear | (89.3, 99.6, 99.0) | (86.8, 99.5, 98.8) | (86.3, 97.0, 96.5) | (86.4, 97.2, 96.6) |
 |  Nonlinear | (89.3, 99.6, 99.0) | (86.8, 99.5, 98.8) | (87.5, 99.2, 98.6) | (87.8, 99.1, 98.5) |
 |  Nonparametric | (84.8, 99.3, 98.6) | (84.5, 99.3, 98.5) | (86.5, 99.2, 98.5) | (85.9, 99.1, 98.4) |
 | Classical |  |  |  |  |
 |  Dixon | (51.5, 94.6, 92.4) | (63.0, 94.6, 93.0) | (73.0, 94.6, 93.5) | (72.6, 94.6, 93.5) |
 |  Grubbs | (70.7, 90.0, 89.0) | (77.0, 90.0, 89.4) | (82.3, 90.0, 89.6) | (82.0, 90.1, 89.7) |
 | Projection Quantile |  |  |  |  |
5 |  Constant | (89.2, 99.6, 99.1) | (40.0, 99.5, 96.5) | (35.9, 97.9, 94.8) | (35.0, 97.9, 94.8) |
 |  Linear | (89.0, 99.6, 99.1) | (87.3, 99.5, 98.9) | (85.5, 97.5, 96.9) | (84.6, 97.6, 96.9) |
 |  Nonlinear | (89.0, 99.6, 99.1) | (87.3, 99.5, 98.9) | (87.2, 99.3, 98.7) | (86.2, 99.2, 98.6) |
 |  Nonparametric | (84.1, 99.4, 98.6) | (84.2, 99.3, 98.5) | (86.9, 99.0, 98.4) | (86.0, 99.0, 98.4) |
 | Classical |  |  |  |  |
 |  Dixon | (66.0, 94.4, 92.9) | (73.3, 94.4, 93.3) | (79.6, 94.4, 93.6) | (79.9, 94.5, 93.8) |
 |  Grubbs | (81.1, 90.0, 89.6) | (82.9, 90.0, 89.7) | (86.1, 90.0, 89.8) | (86.0, 90.2, 90.0) |
 | Projection Quantile |  |  |  |  |
6 |  Constant | (87.6, 99.6, 99.0) | (34.1, 99.6, 96.4) | (29.7, 98.2, 94.8) | (29.7, 98.4, 94.9) |
 |  Linear | (87.4, 99.6, 99.0) | (85.9, 99.5, 98.8) | (82.5, 97.9, 97.1) | (82.7, 98.0, 97.2) |
 |  Nonlinear | (87.4, 99.6, 99.0) | (85.9, 99.5, 98.8) | (85.7, 99.3, 98.1) | (85.0, 99.2, 98.5) |
 |  Nonparametric | (82.8, 99.3, 98.5) | (83.4, 99.3, 98.5) | (86.0, 99.2, 98.6) | (85.8, 99.1, 98.5) |
 | Classical |  |  |  |  |
 |  Dixon | (73.2, 94.3, 93.2) | (78.4, 94.3, 93.5) | (83.5, 94.3, 93.7) | (83.6, 94.3, 93.8) |
 |  Grubbs | (85.8, 90.0, 89.8) | (86.5, 90.1, 89.9) | (88.2, 90.1, 90.0) | (88.0, 90.2, 90.0) |
 | Projection Quantile |  |  |  |  |
7 |  Constant | (86.2, 99.6, 99.0) | (30.2, 99.8, 96.3) | (26.3, 98.6, 95.0) | (26.1, 98.6, 95.0) |
 |  Linear | (85.8, 99.6, 98.9) | (85.6, 99.5, 98.8) | (81.4, 98.3, 97.5) | (80.4, 98.3, 97.4) |
 |  Nonlinear | (85.8, 99.6, 98.9) | (85.6, 99.4, 98.7) | (85.9, 99.5, 98.8) | (84.7, 99.3, 98.6) |
 |  Nonparametric | (80.8, 99.3, 98.4) | (82.3, 99.3, 98.5) | (86.2, 99.2, 98.6) | (85.8, 99.2, 98.5) |
 | Classical |  |  |  |  |
 |  Dixon | (71.2, 94.5, 93.4) | (76.7, 94.5, 93.6) | (82.4, 94.5, 93.9) | (82.7, 94.5, 93.9) |
 |  Grubbs | (89.1, 90.0, 90.0) | (87.7, 90.0, 89.9) | (89.2, 90.0, 90.0) | (89.3, 90.0, 89.9) |
 | Projection Quantile |  |  |  |  |
8 |  Constant | (85.9, 99.7, 99.0) | (26.5, 99.8, 96.1) | (23.2, 98.0, 94.2) | (24.1, 97.9, 94.2) |
 |  Linear | (85.7, 99.6, 98.9) | (84.8, 99.4, 98.7) | (77.1, 98.1, 97.0) | (77.3, 98.1, 97.1) |
 |  Nonlin | (85.7, 99.6, 98.9) | (84.8, 98.8, 98.1) | (84.4, 99.4, 98.7) | (84.0, 99.3, 98.5) |
 |  Nonparametric | (80.2, 99.4, 98.4) | (81.6, 99.3, 98.4) | (85.7, 99.2, 98.5) | (86.2, 99.1, 98.5) |