| Degrees of Freedom: Denominator | α | Degrees of Freedom: Numerator |
| 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 |
| 1 | 0.05 | 161.448 | 199.500 | 215.706 | 224.583 | 230.162 | 233.986 | 236.769 | 238.883 | 240.543 | 241.882 | 242.984 | 243.906 | 244.690 | 245.364 | 245.950 | 246.464 |
| 0.01 | 4052.181 | 4999.501 | 5403.134 | 5624.578 | 5763.650 | 5858.986 | 5928.356 | 5981.070 | 6022.473 | 6055.847 | 6083.317 | 6106.321 | 6125.865 | 6142.674 | 6157.285 | 6170.101 |
| 2 | 0.05 | 18.513 | 19.000 | 19.164 | 19.247 | 19.297 | 19.330 | 19.353 | 19.371 | 19.385 | 19.396 | 19.405 | 19.413 | 19.419 | 19.424 | 19.429 | 19.433 |
| 0.01 | 98.503 | 99.000 | 99.165 | 99.249 | 99.299 | 99.333 | 99.356 | 99.374 | 99.388 | 99.399 | 99.408 | 99.416 | 99.422 | 99.428 | 99.433 | 99.437 |
| 0.001 | 998.500 | 999.001 | 998.999 | 999.247 | 999.300 | 999.333 | 999.357 | 999.375 | 999.389 | 999.400 | 999.409 | 999.417 | 999.423 | 999.429 | 999.433 | 999.438 |
| 3 | 0.05 | 10.128 | 9.552 | 9.277 | 9.117 | 9.014 | 8.941 | 8.887 | 8.845 | 8.812 | 8.786 | 8.763 | 8.745 | 8.729 | 8.715 | 8.703 | 8.692 |
| 0.01 | 34.116 | 30.817 | 29.456 | 28.710 | 28.237 | 27.911 | 27.672 | 27.489 | 27.345 | 27.229 | 27.133 | 27.052 | 26.983 | 26.924 | 26.872 | 26.827 |
| 0.001 | 167.029 | 148.500 | 141.094 | 137.100 | 134.580 | 132.848 | 131.583 | 130.619 | 129.860 | 129.247 | 128.741 | 128.317 | 127.955 | 127.644 | 127.374 | 127.136 |
| 4 | 0.05 | 7.709 | 6.944 | 6.591 | 6.388 | 6.256 | 6.163 | 6.094 | 6.041 | 5.999 | 5.964 | 5.936 | 5.912 | 5.891 | 5.873 | 5.858 | 5.844 |
| 0.01 | 21.198 | 18.000 | 16.694 | 15.977 | 15.522 | 15.207 | 14.976 | 14.799 | 14.659 | 14.546 | 14.452 | 14.374 | 14.307 | 14.249 | 14.198 | 14.154 |
| 0.001 | 74.137 | 61.246 | 56.173 | 53.436 | 51.712 | 50.525 | 49.658 | 48.996 | 48.475 | 48.053 | 47.704 | 47.412 | 47.163 | 46.948 | 46.761 | 46.597 |
| 5 | 0.05 | 6.608 | 5.786 | 5.410 | 5.192 | 5.050 | 4.950 | 4.876 | 4.818 | 4.773 | 4.735 | 4.704 | 4.678 | 4.655 | 4.636 | 4.619 | 4.604 |
| 0.01 | 16.258 | 13.274 | 12.060 | 11.392 | 10.967 | 10.672 | 10.456 | 10.289 | 10.158 | 10.051 | 9.963 | 9.888 | 9.825 | 9.770 | 9.722 | 9.680 |
| 0.001 | 47.181 | 37.122 | 33.201 | 31.085 | 29.752 | 28.834 | 28.163 | 27.650 | 27.245 | 26.917 | 26.646 | 26.418 | 26.224 | 26.057 | 25.911 | 25.783 |
| 6 | 0.05 | 5.987 | 5.143 | 4.757 | 4.534 | 4.387 | 4.284 | 4.207 | 4.147 | 4.099 | 4.060 | 4.028 | 4.000 | 3.976 | 3.956 | 3.938 | 3.922 |
| 0.01 | 13.745 | 10.925 | 9.780 | 9.148 | 8.746 | 8.466 | 8.260 | 8.102 | 7.976 | 7.874 | 7.790 | 7.718 | 7.658 | 7.605 | 7.559 | 7.519 |
| 0.001 | 35.507 | 27.000 | 23.702 | 21.924 | 20.803 | 20.030 | 19.464 | 19.030 | 18.688 | 18.411 | 18.182 | 17.989 | 17.824 | 17.683 | 17.559 | 17.450 |
| 7 | 0.05 | 5.591 | 4.738 | 4.347 | 4.120 | 3.972 | 3.866 | 3.787 | 3.726 | 3.677 | 3.637 | 3.603 | 3.575 | 3.550 | 3.529 | 3.511 | 3.495 |
| 0.01 | 12.246 | 9.547 | 8.451 | 7.847 | 7.461 | 7.192 | 6.993 | 6.840 | 6.719 | 6.620 | 6.538 | 6.469 | 6.410 | 6.359 | 6.314 | 6.275 |
| 0.001 | 29.245 | 21.689 | 18.772 | 17.198 | 16.206 | 15.521 | 15.019 | 14.634 | 14.330 | 14.083 | 13.879 | 13.707 | 13.561 | 13.434 | 13.324 | 13.227 |
| 8 | 0.05 | 5.318 | 4.459 | 4.066 | 3.838 | 3.688 | 3.581 | 3.501 | 3.438 | 3.388 | 3.347 | 3.313 | 3.284 | 3.259 | 3.237 | 3.219 | 3.202 |
| 0.01 | 11.259 | 8.649 | 7.591 | 7.006 | 6.632 | 6.371 | 6.178 | 6.029 | 5.911 | 5.814 | 5.734 | 5.667 | 5.609 | 5.559 | 5.515 | 5.477 |
| 0.001 | 25.415 | 18.494 | 15.829 | 14.392 | 13.485 | 12.858 | 12.398 | 12.046 | 11.767 | 11.540 | 11.353 | 11.195 | 11.060 | 10.943 | 10.841 | 10.752 |
| 9 | 0.05 | 5.117 | 4.257 | 3.863 | 3.633 | 3.482 | 3.374 | 3.293 | 3.230 | 3.179 | 3.137 | 3.103 | 3.073 | 3.048 | 3.026 | 3.006 | 2.989 |
| 0.01 | 10.561 | 8.022 | 6.992 | 6.422 | 6.057 | 5.802 | 5.613 | 5.467 | 5.351 | 5.257 | 5.178 | 5.112 | 5.055 | 5.005 | 4.962 | 4.924 |
| 0.001 | 22.857 | 16.387 | 13.901 | 12.560 | 11.714 | 11.128 | 10.698 | 10.368 | 10.107 | 9.894 | 9.718 | 9.570 | 9.443 | 9.334 | 9.238 | 9.154 |
| 10 | 0.05 | 4.965 | 4.103 | 3.708 | 3.478 | 3.326 | 3.217 | 3.136 | 3.072 | 3.020 | 2.978 | 2.943 | 2.913 | 2.887 | 2.865 | 2.845 | 2.828 |
| 0.01 | 10.044 | 7.560 | 6.552 | 5.994 | 5.636 | 5.386 | 5.200 | 5.057 | 4.943 | 4.849 | 4.772 | 4.706 | 4.650 | 4.601 | 4.558 | 4.521 |
| 0.001 | 21.040 | 14.905 | 12.552 | 11.283 | 10.481 | 9.926 | 9.518 | 9.204 | 8.956 | 8.754 | 8.586 | 8.445 | 8.325 | 8.220 | 8.129 | 8.048 |
| Degrees of Freedom: Denominator | α | Degrees of Freedom: Numerator |
| 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 |
| 11 | 0.05 | 4.844 | 3.982 | 3.588 | 3.357 | 3.204 | 3.095 | 3.012 | 2.948 | 2.896 | 2.854 | 2.818 | 2.788 | 2.762 | 2.739 | 2.719 | 2.701 |
| 0.01 | 9.646 | 7.206 | 6.217 | 5.668 | 5.316 | 5.069 | 4.886 | 4.745 | 4.632 | 4.539 | 4.463 | 4.398 | 4.342 | 4.293 | 4.251 | 4.214 |
| 0.001 | 19.687 | 13.812 | 11.561 | 10.346 | 9.578 | 9.047 | 8.655 | 8.355 | 8.116 | 7.922 | 7.762 | 7.626 | 7.510 | 7.409 | 7.321 | 7.244 |
| 12 | 0.05 | 4.747 | 3.885 | 3.490 | 3.259 | 3.106 | 2.996 | 2.913 | 2.849 | 2.796 | 2.753 | 2.717 | 2.687 | 2.660 | 2.637 | 2.617 | 2.599 |
| 0.01 | 9.330 | 6.927 | 5.953 | 5.412 | 5.064 | 4.821 | 4.640 | 4.499 | 4.388 | 4.296 | 4.220 | 4.155 | 4.100 | 4.052 | 4.010 | 3.972 |
| 0.001 | 18.643 | 12.974 | 10.804 | 9.633 | 8.892 | 8.379 | 8.001 | 7.710 | 7.480 | 7.292 | 7.136 | 7.005 | 6.892 | 6.795 | 6.709 | 6.634 |
| 13 | 0.05 | 4.667 | 3.806 | 3.411 | 3.179 | 3.026 | 2.915 | 2.832 | 2.767 | 2.714 | 2.671 | 2.635 | 2.604 | 2.577 | 2.554 | 2.533 | 2.515 |
| 0.01 | 9.074 | 6.701 | 5.739 | 5.205 | 4.862 | 4.620 | 4.441 | 4.302 | 4.191 | 4.100 | 4.025 | 3.960 | 3.905 | 3.857 | 3.815 | 3.778 |
| 0.001 | 17.815 | 12.313 | 10.209 | 9.073 | 8.354 | 7.856 | 7.489 | 7.206 | 6.982 | 6.799 | 6.647 | 6.519 | 6.410 | 6.314 | 6.231 | 6.158 |
| 14 | 0.05 | 4.600 | 3.739 | 3.344 | 3.112 | 2.958 | 2.848 | 2.764 | 2.699 | 2.646 | 2.602 | 2.566 | 2.534 | 2.507 | 2.484 | 2.463 | 2.445 |
| 0.01 | 8.862 | 6.515 | 5.564 | 5.035 | 4.695 | 4.456 | 4.278 | 4.140 | 4.030 | 3.939 | 3.864 | 3.800 | 3.745 | 3.698 | 3.656 | 3.619 |
| 0.001 | 17.143 | 11.779 | 9.729 | 8.622 | 7.922 | 7.436 | 7.078 | 6.802 | 6.583 | 6.404 | 6.256 | 6.130 | 6.023 | 5.930 | 5.848 | 5.776 |
| 15 | 0.05 | 4.543 | 3.682 | 3.287 | 3.056 | 2.901 | 2.791 | 2.707 | 2.641 | 2.588 | 2.544 | 2.507 | 2.475 | 2.448 | 2.424 | 2.404 | 2.385 |
| 0.01 | 8.683 | 6.359 | 5.417 | 4.893 | 4.556 | 4.318 | 4.142 | 4.005 | 3.895 | 3.805 | 3.730 | 3.666 | 3.612 | 3.564 | 3.522 | 3.485 |
| 0.001 | 16.587 | 11.339 | 9.335 | 8.253 | 7.567 | 7.092 | 6.741 | 6.471 | 6.256 | 6.081 | 5.935 | 5.812 | 5.707 | 5.615 | 5.535 | 5.464 |
| 16 | 0.05 | 4.494 | 3.634 | 3.239 | 3.007 | 2.853 | 2.741 | 2.657 | 2.591 | 2.538 | 2.494 | 2.456 | 2.425 | 2.397 | 2.373 | 2.352 | 2.334 |
| 0.01 | 8.531 | 6.226 | 5.292 | 4.773 | 4.438 | 4.202 | 4.026 | 3.890 | 3.781 | 3.691 | 3.616 | 3.553 | 3.498 | 3.451 | 3.409 | 3.372 |
| 0.001 | 16.120 | 10.971 | 9.006 | 7.944 | 7.272 | 6.805 | 6.460 | 6.195 | 5.984 | 5.812 | 5.669 | 5.547 | 5.444 | 5.353 | 5.275 | 5.205 |
| 17 | 0.05 | 4.451 | 3.592 | 3.197 | 2.965 | 2.810 | 2.699 | 2.614 | 2.548 | 2.494 | 2.450 | 2.413 | 2.381 | 2.353 | 2.329 | 2.308 | 2.289 |
| 0.01 | 8.400 | 6.112 | 5.185 | 4.669 | 4.336 | 4.102 | 3.927 | 3.791 | 3.682 | 3.593 | 3.519 | 3.455 | 3.401 | 3.353 | 3.312 | 3.275 |
| 0.001 | 15.722 | 10.659 | 8.727 | 7.683 | 7.022 | 6.563 | 6.223 | 5.962 | 5.754 | 5.584 | 5.443 | 5.324 | 5.221 | 5.132 | 5.055 | 4.986 |
| 18 | 0.05 | 4.414 | 3.555 | 3.160 | 2.928 | 2.773 | 2.661 | 2.577 | 2.510 | 2.456 | 2.412 | 2.374 | 2.342 | 2.314 | 2.290 | 2.269 | 2.250 |
| 0.01 | 8.285 | 6.013 | 5.092 | 4.579 | 4.248 | 4.015 | 3.841 | 3.706 | 3.597 | 3.508 | 3.434 | 3.371 | 3.316 | 3.269 | 3.227 | 3.191 |
| 0.001 | 15.379 | 10.390 | 8.487 | 7.459 | 6.808 | 6.355 | 6.021 | 5.763 | 5.558 | 5.390 | 5.251 | 5.133 | 5.031 | 4.943 | 4.866 | 4.798 |
| 19 | 0.05 | 4.381 | 3.522 | 3.127 | 2.895 | 2.740 | 2.628 | 2.544 | 2.477 | 2.423 | 2.378 | 2.340 | 2.308 | 2.280 | 2.256 | 2.234 | 2.215 |
