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Table 5
Strateva and Strateva modified parameters (see Eq. (18)) for all dispersion parameters analyzed in the present work for BA.
Strateva | Strateva modified | |||||||||
c 0 | c 1 | c 2 | c 0 | c 1 | c 2 | c 3 | G( χ2 ) | G( R ) | ||
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Z | 2.447 × 10-2 | 3.243 × 10-9 | − 1.459 × 10-17 | 2.175 × 10-2 | 6.603 × 10-9 | − 4.836 × 10-11 | 4.392 × 1012 | 83.0% | 0.8% | |
Y | 1.633 × 10-2 | 4.115 × 10-9 | − 2.258 × 10-17 | 1.284 × 10-2 | 8.479 × 10-9 | − 6.555 × 10-11 | 1.323 × 1013 | 74.6% | 1.1% | |
E D σ μ | J | 1.978 × 10-2 | 8.899 × 10-9 | − 1.154 × 10-16 | 1.300 × 10-2 | 1.962 × 10-8 | − 1.913 × 10-10 | 7.196 × 1012 | 88.5% | 1.3% |
H | 2.052 × 10-2 | 1.400 × 10-8 | − 2.746 × 10-16 | 9.926 × 10-3 | 3.090 × 10-8 | − 3.287 × 10-10 | 2.207 × 1013 | 95.4% | 1.1% | |
K | 2.446 × 10-2 | 2.326 × 10-8 | − 8.375 × 10-16 | 1.160 × 10-2 | 5.403 × 10-8 | − 6.763 × 10-10 | 4.591 × 1012 | 95.8% | 1.2% | |
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Z | 2.447 × 10-2 | 3.243 × 10-9 | − 1.459 × 10-17 | 2.175 × 10-2 | 6.603 × 10-9 | − 4.836 × 10-11 | 4.392 × 1012 | 83.0% | 0.8% | |
Y | 1.632 × 10-2 | 4.115 × 10-9 | − 2.258 × 10-17 | 1.284 × 10-2 | 8.479 × 10-9 | − 6.555 × 10-11 | 1.323 × 1013 | 74.6% | 1.1% | |
D σ μ | J | 1.978 × 10-2 | 8.899 × 10-9 | − 1.154 × 10-16 | 1.300 × 10-2 | 1.962 × 10-8 | − 1.913 × 10-10 | 7.196 × 1012 | 88.5% | 1.3% |
H | 2.052 × 10-2 | 1.400 × 10-8 | − 2.746 × 10-16 | 9.926 × 10-3 | 3.090 × 10-8 | − 3.287 × 10-10 | 2.207 × 1013 | 95.4% | 1.1% | |
K | 2.446 × 10-2 | 2.326 × 10-8 | − 8.375 × 10-16 | 1.160 × 10-2 | 5.403 × 10-8 | − 6.763 × 10-10 | 4.591 × 1012 | 95.8% | 1.2% | |
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Z | 2.469 × 10-2 | 3.258 × 10-9 | − 1.460 × 10-17 | 2.197 × 10-2 | 6.620 × 10-9 | − 4.841 × 10-11 | 4.445 × 1012 | 83.5% | 0.7% | |
Y | 1.643 × 10-2 | 4.139 × 10-9 | − 2.268 × 10-17 | 1.289 × 10-2 | 8.522 × 10-9 | − 6.582 × 10-11 | 1.388 × 1013 | 76.0% | 1.0% | |
E D σ m | J | 1.993 × 10-2 | 8.913 × 10-9 | − 1.145 × 10-16 | 1.310 × 10-2 | 1.959 × 10-8 | − 1.904 × 10-10 | 7.296 × 1012 | 88.7% | 1.2% |
H | 2.092 × 10-2 | 1.393 × 10-8 | − 2.677 × 10-16 | 1.004 × 10-2 | 3.075 × 10-8 | − 3.252 × 10-10 | 2.286 × 1013 | 95.4% | 1.1% | |
K | 2.482 × 10-2 | 2.320 × 10-8 | − 8.237 × 10-16 | 1.173 × 10-2 | 5.393 × 10-8 | − 6.725 × 10-10 | 4.694 × 1012 | 95.8% | 1.2% | |
