Research Article
Comparative Performance of Four Single Extreme Outlier Discordancy Tests from Monte Carlo Simulations
Table 6
Test Performance Criterion P5 (
) values for four single extreme outlier discordancy tests as a function of
.
| | | Discordancy tests | N2 | N8 | N14 | N15 | | | | | | | | | | | |
| 5 | ±1.1 | 0.011106 | 0.0000274 | 0.011080 | 0.0000273 | −0.237 | 0.011101 | 0.0000274 | −0.0425 | 0.011115 | 0.0000280 | 0.076 | 5 | ±3 | 0.056787 | 0.0000393 | 0.056474 | 0.0000387 | −0.55 | 0.056768 | 0.0000397 | −0.0321 | 0.056810 | 0.0000382 | 0.0408 | 5 | ±5 | 0.146913 | 0.0000462 | 0.145680 | 0.0000452 | −0.84 | 0.146842 | 0.0000447 | −0.048 | 0.146893 | 0.0000452 | −0.0131 | 5 | ±7 | 0.250890 | 0.0000523 | 0.248598 | 0.0000537 | −0.91 | 0.250762 | 0.0000512 | −0.051 | 0.250790 | 0.0000524 | −0.0397 | 5 | ±10 | 0.390462 | 0.0000624 | 0.387183 | 0.0000608 | −0.84 | 0.390280 | 0.0000627 | −0.047 | 0.390249 | 0.0000624 | −0.055 | 5 | ±13.1 | 0.50043 | 0.0000544 | 0.49686 | 0.0000559 | −0.71 | 0.50023 | 0.0000544 | −0.0406 | 0.50018 | 0.0000553 | −0.050 | 5 | ±15 | 0.552883 | 0.0000554 | 0.549351 | 0.0000535 | −0.64 | 0.552692 | 0.0000547 | −0.0346 | 0.552630 | 0.0000551 | −0.046 | 5 | ±20 | 0.653179 | 0.0000491 | 0.649982 | 0.0000501 | −0.49 | 0.653009 | 0.0000491 | −0.0262 | 0.652941 | 0.0000480 | −0.0365 | 5 | ±30 | 0.764071 | 0.0000476 | 0.761610 | 0.0000464 | −0.322 | 0.763935 | 0.0000480 | −0.0178 | 0.763882 | 0.0000487 | −0.0248 | 5 | ±40 | 0.822288 | 0.0000430 | 0.820357 | 0.0000442 | −0.235 | 0.822181 | 0.0000431 | −0.0130 | 0.822138 | 0.0000428 | −0.0182 | 5 | ±60 | 0.881517 | 0.0000389 | 0.880180 | 0.0000385 | −0.152 | 0.881443 | 0.0000392 | −0.0084 | 0.881408 | 0.0000394 | −0.0124 | 5 | ±80 | 0.911274 | 0.0000321 | 0.910263 | 0.0000327 | −0.111 | 0.911218 | 0.0000324 | −0.0061 | 0.911195 | 0.0000311 | −0.0087 | 5 | ±120 | 0.941005 | 0.0000307 | 0.940328 | 0.0000307 | −0.072 | 0.940970 | 0.0000306 | −0.00371 | 0.940951 | 0.0000306 | −0.0058 | 5 | ±160 | 0.955830 | 0.0000281 | 0.955330 | 0.0000269 | −0.052 | 0.955801 | 0.0000285 | −0.00302 | 0.955792 | 0.0000281 | −0.00395 | 5 | ±200 | 0.964715 | 0.0000244 | 0.964312 | 0.0000248 | −0.0417 | 0.964693 | 0.0000241 | −0.00226 | 0.964681 | 0.0000242 | −0.00345 | 10 | ±1.1 | 0.013593 | 0.0000385 | 0.013418 | 0.0000340 | −1.29 | 0.013562 | 0.0000384 | −0.227 | 0.013564 | 0.0000378 | −0.209 | 10 | ±3 | 0.222304 | 0.0000659 | 0.207623 | 0.0000591 | −6.6 | 0.218930 | 0.0000661 | −1.52 | 0.220981 | 0.0000656 | −0.60 | 10 | ±5 | 0.458753 | 0.0000661 | 0.437008 | 0.0000668 | −4.7 | 0.453946 | 0.0000689 | −1.05 | 0.456939 | 0.0000667 | −0.395 | 10 | ±5.41 | 0.499554 | 0.0000668 | 0.477805 | 0.0000682 | −4.35 | 0.494764 | 0.0000629 | −0.96 | 0.49776 | 0.0000674 | −0.359 | 10 | ±7 | 0.602388 | 0.0000651 | 0.582111 | 0.0000625 | −3.37 | 0.597979 | 0.0000649 | −0.73 | 0.600766 | 0.0000684 | −0.269 | 10 | ±10 | 0.721760 | 0.0000501 | 0.705530 | 0.0000527 | −2.25 | 0.718290 | 0.0000492 | −0.48 | 0.720482 | 0.0000517 | −0.177 | 10 | ±15 | 0.817312 | 0.0000418 | 0.805848 | 0.0000426 | −1.40 | 0.814868 | 0.0000429 | −0.299 | 0.816420 | 0.0000412 | −0.109 | 10 | ±20 | 0.864739 | 0.0000433 | 0.856024 | 0.0000408 | −1.01 | 0.862890 | 0.0000426 | −0.214 | 0.864058 | 0.0000439 | −0.079 | 10 | ±30 | 0.911335 | 0.0000299 | 0.905514 | 0.0000319 | −0.64 | 0.910096 | 0.0000294 | −0.136 | 0.910883 | 0.0000309 | −0.050 | 10 | ±40 | 0.934126 | 0.0000272 | 0.929776 | 0.0000294 | −0.47 | 0.933203 | 0.0000279 | −0.099 | 0.933789 | 0.0000276 | −0.0360 | 10 | ±50 | 0.947611 | 0.0000234 | 0.944143 | 0.0000241 | −0.366 | 0.946875 | 0.0000242 | −0.078 | 0.947342 | 0.0000238 | −0.0284 | 10 | ±100 | 0.974142 | 0.0000183 | 0.972421 | 0.0000184 | −0.177 | 0.973777 | 0.0000185 | −0.0374 | 0.974010 | 0.0000184 | −0.0136 | 10 | ±150 | 0.982843 | 0.0000161 | 0.981700 | 0.0000168 | −0.116 | 0.982600 | 0.0000166 | −0.0247 | 0.982756 | 0.0000161 | −0.0089 | 10 | ±200 | 0.987171 | 0.0000142 | 0.986318 | 0.0000144 | −0.086 | 0.986991 | 0.0000138 | −0.0183 | 0.987105 | 0.0000143 | −0.0067 | 15 | ±1.1 | 0.015232 | 0.0000509 | 0.014804 | 0.0000414 | −2.81 | 0.014971 | 0.0000442 | −1.71 | 0.015180 | 0.0000518 | −0.340 | 15 | ±3 | 0.307670 | 0.0000774 | 0.277454 | 0.0000694 | −9.8 | 0.293796 | 0.0000758 | −4.5 | 0.304363 | 0.0000734 | −1.08 | 15 | ±4.5 | 0.508306 | 0.0000693 | 0.473352 | 0.0000627 | −6.9 | 0.493247 | 0.0000686 | −2.96 | 0.504762 | 0.0000674 | −0.70 | 15 | ±5 | 0.555712 | 0.0000644 | 0.521524 | 0.0000708 | −6.2 | 0.541147 | 0.0000721 | −2.62 | 0.552297 | 0.0000664 | −0.61 | 15 | ±7 | 0.684663 | 0.0000590 | 0.655963 | 0.0000589 | −4.19 | 0.672765 | 0.0000603 | −1.74 | 0.681886 | 0.0000602 | −0.406 | 15 | ±10 | 0.784156 | 0.0000518 | 0.762607 | 0.0000574 | −2.75 | 0.775363 | 0.0000548 | −1.12 | 0.782114 | 0.0000522 | −0.260 | 15 | ±15 | 0.860198 | 0.0000416 | 0.845545 | 0.0000444 | −1.70 | 0.854249 | 0.0000423 | −0.69 | 0.858831 | 0.0000422 | −0.159 | 15 | ±20 | 0.897091 | 0.0000348 | 0.886105 | 0.0000350 | −1.22 | 0.892656 | 0.0000352 | −0.49 | 0.896063 | 0.0000350 | −0.115 | 15 | ±30 | 0.932834 | 0.0000271 | 0.925572 | 0.0000285 | −0.78 | 0.929908 | 0.0000291 | −0.314 | 0.932159 | 0.0000271 | −0.072 | 15 | ±40 | 0.950189 | 0.0000256 | 0.944782 | 0.0000263 | −0.57 | 0.948017 | 0.0000256 | −0.228 | 0.949688 | 0.0000258 | −0.053 | 15 | ±60 | 0.967191 | 0.0000212 | 0.963613 | 0.0000224 | −0.370 | 0.965751 | 0.0000218 | −0.149 | 0.966859 | 0.0000207 | −0.0343 | 15 | ±80 | 0.975546 | 0.0000199 | 0.972878 | 0.0000213 | −0.274 | 0.974475 | 0.0000198 | −0.110 | 0.975299 | 0.0000200 | −0.0253 | 15 | ±140 | 0.986132 | 0.0000140 | 0.984621 | 0.0000148 | −0.153 | 0.985524 | 0.0000143 | −0.062 | 0.985992 | 0.0000137 | −0.0142 | 15 | ±200 | 0.990334 | 0.0000113 | 0.989278 | 0.0000127 | −0.107 | 0.989908 | 0.0000116 | −0.0429 | 0.990235 | 0.0000116 | −0.0099 | 20 | ±1.1 | 0.016228 | 0.0000577 | 0.015531 | 0.0000546 | −4.29 | 0.015647 | 0.0000516 | −3.58 | 0.016119 | 0.0000580 | −0.67 | 20 | ±3 | 0.354224 | 0.0000726 | 0.313612 | 0.0000769 | −11.5 | 0.329474 | 0.0000698 | −7.0 | 0.349056 | 0.0000732 | −1.46 | 20 | ±4 | 0.500954 | 0.0000639 | 0.457154 | 0.0000653 | −8.7 | 0.475548 | 0.0000651 | −5.1 | 0.495727 | 0.0000620 | −1.04 | 20 | ±5 | 0.601015 | 0.0000617 | 0.559904 | 0.0000661 | −6.8 | 0.577809 | 0.0000665 | −3.86 | 0.596262 | 0.0000581 | −0.79 | 20 | ±7 | 0.721004 | 0.0000628 | 0.687842 | 0.0000622 | −4.6 | 0.702741 | 0.0000577 | −2.53 | 0.717289 | 0.0000637 | −0.52 | 20 | ±10 | 0.810844 | 0.0000448 | 0.786525 | 0.0000468 | −3.0 | 0.797652 | 0.0000469 | −1.63 | 0.808171 | 0.0000433 | −0.330 | 20 | ±15 | 0.878244 | 0.0000370 | 0.861918 | 0.0000398 | −1.86 | 0.869456 | 0.0000419 | −1.00 | 0.876461 | 0.0000382 | −0.203 | 20 | ±20 | 0.910617 | 0.0000332 | 0.898443 | 0.0000353 | −1.34 | 0.904086 | 0.0000333 | −0.72 | 0.909299 | 0.0000325 | −0.145 | 20 | ±30 | 0.941779 | 0.0000246 | 0.933781 | 0.0000270 | −0.85 | 0.937486 | 0.0000248 | −0.46 | 0.940911 | 0.0000255 | −0.092 | 20 | ±40 | 0.956868 | 0.0000229 | 0.950924 | 0.0000258 | −0.62 | 0.953687 | 0.0000219 | −0.332 | 0.956225 | 0.0000226 | −0.067 | 20 | ±60 | 0.971612 | 0.0000209 | 0.967685 | 0.0000218 | −0.404 | 0.969514 | 0.0000209 | −0.216 | 0.971191 | 0.0000210 | −0.0434 | 20 | ±80 | 0.978856 | 0.0000170 | 0.975928 | 0.0000185 | −0.299 | 0.977289 | 0.0000179 | −0.160 | 0.978541 | 0.0000170 | −0.0322 | 20 | ±140 | 0.988015 | 0.0000127 | 0.986356 | 0.0000127 | −0.168 | 0.987127 | 0.0000139 | −0.090 | 0.987837 | 0.0000128 | −0.0181 | 20 | ±200 | 0.991646 | 0.0000107 | 0.990487 | 0.0000113 | −0.117 | 0.991025 | 0.0000109 | −0.063 | 0.991520 | 0.0000113 | −0.0126 |
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