| 0.01 | 8.185 | 5.926 | 5.010 | 4.500 | 4.171 | 3.939 | 3.765 | 3.631 | 3.523 | 3.434 | 3.360 | 3.297 | 3.242 | 3.195 | 3.153 | 3.117 |
| 0.001 | 15.081 | 10.157 | 8.280 | 7.266 | 6.623 | 6.176 | 5.845 | 5.591 | 5.388 | 5.222 | 5.084 | 4.967 | 4.867 | 4.780 | 4.704 | 4.636 |
| 20 | 0.05 | 4.351 | 3.493 | 3.098 | 2.866 | 2.711 | 2.599 | 2.514 | 2.447 | 2.393 | 2.348 | 2.310 | 2.278 | 2.250 | 2.225 | 2.203 | 2.184 |
| 0.01 | 8.096 | 5.849 | 4.938 | 4.431 | 4.103 | 3.872 | 3.699 | 3.565 | 3.457 | 3.368 | 3.294 | 3.231 | 3.177 | 3.130 | 3.088 | 3.051 |
| 0.001 | 14.819 | 9.953 | 8.098 | 7.096 | 6.461 | 6.019 | 5.692 | 5.440 | 5.239 | 5.075 | 4.939 | 4.823 | 4.724 | 4.637 | 4.562 | 4.495 |
| Degrees of Freedom: Denominator | α | Degrees of Freedom: Numerator |
| 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 |
| 21 | 0.05 | 4.325 | 3.467 | 3.073 | 2.840 | 2.685 | 2.573 | 2.488 | 2.421 | 2.366 | 2.321 | 2.283 | 2.250 | 2.222 | 2.198 | 2.176 | 2.156 |
| 0.01 | 8.017 | 5.781 | 4.874 | 4.369 | 4.042 | 3.812 | 3.640 | 3.506 | 3.398 | 3.310 | 3.236 | 3.173 | 3.119 | 3.072 | 3.030 | 2.993 |
| 0.001 | 14.587 | 9.772 | 7.938 | 6.947 | 6.318 | 5.881 | 5.557 | 5.308 | 5.109 | 4.946 | 4.811 | 4.696 | 4.598 | 4.512 | 4.437 | 4.371 |
| 22 | 0.05 | 4.301 | 3.443 | 3.049 | 2.817 | 2.661 | 2.549 | 2.464 | 2.397 | 2.342 | 2.297 | 2.259 | 2.226 | 2.198 | 2.173 | 2.151 | 2.131 |
| 0.01 | 7.945 | 5.719 | 4.817 | 4.314 | 3.988 | 3.758 | 3.587 | 3.453 | 3.346 | 3.258 | 3.184 | 3.121 | 3.067 | 3.020 | 2.978 | 2.941 |
| 0.001 | 14.380 | 9.612 | 7.796 | 6.814 | 6.191 | 5.758 | 5.438 | 5.190 | 4.993 | 4.832 | 4.697 | 4.584 | 4.486 | 4.401 | 4.326 | 4.260 |
| 23 | 0.05 | 4.279 | 3.422 | 3.028 | 2.796 | 2.640 | 2.528 | 2.442 | 2.375 | 2.320 | 2.275 | 2.237 | 2.204 | 2.175 | 2.150 | 2.128 | 2.109 |
| 0.01 | 7.881 | 5.664 | 4.765 | 4.264 | 3.939 | 3.710 | 3.539 | 3.406 | 3.299 | 3.211 | 3.137 | 3.074 | 3.020 | 2.973 | 2.931 | 2.894 |
| 0.001 | 14.195 | 9.469 | 7.669 | 6.696 | 6.078 | 5.649 | 5.331 | 5.085 | 4.890 | 4.730 | 4.596 | 4.483 | 4.386 | 4.302 | 4.228 | 4.162 |
| 24 | 0.05 | 4.260 | 3.403 | 3.009 | 2.776 | 2.621 | 2.508 | 2.423 | 2.355 | 2.300 | 2.255 | 2.216 | 2.183 | 2.155 | 2.130 | 2.108 | 2.088 |
| 0.01 | 7.823 | 5.614 | 4.718 | 4.219 | 3.895 | 3.667 | 3.496 | 3.363 | 3.256 | 3.168 | 3.094 | 3.032 | 2.978 | 2.930 | 2.889 | 2.852 |
| 0.001 | 14.028 | 9.339 | 7.554 | 6.589 | 5.977 | 5.550 | 5.235 | 4.991 | 4.797 | 4.638 | 4.505 | 4.393 | 4.296 | 4.212 | 4.139 | 4.074 |
| 25 | 0.05 | 4.242 | 3.385 | 2.991 | 2.759 | 2.603 | 2.491 | 2.405 | 2.337 | 2.282 | 2.237 | 2.198 | 2.165 | 2.136 | 2.111 | 2.089 | 2.069 |
| 0.01 | 7.770 | 5.568 | 4.676 | 4.178 | 3.855 | 3.627 | 3.457 | 3.324 | 3.217 | 3.130 | 3.056 | 2.993 | 2.939 | 2.892 | 2.850 | 2.813 |
| 0.001 | 13.877 | 9.223 | 7.451 | 6.493 | 5.885 | 5.462 | 5.148 | 4.906 | 4.713 | 4.555 | 4.423 | 4.312 | 4.216 | 4.132 | 4.059 | 3.994 |
| 26 | 0.05 | 4.225 | 3.369 | 2.975 | 2.743 | 2.587 | 2.474 | 2.388 | 2.321 | 2.266 | 2.220 | 2.181 | 2.148 | 2.119 | 2.094 | 2.072 | 2.052 |
| 0.01 | 7.721 | 5.526 | 4.637 | 4.140 | 3.818 | 3.591 | 3.421 | 3.288 | 3.182 | 3.094 | 3.021 | 2.958 | 2.904 | 2.857 | 2.815 | 2.778 |
| 0.001 | 13.739 | 9.116 | 7.357 | 6.406 | 5.802 | 5.381 | 5.070 | 4.829 | 4.637 | 4.480 | 4.349 | 4.238 | 4.142 | 4.059 | 3.986 | 3.922 |
| 27 | 0.05 | 4.210 | 3.354 | 2.960 | 2.728 | 2.572 | 2.459 | 2.373 | 2.305 | 2.250 | 2.204 | 2.166 | 2.132 | 2.104 | 2.078 | 2.056 | 2.036 |
| 0.01 | 7.677 | 5.488 | 4.601 | 4.106 | 3.785 | 3.558 | 3.388 | 3.256 | 3.149 | 3.062 | 2.988 | 2.926 | 2.872 | 2.824 | 2.783 | 2.746 |
| 0.001 | 13.613 | 9.019 | 7.271 | 6.326 | 5.726 | 5.308 | 4.998 | 4.759 | 4.568 | 4.412 | 4.281 | 4.171 | 4.075 | 3.993 | 3.920 | 3.856 |
| 28 | 0.05 | 4.196 | 3.340 | 2.947 | 2.714 | 2.558 | 2.445 | 2.359 | 2.291 | 2.236 | 2.190 | 2.151 | 2.118 | 2.089 | 2.064 | 2.041 | 2.021 |
| 0.01 | 7.636 | 5.453 | 4.568 | 4.074 | 3.754 | 3.528 | 3.358 | 3.226 | 3.120 | 3.032 | 2.959 | 2.896 | 2.842 | 2.795 | 2.753 | 2.716 |
| 0.001 | 13.498 | 8.931 | 7.193 | 6.253 | 5.657 | 5.241 | 4.933 | 4.695 | 4.505 | 4.349 | 4.219 | 4.109 | 4.014 | 3.932 | 3.860 | 3.795 |
| 29 | 0.05 | 4.183 | 3.328 | 2.934 | 2.701 | 2.545 | 2.433 | 2.346 | 2.278 | 2.223 | 2.177 | 2.138 | 2.105 | 2.076 | 2.050 | 2.028 | 2.007 |
| 0.01 | 7.598 | 5.421 | 4.538 | 4.045 | 3.725 | 3.500 | 3.330 | 3.198 | 3.092 | 3.005 | 2.931 | 2.869 | 2.814 | 2.767 | 2.726 | 2.689 |
| 0.001 | 13.391 | 8.849 | 7.121 | 6.186 | 5.593 | 5.179 | 4.873 | 4.636 | 4.447 | 4.292 | 4.162 | 4.053 | 3.958 | 3.876 | 3.804 | 3.740 |
| 30 | 0.05 | 4.171 | 3.316 | 2.922 | 2.690 | 2.534 | 2.421 | 2.334 | 2.266 | 2.211 | 2.165 | 2.126 | 2.092 | 2.063 | 2.038 | 2.015 | 1.995 |
| 0.01 | 7.562 | 5.390 | 4.510 | 4.018 | 3.699 | 3.474 | 3.305 | 3.173 | 3.067 | 2.979 | 2.906 | 2.843 | 2.789 | 2.742 | 2.700 | 2.663 |
| 0.001 | 13.293 | 8.773 | 7.054 | 6.125 | 5.534 | 5.122 | 4.817 | 4.582 | 4.393 | 4.239 | 4.110 | 4.001 | 3.907 | 3.825 | 3.753 | 3.689 |
| Degrees of Freedom: Denominator | α | Degrees of Freedom: Numerator |
| 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 |
| 31 | 0.05 | 4.160 | 3.305 | 2.911 | 2.679 | 2.523 | 2.410 | 2.323 | 2.255 | 2.199 | 2.153 | 2.114 | 2.081 | 2.051 | 2.026 | 2.003 | 1.983 |
| 0.01 | 7.530 | 5.362 | 4.484 | 3.993 | 3.675 | 3.449 | 3.281 | 3.149 | 3.043 | 2.956 | 2.882 | 2.820 | 2.766 | 2.718 | 2.677 | 2.640 |
| 0.001 | 13.202 | 8.704 | 6.993 | 6.068 | 5.480 | 5.070 | 4.766 | 4.531 | 4.344 | 4.190 | 4.062 | 3.953 | 3.859 | 3.777 | 3.706 | 3.642 |
| 32 | 0.05 | 4.149 | 3.295 | 2.901 | 2.669 | 2.512 | 2.399 | 2.313 | 2.244 | 2.189 | 2.143 | 2.103 | 2.070 | 2.041 | 2.015 | 1.992 | 1.972 |
| 0.01 | 7.499 | 5.336 | 4.460 | 3.970 | 3.652 | 3.427 | 3.258 | 3.127 | 3.021 | 2.934 | 2.860 | 2.798 | 2.744 | 2.696 | 2.655 | 2.618 |
| 0.001 | 13.117 | 8.639 | 6.936 | 6.015 | 5.429 | 5.021 | 4.719 | 4.485 | 4.298 | 4.145 | 4.017 | 3.908 | 3.815 | 3.733 | 3.662 | 3.598 |
| 33 | 0.05 | 4.139 | 3.285 | 2.892 | 2.659 | 2.503 | 2.389 | 2.303 | 2.235 | 2.179 | 2.133 | 2.093 | 2.060 | 2.030 | 2.005 | 1.982 | 1.961 |
| 0.01 | 7.471 | 5.312 | 4.437 | 3.948 | 3.631 | 3.406 | 3.238 | 3.106 | 3.000 | 2.913 | 2.840 | 2.777 | 2.723 | 2.676 | 2.634 | 2.597 |
| 0.001 | 13.039 | 8.579 | 6.883 | 5.965 | 5.382 | 4.976 | 4.675 | 4.441 | 4.255 | 4.103 | 3.975 | 3.867 | 3.773 | 3.692 | 3.621 | 3.558 |
| 34 | 0.05 | 4.130 | 3.276 | 2.883 | 2.650 | 2.494 | 2.380 | 2.294 | 2.225 | 2.170 | 2.123 | 2.084 | 2.050 | 2.021 | 1.995 | 1.972 | 1.952 |
| 0.01 | 7.444 | 5.289 | 4.416 | 3.927 | 3.611 | 3.386 | 3.218 | 3.087 | 2.981 | 2.894 | 2.821 | 2.758 | 2.704 | 2.657 | 2.615 | 2.578 |
| 0.001 | 12.965 | 8.522 | 6.833 | 5.919 | 5.339 | 4.934 | 4.633 | 4.401 | 4.215 | 4.063 | 3.936 | 3.828 | 3.735 | 3.654 | 3.583 | 3.520 |
| 35 | 0.05 | 4.121 | 3.268 | 2.874 | 2.642 | 2.485 | 2.372 | 2.285 | 2.217 | 2.161 | 2.114 | 2.075 | 2.041 | 2.012 | 1.986 | 1.963 | 1.943 |
| 0.01 | 7.419 | 5.268 | 4.396 | 3.908 | 3.592 | 3.368 | 3.200 | 3.069 | 2.963 | 2.876 | 2.803 | 2.740 | 2.686 | 2.639 | 2.597 | 2.560 |
| 0.001 | 12.896 | 8.470 | 6.787 | 5.876 | 5.298 | 4.894 | 4.595 | 4.363 | 4.178 | 4.027 | 3.900 | 3.792 | 3.699 | 3.619 | 3.548 | 3.485 |
| 36 | 0.05 | 4.113 | 3.260 | 2.866 | 2.634 | 2.477 | 2.364 | 2.277 | 2.209 | 2.153 | 2.106 | 2.067 | 2.033 | 2.003 | 1.977 | 1.954 | 1.934 |
| 0.01 | 7.396 | 5.248 | 4.377 | 3.890 | 3.574 | 3.351 | 3.183 | 3.052 | 2.946 | 2.859 | 2.786 | 2.723 | 2.669 | 2.622 | 2.580 | 2.543 |
| 0.001 | 12.832 | 8.420 | 6.744 | 5.836 | 5.260 | 4.857 | 4.559 | 4.328 | 4.144 | 3.992 | 3.866 | 3.758 | 3.666 | 3.585 | 3.514 | 3.451 |
| 37 | 0.05 | 4.105 | 3.252 | 2.859 | 2.626 | 2.470 | 2.356 | 2.270 | 2.201 | 2.145 | 2.098 | 2.059 | 2.025 | 1.995 | 1.969 | 1.946 | 1.926 |
| 0.01 | 7.373 | 5.229 | 4.360 | 3.874 | 3.558 | 3.335 | 3.167 | 3.036 | 2.930 | 2.843 | 2.770 | 2.707 | 2.653 | 2.606 | 2.564 | 2.527 |
| 0.001 | 12.771 | 8.374 | 6.703 | 5.799 | 5.224 | 4.823 | 4.525 | 4.295 | 4.111 | 3.960 | 3.834 | 3.727 | 3.634 | 3.554 | 3.483 | 3.420 |
