Alpha = 0.01
Alpha = 0.025
Alpha = 0.05
Interactive F-Distribution

The F Distribution: Values of F (alpha = 0.10)
0.1
see below for more
Degees of Freedom of the numerator df1
df2 1 2 3 4 5 6 7 8 9 10 df2
1 39.86361 49.50016 53.59334 55.83297 57.23996 58.20448 58.90615 59.43912 59.85748 60.19491 1
2 8.526342 9.000019 9.161795 9.243422 9.292648 9.325504 9.349094 9.366772 9.380528 9.391556 2
3 5.538311 5.462397 5.390774 5.342656 5.309147 5.284733 5.266202 5.251678 5.239997 5.230419 3
4 4.544773 4.324562 4.190866 4.10725 4.050577 4.009749 3.978968 3.954938 3.935668 3.91988 4
5 4.060411 3.779718 3.619476 3.520199 3.452982 3.404509 3.367902 3.339281 3.316281 3.297401 5
6 3.775952 3.463299 3.288761 3.180759 3.107516 3.054552 3.014456 2.983036 2.957741 2.936936 6
7 3.589435 3.257441 3.074071 2.960533 2.883347 2.827392 2.78493 2.751577 2.724676 2.702514 7
8 3.457913 3.113115 2.923798 2.806424 2.726445 2.668337 2.624134 2.589349 2.561237 2.538037 8
9 3.360299 3.006448 2.812861 2.69268 2.610612 2.550856 2.505313 2.469406 2.440338 2.416314 9
10 3.28501 2.924466 2.727674 2.60534 2.521638 2.460581 2.413962 2.377149 2.347306 2.322604 10
11 3.225196 2.859508 2.660229 2.53619 2.451184 2.389065 2.341565 2.303999 2.273502 2.248228 11
12 3.176552 2.806793 2.605525 2.4801 2.394025 2.331024 2.282782 2.244576 2.213525 2.187765 12
13 3.136208 2.763166 2.56027 2.433708 2.346724 2.282981 2.234103 2.19535 2.163819 2.137636 13
14 3.102215 2.726466 2.522221 2.394692 2.30694 2.242558 2.193133 2.153904 2.121954 2.095398 14
15 3.073183 2.695174 2.489788 2.361432 2.273023 2.208083 2.158178 2.118529 2.08621 2.05932 15
16 3.048115 2.668173 2.46181 2.332747 2.243759 2.178329 2.128004 2.087983 2.05533 2.028145 16
17 3.02623 2.64464 2.437432 2.307747 2.21825 2.15239 2.101689 2.061334 2.02839 2.000938 17
18 3.006974 2.623949 2.416005 2.285773 2.195826 2.129582 2.078544 2.03789 2.004676 1.976979 18
19 2.9899 2.60561 2.397023 2.266304 2.175955 2.109363 2.05802 2.017096 1.98364 1.955726 19
20 2.974652 2.589253 2.380087 2.248935 2.158227 2.091323 2.039702 1.998533 1.964853 1.936737 20
21 2.960959 2.574566 2.364885 2.233342 2.142311 2.075122 2.023253 1.98186 1.947974 1.919673 21
22 2.948582 2.561315 2.351172 2.219274 2.127944 2.060496 2.008395 1.966797 1.932726 1.904255 22
23 2.937355 2.549292 2.338727 2.206512 2.114909 2.047226 1.994916 1.953126 1.918881 1.890253 23
24 2.927116 2.538329 2.32739 2.194881 2.103032 2.035133 1.982624 1.940659 1.906255 1.877481 24
25 2.917744 2.528303 2.317016 2.184244 2.092165 2.024063 1.971376 1.929244 1.894694 1.865782 25
26 2.909132 2.519094 2.307491 2.174467 2.082182 2.013891 1.961041 1.918757 1.884068 1.855028 26
27 2.901189 2.51061 2.298712 2.165464 2.07298 2.004519 1.951509 1.909086 1.874266 1.845109 27
28 2.893842 2.502759 2.290598 2.157137 2.064475 1.995851 1.942695 1.90014 1.8652 1.835929 28
