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Critical Values of the Fisher F-Distribution at a Probability Level of 0.05
The table below contains critical values of the Fisher F-distribution at a probability level (p-value) of 0.05.
To view a table of critical values for the Fisher F-distribution at a probability level (p-value) of 0.01, click here.
- df1 refers to the numerator degrees of freedom.
- df2 refers to the denominator degrees of freedom.
- When the result of an F-test with df1 and df2 degrees of freedom is larger than the associated value in the table, then the F-test is significant at the 0.05 level or below (i.e., p < 0.05).
ONLINE CALCULATOR
To calculate an exact critical value of the Fisher F-distribution, click here.
CRITICAL VALUES TABLE
|
df1 |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
| df2 |
|
|
|
|
|
|
|
|
|
|
|
| 1 |
|
161.448 |
199.500 |
215.707 |
224.583 |
230.162 |
233.986 |
236.768 |
238.883 |
240.543 |
241.882 |
| 2 |
|
18.513 |
19.000 |
19.164 |
19.247 |
19.296 |
19.330 |
19.353 |
19.371 |
19.385 |
19.396 |
| 3 |
|
10.128 |
9.552 |
9.277 |
9.117 |
9.013 |
8.941 |
8.887 |
8.845 |
8.812 |
8.786 |
| 4 |
|
7.709 |
6.944 |
6.591 |
6.388 |
6.256 |
6.163 |
6.094 |
6.041 |
5.999 |
5.964 |
| 5 |
|
6.608 |
5.786 |
5.409 |
5.192 |
5.050 |
4.950 |
4.876 |
4.818 |
4.772 |
4.735 |
| 6 |
|
5.987 |
5.143 |
4.757 |
4.534 |
4.387 |
4.284 |
4.207 |
4.147 |
4.099 |
4.060 |
| 7 |
|
5.591 |
4.737 |
4.347 |
4.120 |
3.972 |
3.866 |
3.787 |
3.726 |
3.677 |
3.637 |
| 8 |
|
5.318 |
4.459 |
4.066 |
3.838 |
3.687 |
3.581 |
3.500 |
3.438 |
3.388 |
3.347 |
| 9 |
|
5.117 |
4.256 |
3.863 |
3.633 |
3.482 |
3.374 |
3.293 |
3.230 |
3.179 |
3.137 |
| 10 |
|
4.965 |
4.103 |
3.708 |
3.478 |
3.326 |
3.217 |
3.135 |
3.072 |
3.020 |
2.978 |
| 11 |
|
4.844 |
3.982 |
3.587 |
3.357 |
3.204 |
3.095 |
3.012 |
2.948 |
2.896 |
2.854 |
| 12 |
|
4.747 |
3.885 |
3.490 |
3.259 |
3.106 |
2.996 |
2.913 |
2.849 |
2.796 |
2.753 |
| 13 |
|
4.667 |
3.806 |
3.411 |
3.179 |
3.025 |
2.915 |
2.832 |
2.767 |
2.714 |
2.671 |
| 14 |
|
4.600 |
3.739 |
3.344 |
3.112 |
2.958 |
2.848 |
2.764 |
2.699 |
2.646 |
2.602 |
| 15 |
|
4.543 |
3.682 |
3.287 |
3.056 |
2.901 |
2.790 |
2.707 |
2.641 |
2.588 |
2.544 |
| 16 |
|
4.494 |
3.634 |
3.239 |
3.007 |
2.852 |
2.741 |
2.657 |
2.591 |
2.538 |