| 38 | 0.05 | 4.098 | 3.245 | 2.852 | 2.619 | 2.463 | 2.349 | 2.262 | 2.194 | 2.138 | 2.091 | 2.051 | 2.017 | 1.988 | 1.962 | 1.939 | 1.918 |
| 0.01 | 7.353 | 5.211 | 4.343 | 3.858 | 3.542 | 3.319 | 3.152 | 3.021 | 2.915 | 2.828 | 2.755 | 2.692 | 2.638 | 2.591 | 2.549 | 2.512 |
| 0.001 | 12.714 | 8.331 | 6.665 | 5.763 | 5.190 | 4.790 | 4.494 | 4.264 | 4.080 | 3.930 | 3.804 | 3.697 | 3.605 | 3.525 | 3.454 | 3.391 |
| 39 | 0.05 | 4.091 | 3.238 | 2.845 | 2.612 | 2.456 | 2.342 | 2.256 | 2.187 | 2.131 | 2.084 | 2.044 | 2.010 | 1.981 | 1.955 | 1.931 | 1.911 |
| 0.01 | 7.333 | 5.195 | 4.327 | 3.843 | 3.528 | 3.305 | 3.137 | 3.007 | 2.901 | 2.814 | 2.741 | 2.678 | 2.624 | 2.577 | 2.535 | 2.498 |
| 0.001 | 12.660 | 8.290 | 6.629 | 5.730 | 5.158 | 4.760 | 4.464 | 4.235 | 4.052 | 3.901 | 3.776 | 3.669 | 3.577 | 3.497 | 3.426 | 3.364 |
| 40 | 0.05 | 4.085 | 3.232 | 2.839 | 2.606 | 2.450 | 2.336 | 2.249 | 2.180 | 2.124 | 2.077 | 2.038 | 2.004 | 1.974 | 1.948 | 1.925 | 1.904 |
| 0.01 | 7.314 | 5.179 | 4.313 | 3.828 | 3.514 | 3.291 | 3.124 | 2.993 | 2.888 | 2.801 | 2.727 | 2.665 | 2.611 | 2.564 | 2.522 | 2.485 |
| 0.001 | 12.609 | 8.251 | 6.595 | 5.698 | 5.128 | 4.731 | 4.436 | 4.207 | 4.024 | 3.874 | 3.749 | 3.643 | 3.551 | 3.471 | 3.400 | 3.338 |
| Degrees of Freedom: Denominator | α | Degrees of Freedom: Numerator |
| 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 |
| 41 | 0.05 | 4.079 | 3.226 | 2.833 | 2.600 | 2.444 | 2.330 | 2.243 | 2.174 | 2.118 | 2.071 | 2.031 | 1.997 | 1.967 | 1.941 | 1.918 | 1.897 |
| 0.01 | 7.296 | 5.164 | 4.299 | 3.815 | 3.501 | 3.278 | 3.111 | 2.980 | 2.875 | 2.788 | 2.715 | 2.652 | 2.598 | 2.551 | 2.509 | 2.472 |
| 0.001 | 12.561 | 8.214 | 6.562 | 5.668 | 5.100 | 4.703 | 4.409 | 4.181 | 3.999 | 3.849 | 3.724 | 3.618 | 3.526 | 3.446 | 3.376 | 3.313 |
| 42 | 0.05 | 4.073 | 3.220 | 2.827 | 2.594 | 2.438 | 2.324 | 2.237 | 2.168 | 2.112 | 2.065 | 2.025 | 1.991 | 1.961 | 1.935 | 1.912 | 1.891 |
| 0.01 | 7.280 | 5.149 | 4.285 | 3.802 | 3.488 | 3.266 | 3.099 | 2.968 | 2.863 | 2.776 | 2.703 | 2.640 | 2.586 | 2.539 | 2.497 | 2.460 |
| 0.001 | 12.516 | 8.180 | 6.532 | 5.640 | 5.073 | 4.677 | 4.384 | 4.156 | 3.974 | 3.825 | 3.700 | 3.594 | 3.503 | 3.423 | 3.353 | 3.290 |
| 43 | 0.05 | 4.067 | 3.215 | 2.822 | 2.589 | 2.432 | 2.319 | 2.232 | 2.163 | 2.106 | 2.059 | 2.020 | 1.985 | 1.956 | 1.929 | 1.906 | 1.885 |
| 0.01 | 7.264 | 5.136 | 4.273 | 3.790 | 3.476 | 3.254 | 3.087 | 2.957 | 2.851 | 2.765 | 2.691 | 2.629 | 2.575 | 2.527 | 2.486 | 2.448 |
| 0.001 | 12.472 | 8.147 | 6.503 | 5.614 | 5.048 | 4.653 | 4.360 | 4.133 | 3.951 | 3.802 | 3.678 | 3.572 | 3.480 | 3.401 | 3.331 | 3.268 |
| 44 | 0.05 | 4.062 | 3.209 | 2.817 | 2.584 | 2.427 | 2.313 | 2.226 | 2.157 | 2.101 | 2.054 | 2.014 | 1.980 | 1.950 | 1.924 | 1.900 | 1.879 |
| 0.01 | 7.248 | 5.123 | 4.261 | 3.779 | 3.465 | 3.243 | 3.076 | 2.946 | 2.841 | 2.754 | 2.681 | 2.618 | 2.564 | 2.516 | 2.475 | 2.437 |
| 0.001 | 12.431 | 8.115 | 6.476 | 5.588 | 5.024 | 4.630 | 4.337 | 4.111 | 3.929 | 3.781 | 3.656 | 3.550 | 3.459 | 3.380 | 3.310 | 3.247 |
| 45 | 0.05 | 4.057 | 3.204 | 2.812 | 2.579 | 2.422 | 2.308 | 2.221 | 2.152 | 2.096 | 2.049 | 2.009 | 1.975 | 1.945 | 1.918 | 1.895 | 1.874 |
| 0.01 | 7.234 | 5.110 | 4.249 | 3.768 | 3.455 | 3.233 | 3.066 | 2.935 | 2.830 | 2.743 | 2.670 | 2.608 | 2.554 | 2.506 | 2.464 | 2.427 |
| 0.001 | 12.392 | 8.086 | 6.450 | 5.564 | 5.001 | 4.608 | 4.316 | 4.090 | 3.909 | 3.760 | 3.636 | 3.530 | 3.439 | 3.360 | 3.290 | 3.228 |
| 46 | 0.05 | 4.052 | 3.200 | 2.807 | 2.574 | 2.417 | 2.304 | 2.217 | 2.147 | 2.091 | 2.044 | 2.004 | 1.970 | 1.940 | 1.913 | 1.890 | 1.869 |
| 0.01 | 7.220 | 5.099 | 4.238 | 3.757 | 3.444 | 3.223 | 3.056 | 2.926 | 2.820 | 2.733 | 2.660 | 2.598 | 2.544 | 2.496 | 2.454 | 2.417 |
| 0.001 | 12.355 | 8.057 | 6.425 | 5.541 | 4.979 | 4.587 | 4.295 | 4.070 | 3.889 | 3.741 | 3.617 | 3.511 | 3.420 | 3.341 | 3.271 | 3.209 |
| 47 | 0.05 | 4.047 | 3.195 | 2.802 | 2.570 | 2.413 | 2.299 | 2.212 | 2.143 | 2.086 | 2.039 | 1.999 | 1.965 | 1.935 | 1.908 | 1.885 | 1.864 |
| 0.01 | 7.207 | 5.087 | 4.228 | 3.747 | 3.435 | 3.213 | 3.046 | 2.916 | 2.811 | 2.724 | 2.651 | 2.588 | 2.534 | 2.487 | 2.445 | 2.408 |
| 0.001 | 12.319 | 8.030 | 6.401 | 5.519 | 4.958 | 4.567 | 4.276 | 4.050 | 3.870 | 3.722 | 3.598 | 3.493 | 3.402 | 3.323 | 3.253 | 3.191 |
| 48 | 0.05 | 4.043 | 3.191 | 2.798 | 2.565 | 2.409 | 2.295 | 2.208 | 2.138 | 2.082 | 2.035 | 1.995 | 1.960 | 1.930 | 1.904 | 1.880 | 1.859 |
| 0.01 | 7.194 | 5.077 | 4.218 | 3.738 | 3.425 | 3.204 | 3.037 | 2.907 | 2.802 | 2.715 | 2.642 | 2.579 | 2.525 | 2.478 | 2.436 | 2.399 |
| 0.001 | 12.286 | 8.005 | 6.378 | 5.498 | 4.938 | 4.547 | 4.257 | 4.032 | 3.852 | 3.704 | 3.581 | 3.475 | 3.385 | 3.305 | 3.236 | 3.174 |
| 49 | 0.05 | 4.038 | 3.187 | 2.794 | 2.561 | 2.404 | 2.291 | 2.203 | 2.134 | 2.078 | 2.030 | 1.990 | 1.956 | 1.926 | 1.899 | 1.876 | 1.855 |
| 0.01 | 7.182 | 5.067 | 4.209 | 3.728 | 3.416 | 3.195 | 3.029 | 2.898 | 2.793 | 2.706 | 2.633 | 2.571 | 2.517 | 2.469 | 2.427 | 2.390 |
| 0.001 | 12.253 | 7.980 | 6.357 | 5.478 | 4.920 | 4.529 | 4.239 | 4.015 | 3.835 | 3.687 | 3.564 | 3.459 | 3.368 | 3.289 | 3.219 | 3.157 |
| 50 | 0.05 | 4.034 | 3.183 | 2.790 | 2.557 | 2.401 | 2.287 | 2.199 | 2.130 | 2.073 | 2.026 | 1.986 | 1.952 | 1.922 | 1.895 | 1.871 | 1.850 |
| 0.01 | 7.171 | 5.057 | 4.199 | 3.720 | 3.408 | 3.187 | 3.020 | 2.890 | 2.785 | 2.698 | 2.625 | 2.563 | 2.508 | 2.461 | 2.419 | 2.382 |
| 0.001 | 12.222 | 7.957 | 6.336 | 5.459 | 4.901 | 4.512 | 4.222 | 3.998 | 3.819 | 3.671 | 3.548 | 3.443 | 3.352 | 3.273 | 3.204 | 3.142 |
| Degrees of Freedom: Denominator | α | Degrees of Freedom: Numerator |
| 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 |
| 51 | 0.05 | 4.030 | 3.179 | 2.786 | 2.553 | 2.397 | 2.283 | 2.195 | 2.126 | 2.070 | 2.022 | 1.982 | 1.948 | 1.917 | 1.891 | 1.867 | 1.846 |
| 0.01 | 7.159 | 5.047 | 4.191 | 3.711 | 3.400 | 3.178 | 3.012 | 2.882 | 2.777 | 2.690 | 2.617 | 2.555 | 2.501 | 2.453 | 2.411 | 2.374 |
| 0.001 | 12.192 | 7.934 | 6.317 | 5.441 | 4.884 | 4.495 | 4.206 | 3.982 | 3.803 | 3.656 | 3.532 | 3.428 | 3.337 | 3.258 | 3.189 | 3.127 |
| 52 | 0.05 | 4.027 | 3.175 | 2.783 | 2.550 | 2.393 | 2.279 | 2.192 | 2.122 | 2.066 | 2.018 | 1.978 | 1.944 | 1.914 | 1.887 | 1.863 | 1.842 |
| 0.01 | 7.149 | 5.038 | 4.182 | 3.703 | 3.392 | 3.171 | 3.005 | 2.875 | 2.770 | 2.683 | 2.610 | 2.547 | 2.493 | 2.446 | 2.404 | 2.366 |
| 0.001 | 12.164 | 7.912 | 6.298 | 5.424 | 4.868 | 4.479 | 4.191 | 3.967 | 3.788 | 3.641 | 3.518 | 3.413 | 3.323 | 3.244 | 3.174 | 3.113 |
| 53 | 0.05 | 4.023 | 3.172 | 2.779 | 2.546 | 2.390 | 2.275 | 2.188 | 2.119 | 2.062 | 2.015 | 1.975 | 1.940 | 1.910 | 1.883 | 1.860 | 1.838 |
| 0.01 | 7.139 | 5.030 | 4.174 | 3.696 | 3.384 | 3.163 | 2.997 | 2.867 | 2.762 | 2.676 | 2.602 | 2.540 | 2.486 | 2.438 | 2.396 | 2.359 |
| 0.001 | 12.137 | 7.892 | 6.280 | 5.407 | 4.852 | 4.464 | 4.176 | 3.952 | 3.773 | 3.627 | 3.504 | 3.399 | 3.309 | 3.230 | 3.161 | 3.099 |
| 54 | 0.05 | 4.020 | 3.168 | 2.776 | 2.543 | 2.386 | 2.272 | 2.185 | 2.115 | 2.059 | 2.011 | 1.971 | 1.936 | 1.906 | 1.880 | 1.856 | 1.835 |
| 0.01 | 7.129 | 5.021 | 4.167 | 3.688 | 3.377 | 3.156 | 2.990 | 2.860 | 2.755 | 2.669 | 2.595 | 2.533 | 2.479 | 2.431 | 2.389 | 2.352 |
| 0.001 | 12.111 | 7.872 | 6.262 | 5.391 | 4.836 | 4.449 | 4.161 | 3.938 | 3.760 | 3.613 | 3.490 | 3.386 | 3.295 | 3.217 | 3.147 | 3.086 |
| 55 | 0.05 | 4.016 | 3.165 | 2.773 | 2.540 | 2.383 | 2.269 | 2.181 | 2.112 | 2.055 | 2.008 | 1.968 | 1.933 | 1.903 | 1.876 | 1.852 | 1.831 |
| 0.01 | 7.119 | 5.013 | 4.159 | 3.681 | 3.370 | 3.149 | 2.983 | 2.854 | 2.749 | 2.662 | 2.589 | 2.526 | 2.472 | 2.425 | 2.383 | 2.345 |
| 0.001 | 12.085 | 7.853 | 6.246 | 5.376 | 4.822 | 4.435 | 4.148 | 3.925 | 3.746 | 3.600 | 3.477 | 3.373 | 3.283 | 3.204 | 3.135 | 3.073 |
| 56 | 0.05 | 4.013 | 3.162 | 2.770 | 2.537 | 2.380 | 2.266 | 2.178 | 2.109 | 2.052 | 2.005 | 1.964 | 1.930 | 1.899 | 1.873 | 1.849 | 1.828 |
| 0.01 | 7.110 | 5.006 | 4.152 | 3.674 | 3.363 | 3.143 | 2.977 | 2.847 | 2.742 | 2.655 | 2.582 | 2.520 | 2.466 | 2.418 | 2.376 | 2.339 |
| 0.001 | 12.061 | 7.835 | 6.230 | 5.361 | 4.808 | 4.421 | 4.135 | 3.912 | 3.734 | 3.587 | 3.465 | 3.360 | 3.270 | 3.192 | 3.122 | 3.061 |