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Z | 2.470 × 10-2 | 3.256 × 10-9 | − 1.456 × 10-17 | 2.198 × 10-2 | 6.612 × 10-9 | − 4.830 × 10-11 | 4.682 × 1012 | 83.3% | 0.7% | |
Y | 1.642 × 10-2 | 4.138 × 10-9 | − 2.266 × 10-17 | 1.291 × 10-2 | 8.514 × 10-9 | − 6.573 × 10-11 | 1.365 × 1013 | 75.9% | 1.0% | |
D σ m | J | 1.994 × 10-2 | 8.913 × 10-9 | − 1.144 × 10-16 | 1.311 × 10-2 | 1.959 × 10-8 | − 1.902 × 10-10 | 7.306 × 1012 | 88.8% | 1.2% |
H | 2.089 × 10-2 | 1.395 × 10-8 | − 2.681 × 10-16 | 1.004 × 10-2 | 3.076 × 10-8 | − 3.251 × 10-10 | 2.280 × 1013 | 95.5% | 1.1% | |
K | 2.483 × 10-2 | 2.320 × 10-8 | − 8.222 × 10-16 | 1.173 × 10-2 | 5.390 × 10-8 | − 6.718 × 10-10 | 4.700 × 1012 | 95.9% | 1.2% | |
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Z | 1.638 × 10-2 | 2.373 × 10-9 | − 1.007 × 10-17 | 1.405 × 10-2 | 4.718 × 10-9 | − 3.357 × 10-11 | 1.200 × 1013 | 62.6% | 0.6% | |
Y | 1.180 × 10-2 | 2.983 × 10-9 | − 1.543 × 10-17 | 9.106 × 10-3 | 5.992 × 10-9 | − 4.501 × 10-11 | 1.331 × 1013 | 45.3% | 0.8% | |
E D μ | J | 1.312 × 10-2 | 6.674 × 10-9 | − 8.432 × 10-17 | 8.983 × 10-3 | 1.409 × 10-8 | − 1.346 × 10-10 | 4.139 × 1012 | 70.1% | 1.0% |
H | 1.408 × 10-2 | 1.056 × 10-8 | − 1.990 × 10-16 | 6.945 × 10-3 | 2.233 × 10-8 | − 2.313 × 10-10 | 1.484 × 1013 | 93.4% | 1.1% | |
K | 1.532 × 10-2 | 1.832 × 10-8 | − 6.596 × 10-16 | 7.556 × 10-3 | 3.981 × 10-8 | − 4.888 × 10-10 | 2.688 × 1012 | 91.9% | 1.0% | |
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Z | 1.637 × 10-2 | 2.373 × 10-9 | − 1.008 × 10-17 | 1.405 × 10-2 | 4.719 × 10-9 | − 3.359 × 10-11 | 1.200 × 1013 | 62.5% | 0.6% | |
Y | 1.179 × 10-2 | 2.983 × 10-9 | − 1.543 × 10-17 | 9.105 × 10-3 | 5.992 × 10-9 | − 4.501 × 10-11 | 1.330 × 1013 | 45.3% | 0.8% | |
D μ | J | 1.312 × 10-2 | 6.675 × 10-9 | − 8.438 × 10-17 | 8.979 × 10-3 | 1.409 × 10-8 | − 1.347 × 10-10 | 4.134 × 1012 | 69.9% | 1.0% |
H | 1.407 × 10-2 | 1.056 × 10-8 | − 1.991 × 10-16 | 6.940 × 10-3 | 2.234 × 10-8 | − 2.314 × 10-10 | 1.484 × 1013 | 93.4% | 1.1% | |
K | 1.530 × 10-2 | 1.832 × 10-8 | − 6.604 × 10-16 | 7.555 × 10-3 | 3.982 × 10-8 | − 4.889 × 10-10 | 2.680 × 1012 | 91.9% | 1.0% | |
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Z | 1.605 × 10-2 | 2.365 × 10-9 | − 1.011 × 10-17 | 1.374 × 10-2 | 4.713 × 10-9 | − 3.365 × 10-11 | 1.170 × 1013 | 58.0% | 0.6% | |
Y | 1.169 × 10-2 | 2.961 × 10-9 | − 1.536 × 10-17 | 9.025 × 10-3 | 5.955 × 10-9 | − 4.480 × 10-11 | 1.301 × 1013 | 43.0% | 0.8% | |