2.494 |
| 17 |
|
4.451 |
3.592 |
3.197 |
2.965 |
2.810 |
2.699 |
2.614 |
2.548 |
2.494 |
2.450 |
| 18 |
|
4.414 |
3.555 |
3.160 |
2.928 |
2.773 |
2.661 |
2.577 |
2.510 |
2.456 |
2.412 |
| 19 |
|
4.381 |
3.522 |
3.127 |
2.895 |
2.740 |
2.628 |
2.544 |
2.477 |
2.423 |
2.378 |
| 20 |
|
4.351 |
3.493 |
3.098 |
2.866 |
2.711 |
2.599 |
2.514 |
2.447 |
2.393 |
2.348 |
| 21 |
|
4.325 |
3.467 |
3.072 |
2.840 |
2.685 |
2.573 |
2.488 |
2.420 |
2.366 |
2.321 |
| 22 |
|
4.301 |
3.443 |
3.049 |
2.817 |
2.661 |
2.549 |
2.464 |
2.397 |
2.342 |
2.297 |
| 23 |
|
4.279 |
3.422 |
3.028 |
2.796 |
2.640 |
2.528 |
2.442 |
2.375 |
2.320 |
2.275 |
| 24 |
|
4.260 |
3.403 |
3.009 |
2.776 |
2.621 |
2.508 |
2.423 |
2.355 |
2.300 |
2.255 |
| 25 |
|
4.242 |
3.385 |
2.991 |
2.759 |
2.603 |
2.490 |
2.405 |
2.337 |
2.282 |
2.236 |
| 26 |
|
4.225 |
3.369 |
2.975 |
2.743 |
2.587 |
2.474 |
2.388 |
2.321 |
2.265 |
2.220 |
| 27 |
|
4.210 |
3.354 |
2.960 |
2.728 |
2.572 |
2.459 |
2.373 |
2.305 |
2.250 |
2.204 |
| 28 |
|
4.196 |
3.340 |
2.947 |
2.714 |
2.558 |
2.445 |
2.359 |
2.291 |
2.236 |
2.190 |
| 29 |
|
4.183 |
3.328 |
2.934 |
2.701 |
2.545 |
2.432 |
2.346 |
2.278 |
2.223 |
2.177 |
| 30 |
|
4.171 |
3.316 |
2.922 |
2.690 |
2.534 |
2.421 |
2.334 |
2.266 |
2.211 |
2.165 |
| 31 |
|
4.160 |
3.305 |
2.911 |
2.679 |
2.523 |
2.409 |
2.323 |
2.255 |
2.199 |
2.153 |
| 32 |
|
4.149 |
3.295 |
2.901 |
2.668 |
2.512 |
2.399 |
2.313 |
2.244 |
2.189 |
2.142 |
| 33 |
|
4.139 |
3.285 |
2.892 |
2.659 |
2.503 |
2.389 |
2.303 |
2.235 |
2.179 |
2.133 |
| 34 |
|
4.130 |
3.276 |
2.883 |
2.650 |
2.494 |
2.380 |
2.294 |
2.225 |
2.170 |
2.123 |
| 35 |
|
4.121 |
3.267 |
2.874 |
2.641 |
2.485 |
2.372 |
2.285 |
2.217 |
2.161 |
2.114 |
| 36 |
|
4.113 |
3.259 |
2.866 |
2.634 |
2.477 |
2.364 |
2.277 |
2.209 |
2.153 |
2.106 |
| 37 |
|
4.105 |
3.252 |
2.859 |
2.626 |
2.470 |
2.356 |
2.270 |
2.201 |
2.145 |
2.098 |
| 38 |
|
4.098 |
3.245 |
2.852 |
2.619 |
2.463 |
2.349 |
2.262 |
2.194 |
2.138 |
2.091 |
| 39 |
|
4.091 |
3.238 |
2.845 |
2.612 |
2.456 |
2.342 |
2.255 |
2.187 |
2.131 |
2.084 |
| 40 |
|
4.085 |
3.232 |
2.839 |
2.606 |
2.449 |
2.336 |
2.249 |
2.180 |
2.124 |
2.077 |
| 41 |
|
4.079 |
3.226 |
2.833 |
2.600 |
2.443 |
2.330 |
2.243 |
2.174 |
2.118 |
2.071 |
| 42 |
|
4.073 |
3.220 |
2.827 |
2.594 |
2.438 |
2.324 |
2.237 |
2.168 |
2.112 |