30 2.880697 2.488719 2.276071 2.142237 2.049248 1.980332 1.926917 1.884121 1.848958 1.819487 30
40 2.83535 2.440366 2.226091 2.09095 1.99682 1.926878 1.872522 1.828862 1.792902 1.762686 40
50 2.808662 2.411955 2.196728 2.060816 1.966001 1.89543 1.840498 1.796298 1.759837 1.729148 50
60 2.791069 2.393257 2.177408 2.040984 1.945711 1.874721 1.819394 1.774829 1.73802 1.707008 60
120 2.747811 2.347338 2.12999 1.992301 1.895874 1.82381 1.767475 1.721959 1.684249 1.65238 120
100,000 2.70559 2.302638 2.083851 1.944915 1.847329 1.774165 1.71678 1.670257 1.63158 1.598782 100,000
0.1 see below for more
Degees of Freedom of the numerator df1
df2 11 12 13 14 15 16 17 18 19 20 df2
1 60.47276 60.70513 60.90249 61.07257 61.22036 61.34997 61.46456 61.56642 61.65783 61.74014 1
2 9.400594 9.408154 9.414521 9.419978 9.424696 9.428845 9.43254 9.43578 9.438679 9.441294 2
3 5.222404 5.215611 5.209785 5.20474 5.20032 5.196398 5.192931 5.189818 5.187019 5.184489 3
4 3.906692 3.895522 3.885944 3.877631 3.870355 3.863931 3.858219 3.853103 3.848498 3.844335 4
5 3.281627 3.268241 3.256744 3.246761 3.238014 3.230284 3.223398 3.217238 3.211682 3.206651 5
6 2.919521 2.90472 2.891994 2.880931 2.871218 2.862635 2.854989 2.848125 2.841944 2.836337 6
7 2.683926 2.668109 2.654495 2.642643 2.632227 2.623011 2.614797 2.607422 2.600764 2.594732 7
8 2.518554 2.501956 2.487646 2.475176 2.464215 2.454499 2.44583 2.438046 2.431015 2.424635 8
9 2.396114 2.378883 2.364011 2.35104 2.339625 2.3295 2.320455 2.312333 2.30499 2.298322 9
10 2.30181 2.284054 2.268706 2.255312 2.243514 2.233044 2.223683 2.215266 2.207656 2.200743 10
11 2.22693 2.208726 2.19298 2.17922 2.167091 2.15632 2.146685 2.138016 2.130175 2.123045 11
12 2.166033 2.147438 2.13134 2.117268 2.104851 2.093813 2.083937 2.075048 2.066997 2.059679 12
13 2.11552 2.096588 2.080185 2.065832 2.053159 2.04189 2.031797 2.022706 2.014474 2.006981 13
14 2.072952 2.053714 2.037037 2.022432 2.009536 1.998053 1.987768 1.978499 1.970101 1.962452 14
15 2.036575 2.017071 2.000149 1.98532 1.972214 1.960547 1.950085 1.940652 1.932101 1.924313 15
16 2.005134 1.985388 1.968242 1.953211 1.93992 1.928079 1.91746 1.907878 1.899188 1.891273 16
17 1.977682 1.957716 1.940371 1.925155 1.911694 1.899696 1.888928 1.879211 1.870397 1.862361 17
18 1.953509 1.933341 1.915812 1.900428 1.886811 1.874668 1.863764 1.853923 1.844992 1.836845 18
19 1.932051 1.911701 1.894005 1.878465 1.864706 1.852428 1.841403 1.831445 1.822404 1.814154 19
20 1.912881 1.892364 1.874511 1.85883 1.844935 1.832534 1.821395 1.811328 1.802185 1.793843 20
21 1.89565 1.874973 1.85698 1.841165 1.827146 1.814632 1.803384 1.793218 1.783981 1.77555 21
22 1.880073 1.859256 1.841126 1.825189 1.811056 1.798433 1.787086 1.776826 1.767503 1.758988 22
23 1.865924 1.844974 1.826724 1.810669 1.79643 1.783707 1.772268 1.761919 1.752511 1.743921 23
24 1.853017 1.831943 1.813575 1.797416 1.783075 1.77026 1.758732 1.748301 1.738815 1.730152 24
