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  Critical Values of the Fisher F-Distribution at a Probability Level of 0.01

The table below contains critical values of the Fisher F-distribution at a probability level (p-value) of 0.01.

To view a table of critical values for the Fisher F-distribution at a probability level (p-value) of 0.05, click here.
  1. df1 refers to the numerator degrees of freedom.
  2. df2 refers to the denominator degrees of freedom.
  3. 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 0.01 level or below (i.e., p < 0.01).

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 4052.181 4999.500 5403.352 5624.583 5763.650 5858.986 5928.356 5981.070 6022.473 6055.847
2 98.503 99.000 99.166 99.249 99.299 99.333 99.356 99.374 99.388 99.399
3 34.116 30.817 29.457 28.710 28.237 27.911 27.672 27.489 27.345 27.229
4 21.198 18.000 16.694 15.977 15.522 15.207 14.976 14.799 14.659 14.546
5 16.258 13.274 12.060 11.392 10.967 10.672 10.456 10.289 10.158 10.051
6 13.745 10.925 9.780 9.148 8.746 8.466 8.260 8.102 7.976 7.874
7 12.246 9.547 8.451 7.847 7.460 7.191 6.993 6.840 6.719 6.620
8 11.259 8.649 7.591 7.006 6.632 6.371 6.178 6.029 5.911 5.814
9 10.561 8.022 6.992 6.422 6.057 5.802 5.613 5.467 5.351 5.257
10 10.044 7.559 6.552 5.994 5.636 5.386 5.200 5.057 4.942 4.849
11 9.646 7.206 6.217 5.668 5.316 5.069 4.886 4.744 4.632 4.539
12 9.330 6.927 5.953 5.412 5.064 4.821 4.640 4.499 4.388 4.296
13 9.074 6.701 5.739 5.205 4.862 4.620 4.441 4.302 4.191 4.100
14 8.862 6.515 5.564 5.035 4.695 4.456 4.278 4.140 4.030 3.939
15 8.683 6.359 5.417 4.893 4.556 4.318 4.142 4.004 3.895 3.805
16 8.531 6.226 5.292 4.773 4.437 4.202 4.026 3.890 3.780 3.691
17 8.400 6.112 5.185 4.669 4.336 4.102 3.927 3.791 3.682 3.593
18 8.285 6.013 5.092 4.579 4.248 4.015 3.841 3.705 3.597 3.508
19 8.185 5.926 5.010 4.500 4.171 3.939 3.765 3.631 3.523 3.434
20 8.096 5.849 4.938 4.431 4.103 3.871 3.699 3.564 3.457 3.368
21 8.017 5.780 4.874 4.369 4.042 3.812 3.640 3.506 3.398 3.310
22 7.945 5.719 4.817 4.313 3.988 3.758 3.587 3.453 3.346 3.258
23 7.881 5.664 4.765 4.264 3.939 3.710 3.539 3.406 3.299 3.211
24 7.823 5.614 4.718 4.218 3.895 3.667 3.496 3.363 3.256 3.168
25 7.770 5.568 4.675 4.177 3.855 3.627 3.457 3.324 3.217 3.129
26 7.721 5.526 4.637 4.140 3.818 3.591 3.421 3.288 3.182 3.094
27 7.677 5.488 4.601 4.106 3.785 3.558 3.388 3.256 3.149 3.062
28 7.636 5.453 4.568 4.074 3.754 3.528 3.358 3.226 3.120 3.032
29 7.598 5.420 4.538 4.045 3.725 3.499 3.330 3.198 3.092 3.005
30 7.562 5.390 4.510 4.018 3.699 3.473 3.304 3.173 3.067 2.979
31 7.530 5.362 4.484 3.993 3.675 3.449 3.281 3.149 3.043 2.955
32 7.499 5.336 4.459 3.969 3.652 3.427 3.258 3.127 3.021 2.934