| 57 | 0.05 | 4.010 | 3.159 | 2.767 | 2.534 | 2.377 | 2.263 | 2.175 | 2.106 | 2.049 | 2.001 | 1.961 | 1.926 | 1.896 | 1.869 | 1.846 | 1.824 |
| 0.01 | 7.102 | 4.998 | 4.145 | 3.668 | 3.357 | 3.136 | 2.971 | 2.841 | 2.736 | 2.649 | 2.576 | 2.514 | 2.459 | 2.412 | 2.370 | 2.332 |
| 0.001 | 12.038 | 7.817 | 6.214 | 5.346 | 4.794 | 4.408 | 4.122 | 3.900 | 3.721 | 3.575 | 3.453 | 3.348 | 3.258 | 3.180 | 3.111 | 3.049 |
| 58 | 0.05 | 4.007 | 3.156 | 2.764 | 2.531 | 2.374 | 2.260 | 2.172 | 2.103 | 2.046 | 1.998 | 1.958 | 1.923 | 1.893 | 1.866 | 1.843 | 1.821 |
| 0.01 | 7.093 | 4.991 | 4.139 | 3.661 | 3.351 | 3.130 | 2.965 | 2.835 | 2.730 | 2.643 | 2.570 | 2.508 | 2.453 | 2.406 | 2.364 | 2.326 |
| 0.001 | 12.015 | 7.800 | 6.199 | 5.333 | 4.781 | 4.396 | 4.110 | 3.888 | 3.710 | 3.564 | 3.441 | 3.337 | 3.247 | 3.169 | 3.100 | 3.038 |
| 59 | 0.05 | 4.004 | 3.153 | 2.761 | 2.528 | 2.371 | 2.257 | 2.169 | 2.100 | 2.043 | 1.996 | 1.955 | 1.920 | 1.890 | 1.863 | 1.839 | 1.818 |
| 0.01 | 7.085 | 4.984 | 4.132 | 3.655 | 3.345 | 3.124 | 2.959 | 2.829 | 2.724 | 2.637 | 2.564 | 2.502 | 2.448 | 2.400 | 2.358 | 2.321 |
| 0.001 | 11.994 | 7.784 | 6.185 | 5.320 | 4.769 | 4.384 | 4.098 | 3.876 | 3.698 | 3.552 | 3.430 | 3.326 | 3.236 | 3.158 | 3.089 | 3.027 |
| 60 | 0.05 | 4.001 | 3.151 | 2.758 | 2.525 | 2.368 | 2.254 | 2.167 | 2.097 | 2.040 | 1.993 | 1.952 | 1.917 | 1.887 | 1.860 | 1.837 | 1.815 |
| 0.01 | 7.077 | 4.978 | 4.126 | 3.649 | 3.339 | 3.119 | 2.953 | 2.823 | 2.719 | 2.632 | 2.559 | 2.496 | 2.442 | 2.394 | 2.352 | 2.315 |
| 0.001 | 11.973 | 7.768 | 6.171 | 5.307 | 4.757 | 4.372 | 4.087 | 3.865 | 3.687 | 3.542 | 3.419 | 3.315 | 3.226 | 3.147 | 3.078 | 3.017 |
| Degrees of Freedom: Denominator | α | Degrees of Freedom: Numerator |
| 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 |
| 61 | 0.05 | 3.998 | 3.148 | 2.756 | 2.523 | 2.366 | 2.252 | 2.164 | 2.094 | 2.037 | 1.990 | 1.950 | 1.915 | 1.884 | 1.858 | 1.834 | 1.812 |
| 0.01 | 7.070 | 4.971 | 4.120 | 3.643 | 3.333 | 3.113 | 2.948 | 2.818 | 2.713 | 2.626 | 2.553 | 2.491 | 2.437 | 2.389 | 2.347 | 2.309 |
| 0.001 | 11.953 | 7.753 | 6.158 | 5.295 | 4.745 | 4.361 | 4.076 | 3.854 | 3.677 | 3.531 | 3.409 | 3.305 | 3.215 | 3.137 | 3.068 | 3.007 |
| 62 | 0.05 | 3.996 | 3.145 | 2.753 | 2.520 | 2.363 | 2.249 | 2.161 | 2.092 | 2.035 | 1.987 | 1.947 | 1.912 | 1.882 | 1.855 | 1.831 | 1.810 |
| 0.01 | 7.062 | 4.965 | 4.114 | 3.638 | 3.328 | 3.108 | 2.942 | 2.813 | 2.708 | 2.621 | 2.548 | 2.486 | 2.431 | 2.384 | 2.342 | 2.304 |
| 0.001 | 11.933 | 7.738 | 6.145 | 5.283 | 4.734 | 4.350 | 4.065 | 3.844 | 3.667 | 3.521 | 3.399 | 3.295 | 3.206 | 3.127 | 3.058 | 2.997 |
| 63 | 0.05 | 3.993 | 3.143 | 2.751 | 2.518 | 2.361 | 2.247 | 2.159 | 2.089 | 2.032 | 1.985 | 1.944 | 1.909 | 1.879 | 1.852 | 1.828 | 1.807 |
| 0.01 | 7.055 | 4.959 | 4.109 | 3.633 | 3.323 | 3.103 | 2.937 | 2.808 | 2.703 | 2.616 | 2.543 | 2.481 | 2.426 | 2.379 | 2.337 | 2.299 |
| 0.001 | 11.915 | 7.724 | 6.133 | 5.271 | 4.723 | 4.340 | 4.055 | 3.834 | 3.657 | 3.511 | 3.390 | 3.286 | 3.196 | 3.118 | 3.049 | 2.988 |
| 64 | 0.05 | 3.991 | 3.141 | 2.748 | 2.515 | 2.358 | 2.244 | 2.157 | 2.087 | 2.030 | 1.982 | 1.942 | 1.907 | 1.876 | 1.850 | 1.826 | 1.804 |
| 0.01 | 7.048 | 4.953 | 4.103 | 3.627 | 3.318 | 3.098 | 2.932 | 2.803 | 2.698 | 2.611 | 2.538 | 2.476 | 2.422 | 2.374 | 2.332 | 2.294 |
| 0.001 | 11.897 | 7.710 | 6.121 | 5.260 | 4.712 | 4.330 | 4.045 | 3.824 | 3.647 | 3.502 | 3.380 | 3.277 | 3.187 | 3.109 | 3.040 | 2.979 |
| 65 | 0.05 | 3.989 | 3.138 | 2.746 | 2.513 | 2.356 | 2.242 | 2.154 | 2.085 | 2.028 | 1.980 | 1.939 | 1.904 | 1.874 | 1.847 | 1.823 | 1.802 |
| 0.01 | 7.042 | 4.948 | 4.098 | 3.622 | 3.313 | 3.093 | 2.928 | 2.798 | 2.693 | 2.607 | 2.534 | 2.471 | 2.417 | 2.369 | 2.327 | 2.290 |
| 0.001 | 11.879 | 7.697 | 6.109 | 5.249 | 4.702 | 4.320 | 4.036 | 3.815 | 3.638 | 3.493 | 3.371 | 3.268 | 3.178 | 3.100 | 3.031 | 2.970 |
| 66 | 0.05 | 3.986 | 3.136 | 2.744 | 2.511 | 2.354 | 2.240 | 2.152 | 2.082 | 2.025 | 1.978 | 1.937 | 1.902 | 1.872 | 1.845 | 1.821 | 1.799 |
| 0.01 | 7.035 | 4.942 | 4.093 | 3.618 | 3.308 | 3.088 | 2.923 | 2.794 | 2.689 | 2.602 | 2.529 | 2.467 | 2.412 | 2.365 | 2.323 | 2.285 |
| 0.001 | 11.862 | 7.684 | 6.098 | 5.239 | 4.692 | 4.310 | 4.026 | 3.806 | 3.629 | 3.484 | 3.363 | 3.259 | 3.170 | 3.091 | 3.023 | 2.961 |
| 67 | 0.05 | 3.984 | 3.134 | 2.742 | 2.509 | 2.352 | 2.237 | 2.150 | 2.080 | 2.023 | 1.975 | 1.935 | 1.900 | 1.869 | 1.842 | 1.818 | 1.797 |
| 0.01 | 7.029 | 4.937 | 4.088 | 3.613 | 3.304 | 3.084 | 2.919 | 2.789 | 2.684 | 2.598 | 2.525 | 2.462 | 2.408 | 2.360 | 2.318 | 2.281 |
| 0.001 | 11.846 | 7.672 | 6.087 | 5.229 | 4.683 | 4.301 | 4.017 | 3.797 | 3.621 | 3.476 | 3.354 | 3.251 | 3.161 | 3.083 | 3.014 | 2.953 |
| 68 | 0.05 | 3.982 | 3.132 | 2.740 | 2.507 | 2.350 | 2.235 | 2.148 | 2.078 | 2.021 | 1.973 | 1.933 | 1.898 | 1.867 | 1.840 | 1.816 | 1.795 |
| 0.01 | 7.023 | 4.932 | 4.084 | 3.608 | 3.299 | 3.080 | 2.914 | 2.785 | 2.680 | 2.593 | 2.520 | 2.458 | 2.404 | 2.356 | 2.314 | 2.276 |
| 0.001 | 11.830 | 7.660 | 6.077 | 5.219 | 4.674 | 4.292 | 4.009 | 3.789 | 3.612 | 3.468 | 3.346 | 3.243 | 3.153 | 3.075 | 3.006 | 2.945 |
| 69 | 0.05 | 3.980 | 3.130 | 2.738 | 2.505 | 2.348 | 2.233 | 2.146 | 2.076 | 2.019 | 1.971 | 1.930 | 1.895 | 1.865 | 1.838 | 1.814 | 1.792 |
| 0.01 | 7.017 | 4.927 | 4.079 | 3.604 | 3.295 | 3.075 | 2.910 | 2.781 | 2.676 | 2.589 | 2.516 | 2.454 | 2.399 | 2.352 | 2.310 | 2.272 |
| 0.001 | 11.814 | 7.648 | 6.066 | 5.210 | 4.665 | 4.284 | 4.000 | 3.781 | 3.604 | 3.460 | 3.338 | 3.235 | 3.145 | 3.068 | 2.999 | 2.938 |
| 70 | 0.05 | 3.978 | 3.128 | 2.736 | 2.503 | 2.346 | 2.231 | 2.144 | 2.074 | 2.017 | 1.969 | 1.928 | 1.893 | 1.863 | 1.836 | 1.812 | 1.790 |
| 0.01 | 7.011 | 4.922 | 4.074 | 3.600 | 3.291 | 3.071 | 2.906 | 2.777 | 2.672 | 2.585 | 2.512 | 2.450 | 2.395 | 2.348 | 2.306 | 2.268 |
| 0.001 | 11.799 | 7.637 | 6.057 | 5.201 | 4.656 | 4.275 | 3.992 | 3.773 | 3.597 | 3.452 | 3.331 | 3.227 | 3.138 | 3.060 | 2.991 | 2.930 |
| Degrees of Freedom: Denominator | α | Degrees of Freedom: Numerator |
| 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 |
| 71 | 0.05 | 3.976 | 3.126 | 2.734 | 2.501 | 2.344 | 2.229 | 2.142 | 2.072 | 2.015 | 1.967 | 1.926 | 1.891 | 1.861 | 1.834 | 1.810 | 1.788 |
| 0.01 | 7.006 | 4.917 | 4.070 | 3.596 | 3.287 | 3.067 | 2.902 | 2.773 | 2.668 | 2.581 | 2.508 | 2.446 | 2.391 | 2.344 | 2.302 | 2.264 |
| 0.001 | 11.785 | 7.626 | 6.047 | 5.192 | 4.648 | 4.267 | 3.984 | 3.765 | 3.589 | 3.444 | 3.323 | 3.220 | 3.131 | 3.053 | 2.984 | 2.923 |
| 72 | 0.05 | 3.974 | 3.124 | 2.732 | 2.499 | 2.342 | 2.228 | 2.140 | 2.070 | 2.013 | 1.965 | 1.924 | 1.889 | 1.859 | 1.832 | 1.808 | 1.786 |
| 0.01 | 7.001 | 4.913 | 4.066 | 3.592 | 3.283 | 3.063 | 2.898 | 2.769 | 2.664 | 2.578 | 2.505 | 2.442 | 2.388 | 2.340 | 2.298 | 2.260 |
| 0.001 | 11.771 | 7.615 | 6.038 | 5.184 | 4.640 | 4.260 | 3.977 | 3.757 | 3.582 | 3.437 | 3.316 | 3.213 | 3.124 | 3.046 | 2.977 | 2.916 |
| 73 | 0.05 | 3.972 | 3.122 | 2.730 | 2.497 | 2.340 | 2.226 | 2.138 | 2.068 | 2.011 | 1.963 | 1.923 | 1.887 | 1.857 | 1.830 | 1.806 | 1.784 |
| 0.01 | 6.995 | 4.908 | 4.062 | 3.588 | 3.279 | 3.060 | 2.895 | 2.765 | 2.661 | 2.574 | 2.501 | 2.438 | 2.384 | 2.336 | 2.294 | 2.257 |
| 0.001 | 11.757 | 7.605 | 6.029 | 5.175 | 4.632 | 4.252 | 3.969 | 3.750 | 3.575 | 3.430 | 3.309 | 3.206 | 3.117 | 3.039 | 2.970 | 2.909 |
| 74 | 0.05 | 3.970 | 3.120 | 2.728 | 2.495 | 2.338 | 2.224 | 2.136 | 2.066 | 2.009 | 1.961 | 1.921 | 1.886 | 1.855 | 1.828 | 1.804 | 1.782 |
| 0.01 | 6.990 | 4.904 | 4.058 | 3.584 | 3.275 | 3.056 | 2.891 | 2.762 | 2.657 | 2.570 | 2.497 | 2.435 | 2.380 | 2.333 | 2.291 | 2.253 |
| 0.001 | 11.744 | 7.595 | 6.020 | 5.167 | 4.624 | 4.245 | 3.962 | 3.743 | 3.568 | 3.423 | 3.302 | 3.199 | 3.110 | 3.032 | 2.964 | 2.903 |
| 75 | 0.05 | 3.968 | 3.119 | 2.727 | 2.494 | 2.337 | 2.222 | 2.134 | 2.065 | 2.007 | 1.960 | 1.919 | 1.884 | 1.853 | 1.826 | 1.802 | 1.780 |
| 0.01 | 6.985 | 4.900 | 4.054 | 3.580 | 3.272 | 3.053 | 2.888 | 2.758 | 2.654 | 2.567 | 2.494 | 2.431 | 2.377 | 2.329 | 2.287 | 2.249 |
