Distribución $F$ de Fischer-Snedecor
Abscisas $F_{m,n,\alpha}$ que deixan á súa dereita un área $\alpha$
nunha $F$ de Fisher-Snedecor con $(m,n)$ graos de liberdade
$\displaystyle \int_{F_{m,n,\alpha}}^{\infty} c_{m,n}\,x^{\frac{m}{2}-1}(n+mx)^{-\frac{m+n}{2}}\, dx=\alpha$
$\alpha=0.025$
1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 12 | 15 | 20 | 24 | 30 | 50 | 100 | $\infty$ | |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1 | 647.789 | 799.500 | 864.163 | 899.583 | 921.848 | 937.111 | 948.217 | 956.656 | 963.285 | 968.627 | 976.708 | 984.867 | 993.103 | 997.249 | 1001.414 | 1008.117 | 1013.175 | 1018.258 |
2 | 38.506 | 39.000 | 39.165 | 39.248 | 39.298 | 39.331 | 39.355 | 39.373 | 39.387 | 39.398 | 39.415 | 39.431 | 39.448 | 39.456 | 39.465 | 39.478 | 39.488 | 39.498 |
3 | 17.443 | 16.044 | 15.439 | 15.101 | 14.885 | 14.735 | 14.624 | 14.540 | 14.473 | 14.419 | 14.337 | 14.253 | 14.167 | 14.124 | 14.081 | 14.010 | 13.956 | 13.902 |
4 | 12.218 | 10.649 | 9.979 | 9.605 | 9.364 | 9.197 | 9.074 | 8.980 | 8.905 | 8.844 | 8.751 | 8.657 | 8.560 | 8.511 | 8.461 | 8.381 | 8.319 | 8.257 |
5 | 10.007 | 8.434 | 7.764 | 7.388 | 7.146 | 6.978 | 6.853 | 6.757 | 6.681 | 6.619 | 6.525 | 6.428 | 6.329 | 6.278 | 6.227 | 6.144 | 6.080 | 6.015 |
6 | 8.813 | 7.260 | 6.599 | 6.227 | 5.988 | 5.820 | 5.695 | 5.600 | 5.523 | 5.461 | 5.366 | 5.269 | 5.168 | 5.117 | 5.065 | 4.980 | 4.915 | 4.849 |
7 | 8.073 | 6.542 | 5.890 | 5.523 | 5.285 | 5.119 | 4.995 | 4.899 | 4.823 | 4.761 | 4.666 | 4.568 | 4.467 | 4.415 | 4.362 | 4.276 | 4.210 | 4.142 |
8 | 7.571 | 6.059 | 5.416 | 5.053 | 4.817 | 4.652 | 4.529 | 4.433 | 4.357 | 4.295 | 4.200 | 4.101 | 3.999 | 3.947 | 3.894 | 3.807 | 3.739 | 3.670 |
9 | 7.209 | 5.715 | 5.078 | 4.718 | 4.484 | 4.320 | 4.197 | 4.102 | 4.026 | 3.964 | 3.868 | 3.769 | 3.667 | 3.614 | 3.560 | 3.472 | 3.403 | 3.333 |
10 | 6.937 | 5.456 | 4.826 | 4.468 | 4.236 | 4.072 | 3.950 | 3.855 | 3.779 | 3.717 | 3.621 | 3.522 | 3.419 | 3.365 | 3.311 | 3.221 | 3.152 | 3.080 |
11 | 6.724 | 5.256 | 4.630 | 4.275 | 4.044 | 3.881 | 3.759 | 3.664 | 3.588 | 3.526 | 3.430 | 3.330 | 3.226 | 3.173 | 3.118 | 3.027 | 2.956 | 2.883 |
12 | 6.554 | 5.096 | 4.474 | 4.121 | 3.891 | 3.728 | 3.607 | 3.512 | 3.436 | 3.374 | 3.277 | 3.177 | 3.073 | 3.019 | 2.963 | 2.871 | 2.800 | 2.725 |
13 | 6.414 | 4.965 | 4.347 | 3.996 | 3.767 | 3.604 | 3.483 | 3.388 | 3.312 | 3.250 | 3.153 | 3.053 | 2.948 | 2.893 | 2.837 | 2.744 | 2.671 | 2.595 |
14 | 6.298 | 4.857 | 4.242 | 3.892 | 3.663 | 3.501 | 3.380 | 3.285 | 3.209 | 3.147 | 3.050 | 2.949 | 2.844 | 2.789 | 2.732 | 2.638 | 2.565 | 2.487 |
15 | 6.200 | 4.765 | 4.153 | 3.804 | 3.576 | 3.415 | 3.293 | 3.199 | 3.123 | 3.060 | 2.963 | 2.862 | 2.756 | 2.701 | 2.644 | 2.549 | 2.474 | 2.395 |
16 | 6.115 | 4.687 | 4.077 | 3.729 | 3.502 | 3.341 | 3.219 | 3.125 | 3.049 | 2.986 | 2.889 | 2.788 | 2.681 | 2.625 | 2.568 | 2.472 | 2.396 | 2.316 |