2.065 |
| 43 |
|
4.067 |
3.214 |
2.822 |
2.589 |
2.432 |
2.318 |
2.232 |
2.163 |
2.106 |
2.059 |
| 44 |
|
4.062 |
3.209 |
2.816 |
2.584 |
2.427 |
2.313 |
2.226 |
2.157 |
2.101 |
2.054 |
| 45 |
|
4.057 |
3.204 |
2.812 |
2.579 |
2.422 |
2.308 |
2.221 |
2.152 |
2.096 |
2.049 |
| 46 |
|
4.052 |
3.200 |
2.807 |
2.574 |
2.417 |
2.304 |
2.216 |
2.147 |
2.091 |
2.044 |
| 47 |
|
4.047 |
3.195 |
2.802 |
2.570 |
2.413 |
2.299 |
2.212 |
2.143 |
2.086 |
2.039 |
| 48 |
|
4.043 |
3.191 |
2.798 |
2.565 |
2.409 |
2.295 |
2.207 |
2.138 |
2.082 |
2.035 |
| 49 |
|
4.038 |
3.187 |
2.794 |
2.561 |
2.404 |
2.290 |
2.203 |
2.134 |
2.077 |
2.030 |
| 50 |
|
4.034 |
3.183 |
2.790 |
2.557 |
2.400 |
2.286 |
2.199 |
2.130 |
2.073 |
2.026 |
| 51 |
|
4.030 |
3.179 |
2.786 |
2.553 |
2.397 |
2.283 |
2.195 |
2.126 |
2.069 |
2.022 |
| 52 |
|
4.027 |
3.175 |
2.783 |
2.550 |
2.393 |
2.279 |
2.192 |
2.122 |
2.066 |
2.018 |
| 53 |
|
4.023 |
3.172 |
2.779 |
2.546 |
2.389 |
2.275 |
2.188 |
2.119 |
2.062 |
2.015 |
| 54 |
|
4.020 |
3.168 |
2.776 |
2.543 |
2.386 |
2.272 |
2.185 |
2.115 |
2.059 |
2.011 |
| 55 |
|
4.016 |
3.165 |
2.773 |
2.540 |
2.383 |
2.269 |
2.181 |
2.112 |
2.055 |
2.008 |
| 56 |
|
4.013 |
3.162 |
2.769 |
2.537 |
2.380 |
2.266 |
2.178 |
2.109 |
2.052 |
2.005 |
| 57 |
|
4.010 |
3.159 |
2.766 |
2.534 |
2.377 |
2.263 |
2.175 |
2.106 |
2.049 |
2.001 |
| 58 |
|
4.007 |
3.156 |
2.764 |
2.531 |
2.374 |
2.260 |
2.172 |
2.103 |
2.046 |
1.998 |
| 59 |
|
4.004 |
3.153 |
2.761 |
2.528 |
2.371 |
2.257 |
2.169 |
2.100 |
2.043 |
1.995 |
| 60 |
|
4.001 |
3.150 |
2.758 |
2.525 |
2.368 |
2.254 |
2.167 |
2.097 |
2.040 |
1.993 |
| 61 |
|
3.998 |
3.148 |
2.755 |
2.523 |
2.366 |
2.251 |
2.164 |
2.094 |
2.037 |
1.990 |
| 62 |
|
3.996 |
3.145 |
2.753 |
2.520 |
2.363 |
2.249 |
2.161 |
2.092 |
2.035 |
1.987 |
| 63 |
|
3.993 |
3.143 |
2.751 |
2.518 |
2.361 |
2.246 |
2.159 |
2.089 |
2.032 |
1.985 |
| 64 |
|
3.991 |
3.140 |
2.748 |
2.515 |
2.358 |
2.244 |
2.156 |
2.087 |
2.030 |
1.982 |
| 65 |
|
3.989 |
3.138 |
2.746 |
2.513 |
2.356 |
2.242 |
2.154 |
2.084 |
2.027 |
1.980 |
| 66 |
|
3.986 |
3.136 |
2.744 |
2.511 |
2.354 |
2.239 |
2.152 |
2.082 |
2.025 |
1.977 |
| 67 |
|
3.984 |
3.134 |
2.742 |
2.509 |
2.352 |
2.237 |
2.150 |
2.080 |
2.023 |
1.975 |
| 68 |
|
3.982 |
3.132 |
2.740 |
2.507 |
2.350 |
2.235 |
2.148 |
2.078 |