| 0.001 | 11.731 | 7.585 | 6.011 | 5.159 | 4.617 | 4.237 | 3.955 | 3.736 | 3.561 | 3.417 | 3.296 | 3.193 | 3.103 | 3.026 | 2.957 | 2.896 |
| 76 | 0.05 | 3.967 | 3.117 | 2.725 | 2.492 | 2.335 | 2.221 | 2.133 | 2.063 | 2.006 | 1.958 | 1.917 | 1.882 | 1.851 | 1.824 | 1.800 | 1.779 |
| 0.01 | 6.981 | 4.896 | 4.050 | 3.577 | 3.268 | 3.049 | 2.884 | 2.755 | 2.650 | 2.564 | 2.490 | 2.428 | 2.374 | 2.326 | 2.284 | 2.246 |
| 0.001 | 11.718 | 7.576 | 6.003 | 5.152 | 4.610 | 4.230 | 3.949 | 3.730 | 3.554 | 3.410 | 3.289 | 3.186 | 3.097 | 3.019 | 2.951 | 2.890 |
| 77 | 0.05 | 3.965 | 3.115 | 2.723 | 2.491 | 2.333 | 2.219 | 2.131 | 2.061 | 2.004 | 1.956 | 1.915 | 1.880 | 1.850 | 1.822 | 1.798 | 1.777 |
| 0.01 | 6.976 | 4.892 | 4.047 | 3.573 | 3.265 | 3.046 | 2.881 | 2.751 | 2.647 | 2.560 | 2.487 | 2.425 | 2.370 | 2.323 | 2.280 | 2.243 |
| 0.001 | 11.706 | 7.566 | 5.995 | 5.144 | 4.602 | 4.224 | 3.942 | 3.723 | 3.548 | 3.404 | 3.283 | 3.180 | 3.091 | 3.013 | 2.945 | 2.884 |
| 78 | 0.05 | 3.963 | 3.114 | 2.722 | 2.489 | 2.332 | 2.217 | 2.129 | 2.060 | 2.002 | 1.954 | 1.914 | 1.879 | 1.848 | 1.821 | 1.797 | 1.775 |
| 0.01 | 6.971 | 4.888 | 4.043 | 3.570 | 3.262 | 3.042 | 2.878 | 2.748 | 2.644 | 2.557 | 2.484 | 2.421 | 2.367 | 2.319 | 2.277 | 2.239 |
| 0.001 | 11.694 | 7.557 | 5.987 | 5.137 | 4.596 | 4.217 | 3.936 | 3.717 | 3.542 | 3.398 | 3.277 | 3.174 | 3.085 | 3.007 | 2.939 | 2.878 |
| 79 | 0.05 | 3.962 | 3.112 | 2.720 | 2.487 | 2.330 | 2.216 | 2.128 | 2.058 | 2.001 | 1.953 | 1.912 | 1.877 | 1.846 | 1.819 | 1.795 | 1.773 |
| 0.01 | 6.967 | 4.884 | 4.040 | 3.566 | 3.258 | 3.039 | 2.874 | 2.745 | 2.641 | 2.554 | 2.481 | 2.418 | 2.364 | 2.316 | 2.274 | 2.236 |
| 0.001 | 11.683 | 7.549 | 5.980 | 5.130 | 4.589 | 4.211 | 3.929 | 3.711 | 3.536 | 3.392 | 3.271 | 3.168 | 3.079 | 3.002 | 2.933 | 2.872 |
| 80 | 0.05 | 3.960 | 3.111 | 2.719 | 2.486 | 2.329 | 2.214 | 2.126 | 2.056 | 1.999 | 1.951 | 1.911 | 1.875 | 1.845 | 1.817 | 1.793 | 1.772 |
| 0.01 | 6.963 | 4.881 | 4.036 | 3.563 | 3.255 | 3.036 | 2.871 | 2.742 | 2.637 | 2.551 | 2.478 | 2.415 | 2.361 | 2.313 | 2.271 | 2.233 |
| 0.001 | 11.671 | 7.540 | 5.972 | 5.123 | 4.583 | 4.204 | 3.923 | 3.705 | 3.530 | 3.386 | 3.265 | 3.162 | 3.074 | 2.996 | 2.928 | 2.867 |
| Degrees of Freedom: Denominator | α | Degrees of Freedom: Numerator |
| 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 |
| 81 | 0.05 | 3.959 | 3.109 | 2.717 | 2.485 | 2.327 | 2.213 | 2.125 | 2.055 | 1.998 | 1.950 | 1.909 | 1.874 | 1.843 | 1.816 | 1.792 | 1.770 |
| 0.01 | 6.958 | 4.877 | 4.033 | 3.560 | 3.252 | 3.033 | 2.868 | 2.739 | 2.635 | 2.548 | 2.475 | 2.412 | 2.358 | 2.310 | 2.268 | 2.230 |
| 0.001 | 11.660 | 7.532 | 5.965 | 5.117 | 4.576 | 4.198 | 3.917 | 3.699 | 3.524 | 3.380 | 3.260 | 3.157 | 3.068 | 2.991 | 2.922 | 2.861 |
| 82 | 0.05 | 3.957 | 3.108 | 2.716 | 2.483 | 2.326 | 2.211 | 2.124 | 2.054 | 1.996 | 1.948 | 1.908 | 1.872 | 1.842 | 1.814 | 1.790 | 1.768 |
| 0.01 | 6.954 | 4.874 | 4.030 | 3.557 | 3.249 | 3.030 | 2.865 | 2.736 | 2.632 | 2.545 | 2.472 | 2.409 | 2.355 | 2.307 | 2.265 | 2.227 |
| 0.001 | 11.650 | 7.524 | 5.958 | 5.110 | 4.570 | 4.192 | 3.912 | 3.694 | 3.519 | 3.375 | 3.254 | 3.152 | 3.063 | 2.985 | 2.917 | 2.856 |
| 83 | 0.05 | 3.956 | 3.107 | 2.715 | 2.482 | 2.325 | 2.210 | 2.122 | 2.052 | 1.995 | 1.947 | 1.906 | 1.871 | 1.840 | 1.813 | 1.789 | 1.767 |
| 0.01 | 6.950 | 4.871 | 4.027 | 3.554 | 3.246 | 3.027 | 2.863 | 2.733 | 2.629 | 2.542 | 2.469 | 2.407 | 2.352 | 2.305 | 2.262 | 2.225 |
| 0.001 | 11.639 | 7.516 | 5.951 | 5.104 | 4.564 | 4.187 | 3.906 | 3.688 | 3.513 | 3.370 | 3.249 | 3.146 | 3.058 | 2.980 | 2.912 | 2.851 |
| 84 | 0.05 | 3.955 | 3.105 | 2.713 | 2.480 | 2.323 | 2.209 | 2.121 | 2.051 | 1.993 | 1.945 | 1.905 | 1.869 | 1.839 | 1.811 | 1.787 | 1.765 |
| 0.01 | 6.947 | 4.867 | 4.024 | 3.551 | 3.243 | 3.025 | 2.860 | 2.731 | 2.626 | 2.540 | 2.466 | 2.404 | 2.349 | 2.302 | 2.260 | 2.222 |
| 0.001 | 11.629 | 7.508 | 5.945 | 5.098 | 4.558 | 4.181 | 3.901 | 3.683 | 3.508 | 3.364 | 3.244 | 3.141 | 3.052 | 2.975 | 2.907 | 2.846 |
| 85 | 0.05 | 3.953 | 3.104 | 2.712 | 2.479 | 2.322 | 2.207 | 2.119 | 2.049 | 1.992 | 1.944 | 1.903 | 1.868 | 1.837 | 1.810 | 1.786 | 1.764 |
| 0.01 | 6.943 | 4.864 | 4.021 | 3.548 | 3.241 | 3.022 | 2.857 | 2.728 | 2.623 | 2.537 | 2.464 | 2.401 | 2.347 | 2.299 | 2.257 | 2.219 |
| 0.001 | 11.619 | 7.501 | 5.938 | 5.092 | 4.553 | 4.176 | 3.895 | 3.677 | 3.503 | 3.359 | 3.239 | 3.136 | 3.048 | 2.970 | 2.902 | 2.841 |
| 86 | 0.05 | 3.952 | 3.103 | 2.711 | 2.478 | 2.321 | 2.206 | 2.118 | 2.048 | 1.991 | 1.943 | 1.902 | 1.867 | 1.836 | 1.809 | 1.784 | 1.763 |
| 0.01 | 6.939 | 4.861 | 4.018 | 3.546 | 3.238 | 3.019 | 2.855 | 2.725 | 2.621 | 2.534 | 2.461 | 2.399 | 2.344 | 2.296 | 2.254 | 2.216 |
| 0.001 | 11.610 | 7.494 | 5.932 | 5.086 | 4.547 | 4.170 | 3.890 | 3.672 | 3.498 | 3.354 | 3.234 | 3.131 | 3.043 | 2.965 | 2.897 | 2.836 |
| 87 | 0.05 | 3.951 | 3.101 | 2.710 | 2.477 | 2.319 | 2.205 | 2.117 | 2.047 | 1.989 | 1.941 | 1.901 | 1.865 | 1.834 | 1.807 | 1.783 | 1.761 |
| 0.01 | 6.935 | 4.858 | 4.015 | 3.543 | 3.235 | 3.017 | 2.852 | 2.723 | 2.618 | 2.532 | 2.459 | 2.396 | 2.342 | 2.294 | 2.252 | 2.214 |
| 0.001 | 11.600 | 7.487 | 5.925 | 5.080 | 4.542 | 4.165 | 3.885 | 3.667 | 3.493 | 3.349 | 3.229 | 3.127 | 3.038 | 2.961 | 2.892 | 2.831 |
| 88 | 0.05 | 3.949 | 3.100 | 2.708 | 2.475 | 2.318 | 2.204 | 2.116 | 2.046 | 1.988 | 1.940 | 1.899 | 1.864 | 1.833 | 1.806 | 1.782 | 1.760 |
| 0.01 | 6.932 | 4.855 | 4.012 | 3.540 | 3.233 | 3.014 | 2.849 | 2.720 | 2.616 | 2.529 | 2.456 | 2.394 | 2.339 | 2.291 | 2.249 | 2.211 |
| 0.001 | 11.591 | 7.480 | 5.919 | 5.074 | 4.536 | 4.160 | 3.880 | 3.663 | 3.488 | 3.345 | 3.224 | 3.122 | 3.033 | 2.956 | 2.888 | 2.827 |
| 89 | 0.05 | 3.948 | 3.099 | 2.707 | 2.474 | 2.317 | 2.202 | 2.114 | 2.044 | 1.987 | 1.939 | 1.898 | 1.863 | 1.832 | 1.805 | 1.780 | 1.759 |
| 0.01 | 6.929 | 4.852 | 4.010 | 3.538 | 3.230 | 3.012 | 2.847 | 2.718 | 2.613 | 2.527 | 2.454 | 2.391 | 2.337 | 2.289 | 2.247 | 2.209 |
| 0.001 | 11.582 | 7.473 | 5.914 | 5.069 | 4.531 | 4.155 | 3.875 | 3.658 | 3.484 | 3.340 | 3.220 | 3.117 | 3.029 | 2.951 | 2.883 | 2.822 |
| 90 | 0.05 | 3.947 | 3.098 | 2.706 | 2.473 | 2.316 | 2.201 | 2.113 | 2.043 | 1.986 | 1.938 | 1.897 | 1.861 | 1.831 | 1.803 | 1.779 | 1.757 |
| 0.01 | 6.925 | 4.849 | 4.007 | 3.535 | 3.228 | 3.009 | 2.845 | 2.715 | 2.611 | 2.524 | 2.451 | 2.389 | 2.334 | 2.287 | 2.244 | 2.207 |
| 0.001 | 11.573 | 7.466 | 5.908 | 5.064 | 4.526 | 4.150 | 3.870 | 3.653 | 3.479 | 3.336 | 3.215 | 3.113 | 3.024 | 2.947 | 2.879 | 2.818 |
| Degrees of Freedom: Denominator | α | Degrees of Freedom: Numerator |
| 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 |
| 91 | 0.05 | 3.946 | 3.097 | 2.705 | 2.472 | 2.315 | 2.200 | 2.112 | 2.042 | 1.985 | 1.936 | 1.896 | 1.860 | 1.829 | 1.802 | 1.778 | 1.756 |
| 0.01 | 6.922 | 4.846 | 4.004 | 3.533 | 3.225 | 3.007 | 2.842 | 2.713 | 2.609 | 2.522 | 2.449 | 2.386 | 2.332 | 2.284 | 2.242 | 2.204 |
| 0.001 | 11.565 | 7.460 | 5.902 | 5.059 | 4.521 | 4.145 | 3.866 | 3.649 | 3.475 | 3.331 | 3.211 | 3.109 | 3.020 | 2.943 | 2.875 | 2.814 |
| 92 | 0.05 | 3.945 | 3.096 | 2.704 | 2.471 | 2.314 | 2.199 | 2.111 | 2.041 | 1.983 | 1.935 | 1.894 | 1.859 | 1.828 | 1.801 | 1.777 | 1.755 |
| 0.01 | 6.919 | 4.844 | 4.002 | 3.530 | 3.223 | 3.005 | 2.840 | 2.711 | 2.606 | 2.520 | 2.447 | 2.384 | 2.330 | 2.282 | 2.240 | 2.202 |
| 0.001 | 11.556 | 7.453 | 5.897 | 5.053 | 4.516 | 4.141 | 3.861 | 3.644 | 3.470 | 3.327 | 3.207 | 3.104 | 3.016 | 2.939 | 2.870 | 2.810 |
| 93 | 0.05 | 3.943 | 3.094 | 2.703 | 2.470 | 2.312 | 2.198 | 2.110 | 2.040 | 1.982 | 1.934 | 1.893 | 1.858 | 1.827 | 1.800 | 1.775 | 1.754 |
| 0.01 | 6.915 | 4.841 | 4.000 | 3.528 | 3.221 | 3.002 | 2.838 | 2.709 | 2.604 | 2.518 | 2.445 | 2.382 | 2.328 | 2.280 | 2.237 | 2.200 |
| 0.001 | 11.548 | 7.447 | 5.891 | 5.049 | 4.512 | 4.136 | 3.857 | 3.640 | 3.466 | 3.323 | 3.203 | 3.100 | 3.012 | 2.935 | 2.866 | 2.806 |
| 94 | 0.05 | 3.942 | 3.093 | 2.702 | 2.469 | 2.311 | 2.197 | 2.109 | 2.039 | 1.981 | 1.933 | 1.892 | 1.857 | 1.826 | 1.798 | 1.774 | 1.752 |