17 | 6.042 | 4.619 | 4.011 | 3.665 | 3.438 | 3.277 | 3.156 | 3.061 | 2.985 | 2.922 | 2.825 | 2.723 | 2.616 | 2.560 | 2.502 | 2.405 | 2.329 | 2.247 |
18 | 5.978 | 4.560 | 3.954 | 3.608 | 3.382 | 3.221 | 3.100 | 3.005 | 2.929 | 2.866 | 2.769 | 2.667 | 2.559 | 2.503 | 2.445 | 2.347 | 2.269 | 2.187 |
19 | 5.922 | 4.508 | 3.903 | 3.559 | 3.333 | 3.172 | 3.051 | 2.956 | 2.880 | 2.817 | 2.720 | 2.617 | 2.509 | 2.452 | 2.394 | 2.295 | 2.217 | 2.133 |
20 | 5.871 | 4.461 | 3.859 | 3.515 | 3.289 | 3.128 | 3.007 | 2.913 | 2.837 | 2.774 | 2.676 | 2.573 | 2.464 | 2.408 | 2.349 | 2.249 | 2.170 | 2.085 |
21 | 5.827 | 4.420 | 3.819 | 3.475 | 3.250 | 3.090 | 2.969 | 2.874 | 2.798 | 2.735 | 2.637 | 2.534 | 2.425 | 2.368 | 2.308 | 2.208 | 2.128 | 2.042 |
22 | 5.786 | 4.383 | 3.783 | 3.440 | 3.215 | 3.055 | 2.934 | 2.839 | 2.763 | 2.700 | 2.602 | 2.498 | 2.389 | 2.331 | 2.272 | 2.171 | 2.090 | 2.003 |
23 | 5.750 | 4.349 | 3.750 | 3.408 | 3.183 | 3.023 | 2.902 | 2.808 | 2.731 | 2.668 | 2.570 | 2.466 | 2.357 | 2.299 | 2.239 | 2.137 | 2.056 | 1.968 |
24 | 5.717 | 4.319 | 3.721 | 3.379 | 3.155 | 2.995 | 2.874 | 2.779 | 2.703 | 2.640 | 2.541 | 2.437 | 2.327 | 2.269 | 2.209 | 2.107 | 2.024 | 1.935 |
25 | 5.686 | 4.291 | 3.694 | 3.353 | 3.129 | 2.969 | 2.848 | 2.753 | 2.677 | 2.613 | 2.515 | 2.411 | 2.300 | 2.242 | 2.182 | 2.079 | 1.996 | 1.906 |
26 | 5.659 | 4.265 | 3.670 | 3.329 | 3.105 | 2.945 | 2.824 | 2.729 | 2.653 | 2.590 | 2.491 | 2.387 | 2.276 | 2.217 | 2.157 | 2.053 | 1.969 | 1.878 |
27 | 5.633 | 4.242 | 3.647 | 3.307 | 3.083 | 2.923 | 2.802 | 2.707 | 2.631 | 2.568 | 2.469 | 2.364 | 2.253 | 2.195 | 2.133 | 2.029 | 1.945 | 1.853 |
28 | 5.610 | 4.221 | 3.626 | 3.286 | 3.063 | 2.903 | 2.782 | 2.687 | 2.611 | 2.547 | 2.448 | 2.344 | 2.232 | 2.174 | 2.112 | 2.007 | 1.922 | 1.829 |
29 | 5.588 | 4.201 | 3.607 | 3.267 | 3.044 | 2.884 | 2.763 | 2.669 | 2.592 | 2.529 | 2.430 | 2.325 | 2.213 | 2.154 | 2.092 | 1.987 | 1.901 | 1.807 |
30 | 5.568 | 4.182 | 3.589 | 3.250 | 3.026 | 2.867 | 2.746 | 2.651 | 2.575 | 2.511 | 2.412 | 2.307 | 2.195 | 2.136 | 2.074 | 1.968 | 1.882 | 1.787 |
40 | 5.424 | 4.051 | 3.463 | 3.126 | 2.904 | 2.744 | 2.624 | 2.529 | 2.452 | 2.388 | 2.288 | 2.182 | 2.068 | 2.007 | 1.943 | 1.832 | 1.741 | 1.637 |
60 | 5.286 | 3.925 | 3.343 | 3.008 | 2.786 | 2.627 | 2.507 | 2.412 | 2.334 | 2.270 | 2.169 | 2.061 | 1.944 | 1.882 | 1.815 | 1.699 | 1.599 | 1.482 |
100 | 5.179 | 3.828 | 3.250 | 2.917 | 2.696 | 2.537 | 2.417 | 2.321 | 2.244 | 2.179 | 2.077 | 1.968 | 1.849 | 1.784 | 1.715 | 1.592 | 1.483 | 1.347 |
200 | 5.100 | 3.758 | 3.182 | 2.850 | 2.630 | 2.472 | 2.351 | 2.256 | 2.178 | 2.113 | 2.010 | 1.900 | 1.778 | 1.712 | 1.640 | 1.511 | 1.393 | 1.229 |
$\infty$ | 5.024 | 3.689 | 3.116 | 2.786 | 2.567 | 2.408 | 2.288 | 2.192 | 2.114 | 2.048 | 1.945 | 1.833 | 1.708 | 1.640 | 1.566 | 1.428 | 1.296 | 1.000 |
1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 12 | 15 | 20 | 24 | 30 | 50 | 100 | $\infty$ |