Research Article

Comparative Performance of Four Single Extreme Outlier Discordancy Tests from Monte Carlo Simulations

Table 4

Test Performance Criterion P5 ( ) values for four single extreme outlier discordancy tests as a function of .

Discordancy tests
N2N8N14N15

5±0.10.0100520.00001390.0100250.0000140−0.2620.0100500.0000140−0.01530.0100600.00001440.085
5±20.0227150.00001130.0226420.0000125−0.3220.0227100.0000111−0.02120.0227330.00001160.079
5±30.0385140.00001480.0383680.0000142−0.3800.0385030.0000146−0.02910.0385410.00001460.070
5±40.0659200.00001550.0656060.0000154−0.480.0659000.0000155−0.03090.0659550.00001570.054
5±50.1081360.00002050.1075090.0000194−0.580.1080990.0000200−0.03510.1081770.00002080.0379
5±60.1653650.00002220.1642210.0000231−0.690.1652960.0000226−0.04220.1653980.00002250.0194
5±70.2353400.00002400.2334410.0000257−0.810.2352340.0000250−0.0450.2353390.0000237−0.00066
5±80.3146640.00002530.3117980.0000255−0.910.3145040.0000249−0.0510.3145990.0000247−0.0206
5±100.4858780.00002800.4806640.0000282−1.070.4855930.0000292−0.0590.4856060.0000287−0.056
5±10.170.500440.00002790.495030.00002871.080.500140.00002800.0590.500150.00002800.058
5±120.6488970.00002580.6415320.0000275−1.140.6485000.0000257−0.0610.6483710.0000258−0.081
5±150.8343850.00001940.8259470.0000215−1.010.8339300.0000196−0.0550.8336330.0000196−0.090
5±180.9370410.00001260.9304340.0000148−0.710.9366790.0000127−0.03870.9363820.0000134−0.070
5±200.9706780.00000820.9660030.0000089−0.480.9704230.0000084−0.02630.9701850.0000081−0.051
10±0.10.0101490.00001970.0101120.0000173−0.3640.0101560.00002070.0610.0101310.0000195−0.181
10±10.0211900.00001830.0206790.0000174−2.410.0210890.0000179−0.480.0211210.0000188−0.323
10±20.0508310.00001680.0484990.0000163−4.60.0502960.0000165−1.050.0505670.0000175−0.52
10±30.1210260.00001990.1132830.0000192−6.40.1191960.0000197−1.510.1202380.0000202−0.65
10±40.2630470.00002410.2430890.0000242−7.60.2583210.0000266−1.800.2611510.0000253−0.72
10±50.4761110.00002730.4389160.0000257−7.80.4674770.0000263−1.810.4728030.0000266−0.69
10±5.1050.5004740.00002850.4615880.00002617.80.4914730.00002731.800.4970480.00002720.68
10±60.6990600.00002480.6505320.0000258−6.90.6882010.0000260−1.550.6950790.0000249−0.57
10±70.8634400.00001820.8184150.0000226−5.20.8539420.0000174−1.100.8601010.0000185−0.387
10±80.9515120.00001220.9208450.0000144−3.220.9455780.0000118−0.620.9495050.0000130−0.211
10±90.9865690.00000740.9707660.0000092−1.600.9838610.0000075−0.2740.9857000.0000074−0.088
10±100.9971000.00000310.9907520.0000056−0.640.9961790.0000036−0.0920.9968200.0000030−0.0280
10±110.9995110.00000130.9974710.0000029−0.2040.9992740.0000016−0.02370.9994440.0000014−0.0067
15±0.10.0102320.00002040.0101890.0000210−0.4250.0102340.00002090.02040.0102410.00002000.089
15±0.50.0146930.00002360.0143350.0000202−2.440.0144930.0000249−1.370.0146550.0000240−0.260
15±10.0250570.00002250.0237710.0000186−5.10.0242980.0000241−3.030.0248870.0000236−0.68
15±2.50.1090470.00002120.0971380.0000185−10.90.1025490.0000212−6.00.1074590.0000213−1.46
15±30.1723280.00002450.1515670.0000236−12.00.1614140.0000251−6.30.1696500.0000236−1.55
15±40.3783530.00002880.3302830.0000270−12.70.3551480.0000332−6.10.3727170.0000285−1.49
15±4.460.5013730.00002790.4399740.000031312.20.4730720.00003215.60.4945640.00002971.36
15±50.6484230.00002690.5763990.0000266−11.10.6171660.0000290−4.820.6410280.0000287−1.14
15±60.8625570.00001980.7958060.0000211−7.70.8372650.0000196−2.930.8568500.0000201−0.66
15±70.9642430.00000930.9252210.0000144−4.050.9519100.0000112−1.280.9616480.0000098−0.269
15±80.9938930.00000430.9788160.0000094−1.520.9901780.0000054−0.3740.9931810.0000042−0.072
15±90.9993180.00000150.9952520.0000039−0.4070.9986070.0000019−0.0710.9991980.0000017−0.0120
15±100.9999510.00000040.9991420.0000017−0.0810.9998620.0000007−0.00890.9999380.0000005−0.00127
20±0.10.0102570.00002590.0102290.0000248−0.2710.0102140.0000243−0.4140.0102660.00002770.086
20±0.50.0154000.00002430.0148730.0000258−3.420.0149070.0000265−3.200.0153180.0000246−0.53
20±10.0272460.00002370.0252710.0000256−7.20.0255610.0000213−6.20.0269160.0000225−1.21
20±2.50.1266090.00002490.1083440.0000227−14.40.1130530.0000241−10.70.1237070.0000263−2.29
20±30.2015780.00002650.1703230.0000230−15.50.1795060.0000248−10.90.1968330.0000283−2.35
20±40.4385910.00002830.3711610.0000267−15.40.3959570.0000273−9.70.4295260.0000288−2.07
20±4.210.4993010.00002720.4246530.000026615.00.4532960.00002689.20.4895760.00002791.95
20±50.7233740.00002440.6347110.0000265−12.30.6743250.0000297−6.80.7133410.0000245−1.39
20±60.9144650.00001630.8471190.0000198−7.40.8831670.0000185−3.420.9084940.0000175−0.65
20±70.9841910.00000700.9539520.0000127−3.070.9731580.0000087−1.120.9823010.0000079−0.192
20±80.9982840.00000210.9897580.0000053−0.850.9960790.0000036−0.2210.9979590.0000025−0.0325
20±90.9998910.00000060.9982670.0000024−0.1620.9996340.0000011−0.02580.9998610.0000007−0.00309
20±100.9999960.00000010.9997710.0000010−0.02250.9999780.0000002−0.001800.9999940.0000001−0.00017