E D m | J | 1.288 × 10-2 | 6.658 × 10-9 | − 8.472 × 10-17 | 8.894 × 10-3 | 1.405 × 10-8 | − 1.346 × 10-10 | 3.878 × 1012 | 65.2% | 1.1% |
H | 1.367 × 10-2 | 1.060 × 10-8 | − 2.036 × 10-16 | 6.831 × 10-3 | 2.237 × 10-8 | − 2.330 × 10-10 | 1.405 × 1013 | 92.2% | 1.0% | |
K | 1.474 × 10-2 | 1.847 × 10-8 | − 6.796 × 10-16 | 7.455 × 10-3 | 3.987 × 10-8 | − 4.917 × 10-10 | 2.480 × 1012 | 89.8% | 0.8% | |
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Z | 1.605 × 10-2 | 2.365 × 10-9 | − 1.012 × 10-17 | 1.373 × 10-2 | 4.715 × 10-9 | − 3.368 × 10-11 | 1.171 × 1013 | 58.0% | 0.6% | |
Y | 1.168 × 10-2 | 2.962 × 10-9 | − 1.540 × 10-17 | 9.017 × 10-3 | 5.961 × 10-9 | − 4.488 × 10-11 | 1.297 × 1013 | 42.6% | 0.9% | |
D m | J | 1.288 × 10-2 | 6.657 × 10-9 | − 8.474 × 10-17 | 8.894 × 10-3 | 1.405 × 10-8 | − 1.346 × 10-10 | 3.871 × 1012 | 65.2% | 1.1% |
H | 1.367 × 10-2 | 1.060 × 10-8 | − 2.037 × 10-16 | 6.828 × 10-3 | 2.237 × 10-8 | − 2.331 × 10-10 | 1.405 × 1013 | 92.2% | 1.0% | |
K | 1.473 × 10-2 | 1.848 × 10-8 | − 6.807 × 10-16 | 7.448 × 10-3 | 3.990 × 10-8 | − 4.923 × 10-10 | 2.479 × 1012 | 89.8% | 0.8% | |
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Z | 2.139 × 10-2 | 3.558 × 10-9 | − 1.384 × 10-17 | 1.824 × 10-2 | 6.532 × 10-9 | − 4.357 × 10-11 | 2.727 × 1013 | − 54.8% | 0.07% | |
Y | 1.695 × 10-2 | 4.498 × 10-9 | − 2.223 × 10-17 | 1.327 × 10-2 | 8.563 × 10-9 | − 6.198 × 10-11 | 2.348 × 1013 | − 65.1% | 0.012% | |
EIQR | J | 1.787 × 10-2 | 9.982 × 10-9 | − 1.162 × 10-16 | 1.311 × 10-2 | 1.960 × 10-8 | − 1.781 × 10-10 | 4.595 × 1012 | − 4.1% | 0.005% |
H | 1.966 × 10-2 | 1.628 × 10-8 | − 2.867 × 10-16 | 9.761 × 10-3 | 3.263 × 10-8 | − 3.243 × 10-10 | 2.095 × 1013 | 88.1% | 0.5% | |
K | 1.935 × 10-2 | 2.916 × 10-8 | − 9.982 × 10-16 | 9.832 × 10-3 | 5.897 × 10-8 | − 6.958 × 10-10 | 3.215 × 1012 | 81.5% | 0.3% | |
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Z | 2.128 × 10-2 | 3.565 × 10-9 | − 1.407 × 10-17 | 1.804 × 10-2 | 6.589 × 10-9 | − 4.429 × 10-11 | 2.833 × 1013 | − 57.0% | 0.05% | |
Y | 1.690 × 10-2 | 4.502 × 10-9 | − 2.252 × 10-17 | 1.322 × 10-2 | 8.608 × 10-9 | − 6.266 × 10-11 | 2.309 × 1013 | − 73.6% | 0.005% | |
IQR | J | 1.774 × 10-2 | 1.002 × 10-8 | − 1.187 × 10-16 | 1.297 × 10-2 | 1.979 × 10-8 | − 1.812 × 10-10 | 4.555 × 1012 | − 12.2% | 0.02% |
H | 1.923 × 10-2 | 1.635 × 10-8 | − 2.917 × 10-16 | 9.812 × 10-3 | 3.263 × 10-8 | − 3.253 × 10-10 | 1.964 × 1013 | 85.8% | 0.4% | |