33 7.471 5.312 4.437 3.948 3.630 3.406 3.238 3.106 3.000 2.913
34 7.444 5.289 4.416 3.927 3.611 3.386 3.218 3.087 2.981 2.894
35 7.419 5.268 4.396 3.908 3.592 3.368 3.200 3.069 2.963 2.876
36 7.396 5.248 4.377 3.890 3.574 3.351 3.183 3.052 2.946 2.859
37 7.373 5.229 4.360 3.873 3.558 3.334 3.167 3.036 2.930 2.843
38 7.353 5.211 4.343 3.858 3.542 3.319 3.152 3.021 2.915 2.828
39 7.333 5.194 4.327 3.843 3.528 3.305 3.137 3.006 2.901 2.814
40 7.314 5.179 4.313 3.828 3.514 3.291 3.124 2.993 2.888 2.801
41 7.296 5.163 4.299 3.815 3.501 3.278 3.111 2.980 2.875 2.788
42 7.280 5.149 4.285 3.802 3.488 3.266 3.099 2.968 2.863 2.776
43 7.264 5.136 4.273 3.790 3.476 3.254 3.087 2.957 2.851 2.764
44 7.248 5.123 4.261 3.778 3.465 3.243 3.076 2.946 2.840 2.754
45 7.234 5.110 4.249 3.767 3.454 3.232 3.066 2.935 2.830 2.743
46 7.220 5.099 4.238 3.757 3.444 3.222 3.056 2.925 2.820 2.733
47 7.207 5.087 4.228 3.747 3.434 3.213 3.046 2.916 2.811 2.724
48 7.194 5.077 4.218 3.737 3.425 3.204 3.037 2.907 2.802 2.715
49 7.182 5.066 4.208 3.728 3.416 3.195 3.028 2.898 2.793 2.706
50 7.171 5.057 4.199 3.720 3.408 3.186 3.020 2.890 2.785 2.698
51 7.159 5.047 4.191 3.711 3.400 3.178 3.012 2.882 2.777 2.690
52 7.149 5.038 4.182 3.703 3.392 3.171 3.005 2.874 2.769 2.683
53 7.139 5.030 4.174 3.695 3.384 3.163 2.997 2.867 2.762 2.675
54 7.129 5.021 4.167 3.688 3.377 3.156 2.990 2.860 2.755 2.668
55 7.119 5.013 4.159 3.681 3.370 3.149 2.983 2.853 2.748 2.662
56 7.110 5.006 4.152 3.674 3.363 3.143 2.977 2.847 2.742 2.655
57 7.102 4.998 4.145 3.667 3.357 3.136 2.971 2.841 2.736 2.649
58 7.093 4.991 4.138 3.661 3.351 3.130 2.965 2.835 2.730 2.643
59 7.085 4.984 4.132 3.655 3.345 3.124 2.959 2.829 2.724 2.637
60 7.077 4.977 4.126 3.649 3.339 3.119 2.953 2.823 2.718 2.632
61 7.070 4.971 4.120 3.643 3.333 3.113 2.948 2.818 2.713 2.626
62 7.062 4.965 4.114 3.638 3.328 3.108 2.942 2.813 2.708 2.621
63 7.055 4.959 4.109 3.632 3.323 3.103 2.937 2.808 2.703 2.616
64 7.048 4.953 4.103 3.627 3.318 3.098 2.932 2.803 2.698 2.611
65 7.042 4.947 4.098 3.622 3.313 3.093 2.928 2.798 2.693 2.607
66 7.035 4.942 4.093 3.618 3.308 3.088 2.923 2.793 2.689 2.602
67 7.029 4.937 4.088 3.613 3.304 3.084 2.919 2.789 2.684 2.598
68 7.023 4.932 4.083 3.608 3.299 3.080 2.914 2.785 2.680 2.593
69 7.017 4.927 4.079 3.604 3.295 3.075 2.910 2.781 2.676 2.589
70 7.011 4.922 4.074 3.600 3.291 3.071 2.906 2.777 2.672 2.585
71 7.006 4.917 4.070 3.596 3.287 3.067 2.902 2.773 2.668 2.581
72 7.001 4.913 4.066 3.591 3.283 3.063 2.898 2.769 2.664 2.578
73 6.995 4.908 4.062 3.588 3.279 3.060 2.895 2.765 2.660 2.574
74 6.990 4.904 4.058 3.584 3.275 3.056 2.891 2.762 2.657 2.570