2.021 |
1.973 |
| 69 |
|
3.980 |
3.130 |
2.737 |
2.505 |
2.348 |
2.233 |
2.145 |
2.076 |
2.019 |
1.971 |
| 70 |
|
3.978 |
3.128 |
2.736 |
2.503 |
2.346 |
2.231 |
2.143 |
2.074 |
2.017 |
1.969 |
| 71 |
|
3.976 |
3.126 |
2.734 |
2.501 |
2.344 |
2.229 |
2.142 |
2.072 |
2.015 |
1.967 |
| 72 |
|
3.974 |
3.124 |
2.732 |
2.499 |
2.342 |
2.227 |
2.140 |
2.070 |
2.013 |
1.965 |
| 73 |
|
3.972 |
3.122 |
2.730 |
2.497 |
2.340 |
2.226 |
2.138 |
2.068 |
2.011 |
1.963 |
| 74 |
|
3.970 |
3.120 |
2.728 |
2.495 |
2.338 |
2.224 |
2.136 |
2.066 |
2.009 |
1.961 |
| 75 |
|
3.968 |
3.119 |
2.727 |
2.494 |
2.337 |
2.222 |
2.134 |
2.064 |
2.007 |
1.959 |
| 76 |
|
3.967 |
3.117 |
2.725 |
2.492 |
2.335 |
2.220 |
2.133 |
2.063 |
2.006 |
1.958 |
| 77 |
|
3.965 |
3.115 |
2.723 |
2.490 |
2.333 |
2.219 |
2.131 |
2.061 |
2.004 |
1.956 |
| 78 |
|
3.963 |
3.114 |
2.722 |
2.489 |
2.332 |
2.217 |
2.129 |
2.059 |
2.002 |
1.954 |
| 79 |
|
3.962 |
3.112 |
2.720 |
2.487 |
2.330 |
2.216 |
2.128 |
2.058 |
2.001 |
1.953 |
| 80 |
|
3.960 |
3.111 |
2.719 |
2.486 |
2.329 |
2.214 |
2.126 |
2.056 |
1.999 |
1.951 |
| 81 |
|
3.959 |
3.109 |
2.717 |
2.484 |
2.327 |
2.213 |
2.125 |
2.055 |
1.998 |
1.950 |
| 82 |
|
3.957 |
3.108 |
2.716 |
2.483 |
2.326 |
2.211 |
2.123 |
2.053 |
1.996 |
1.948 |
| 83 |
|
3.956 |
3.107 |
2.715 |
2.482 |
2.324 |
2.210 |
2.122 |
2.052 |
1.995 |
1.947 |
| 84 |
|
3.955 |
3.105 |
2.713 |
2.480 |
2.323 |
2.209 |
2.121 |
2.051 |
1.993 |
1.945 |
| 85 |
|
3.953 |
3.104 |
2.712 |
2.479 |
2.322 |
2.207 |
2.119 |
2.049 |
1.992 |
1.944 |
| 86 |
|
3.952 |
3.103 |
2.711 |
2.478 |
2.321 |
2.206 |
2.118 |
2.048 |
1.991 |
1.943 |
| 87 |
|
3.951 |
3.101 |
2.709 |
2.476 |
2.319 |
2.205 |
2.117 |
2.047 |
1.989 |
1.941 |
| 88 |
|
3.949 |
3.100 |
2.708 |
2.475 |
2.318 |
2.203 |
2.115 |
2.045 |
1.988 |
1.940 |
| 89 |
|
3.948 |
3.099 |
2.707 |
2.474 |
2.317 |
2.202 |
2.114 |
2.044 |
1.987 |
1.939 |
| 90 |
|
3.947 |
3.098 |
2.706 |
2.473 |
2.316 |
2.201 |
2.113 |
2.043 |
1.986 |
1.938 |
| 91 |
|
3.946 |
3.097 |
2.705 |
2.472 |
2.315 |
2.200 |
2.112 |
2.042 |
1.984 |
1.936 |
| 92 |
|
3.945 |
3.095 |
2.704 |
2.471 |
2.313 |
2.199 |
2.111 |
2.041 |
1.983 |
1.935 |
| 93 |
|
3.943 |
3.094 |
2.703 |
2.470 |
2.312 |
2.198 |
2.110 |
2.040 |
1.982 |
1.934 |
| 94 |
|
3.942 |
3.093 |
2.701 |
2.469 |
2.311 |
2.197 |
2.109 |