K | 1.923 × 10-2 | 2.931 × 10-8 | − 1.024 × 10-15 | 9.769 × 10-3 | 5.952 × 10-8 | − 7.076 × 10-10 | 3.182 × 1012 | 80.8% | 0.18% | |
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Z | 3.206 × 10-2 | 4.802 × 10-9 | − 2.046 × 10-17 | 2.776 × 10-2 | 9.392 × 10-9 | − 6.648 × 10-11 | 2.318 × 1013 | 60.0% | 0.7% | |
Y | 2.339 × 10-2 | 5.998 × 10-9 | − 3.106 × 10-17 | 1.818 × 10-2 | 1.193 × 10-8 | − 8.927 × 10-11 | 2.728 × 1013 | 43.6% | 0.8% | |
ED | J | 2.603 × 10-2 | 1.334 × 10-8 | − 1.669 × 10-16 | 1.799 × 10-2 | 2.797 × 10-8 | − 2.660 × 10-10 | 7.920 × 1012 | 67.9% | 1.0% |
H | 2.754 × 10-2 | 2.128 × 10-8 | − 4.023 × 10-16 | 1.386 × 10-2 | 4.463 × 10-8 | − 4.617 × 10-10 | 2.814 × 1013 | 92.6% | 1.0% | |
K | 2.986 × 10-2 | 3.690 × 10-8 | − 1.325 × 10-15 | 1.522 × 10-2 | 7.915 × 10-8 | − 9.672 × 10-10 | 5.005 × 1012 | 90.4% | 0.9% | |
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Z | 3.336 × 10-2 | 4.571 × 10-9 | − 2.053 × 10-17 | 2.947 × 10-2 | 9.286 × 10-9 | − 6.791 × 10-11 | 8.570 × 1012 | 85.0% | 0.9% | |
Y | 2.269 × 10-2 | 5.760 × 10-9 | − 3.139 × 10-17 | 1.781 × 10-2 | 1.182 × 10-8 | − 9.105 × 10-11 | 1.913 × 1013 | 71.8% | 1.1% | |
E D (1) | J | 2.702 × 10-2 | 1.255 × 10-8 | − 1.625 × 10-16 | 1.797 × 10-2 | 2.746 × 10-8 | − 2.673 × 10-10 | 9.325 × 1012 | 86.6% | 1.4% |
H | 2.836 × 10-2 | 1.972 × 10-8 | − 3.861 × 10-16 | 1.358 × 10-2 | 4.338 × 10-8 | − 4.606 × 10-10 | 3.078 × 1013 | 94.9% | 1.2% | |
K | 3.235 × 10-2 | 3.338 × 10-8 | − 1.217 × 10-15 | 1.600 × 10-2 | 7.568 × 10-8 | − 9.447 × 10-10 | 5.720 × 1012 | 94.2% | 1.1% | |
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Z | 2.699 × 10-2 | 3.624 × 10-9 | − 1.572 × 10-17 | 2.388 × 10-2 | 7.222 × 10-9 | − 5.186 × 10-11 | 1.008 × 1013 | 85.9% | 0.6% | |
Y | 1.836 × 10-2 | 4.583 × 10-9 | − 2.423 × 10-17 | 1.445 × 10-2 | 9.258 × 10-9 | − 7.021 × 10-11 | 1.734 × 1013 | 69.6% | 0.9% | |
E D (2) | J | 2.188 × 10-2 | 9.945 × 10-9 | − 1.245 × 10-16 | 1.449 × 10-2 | 2.145 × 10-8 | − 2.056 × 10-10 | 8.007 × 1012 | 87.3% | 1.1% |
H | 2.351 × 10-2 | 1.553 × 10-8 | − 2.871 × 10-16 | 1.103 × 10-2 | 3.393 × 10-8 | − 3.533 × 10-10 | 2.670 × 1013 | 95.6% | 1.1% | |
K | 2.698 × 10-2 | 2.620 × 10-8 | − 9.019 × 10-16 | 1.268 × 10-2 | 5.969 × 10-8 | − 7.336 × 10-10 | 5.140 × 1012 | 94.5% | 1.3% |
Notes. The metric G to measure upgrade (G> 0) or downgrade (G< 0) for χ2 and dispersion of the residuals (R) is also listed in each line.
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