75 6.985 4.900 4.054 3.580 3.272 3.052 2.887 2.758 2.653 2.567
76 6.981 4.896 4.050 3.577 3.268 3.049 2.884 2.755 2.650 2.563
77 6.976 4.892 4.047 3.573 3.265 3.046 2.881 2.751 2.647 2.560
78 6.971 4.888 4.043 3.570 3.261 3.042 2.877 2.748 2.644 2.557
79 6.967 4.884 4.040 3.566 3.258 3.039 2.874 2.745 2.640 2.554
80 6.963 4.881 4.036 3.563 3.255 3.036 2.871 2.742 2.637 2.551
81 6.959 4.877 4.033 3.560 3.252 3.033 2.868 2.739 2.634 2.548
82 6.954 4.874 4.030 3.557 3.249 3.030 2.865 2.736 2.632 2.545
83 6.950 4.870 4.027 3.554 3.246 3.027 2.863 2.733 2.629 2.542
84 6.947 4.867 4.024 3.551 3.243 3.025 2.860 2.731 2.626 2.539
85 6.943 4.864 4.021 3.548 3.240 3.022 2.857 2.728 2.623 2.537
86 6.939 4.861 4.018 3.545 3.238 3.019 2.854 2.725 2.621 2.534
87 6.935 4.858 4.015 3.543 3.235 3.017 2.852 2.723 2.618 2.532
88 6.932 4.855 4.012 3.540 3.233 3.014 2.849 2.720 2.616 2.529
89 6.928 4.852 4.010 3.538 3.230 3.012 2.847 2.718 2.613 2.527
90 6.925 4.849 4.007 3.535 3.228 3.009 2.845 2.715 2.611 2.524
91 6.922 4.846 4.004 3.533 3.225 3.007 2.842 2.713 2.609 2.522
92 6.919 4.844 4.002 3.530 3.223 3.004 2.840 2.711 2.606 2.520
93 6.915 4.841 3.999 3.528 3.221 3.002 2.838 2.709 2.604 2.518
94 6.912 4.838 3.997 3.525 3.218 3.000 2.835 2.706 2.602 2.515
95 6.909 4.836 3.995 3.523 3.216 2.998 2.833 2.704 2.600 2.513
96 6.906 4.833 3.992 3.521 3.214 2.996 2.831 2.702 2.598 2.511
97 6.904 4.831 3.990 3.519 3.212 2.994 2.829 2.700 2.596 2.509
98 6.901 4.829 3.988 3.517 3.210 2.992 2.827 2.698 2.594 2.507
99 6.898 4.826 3.986 3.515 3.208 2.990 2.825 2.696 2.592 2.505
100 6.895 4.824 3.984 3.513 3.206 2.988 2.823 2.694 2.590 2.503
df1 11 12 13 14 15 16 17 18 19 20
df2
1 6083.317 6106.321 6125.865 6142.674 6157.285 6170.101 6181.435 6191.529 6200.576 6208.730
2 99.408 99.416 99.422 99.428 99.433 99.437 99.440 99.444 99.447 99.449
3 27.133 27.052 26.983 26.924 26.872 26.827 26.787 26.751 26.719 26.690
4 14.452 14.374 14.307 14.249 14.198 14.154 14.115 14.080 14.048 14.020
5 9.963 9.888 9.825 9.770 9.722 9.680 9.643 9.610 9.580 9.553
6 7.790 7.718 7.657 7.605 7.559 7.519 7.483 7.451 7.422 7.396
7 6.538 6.469 6.410 6.359 6.314 6.275 6.240 6.209 6.181 6.155
8 5.734 5.667 5.609 5.559 5.515 5.477 5.442 5.412 5.384 5.359
9 5.178 5.111 5.055 5.005 4.962 4.924 4.890 4.860 4.833 4.808
10 4.772 4.706 4.650 4.601 4.558 4.520 4.487 4.457 4.430 4.405
11 4.462 4.397 4.342 4.293 4.251 4.213 4.180 4.150 4.123 4.099
12 4.220 4.155 4.100 4.052 4.010 3.972 3.939 3.909 3.883 3.858
13 4.025 3.960 3.905 3.857 3.815 3.778 3.745 3.716 3.689 3.665
14 3.864 3.800 3.745 3.698 3.656 3.619 3.586 3.556 3.529 3.505
15 3.730 3.666 3.612 3.564 3.522 3.485 3.452 3.423 3.396 3.372
16 3.616 3.553 3.498 3.451 3.409 3.372 3.339 3.310 3.283 3.259