| 0.01 | 6.912 | 4.838 | 3.997 | 3.526 | 3.218 | 3.000 | 2.836 | 2.706 | 2.602 | 2.515 | 2.442 | 2.380 | 2.325 | 2.278 | 2.235 | 2.197 |
| 0.001 | 11.540 | 7.441 | 5.886 | 5.044 | 4.507 | 4.132 | 3.853 | 3.636 | 3.462 | 3.319 | 3.199 | 3.096 | 3.008 | 2.931 | 2.862 | 2.802 |
| 95 | 0.05 | 3.941 | 3.092 | 2.701 | 2.468 | 2.310 | 2.196 | 2.108 | 2.037 | 1.980 | 1.932 | 1.891 | 1.856 | 1.825 | 1.797 | 1.773 | 1.751 |
| 0.01 | 6.909 | 4.836 | 3.995 | 3.523 | 3.216 | 2.998 | 2.833 | 2.704 | 2.600 | 2.513 | 2.440 | 2.378 | 2.323 | 2.275 | 2.233 | 2.195 |
| 0.001 | 11.532 | 7.435 | 5.881 | 5.039 | 4.503 | 4.127 | 3.848 | 3.632 | 3.458 | 3.315 | 3.195 | 3.092 | 3.004 | 2.927 | 2.858 | 2.798 |
| 96 | 0.05 | 3.940 | 3.091 | 2.699 | 2.467 | 2.309 | 2.195 | 2.107 | 2.036 | 1.979 | 1.931 | 1.890 | 1.855 | 1.824 | 1.796 | 1.772 | 1.750 |
| 0.01 | 6.906 | 4.833 | 3.992 | 3.521 | 3.214 | 2.996 | 2.831 | 2.702 | 2.598 | 2.511 | 2.438 | 2.376 | 2.321 | 2.273 | 2.231 | 2.193 |
| 0.001 | 11.524 | 7.430 | 5.876 | 5.034 | 4.498 | 4.123 | 3.844 | 3.628 | 3.454 | 3.311 | 3.191 | 3.089 | 3.000 | 2.923 | 2.855 | 2.794 |
| 97 | 0.05 | 3.939 | 3.090 | 2.698 | 2.466 | 2.308 | 2.194 | 2.106 | 2.035 | 1.978 | 1.930 | 1.889 | 1.853 | 1.822 | 1.795 | 1.771 | 1.749 |
| 0.01 | 6.904 | 4.831 | 3.990 | 3.519 | 3.212 | 2.994 | 2.829 | 2.700 | 2.596 | 2.509 | 2.436 | 2.374 | 2.319 | 2.271 | 2.229 | 2.191 |
| 0.001 | 11.517 | 7.424 | 5.871 | 5.030 | 4.494 | 4.119 | 3.840 | 3.624 | 3.450 | 3.307 | 3.187 | 3.085 | 2.996 | 2.919 | 2.851 | 2.790 |
| 98 | 0.05 | 3.938 | 3.089 | 2.698 | 2.465 | 2.307 | 2.193 | 2.105 | 2.034 | 1.977 | 1.929 | 1.888 | 1.852 | 1.821 | 1.794 | 1.770 | 1.748 |
| 0.01 | 6.901 | 4.829 | 3.988 | 3.517 | 3.210 | 2.992 | 2.827 | 2.698 | 2.594 | 2.507 | 2.434 | 2.372 | 2.317 | 2.269 | 2.227 | 2.189 |
| 0.001 | 11.510 | 7.418 | 5.866 | 5.025 | 4.490 | 4.115 | 3.836 | 3.620 | 3.446 | 3.303 | 3.183 | 3.081 | 2.993 | 2.916 | 2.847 | 2.787 |
| 99 | 0.05 | 3.937 | 3.088 | 2.697 | 2.464 | 2.306 | 2.192 | 2.104 | 2.033 | 1.976 | 1.928 | 1.887 | 1.851 | 1.820 | 1.793 | 1.769 | 1.747 |
| 0.01 | 6.898 | 4.826 | 3.986 | 3.515 | 3.208 | 2.990 | 2.825 | 2.696 | 2.592 | 2.505 | 2.432 | 2.370 | 2.315 | 2.267 | 2.225 | 2.187 |
| 0.001 | 11.502 | 7.413 | 5.861 | 5.021 | 4.486 | 4.111 | 3.832 | 3.616 | 3.442 | 3.300 | 3.180 | 3.077 | 2.989 | 2.912 | 2.844 | 2.783 |
| 100 | 0.05 | 3.936 | 3.087 | 2.696 | 2.463 | 2.305 | 2.191 | 2.103 | 2.032 | 1.975 | 1.927 | 1.886 | 1.850 | 1.819 | 1.792 | 1.768 | 1.746 |
| 0.01 | 6.895 | 4.824 | 3.984 | 3.513 | 3.206 | 2.988 | 2.823 | 2.694 | 2.590 | 2.503 | 2.430 | 2.368 | 2.313 | 2.265 | 2.223 | 2.185 |
| 0.001 | 11.495 | 7.408 | 5.857 | 5.017 | 4.482 | 4.107 | 3.829 | 3.612 | 3.439 | 3.296 | 3.176 | 3.074 | 2.986 | 2.908 | 2.840 | 2.780 |
| Degrees of Freedom: Denominator | α | Degrees of Freedom: Numerator |
| 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 |
| 101 | 0.05 | 3.935 | 3.086 | 2.695 | 2.462 | 2.304 | 2.190 | 2.102 | 2.031 | 1.974 | 1.926 | 1.885 | 1.849 | 1.818 | 1.791 | 1.767 | 1.745 |
| 0.01 | 6.893 | 4.822 | 3.982 | 3.511 | 3.204 | 2.986 | 2.822 | 2.692 | 2.588 | 2.502 | 2.428 | 2.366 | 2.311 | 2.264 | 2.221 | 2.183 |
| 0.001 | 11.489 | 7.403 | 5.852 | 5.013 | 4.478 | 4.103 | 3.825 | 3.609 | 3.435 | 3.292 | 3.173 | 3.071 | 2.982 | 2.905 | 2.837 | 2.776 |
| 102 | 0.05 | 3.934 | 3.086 | 2.694 | 2.461 | 2.304 | 2.189 | 2.101 | 2.031 | 1.973 | 1.925 | 1.884 | 1.848 | 1.817 | 1.790 | 1.766 | 1.744 |
| 0.01 | 6.890 | 4.820 | 3.980 | 3.509 | 3.202 | 2.984 | 2.820 | 2.691 | 2.586 | 2.500 | 2.427 | 2.364 | 2.310 | 2.262 | 2.219 | 2.182 |
| 0.001 | 11.482 | 7.398 | 5.848 | 5.009 | 4.474 | 4.100 | 3.821 | 3.605 | 3.432 | 3.289 | 3.169 | 3.067 | 2.979 | 2.902 | 2.834 | 2.773 |
| 103 | 0.05 | 3.933 | 3.085 | 2.693 | 2.460 | 2.303 | 2.188 | 2.100 | 2.030 | 1.972 | 1.924 | 1.883 | 1.847 | 1.816 | 1.789 | 1.765 | 1.743 |
| 0.01 | 6.888 | 4.817 | 3.978 | 3.507 | 3.200 | 2.982 | 2.818 | 2.689 | 2.584 | 2.498 | 2.425 | 2.362 | 2.308 | 2.260 | 2.218 | 2.180 |
| 0.001 | 11.475 | 7.393 | 5.844 | 5.005 | 4.470 | 4.096 | 3.818 | 3.602 | 3.428 | 3.286 | 3.166 | 3.064 | 2.976 | 2.898 | 2.830 | 2.770 |
| 104 | 0.05 | 3.932 | 3.084 | 2.692 | 2.459 | 2.302 | 2.187 | 2.099 | 2.029 | 1.971 | 1.923 | 1.882 | 1.847 | 1.816 | 1.788 | 1.764 | 1.742 |
| 0.01 | 6.885 | 4.815 | 3.976 | 3.505 | 3.198 | 2.980 | 2.816 | 2.687 | 2.583 | 2.496 | 2.423 | 2.360 | 2.306 | 2.258 | 2.216 | 2.178 |
| 0.001 | 11.469 | 7.388 | 5.839 | 5.001 | 4.466 | 4.093 | 3.814 | 3.598 | 3.425 | 3.282 | 3.163 | 3.061 | 2.972 | 2.895 | 2.827 | 2.766 |
| 105 | 0.05 | 3.932 | 3.083 | 2.691 | 2.458 | 2.301 | 2.186 | 2.098 | 2.028 | 1.970 | 1.922 | 1.881 | 1.846 | 1.815 | 1.787 | 1.763 | 1.741 |
| 0.01 | 6.883 | 4.813 | 3.974 | 3.503 | 3.197 | 2.979 | 2.814 | 2.685 | 2.581 | 2.494 | 2.421 | 2.359 | 2.304 | 2.256 | 2.214 | 2.176 |
| 0.001 | 11.462 | 7.383 | 5.835 | 4.997 | 4.463 | 4.089 | 3.811 | 3.595 | 3.422 | 3.279 | 3.159 | 3.057 | 2.969 | 2.892 | 2.824 | 2.763 |
| 106 | 0.05 | 3.931 | 3.082 | 2.690 | 2.457 | 2.300 | 2.185 | 2.097 | 2.027 | 1.969 | 1.921 | 1.880 | 1.845 | 1.814 | 1.786 | 1.762 | 1.740 |
| 0.01 | 6.880 | 4.811 | 3.972 | 3.501 | 3.195 | 2.977 | 2.813 | 2.684 | 2.579 | 2.493 | 2.420 | 2.357 | 2.303 | 2.255 | 2.212 | 2.175 |
| 0.001 | 11.456 | 7.378 | 5.831 | 4.993 | 4.459 | 4.086 | 3.808 | 3.592 | 3.418 | 3.276 | 3.156 | 3.054 | 2.966 | 2.889 | 2.821 | 2.760 |
| 107 | 0.05 | 3.930 | 3.081 | 2.690 | 2.457 | 2.299 | 2.185 | 2.096 | 2.026 | 1.969 | 1.920 | 1.879 | 1.844 | 1.813 | 1.785 | 1.761 | 1.739 |
| 0.01 | 6.878 | 4.809 | 3.970 | 3.500 | 3.193 | 2.975 | 2.811 | 2.682 | 2.578 | 2.491 | 2.418 | 2.355 | 2.301 | 2.253 | 2.211 | 2.173 |
| 0.001 | 11.450 | 7.374 | 5.827 | 4.989 | 4.456 | 4.082 | 3.804 | 3.589 | 3.415 | 3.273 | 3.153 | 3.051 | 2.963 | 2.886 | 2.818 | 2.757 |
| 108 | 0.05 | 3.929 | 3.080 | 2.689 | 2.456 | 2.299 | 2.184 | 2.096 | 2.025 | 1.968 | 1.920 | 1.878 | 1.843 | 1.812 | 1.784 | 1.760 | 1.738 |
| 0.01 | 6.876 | 4.807 | 3.968 | 3.498 | 3.192 | 2.974 | 2.809 | 2.680 | 2.576 | 2.489 | 2.416 | 2.354 | 2.299 | 2.251 | 2.209 | 2.171 |
| 0.001 | 11.444 | 7.369 | 5.823 | 4.986 | 4.452 | 4.079 | 3.801 | 3.585 | 3.412 | 3.270 | 3.150 | 3.048 | 2.960 | 2.883 | 2.815 | 2.754 |
| 109 | 0.05 | 3.928 | 3.080 | 2.688 | 2.455 | 2.298 | 2.183 | 2.095 | 2.025 | 1.967 | 1.919 | 1.878 | 1.842 | 1.811 | 1.784 | 1.759 | 1.737 |
| 0.01 | 6.873 | 4.805 | 3.967 | 3.496 | 3.190 | 2.972 | 2.808 | 2.679 | 2.574 | 2.488 | 2.415 | 2.352 | 2.298 | 2.250 | 2.207 | 2.170 |
| 0.001 | 11.438 | 7.365 | 5.819 | 4.982 | 4.449 | 4.076 | 3.798 | 3.582 | 3.409 | 3.267 | 3.147 | 3.045 | 2.957 | 2.880 | 2.812 | 2.751 |
| 110 | 0.05 | 3.927 | 3.079 | 2.687 | 2.454 | 2.297 | 2.182 | 2.094 | 2.024 | 1.966 | 1.918 | 1.877 | 1.841 | 1.810 | 1.783 | 1.758 | 1.736 |
| 0.01 | 6.871 | 4.804 | 3.965 | 3.495 | 3.188 | 2.970 | 2.806 | 2.677 | 2.573 | 2.486 | 2.413 | 2.351 | 2.296 | 2.248 | 2.206 | 2.168 |
| 0.001 | 11.432 | 7.360 | 5.816 | 4.979 | 4.446 | 4.073 | 3.795 | 3.579 | 3.406 | 3.264 | 3.144 | 3.042 | 2.954 | 2.877 | 2.809 | 2.749 |
| Degrees of Freedom: Denominator | α | Degrees of Freedom: Numerator |
| 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 |
| 111 | 0.05 | 3.927 | 3.078 | 2.686 | 2.454 | 2.296 | 2.181 | 2.093 | 2.023 | 1.965 | 1.917 | 1.876 | 1.840 | 1.809 | 1.782 | 1.757 | 1.736 |
| 0.01 | 6.869 | 4.802 | 3.963 | 3.493 | 3.187 | 2.969 | 2.805 | 2.676 | 2.571 | 2.485 | 2.412 | 2.349 | 2.295 | 2.247 | 2.204 | 2.166 |
| 0.001 | 11.427 | 7.356 | 5.812 | 4.975 | 4.442 | 4.069 | 3.792 | 3.576 | 3.403 | 3.261 | 3.141 | 3.040 | 2.951 | 2.874 | 2.806 | 2.746 |
| 112 | 0.05 | 3.926 | 3.077 | 2.686 | 2.453 | 2.295 | 2.181 | 2.092 | 2.022 | 1.965 | 1.916 | 1.875 | 1.840 | 1.809 | 1.781 | 1.757 | 1.735 |
| 0.01 | 6.867 | 4.800 | 3.962 | 3.491 | 3.185 | 2.967 | 2.803 | 2.674 | 2.570 | 2.483 | 2.410 | 2.348 | 2.293 | 2.245 | 2.203 | 2.165 |
| 0.001 | 11.421 | 7.352 | 5.808 | 4.972 | 4.439 | 4.066 | 3.789 | 3.573 | 3.400 | 3.258 | 3.139 | 3.037 | 2.949 | 2.872 | 2.804 | 2.743 |
| 113 | 0.05 | 3.925 | 3.077 | 2.685 | 2.452 | 2.295 | 2.180 | 2.092 | 2.021 | 1.964 | 1.916 | 1.874 | 1.839 | 1.808 | 1.780 | 1.756 | 1.734 |
