Research Article

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

Table 3

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

Discordancy tests
N2N8N14N15

5±0.10.0200340.00001630.0199860.0000163−0.2430.0200310.0000165−0.01910.0200530.00001670.092
5±20.0285370.00001250.0284560.0000128−0.2830.0285310.0000124−0.02240.0285630.00001270.089
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±70.2353400.00002400.2334410.0000257−0.810.2352340.0000250−0.0450.2353390.0000237−0.0007
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±10.170.500440.00002790.495030.0000287−1.080.500140.0000280−0.0590.500150.0000280−0.058
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±0.10.0201210.00002160.0200500.0000181−0.3520.0201310.00002180.0520.0200870.0000211−0.169
10±10.0296150.00001890.0291240.0000180−1.660.0295220.0000185−0.3160.0295460.0000193−0.233
10±20.0561820.00001690.0539670.0000177−3.940.0556080.0000161−1.020.0560050.0000176−0.314
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±0.10.0202120.00002140.0201570.0000214−0.2720.0202360.00002170.1170.0202330.00002120.106
15±0.50.0243060.00002410.0239630.0000203−1.410.0241430.0000259−0.670.0242840.0000250−0.091
15±10.0336600.00002360.0324500.0000192−3.600.0329820.0000251−2.010.0335450.0000245−0.341
152.50.1138070.00002180.1020670.0000195−10.30.1076800.0000210−5.40.1131120.0000226−0.61
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±50.6484230.00002690.5763990.0000266−11.10.6171660.0000290−4.80.6410280.0000287−1.14
15±60.8625570.00001980.7958060.0000211−7.740.8372650.0000196−2.930.8568500.0000201−0.66
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±0.10.0202220.00002530.0202130.0000242−0.0460.0201750.0000238−0.2370.0202480.00002700.126
20±0.50.0250490.00002510.0245660.0000260−1.930.0245780.0000267−1.880.0249920.0000255−0.227
20±10.0360240.00002490.0341540.0000266−5.20.0344540.0000228−4.360.0357810.0000235−0.67
202.50.1321800.00002570.1139550.0000238−13.80.1197390.0000238−9.40.1308610.0000269−1.00
20±30.2015780.00002650.1703230.0000230−15.50.1795060.0000248−10.90.1968330.0000283−2.35
2040.4385910.00002830.3747220.0000286−14.60.3959570.0000273−9.70.4295260.0000288−2.07
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