17 3.519 3.455 3.401 3.353 3.312 3.275 3.242 3.212 3.186 3.162
18 3.434 3.371 3.316 3.269 3.227 3.190 3.158 3.128 3.101 3.077
19 3.360 3.297 3.242 3.195 3.153 3.116 3.084 3.054 3.027 3.003
20 3.294 3.231 3.177 3.130 3.088 3.051 3.018 2.989 2.962 2.938
21 3.236 3.173 3.119 3.072 3.030 2.993 2.960 2.931 2.904 2.880
22 3.184 3.121 3.067 3.019 2.978 2.941 2.908 2.879 2.852 2.827
23 3.137 3.074 3.020 2.973 2.931 2.894 2.861 2.832 2.805 2.781
24 3.094 3.032 2.977 2.930 2.889 2.852 2.819 2.789 2.762 2.738
25 3.056 2.993 2.939 2.892 2.850 2.813 2.780 2.751 2.724 2.699
26 3.021 2.958 2.904 2.857 2.815 2.778 2.745 2.715 2.688 2.664
27 2.988 2.926 2.871 2.824 2.783 2.746 2.713 2.683 2.656 2.632
28 2.959 2.896 2.842 2.795 2.753 2.716 2.683 2.653 2.626 2.602
29 2.931 2.868 2.814 2.767 2.726 2.689 2.656 2.626 2.599 2.574
30 2.906 2.843 2.789 2.742 2.700 2.663 2.630 2.600 2.573 2.549
31 2.882 2.820 2.765 2.718 2.677 2.640 2.606 2.577 2.550 2.525
32 2.860 2.798 2.744 2.696 2.655 2.618 2.584 2.555 2.527 2.503
33 2.840 2.777 2.723 2.676 2.634 2.597 2.564 2.534 2.507 2.482
34 2.821 2.758 2.704 2.657 2.615 2.578 2.545 2.515 2.488 2.463
35 2.803 2.740 2.686 2.639 2.597 2.560 2.527 2.497 2.470 2.445
36 2.786 2.723 2.669 2.622 2.580 2.543 2.510 2.480 2.453 2.428
37 2.770 2.707 2.653 2.606 2.564 2.527 2.494 2.464 2.437 2.412
38 2.755 2.692 2.638 2.591 2.549 2.512 2.479 2.449 2.421 2.397
39 2.741 2.678 2.624 2.577 2.535 2.498 2.465 2.434 2.407 2.382
40 2.727 2.665 2.611 2.563 2.522 2.484 2.451 2.421 2.394 2.369
41 2.715 2.652 2.598 2.551 2.509 2.472 2.438 2.408 2.381 2.356
42 2.703 2.640 2.586 2.539 2.497 2.460 2.426 2.396 2.369 2.344
43 2.691 2.629 2.575 2.527 2.485 2.448 2.415 2.385 2.357 2.332
44 2.680 2.618 2.564 2.516 2.475 2.437 2.404 2.374 2.346 2.321
45 2.670 2.608 2.553 2.506 2.464 2.427 2.393 2.363 2.336 2.311
46 2.660 2.598 2.544 2.496 2.454 2.417 2.384 2.353 2.326 2.301
47 2.651 2.588 2.534 2.487 2.445 2.408 2.374 2.344 2.316 2.291
48 2.642 2.579 2.525 2.478 2.436 2.399 2.365 2.335 2.307 2.282
49 2.633 2.571 2.517 2.469 2.427 2.390 2.356 2.326 2.299 2.274
50 2.625 2.562 2.508 2.461 2.419 2.382 2.348 2.318 2.290 2.265
51 2.617 2.555 2.500 2.453 2.411 2.374 2.340 2.310 2.282 2.257
52 2.610 2.547 2.493 2.445 2.403 2.366 2.333 2.302 2.275 2.250
53 2.602 2.540 2.486 2.438 2.396 2.359 2.325 2.295 2.267 2.242
54 2.595 2.533 2.479 2.431 2.389 2.352 2.318 2.288 2.260 2.235
55 2.589 2.526 2.472 2.424 2.382 2.345 2.311 2.281 2.253 2.228
56 2.582 2.520 2.465 2.418 2.376 2.339 2.305 2.275 2.247 2.222
57 2.576 2.513 2.459 2.412 2.370 2.332 2.299 2.268 2.241 2.215
58 2.570 2.507 2.453 2.406 2.364 2.326 2.293 2.262 2.235 2.209
