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. Author manuscript; available in PMC: 2019 Nov 1.
Published in final edited form as: J Multivar Anal. 2018 Jul 10;168:119–130. doi: 10.1016/j.jmva.2018.06.009

Table 2:

Simulation: summary based on 100 replicates. In each cell, mean (sd). TP1/FP1 and TP2/FP2: number of true/false positives for parametric and nonparametric effects.

ρ TP1 FP1 TP2 FP2
Error 1 0.1 A5 288 (0) 0.1 (0.2) 90.0 (0.0) 0.0 (0.0)
A6 288 (0) 0.1 (0.2) 90.0 (0.0) 0.0 (0.0)
A7 288 (0) 1.6 (1.2) 90.0 (0.0) 0.0 (0.0)
A8 288 (0) 1.6 (1.2) 90.0 (0.0) 0.0 (0.0)
0.5 A5 283.6 (2.1) 2.4 (1.5) 90.0 (0.0) 0.0 (0.0)
A6 283.2 (1.9) 2.4 (1.5) 90.0 (0.0) 0.0 (0.0)
A7 287.2 (0.8) 2.4 (1.6) 88.8 (1.1) 0.0 (0.0)
A8 287.2 (0.9) 2.4 (1.6) 88.8 (1.0) 0.0 (0.0)
0.9 A5 247.6 (3.8) 35.0 (4.6) 89.9 (0.3) 0.0 (0.0)
A6 171.6 (4.9) 16.9 (2.3) 89.9 (0.3) 0.0 (0.0)
A7 262.7 (6.9) 41.0 (11.6) 50.2 (1.3) 0.3 (0.5)
A8 204.7 (9.4) 6.5 (2.6) 43.0 (2.5) 0.0 (0.0)
Error 2 0.1 A5 287.0 (1.7) 196.5 (157.9) 89.9 (0.4) 0.4 (0.7)
A6 287.1 (1.3) 198.1 (158.0) 89.9 (0.3) 0.4 (0.7)
A7 287.3 (1.4) 201.5 (155.4) 89.5 (0.7) 0.3 (0.6)
A8 287.3 (1.4) 199.0 (155.4) 89.5 (0.7) 0.3 (0.6)
0.5 A5 274.5 (11.1) 171.7 (85.0) 87.9 (2.4) 0.6 (0.7)
A6 273.8 (11.5) 173.8 (86.9) 87.8 (2.6) 0.6 (0.7)
A7 274.6 (11.0) 176.0 (88.4) 78.3 (9.5) 0.33 (0.6)
A8 273.5 (12.0) 174.9 (89.9) 78.4 (9.1) 0.37 (0.6)
0.9 A5 242.1 (17.2) 182.6 (104.4) 88.6 (5.4) 0.9 (1.1)
A6 158.8 (23.4) 159.6 (115.3) 80.3 (12.3) 0.7 (0.9)
A7 227.6 (31.8) 160.1 (83.6) 45.4 (4.9) 0.6 (0.7)
A8 159.7 (39.8) 149.1 (116.0) 35.9 (7.7) 0.3 (0.6)
Error 3 0.1 A5 286.5 (1.9) 262.7 (133.7) 89.5 (0.7) 1.1 (0.8)
A6 286.7 (1.7) 265.4 (141.7) 89.4 (0.9) 1.0 (0.8)
A7 285.5 (1.9) 262.8 (134.0) 89.5 (0.7) 1.1 (0.8)
A8 286.7 (1.7) 263.8 (141.0) 89.4 (0.9) 1.0 (0.8)
0.5 A5 269.8 (11.2) 281.7 (126.5) 87.3 (3.0) 1.1 (1.0)
A6 269.0 (11.5) 288.6 (144.6) 87.4 (2.7) 1.1 (1.0)
A7 268.2 (9.9) 279.3 (147.5) 73.6 (2.6) 0.5 (0.7)
A8 264.1 (11.8) 268.9 (135.0) 72.1 (8.1) 0.6 (0.7)
0.9 A5 225.7 (21.0) 279.8 (154.9) 87.1 (6.7) 1.7 (1.4)
A6 145.1 (20.4) 253.6 (194.2) 74.8 (12.6) 1.4 (1.4)
A7 211.3 (33.3) 250.8 (142.9) 43.3 (4.9) 1.2 (0.9)
A8 139.8 (31.0) 233.6 (171.5) 32.4 (6.3) 1.0 (1.0)