| 0.01 | 6.865 | 4.798 | 3.960 | 3.490 | 3.184 | 2.966 | 2.802 | 2.673 | 2.568 | 2.482 | 2.409 | 2.346 | 2.292 | 2.244 | 2.201 | 2.163 |
| 0.001 | 11.416 | 7.348 | 5.805 | 4.969 | 4.436 | 4.063 | 3.786 | 3.571 | 3.398 | 3.255 | 3.136 | 3.034 | 2.946 | 2.869 | 2.801 | 2.740 |
| 114 | 0.05 | 3.924 | 3.076 | 2.684 | 2.451 | 2.294 | 2.179 | 2.091 | 2.021 | 1.963 | 1.915 | 1.874 | 1.838 | 1.807 | 1.780 | 1.755 | 1.733 |
| 0.01 | 6.863 | 4.796 | 3.958 | 3.488 | 3.182 | 2.964 | 2.800 | 2.671 | 2.567 | 2.480 | 2.407 | 2.345 | 2.290 | 2.242 | 2.200 | 2.162 |
| 0.001 | 11.410 | 7.344 | 5.801 | 4.965 | 4.433 | 4.060 | 3.783 | 3.568 | 3.395 | 3.253 | 3.133 | 3.031 | 2.943 | 2.866 | 2.798 | 2.738 |
| 115 | 0.05 | 3.924 | 3.075 | 2.684 | 2.451 | 2.293 | 2.178 | 2.090 | 2.020 | 1.962 | 1.914 | 1.873 | 1.837 | 1.806 | 1.779 | 1.754 | 1.732 |
| 0.01 | 6.861 | 4.795 | 3.957 | 3.487 | 3.181 | 2.963 | 2.799 | 2.670 | 2.565 | 2.479 | 2.406 | 2.343 | 2.289 | 2.241 | 2.198 | 2.161 |
| 0.001 | 11.405 | 7.340 | 5.798 | 4.962 | 4.430 | 4.058 | 3.780 | 3.565 | 3.392 | 3.250 | 3.131 | 3.029 | 2.941 | 2.864 | 2.796 | 2.735 |
| 116 | 0.05 | 3.923 | 3.075 | 2.683 | 2.450 | 2.293 | 2.178 | 2.090 | 2.019 | 1.962 | 1.913 | 1.872 | 1.837 | 1.806 | 1.778 | 1.754 | 1.732 |
| 0.01 | 6.859 | 4.793 | 3.955 | 3.485 | 3.179 | 2.961 | 2.797 | 2.668 | 2.564 | 2.478 | 2.404 | 2.342 | 2.287 | 2.239 | 2.197 | 2.159 |
| 0.001 | 11.400 | 7.336 | 5.794 | 4.959 | 4.427 | 4.055 | 3.778 | 3.562 | 3.390 | 3.247 | 3.128 | 3.026 | 2.938 | 2.861 | 2.793 | 2.733 |
| 117 | 0.05 | 3.922 | 3.074 | 2.682 | 2.449 | 2.292 | 2.177 | 2.089 | 2.019 | 1.961 | 1.913 | 1.871 | 1.836 | 1.805 | 1.777 | 1.753 | 1.731 |
| 0.01 | 6.857 | 4.791 | 3.954 | 3.484 | 3.178 | 2.960 | 2.796 | 2.667 | 2.563 | 2.476 | 2.403 | 2.340 | 2.286 | 2.238 | 2.196 | 2.158 |
| 0.001 | 11.395 | 7.332 | 5.791 | 4.956 | 4.424 | 4.052 | 3.775 | 3.560 | 3.387 | 3.245 | 3.125 | 3.024 | 2.936 | 2.859 | 2.791 | 2.730 |
| 118 | 0.05 | 3.921 | 3.073 | 2.682 | 2.449 | 2.291 | 2.176 | 2.088 | 2.018 | 1.960 | 1.912 | 1.871 | 1.835 | 1.804 | 1.777 | 1.752 | 1.730 |
| 0.01 | 6.855 | 4.790 | 3.952 | 3.482 | 3.176 | 2.959 | 2.795 | 2.666 | 2.561 | 2.475 | 2.402 | 2.339 | 2.285 | 2.237 | 2.194 | 2.156 |
| 0.001 | 11.390 | 7.328 | 5.788 | 4.953 | 4.421 | 4.049 | 3.772 | 3.557 | 3.384 | 3.242 | 3.123 | 3.021 | 2.933 | 2.856 | 2.788 | 2.728 |
| 119 | 0.05 | 3.921 | 3.073 | 2.681 | 2.448 | 2.291 | 2.176 | 2.088 | 2.017 | 1.960 | 1.911 | 1.870 | 1.834 | 1.803 | 1.776 | 1.751 | 1.729 |
| 0.01 | 6.853 | 4.788 | 3.951 | 3.481 | 3.175 | 2.957 | 2.793 | 2.664 | 2.560 | 2.473 | 2.400 | 2.338 | 2.283 | 2.235 | 2.193 | 2.155 |
| 0.001 | 11.385 | 7.325 | 5.785 | 4.950 | 4.419 | 4.046 | 3.770 | 3.554 | 3.382 | 3.240 | 3.120 | 3.019 | 2.931 | 2.854 | 2.786 | 2.725 |
| 120 | 0.05 | 3.920 | 3.072 | 2.680 | 2.447 | 2.290 | 2.175 | 2.087 | 2.017 | 1.959 | 1.911 | 1.869 | 1.834 | 1.803 | 1.775 | 1.751 | 1.729 |
| 0.01 | 6.851 | 4.787 | 3.949 | 3.480 | 3.174 | 2.956 | 2.792 | 2.663 | 2.559 | 2.472 | 2.399 | 2.336 | 2.282 | 2.234 | 2.192 | 2.154 |
| 0.001 | 11.380 | 7.321 | 5.781 | 4.947 | 4.416 | 4.044 | 3.767 | 3.552 | 3.379 | 3.237 | 3.118 | 3.016 | 2.928 | 2.851 | 2.783 | 2.723 |
| Degrees of Freedom: Denominator | α | Degrees of Freedom: Numerator |
| 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 |
| 121 | 0.05 | 3.919 | 3.071 | 2.680 | 2.447 | 2.289 | 2.174 | 2.086 | 2.016 | 1.958 | 1.910 | 1.869 | 1.833 | 1.802 | 1.774 | 1.750 | 1.728 |
| 0.01 | 6.849 | 4.785 | 3.948 | 3.478 | 3.172 | 2.955 | 2.791 | 2.662 | 2.557 | 2.471 | 2.398 | 2.335 | 2.281 | 2.233 | 2.190 | 2.152 |
| 0.001 | 11.375 | 7.318 | 5.778 | 4.944 | 4.413 | 4.041 | 3.765 | 3.550 | 3.377 | 3.235 | 3.116 | 3.014 | 2.926 | 2.849 | 2.781 | 2.721 |
| 122 | 0.05 | 3.919 | 3.071 | 2.679 | 2.446 | 2.289 | 2.174 | 2.086 | 2.015 | 1.958 | 1.909 | 1.868 | 1.832 | 1.801 | 1.774 | 1.749 | 1.727 |
| 0.01 | 6.847 | 4.784 | 3.946 | 3.477 | 3.171 | 2.953 | 2.789 | 2.660 | 2.556 | 2.470 | 2.397 | 2.334 | 2.279 | 2.231 | 2.189 | 2.151 |
| 0.001 | 11.371 | 7.314 | 5.775 | 4.942 | 4.410 | 4.039 | 3.762 | 3.547 | 3.375 | 3.232 | 3.113 | 3.012 | 2.924 | 2.847 | 2.779 | 2.718 |
| 123 | 0.05 | 3.918 | 3.070 | 2.678 | 2.445 | 2.288 | 2.173 | 2.085 | 2.015 | 1.957 | 1.909 | 1.867 | 1.832 | 1.801 | 1.773 | 1.749 | 1.726 |
| 0.01 | 6.846 | 4.782 | 3.945 | 3.476 | 3.170 | 2.952 | 2.788 | 2.659 | 2.555 | 2.468 | 2.395 | 2.333 | 2.278 | 2.230 | 2.188 | 2.150 |
| 0.001 | 11.366 | 7.311 | 5.772 | 4.939 | 4.408 | 4.036 | 3.760 | 3.545 | 3.372 | 3.230 | 3.111 | 3.009 | 2.921 | 2.844 | 2.777 | 2.716 |
| 124 | 0.05 | 3.918 | 3.069 | 2.678 | 2.445 | 2.287 | 2.173 | 2.084 | 2.014 | 1.956 | 1.908 | 1.867 | 1.831 | 1.800 | 1.772 | 1.748 | 1.726 |
| 0.01 | 6.844 | 4.781 | 3.944 | 3.474 | 3.168 | 2.951 | 2.787 | 2.658 | 2.554 | 2.467 | 2.394 | 2.331 | 2.277 | 2.229 | 2.187 | 2.149 |
| 0.001 | 11.362 | 7.307 | 5.769 | 4.936 | 4.405 | 4.034 | 3.757 | 3.542 | 3.370 | 3.228 | 3.109 | 3.007 | 2.919 | 2.842 | 2.774 | 2.714 |
| 125 | 0.05 | 3.917 | 3.069 | 2.677 | 2.444 | 2.287 | 2.172 | 2.084 | 2.013 | 1.956 | 1.907 | 1.866 | 1.830 | 1.799 | 1.772 | 1.747 | 1.725 |
| 0.01 | 6.842 | 4.779 | 3.942 | 3.473 | 3.167 | 2.950 | 2.786 | 2.657 | 2.552 | 2.466 | 2.393 | 2.330 | 2.276 | 2.228 | 2.185 | 2.147 |
| 0.001 | 11.357 | 7.304 | 5.766 | 4.933 | 4.403 | 4.031 | 3.755 | 3.540 | 3.368 | 3.226 | 3.106 | 3.005 | 2.917 | 2.840 | 2.772 | 2.712 |
| 126 | 0.05 | 3.916 | 3.068 | 2.677 | 2.444 | 2.286 | 2.171 | 2.083 | 2.013 | 1.955 | 1.907 | 1.865 | 1.830 | 1.799 | 1.771 | 1.747 | 1.724 |
| 0.01 | 6.840 | 4.778 | 3.941 | 3.472 | 3.166 | 2.948 | 2.784 | 2.656 | 2.551 | 2.465 | 2.392 | 2.329 | 2.274 | 2.227 | 2.184 | 2.146 |
| 0.001 | 11.353 | 7.301 | 5.764 | 4.931 | 4.400 | 4.029 | 3.753 | 3.538 | 3.365 | 3.223 | 3.104 | 3.003 | 2.915 | 2.838 | 2.770 | 2.710 |
| 127 | 0.05 | 3.916 | 3.068 | 2.676 | 2.443 | 2.286 | 2.171 | 2.083 | 2.012 | 1.954 | 1.906 | 1.865 | 1.829 | 1.798 | 1.770 | 1.746 | 1.724 |
| 0.01 | 6.839 | 4.776 | 3.940 | 3.471 | 3.165 | 2.947 | 2.783 | 2.654 | 2.550 | 2.464 | 2.391 | 2.328 | 2.273 | 2.225 | 2.183 | 2.145 |
| 0.001 | 11.349 | 7.298 | 5.761 | 4.928 | 4.398 | 4.027 | 3.750 | 3.536 | 3.363 | 3.221 | 3.102 | 3.001 | 2.913 | 2.836 | 2.768 | 2.707 |
| 128 | 0.05 | 3.915 | 3.067 | 2.675 | 2.443 | 2.285 | 2.170 | 2.082 | 2.012 | 1.954 | 1.906 | 1.864 | 1.829 | 1.797 | 1.770 | 1.745 | 1.723 |
| 0.01 | 6.837 | 4.775 | 3.938 | 3.469 | 3.164 | 2.946 | 2.782 | 2.653 | 2.549 | 2.462 | 2.389 | 2.327 | 2.272 | 2.224 | 2.182 | 2.144 |
| 0.001 | 11.345 | 7.294 | 5.758 | 4.926 | 4.395 | 4.024 | 3.748 | 3.533 | 3.361 | 3.219 | 3.100 | 2.998 | 2.911 | 2.834 | 2.766 | 2.705 |
| 129 | 0.05 | 3.915 | 3.066 | 2.675 | 2.442 | 2.285 | 2.170 | 2.081 | 2.011 | 1.953 | 1.905 | 1.864 | 1.828 | 1.797 | 1.769 | 1.745 | 1.723 |
| 0.01 | 6.835 | 4.774 | 3.937 | 3.468 | 3.162 | 2.945 | 2.781 | 2.652 | 2.548 | 2.461 | 2.388 | 2.326 | 2.271 | 2.223 | 2.181 | 2.143 |
| 0.001 | 11.340 | 7.291 | 5.755 | 4.923 | 4.393 | 4.022 | 3.746 | 3.531 | 3.359 | 3.217 | 3.098 | 2.996 | 2.908 | 2.832 | 2.764 | 2.703 |
| 130 | 0.05 | 3.914 | 3.066 | 2.674 | 2.441 | 2.284 | 2.169 | 2.081 | 2.010 | 1.953 | 1.904 | 1.863 | 1.827 | 1.796 | 1.769 | 1.744 | 1.722 |
| 0.01 | 6.834 | 4.772 | 3.936 | 3.467 | 3.161 | 2.944 | 2.780 | 2.651 | 2.547 | 2.460 | 2.387 | 2.324 | 2.270 | 2.222 | 2.180 | 2.142 |
| 0.001 | 11.336 | 7.288 | 5.753 | 4.921 | 4.391 | 4.020 | 3.744 | 3.529 | 3.357 | 3.215 | 3.096 | 2.994 | 2.906 | 2.830 | 2.762 | 2.701 |
| Degrees of Freedom: Denominator | α | Degrees of Freedom: Numerator |
| 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 |
| 131 | 0.05 | 3.913 | 3.065 | 2.674 | 2.441 | 2.283 | 2.169 | 2.080 | 2.010 | 1.952 | 1.904 | 1.863 | 1.827 | 1.796 | 1.768 | 1.743 | 1.721 |
| 0.01 | 6.832 | 4.771 | 3.935 | 3.466 | 3.160 | 2.943 | 2.779 | 2.650 | 2.546 | 2.459 | 2.386 | 2.323 | 2.269 | 2.221 | 2.178 | 2.140 |
| 0.001 | 11.332 | 7.285 | 5.750 | 4.918 | 4.388 | 4.018 | 3.742 | 3.527 | 3.355 | 3.213 | 3.094 | 2.992 | 2.904 | 2.828 | 2.760 | 2.699 |