2.038 |
1.981 |
1.933 |
| 95 |
|
3.941 |
3.092 |
2.700 |
2.467 |
2.310 |
2.196 |
2.108 |
2.037 |
1.980 |
1.932 |
| 96 |
|
3.940 |
3.091 |
2.699 |
2.466 |
2.309 |
2.195 |
2.106 |
2.036 |
1.979 |
1.931 |
| 97 |
|
3.939 |
3.090 |
2.698 |
2.465 |
2.308 |
2.194 |
2.105 |
2.035 |
1.978 |
1.930 |
| 98 |
|
3.938 |
3.089 |
2.697 |
2.465 |
2.307 |
2.193 |
2.104 |
2.034 |
1.977 |
1.929 |
| 99 |
|
3.937 |
3.088 |
2.696 |
2.464 |
2.306 |
2.192 |
2.103 |
2.033 |
1.976 |
1.928 |
| 100 |
|
3.936 |
3.087 |
2.696 |
2.463 |
2.305 |
2.191 |
2.103 |
2.032 |
1.975 |
1.927 |
|
|
|
|
|
|
|
|
|
|
|
|
|
df1 |
11 |
12 |
13 |
14 |
15 |
16 |
17 |
18 |
19 |
20 |
| df2 |
|
|
|
|
|
|
|
|
|
|
|
| 1 |
|
242.983 |
243.906 |
244.690 |
245.364 |
245.950 |
246.464 |
246.918 |
247.323 |
247.686 |
248.013 |
| 2 |
|
19.405 |
19.413 |
19.419 |
19.424 |
19.429 |
19.433 |
19.437 |
19.440 |
19.443 |
19.446 |
| 3 |
|
8.763 |
8.745 |
8.729 |
8.715 |
8.703 |
8.692 |
8.683 |
8.675 |
8.667 |
8.660 |
| 4 |
|
5.936 |
5.912 |
5.891 |
5.873 |
5.858 |
5.844 |
5.832 |
5.821 |
5.811 |
5.803 |
| 5 |
|
4.704 |
4.678 |
4.655 |
4.636 |
4.619 |
4.604 |
4.590 |
4.579 |
4.568 |
4.558 |
| 6 |
|
4.027 |
4.000 |
3.976 |
3.956 |
3.938 |
3.922 |
3.908 |
3.896 |
3.884 |
3.874 |
| 7 |
|
3.603 |
3.575 |
3.550 |
3.529 |
3.511 |
3.494 |
3.480 |
3.467 |
3.455 |
3.445 |
| 8 |
|
3.313 |
3.284 |
3.259 |
3.237 |
3.218 |
3.202 |
3.187 |
3.173 |
3.161 |
3.150 |
| 9 |
|
3.102 |
3.073 |
3.048 |
3.025 |
3.006 |
2.989 |
2.974 |
2.960 |
2.948 |
2.936 |
| 10 |
|
2.943 |
2.913 |
2.887 |
2.865 |
2.845 |
2.828 |
2.812 |
2.798 |
2.785 |
2.774 |
| 11 |
|
2.818 |
2.788 |
2.761 |
2.739 |
2.719 |
2.701 |
2.685 |
2.671 |
2.658 |
2.646 |
| 12 |
|
2.717 |
2.687 |
2.660 |
2.637 |
2.617 |
2.599 |
2.583 |
2.568 |
2.555 |
2.544 |
| 13 |
|
2.635 |
2.604 |
2.577 |
2.554 |
2.533 |
2.515 |
2.499 |
2.484 |
2.471 |
2.459 |
| 14 |
|
2.565 |
2.534 |
2.507 |
2.484 |
2.463 |
2.445 |
2.428 |
2.413 |
2.400 |
2.388 |
| 15 |
|
2.507 |
2.475 |
2.448 |
2.424 |
2.403 |
2.385 |
2.368 |
2.353 |
2.340 |
2.328 |
| 16 |
|
2.456 |
2.425 |
2.397 |
2.373 |
2.352 |
2.333 |
2.317 |
2.302 |
2.288 |
2.276 |
| 17 |
|
2.413 |
2.381 |
2.353 |
2.329 |
2.308 |
2.289 |
2.272 |
2.257 |
2.243 |
2.230 |
| 18 |
|
2.374 |
2.342 |
2.314 |
2.290 |
2.269 |
2.250 |
2.233 |
2.217 |
2.203 |
2.191 |
| 19 |
|
|