59 2.564 2.502 2.447 2.400 2.358 2.320 2.287 2.256 2.229 2.203
60 2.559 2.496 2.442 2.394 2.352 2.315 2.281 2.251 2.223 2.198
61 2.553 2.491 2.436 2.389 2.347 2.309 2.276 2.245 2.218 2.192
62 2.548 2.486 2.431 2.384 2.342 2.304 2.270 2.240 2.212 2.187
63 2.543 2.481 2.426 2.379 2.337 2.299 2.265 2.235 2.207 2.182
64 2.538 2.476 2.421 2.374 2.332 2.294 2.260 2.230 2.202 2.177
65 2.534 2.471 2.417 2.369 2.327 2.289 2.256 2.225 2.198 2.172
66 2.529 2.466 2.412 2.365 2.322 2.285 2.251 2.221 2.193 2.168
67 2.525 2.462 2.408 2.360 2.318 2.280 2.247 2.216 2.188 2.163
68 2.520 2.458 2.403 2.356 2.314 2.276 2.242 2.212 2.184 2.159
69 2.516 2.454 2.399 2.352 2.310 2.272 2.238 2.208 2.180 2.155
70 2.512 2.450 2.395 2.348 2.306 2.268 2.234 2.204 2.176 2.150
71 2.508 2.446 2.391 2.344 2.302 2.264 2.230 2.200 2.172 2.146
72 2.504 2.442 2.388 2.340 2.298 2.260 2.226 2.196 2.168 2.143
73 2.501 2.438 2.384 2.336 2.294 2.256 2.223 2.192 2.164 2.139
74 2.497 2.435 2.380 2.333 2.290 2.253 2.219 2.188 2.161 2.135
75 2.494 2.431 2.377 2.329 2.287 2.249 2.215 2.185 2.157 2.132
76 2.490 2.428 2.373 2.326 2.284 2.246 2.212 2.181 2.154 2.128
77 2.487 2.424 2.370 2.322 2.280 2.243 2.209 2.178 2.150 2.125
78 2.484 2.421 2.367 2.319 2.277 2.239 2.206 2.175 2.147 2.122
79 2.481 2.418 2.364 2.316 2.274 2.236 2.202 2.172 2.144 2.118
80 2.478 2.415 2.361 2.313 2.271 2.233 2.199 2.169 2.141 2.115
81 2.475 2.412 2.358 2.310 2.268 2.230 2.196 2.166 2.138 2.112
82 2.472 2.409 2.355 2.307 2.265 2.227 2.193 2.163 2.135 2.109
83 2.469 2.406 2.352 2.304 2.262 2.224 2.191 2.160 2.132 2.106
84 2.466 2.404 2.349 2.302 2.259 2.222 2.188 2.157 2.129 2.104
85 2.464 2.401 2.347 2.299 2.257 2.219 2.185 2.154 2.126 2.101
86 2.461 2.398 2.344 2.296 2.254 2.216 2.182 2.152 2.124 2.098
87 2.459 2.396 2.342 2.294 2.252 2.214 2.180 2.149 2.121 2.096
88 2.456 2.393 2.339 2.291 2.249 2.211 2.177 2.147 2.119 2.093
89 2.454 2.391 2.337 2.289 2.247 2.209 2.175 2.144 2.116 2.091
90 2.451 2.389 2.334 2.286 2.244 2.206 2.172 2.142 2.114 2.088
91 2.449 2.386 2.332 2.284 2.242 2.204 2.170 2.139 2.111 2.086
92 2.447 2.384 2.330 2.282 2.240 2.202 2.168 2.137 2.109 2.083
93 2.444 2.382 2.327 2.280 2.237 2.200 2.166 2.135 2.107 2.081
94 2.442 2.380 2.325 2.277 2.235 2.197 2.163 2.133 2.105 2.079
95 2.440 2.378 2.323 2.275 2.233 2.195 2.161 2.130 2.102 2.077
96 2.438 2.375 2.321 2.273 2.231 2.193 2.159 2.128 2.100 2.075
97 2.436 2.373 2.319 2.271 2.229 2.191 2.157 2.126 2.098 2.073
98 2.434 2.371 2.317 2.269 2.227 2.189 2.155 2.124 2.096 2.071
99 2.432 2.369 2.315 2.267 2.225 2.187 2.153 2.122 2.094 2.069
100 2.430 2.368 2.313 2.265 2.223 2.185 2.151 2.120 2.092 2.067
 
 
 
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