| 132 | 0.05 | 3.913 | 3.065 | 2.673 | 2.440 | 2.283 | 2.168 | 2.080 | 2.009 | 1.952 | 1.903 | 1.862 | 1.826 | 1.795 | 1.767 | 1.743 | 1.721 |
| 0.01 | 6.831 | 4.770 | 3.934 | 3.465 | 3.159 | 2.942 | 2.778 | 2.649 | 2.545 | 2.458 | 2.385 | 2.322 | 2.268 | 2.220 | 2.177 | 2.139 |
| 0.001 | 11.328 | 7.282 | 5.747 | 4.916 | 4.386 | 4.015 | 3.739 | 3.525 | 3.353 | 3.211 | 3.092 | 2.990 | 2.903 | 2.826 | 2.758 | 2.697 |
| 133 | 0.05 | 3.912 | 3.064 | 2.673 | 2.440 | 2.282 | 2.168 | 2.079 | 2.009 | 1.951 | 1.903 | 1.861 | 1.826 | 1.795 | 1.767 | 1.742 | 1.720 |
| 0.01 | 6.829 | 4.768 | 3.932 | 3.464 | 3.158 | 2.941 | 2.777 | 2.648 | 2.544 | 2.457 | 2.384 | 2.321 | 2.267 | 2.219 | 2.176 | 2.138 |
| 0.001 | 11.324 | 7.279 | 5.745 | 4.914 | 4.384 | 4.013 | 3.737 | 3.523 | 3.351 | 3.209 | 3.090 | 2.988 | 2.901 | 2.824 | 2.756 | 2.696 |
| 134 | 0.05 | 3.912 | 3.064 | 2.672 | 2.439 | 2.282 | 2.167 | 2.079 | 2.008 | 1.951 | 1.902 | 1.861 | 1.825 | 1.794 | 1.766 | 1.742 | 1.720 |
| 0.01 | 6.828 | 4.767 | 3.931 | 3.462 | 3.157 | 2.939 | 2.776 | 2.647 | 2.542 | 2.456 | 2.383 | 2.320 | 2.266 | 2.218 | 2.175 | 2.137 |
| 0.001 | 11.321 | 7.277 | 5.742 | 4.911 | 4.382 | 4.011 | 3.735 | 3.521 | 3.349 | 3.207 | 3.088 | 2.987 | 2.899 | 2.822 | 2.754 | 2.694 |
| 135 | 0.05 | 3.911 | 3.063 | 2.672 | 2.439 | 2.281 | 2.166 | 2.078 | 2.008 | 1.950 | 1.902 | 1.860 | 1.825 | 1.793 | 1.766 | 1.741 | 1.719 |
| 0.01 | 6.826 | 4.766 | 3.930 | 3.461 | 3.156 | 2.938 | 2.774 | 2.646 | 2.541 | 2.455 | 2.382 | 2.319 | 2.265 | 2.217 | 2.174 | 2.136 |
| 0.001 | 11.317 | 7.274 | 5.740 | 4.909 | 4.380 | 4.009 | 3.733 | 3.519 | 3.347 | 3.205 | 3.086 | 2.985 | 2.897 | 2.820 | 2.752 | 2.692 |
| 136 | 0.05 | 3.911 | 3.063 | 2.671 | 2.438 | 2.281 | 2.166 | 2.078 | 2.007 | 1.949 | 1.901 | 1.860 | 1.824 | 1.793 | 1.765 | 1.741 | 1.718 |
| 0.01 | 6.825 | 4.765 | 3.929 | 3.460 | 3.155 | 2.937 | 2.773 | 2.645 | 2.540 | 2.454 | 2.381 | 2.318 | 2.264 | 2.216 | 2.173 | 2.135 |
| 0.001 | 11.313 | 7.271 | 5.738 | 4.907 | 4.378 | 4.007 | 3.731 | 3.517 | 3.345 | 3.203 | 3.084 | 2.983 | 2.895 | 2.818 | 2.750 | 2.690 |
| 137 | 0.05 | 3.910 | 3.062 | 2.671 | 2.438 | 2.280 | 2.165 | 2.077 | 2.007 | 1.949 | 1.901 | 1.859 | 1.824 | 1.792 | 1.765 | 1.740 | 1.718 |
| 0.01 | 6.824 | 4.764 | 3.928 | 3.459 | 3.154 | 2.936 | 2.772 | 2.644 | 2.539 | 2.453 | 2.380 | 2.317 | 2.263 | 2.215 | 2.172 | 2.134 |
| 0.001 | 11.309 | 7.268 | 5.735 | 4.905 | 4.375 | 4.005 | 3.729 | 3.515 | 3.343 | 3.201 | 3.082 | 2.981 | 2.893 | 2.816 | 2.749 | 2.688 |
| 138 | 0.05 | 3.910 | 3.062 | 2.670 | 2.437 | 2.280 | 2.165 | 2.077 | 2.006 | 1.948 | 1.900 | 1.859 | 1.823 | 1.792 | 1.764 | 1.740 | 1.717 |
| 0.01 | 6.822 | 4.762 | 3.927 | 3.458 | 3.153 | 2.935 | 2.771 | 2.643 | 2.538 | 2.452 | 2.379 | 2.316 | 2.262 | 2.214 | 2.171 | 2.133 |
| 0.001 | 11.306 | 7.265 | 5.733 | 4.903 | 4.373 | 4.003 | 3.727 | 3.513 | 3.341 | 3.200 | 3.081 | 2.979 | 2.891 | 2.815 | 2.747 | 2.686 |
| 139 | 0.05 | 3.909 | 3.061 | 2.670 | 2.437 | 2.279 | 2.165 | 2.076 | 2.006 | 1.948 | 1.900 | 1.858 | 1.823 | 1.791 | 1.764 | 1.739 | 1.717 |
| 0.01 | 6.821 | 4.761 | 3.926 | 3.457 | 3.152 | 2.934 | 2.771 | 2.642 | 2.538 | 2.451 | 2.378 | 2.315 | 2.261 | 2.213 | 2.170 | 2.132 |
| 0.001 | 11.302 | 7.263 | 5.731 | 4.900 | 4.371 | 4.001 | 3.726 | 3.511 | 3.339 | 3.198 | 3.079 | 2.977 | 2.890 | 2.813 | 2.745 | 2.685 |
| 140 | 0.05 | 3.909 | 3.061 | 2.669 | 2.436 | 2.279 | 2.164 | 2.076 | 2.005 | 1.947 | 1.899 | 1.858 | 1.822 | 1.791 | 1.763 | 1.738 | 1.716 |
| 0.01 | 6.819 | 4.760 | 3.925 | 3.456 | 3.151 | 2.933 | 2.770 | 2.641 | 2.537 | 2.450 | 2.377 | 2.314 | 2.260 | 2.212 | 2.169 | 2.131 |
| 0.001 | 11.299 | 7.260 | 5.728 | 4.898 | 4.369 | 3.999 | 3.724 | 3.510 | 3.338 | 3.196 | 3.077 | 2.976 | 2.888 | 2.811 | 2.743 | 2.683 |
| Degrees of Freedom: Denominator | α | Degrees of Freedom: Numerator |
| 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 |
| 141 | 0.05 | 3.908 | 3.060 | 2.669 | 2.436 | 2.279 | 2.164 | 2.075 | 2.005 | 1.947 | 1.899 | 1.857 | 1.822 | 1.790 | 1.763 | 1.738 | 1.716 |
| 0.01 | 6.818 | 4.759 | 3.924 | 3.455 | 3.150 | 2.932 | 2.769 | 2.640 | 2.536 | 2.449 | 2.376 | 2.313 | 2.259 | 2.211 | 2.168 | 2.130 |
| 0.001 | 11.295 | 7.258 | 5.726 | 4.896 | 4.367 | 3.997 | 3.722 | 3.508 | 3.336 | 3.194 | 3.075 | 2.974 | 2.886 | 2.809 | 2.742 | 2.681 |
| 142 | 0.05 | 3.908 | 3.060 | 2.668 | 2.435 | 2.278 | 2.163 | 2.075 | 2.004 | 1.946 | 1.898 | 1.857 | 1.821 | 1.790 | 1.762 | 1.737 | 1.715 |
| 0.01 | 6.817 | 4.758 | 3.923 | 3.454 | 3.149 | 2.932 | 2.768 | 2.639 | 2.535 | 2.448 | 2.375 | 2.312 | 2.258 | 2.210 | 2.167 | 2.129 |
| 0.001 | 11.292 | 7.255 | 5.724 | 4.894 | 4.366 | 3.996 | 3.720 | 3.506 | 3.334 | 3.193 | 3.074 | 2.972 | 2.885 | 2.808 | 2.740 | 2.680 |
| 143 | 0.05 | 3.907 | 3.059 | 2.668 | 2.435 | 2.278 | 2.163 | 2.074 | 2.004 | 1.946 | 1.898 | 1.856 | 1.821 | 1.789 | 1.762 | 1.737 | 1.715 |
| 0.01 | 6.815 | 4.757 | 3.922 | 3.453 | 3.148 | 2.931 | 2.767 | 2.638 | 2.534 | 2.447 | 2.374 | 2.311 | 2.257 | 2.209 | 2.166 | 2.128 |
| 0.001 | 11.289 | 7.253 | 5.722 | 4.892 | 4.364 | 3.994 | 3.718 | 3.504 | 3.332 | 3.191 | 3.072 | 2.971 | 2.883 | 2.806 | 2.738 | 2.678 |
| 144 | 0.05 | 3.907 | 3.059 | 2.668 | 2.435 | 2.277 | 2.162 | 2.074 | 2.003 | 1.946 | 1.897 | 1.856 | 1.820 | 1.789 | 1.761 | 1.736 | 1.714 |
| 0.01 | 6.814 | 4.756 | 3.921 | 3.452 | 3.147 | 2.930 | 2.766 | 2.637 | 2.533 | 2.446 | 2.373 | 2.311 | 2.256 | 2.208 | 2.166 | 2.128 |
| 0.001 | 11.285 | 7.250 | 5.719 | 4.890 | 4.362 | 3.992 | 3.717 | 3.502 | 3.331 | 3.189 | 3.070 | 2.969 | 2.881 | 2.804 | 2.737 | 2.676 |
| 145 | 0.05 | 3.906 | 3.059 | 2.667 | 2.434 | 2.277 | 2.162 | 2.073 | 2.003 | 1.945 | 1.897 | 1.855 | 1.820 | 1.788 | 1.761 | 1.736 | 1.714 |
| 0.01 | 6.813 | 4.755 | 3.920 | 3.451 | 3.146 | 2.929 | 2.765 | 2.636 | 2.532 | 2.446 | 2.372 | 2.310 | 2.255 | 2.207 | 2.165 | 2.127 |
| 0.001 | 11.282 | 7.248 | 5.717 | 4.888 | 4.360 | 3.990 | 3.715 | 3.501 | 3.329 | 3.187 | 3.069 | 2.967 | 2.880 | 2.803 | 2.735 | 2.675 |
| 146 | 0.05 | 3.906 | 3.058 | 2.667 | 2.434 | 2.276 | 2.161 | 2.073 | 2.002 | 1.945 | 1.896 | 1.855 | 1.819 | 1.788 | 1.760 | 1.735 | 1.713 |
| 0.01 | 6.812 | 4.754 | 3.919 | 3.450 | 3.145 | 2.928 | 2.764 | 2.635 | 2.531 | 2.445 | 2.372 | 2.309 | 2.254 | 2.206 | 2.164 | 2.126 |
| 0.001 | 11.279 | 7.245 | 5.715 | 4.886 | 4.358 | 3.988 | 3.713 | 3.499 | 3.327 | 3.186 | 3.067 | 2.966 | 2.878 | 2.801 | 2.734 | 2.673 |
| 147 | 0.05 | 3.905 | 3.058 | 2.666 | 2.433 | 2.276 | 2.161 | 2.073 | 2.002 | 1.944 | 1.896 | 1.854 | 1.819 | 1.787 | 1.760 | 1.735 | 1.713 |
| 0.01 | 6.810 | 4.753 | 3.918 | 3.450 | 3.144 | 2.927 | 2.763 | 2.635 | 2.530 | 2.444 | 2.371 | 2.308 | 2.253 | 2.205 | 2.163 | 2.125 |
| 0.001 | 11.276 | 7.243 | 5.713 | 4.884 | 4.356 | 3.987 | 3.711 | 3.497 | 3.326 | 3.184 | 3.066 | 2.964 | 2.876 | 2.800 | 2.732 | 2.672 |
| 148 | 0.05 | 3.905 | 3.057 | 2.666 | 2.433 | 2.275 | 2.160 | 2.072 | 2.002 | 1.944 | 1.895 | 1.854 | 1.818 | 1.787 | 1.759 | 1.735 | 1.712 |
| 0.01 | 6.809 | 4.752 | 3.917 | 3.449 | 3.143 | 2.926 | 2.762 | 2.634 | 2.529 | 2.443 | 2.370 | 2.307 | 2.253 | 2.205 | 2.162 | 2.124 |
| 0.001 | 11.273 | 7.241 | 5.711 | 4.883 | 4.355 | 3.985 | 3.710 | 3.496 | 3.324 | 3.183 | 3.064 | 2.963 | 2.875 | 2.798 | 2.730 | 2.670 |
| 149 | 0.05 | 3.905 | 3.057 | 2.665 | 2.432 | 2.275 | 2.160 | 2.072 | 2.001 | 1.943 | 1.895 | 1.854 | 1.818 | 1.786 | 1.759 | 1.734 | 1.712 |
| 0.01 | 6.808 | 4.751 | 3.916 | 3.448 | 3.143 | 2.925 | 2.762 | 2.633 | 2.529 | 2.442 | 2.369 | 2.306 | 2.252 | 2.204 | 2.161 | 2.123 |
| 0.001 | 11.270 | 7.238 | 5.709 | 4.881 | 4.353 | 3.983 | 3.708 | 3.494 | 3.323 | 3.181 | 3.062 | 2.961 | 2.873 | 2.797 | 2.729 | 2.669 |
| 150 | 0.05 | 3.904 | 3.056 | 2.665 | 2.432 | 2.275 | 2.160 | 2.071 | 2.001 | 1.943 | 1.894 | 1.853 | 1.817 | 1.786 | 1.758 | 1.734 | 1.711 |
| 0.01 | 6.807 | 4.750 | 3.915 | 3.447 | 3.142 | 2.924 | 2.761 | 2.632 | 2.528 | 2.441 | 2.368 | 2.305 | 2.251 | 2.203 | 2.160 | 2.122 |
| 0.001 | 11.267 | 7.236 | 5.707 | 4.879 | 4.351 | 3.982 | 3.707 | 3.493 | 3.321 | 3.180 | 3.061 | 2.960 | 2.872 | 2.795 | 2.727 | 2.667 |