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 | N2 | N8 | N14 | N15 | | | | | | | | | | | |
| 5 | ±0.1 | 0.020034 | 0.0000163 | 0.019986 | 0.0000163 | −0.243 | 0.020031 | 0.0000165 | −0.0191 | 0.020053 | 0.0000167 | 0.092 | 5 | ±2 | 0.028537 | 0.0000125 | 0.028456 | 0.0000128 | −0.283 | 0.028531 | 0.0000124 | −0.0224 | 0.028563 | 0.0000127 | 0.089 | 5 | ±3 | 0.038514 | 0.0000148 | 0.038368 | 0.0000142 | −0.380 | 0.038503 | 0.0000146 | −0.0291 | 0.038541 | 0.0000146 | 0.070 | 5 | ±4 | 0.065920 | 0.0000155 | 0.065606 | 0.0000154 | −0.48 | 0.065900 | 0.0000155 | −0.0309 | 0.065955 | 0.0000157 | 0.054 | 5 | ±5 | 0.108136 | 0.0000205 | 0.107509 | 0.0000194 | −0.58 | 0.108099 | 0.0000200 | −0.0351 | 0.108177 | 0.0000208 | 0.0379 | 5 | ±6 | 0.165365 | 0.0000222 | 0.164221 | 0.0000231 | −0.69 | 0.165296 | 0.0000226 | −0.0422 | 0.165398 | 0.0000225 | 0.0194 | 5 | ±7 | 0.235340 | 0.0000240 | 0.233441 | 0.0000257 | −0.81 | 0.235234 | 0.0000250 | −0.045 | 0.235339 | 0.0000237 | −0.0007 | 5 | ±8 | 0.314664 | 0.0000253 | 0.311798 | 0.0000255 | −0.91 | 0.314504 | 0.0000249 | −0.051 | 0.314599 | 0.0000247 | −0.0206 | 5 | ±10 | 0.485878 | 0.0000280 | 0.480664 | 0.0000282 | −1.07 | 0.485593 | 0.0000292 | −0.059 | 0.485606 | 0.0000287 | −0.056 | 5 | ±10.17 | 0.50044 | 0.0000279 | 0.49503 | 0.0000287 | −1.08 | 0.50014 | 0.0000280 | −0.059 | 0.50015 | 0.0000280 | −0.058 | 5 | ±12 | 0.648897 | 0.0000258 | 0.641532 | 0.0000275 | −1.14 | 0.648500 | 0.0000257 | −0.061 | 0.648371 | 0.0000258 | −0.081 | 5 | ±15 | 0.834385 | 0.0000194 | 0.825947 | 0.0000215 | −1.01 | 0.833930 | 0.0000196 | −0.055 | 0.833633 | 0.0000196 | −0.090 | 5 | ±18 | 0.937041 | 0.0000126 | 0.930434 | 0.0000148 | −0.71 | 0.936679 | 0.0000127 | −0.0387 | 0.936382 | 0.0000134 | −0.070 | 5 | ±20 | 0.970678 | 0.0000082 | 0.966003 | 0.0000089 | −0.48 | 0.970423 | 0.0000084 | −0.0263 | 0.970185 | 0.0000081 | −0.051 | 10 | ±0.1 | 0.020121 | 0.0000216 | 0.020050 | 0.0000181 | −0.352 | 0.020131 | 0.0000218 | 0.052 | 0.020087 | 0.0000211 | −0.169 | 10 | ±1 | 0.029615 | 0.0000189 | 0.029124 | 0.0000180 | −1.66 | 0.029522 | 0.0000185 | −0.316 | 0.029546 | 0.0000193 | −0.233 | 10 | ±2 | 0.056182 | 0.0000169 | 0.053967 | 0.0000177 | −3.94 | 0.055608 | 0.0000161 | −1.02 | 0.056005 | 0.0000176 | −0.314 | 10 | ±3 | 0.121026 | 0.0000199 | 0.113283 | 0.0000192 | −6.4 | 0.119196 | 0.0000197 | −1.51 | 0.120238 | 0.0000202 | −0.65 | 10 | ±4 | 0.263047 | 0.0000241 | 0.243089 | 0.0000242 | −7.6 | 0.258321 | 0.0000266 | −1.80 | 0.261151 | 0.0000253 | −0.72 | 10 | ±5 | 0.476111 | 0.0000273 | 0.438916 | 0.0000257 | −7.8 | 0.467477 | 0.0000263 | −1.81 | 0.472803 | 0.0000266 | −0.69 | 10 | ±5.105 | 0.500474 | 0.0000285 | 0.461588 | 0.0000261 | −7.8 | 0.491473 | 0.0000273 | −1.80 | 0.497048 | 0.0000272 | −0.68 | 10 | ±6 | 0.699060 | 0.0000248 | 0.650532 | 0.0000258 | −6.9 | 0.688201 | 0.0000260 | −1.55 | 0.695079 | 0.0000249 | −0.57 | 10 | ±7 | 0.863440 | 0.0000182 | 0.818415 | 0.0000226 | −5.2 | 0.853942 | 0.0000174 | −1.10 | 0.860101 | 0.0000185 | −0.387 | 10 | ±8 | 0.951512 | 0.0000122 | 0.920845 | 0.0000144 | −3.22 | 0.945578 | 0.0000118 | −0.62 | 0.949505 | 0.0000130 | −0.211 | 10 | ±9 | 0.986569 | 0.0000074 | 0.970766 | 0.0000092 | −1.60 | 0.983861 | 0.0000075 | −0.274 | 0.985700 | 0.0000074 | −0.088 | 10 | ±10 | 0.997100 | 0.0000031 | 0.990752 | 0.0000056 | −0.64 | 0.996179 | 0.0000036 | −0.092 | 0.996820 | 0.0000030 | −0.0280 | 10 | ±11 | 0.999511 | 0.0000013 | 0.997471 | 0.0000029 | −0.204 | 0.999274 | 0.0000016 | −0.0237 | 0.999444 | 0.0000014 | −0.0067 | 15 | ±0.1 | 0.020212 | 0.0000214 | 0.020157 | 0.0000214 | −0.272 | 0.020236 | 0.0000217 | 0.117 | 0.020233 | 0.0000212 | 0.106 | 15 | ±0.5 | 0.024306 | 0.0000241 | 0.023963 | 0.0000203 | −1.41 | 0.024143 | 0.0000259 | −0.67 | 0.024284 | 0.0000250 | −0.091 | 15 | ±1 | 0.033660 | 0.0000236 | 0.032450 | 0.0000192 | −3.60 | 0.032982 | 0.0000251 | −2.01 | 0.033545 | 0.0000245 | −0.341 | 15 | 2.5 | 0.113807 | 0.0000218 | 0.102067 | 0.0000195 | −10.3 | 0.107680 | 0.0000210 | −5.4 | 0.113112 | 0.0000226 | −0.61 | 15 | ±3 | 0.172328 | 0.0000245 | 0.151567 | 0.0000236 | −12.0 | 0.161414 | 0.0000251 | −6.3 | 0.169650 | 0.0000236 | −1.55 | 15 | ±4 | 0.378353 | 0.0000288 | 0.330283 | 0.0000270 | −12.7 | 0.355148 | 0.0000332 | −6.1 | 0.372717 | 0.0000285 | −1.49 | 15 | ±4.46 | 0.501373 | 0.0000279 | 0.439974 | 0.0000313 | −12.2 | 0.473072 | 0.0000321 | −5.6 | 0.494564 | 0.0000297 | −1.36 | 15 | ±5 | 0.648423 | 0.0000269 | 0.576399 | 0.0000266 | −11.1 | 0.617166 | 0.0000290 | −4.8 | 0.641028 | 0.0000287 | −1.14 | 15 | ±6 | 0.862557 | 0.0000198 | 0.795806 | 0.0000211 | −7.74 | 0.837265 | 0.0000196 | −2.93 | 0.856850 | 0.0000201 | −0.66 | 15 | ±7 | 0.964243 | 0.0000093 | 0.925221 | 0.0000144 | −4.05 | 0.951910 | 0.0000112 | −1.28 | 0.961648 | 0.0000098 | −0.269 | 15 | ±8 | 0.993893 | 0.0000043 | 0.978816 | 0.0000094 | −1.52 | 0.990178 | 0.0000054 | −0.374 | 0.993181 | 0.0000042 | −0.072 | 15 | ±9 | 0.999318 | 0.0000015 | 0.995252 | 0.0000039 | −0.407 | 0.998607 | 0.0000019 | −0.071 | 0.999198 | 0.0000017 | −0.0120 | 15 | ±10 | 0.999951 | 0.0000004 | 0.999142 | 0.0000017 | −0.081 | 0.999862 | 0.0000007 | −0.0089 | 0.999938 | 0.0000005 | −0.00127 | 20 | ±0.1 | 0.020222 | 0.0000253 | 0.020213 | 0.0000242 | −0.046 | 0.020175 | 0.0000238 | −0.237 | 0.020248 | 0.0000270 | 0.126 | 20 | ±0.5 | 0.025049 | 0.0000251 | 0.024566 | 0.0000260 | −1.93 | 0.024578 | 0.0000267 | −1.88 | 0.024992 | 0.0000255 | −0.227 | 20 | ±1 | 0.036024 | 0.0000249 | 0.034154 | 0.0000266 | −5.2 | 0.034454 | 0.0000228 | −4.36 | 0.035781 | 0.0000235 | −0.67 | 20 | 2.5 | 0.132180 | 0.0000257 | 0.113955 | 0.0000238 | −13.8 | 0.119739 | 0.0000238 | −9.4 | 0.130861 | 0.0000269 | −1.00 | 20 | ±3 | 0.201578 | 0.0000265 | 0.170323 | 0.0000230 | −15.5 | 0.179506 | 0.0000248 | −10.9 | 0.196833 | 0.0000283 | −2.35 | 20 | 4 | 0.438591 | 0.0000283 | 0.374722 | 0.0000286 | −14.6 | 0.395957 | 0.0000273 | −9.7 | 0.429526 | 0.0000288 | −2.07 | 20 | ±4.21 | 0.499301 | 0.0000272 | 0.424653 | 0.0000266 | −15.0 | 0.453296 | 0.0000268 | −9.2 | 0.489576 | 0.0000279 | −1.95 | 20 | ±5 | 0.723374 | 0.0000244 | 0.634711 | 0.0000265 | −12.3 | 0.674325 | 0.0000297 | −6.8 | 0.713341 | 0.0000245 | −1.39 | 20 | ±6 | 0.914465 | 0.0000163 | 0.847119 | 0.0000198 | −7.4 | 0.883167 | 0.0000185 | −3.42 | 0.908494 | 0.0000175 | −0.65 | 20 | ±7 | 0.984191 | 0.0000070 | 0.953952 | 0.0000127 | −3.07 | 0.973158 | 0.0000087 | −1.12 | 0.982301 | 0.0000079 | −0.192 | 20 | ±8 | 0.998284 | 0.0000021 | 0.989758 | 0.0000053 | −0.85 | 0.996079 | 0.0000036 | −0.221 | 0.997959 | 0.0000025 | −0.0325 | 20 | ±9 | 0.999891 | 0.0000006 | 0.998267 | 0.0000024 | −0.162 | 0.999634 | 0.0000011 | −0.0258 | 0.999861 | 0.0000007 | −0.00309 | 20 | ±10 | 0.999996 | 0.0000001 | 0.999771 | 0.0000010 | −0.0225 | 0.999978 | 0.0000002 | −0.00180 | 0.999994 | 0.0000001 | −0.00017 |
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