25 1.841194 1.820002 1.801528 1.785267 1.770834 1.757931 1.746319 1.735811 1.726253 1.71752 25
26 1.830323 1.809024 1.790447 1.774092 1.75957 1.746585 1.734897 1.724315 1.714689 1.705889 26
27 1.820293 1.798892 1.780222 1.763777 1.749171 1.736108 1.724345 1.713696 1.704004 1.695145 27
28 1.811014 1.789513 1.770754 1.754227 1.739544 1.726406 1.714573 1.703858 1.694104 1.685187 28
30 1.79438 1.772705 1.753779 1.737099 1.722272 1.708997 1.697039 1.686203 1.676336 1.66731 30
40 1.736886 1.714563 1.69503 1.677776 1.662411 1.648628 1.636186 1.624894 1.614591 1.605152 40
50 1.702908 1.680167 1.660242 1.642615 1.626896 1.612776 1.600016 1.588418 1.577824 1.568107 50
60 1.68046 1.65743 1.637227 1.619338 1.603368 1.589012 1.576021 1.564207 1.553405 1.543485 60
120 1.625015 1.601205 1.580258 1.561656 1.545002 1.529987 1.516367 1.503943 1.492555 1.482071 120
100,000 1.57052 1.545844 1.524061 1.504651 1.487211 1.471435 1.457073 1.443929 1.43184 1.420673 100,000
0.1
Degees of Freedom of the numerator df1
df2 21 22 23 24 25 30 40 60 120 10000 df2
1 61.81472 61.88293 61.94477 62.00207 62.05482 62.26492 62.52912 62.79424 63.06072 63.32493 1
2 9.443681 9.445841 9.447831 9.449593 9.451298 9.457949 9.466248 9.474547 9.482903 9.491146 2
3 5.182187 5.18007 5.178151 5.176361 5.174726 5.168118 5.15972 5.151179 5.14251 5.133813 3
4 3.840555 3.837087 3.833918 3.830991 3.828305 3.817419 3.803621 3.789566 3.77527 3.760903 4
5 3.202075 3.19789 3.194053 3.190522 3.18726 3.17408 3.157325 3.140229 3.122793 3.105214 5
6 2.831236 2.826575 2.82229 2.818346 2.814701 2.799958 2.781171 2.761951 2.74229 2.722409 6
7 2.589232 2.584201 2.579583 2.575327 2.57139 2.55546 2.535096 2.51422 2.49279 2.471054 7
8 2.418822 2.413501 2.408605 2.404096 2.399922 2.383018 2.361361 2.3391 2.316181 2.292854 8
9 2.292239 2.286672 2.281553 2.276828 2.272458 2.254719 2.231957 2.208495 2.184272 2.159531 9
10 2.194433 2.188653 2.183334 2.178425 2.173884 2.155424 2.131692 2.107161 2.081766 2.055742 10
11 2.116536 2.110568 2.105075 2.100006 2.095309 2.076213 2.05161 2.02612 1.999652 1.972445 11
12 2.052989 2.046857 2.041208 2.035993 2.031161 2.011493 1.986102 1.959734 1.932278 1.903967 12
13 2.000135 1.99385 1.988063 1.982716 1.97776 1.957574 1.931465 1.904287 1.875915 1.846562 13
14 1.95546 1.949044 1.943128 1.937664 1.932595 1.911932 1.885162 1.857234 1.828001 1.797662 14
15 1.91719 1.910649 1.90462 1.899043 1.893874 1.872774 1.845393 1.816764 1.78672 1.755442 15
16 1.884029 1.877371 1.871236 1.865562 1.860295 1.838792 1.810841 1.781556 1.750747 1.718572 16
17 1.855003 1.848246 1.842011 1.836241 1.830887 1.80901 1.780528 1.750626 1.719091 1.686054 17
18 1.829385 1.822528 1.816204 1.810349 1.804914 1.782684 1.753705 1.723222 1.690992 1.657131 18
19 1.806601 1.799652 1.793243 1.787306 1.781796 1.75924 1.729793 1.698758 1.665869 1.631211 19
20 1.786198 1.779167 1.772676 1.766667 1.761084 1.738222 1.708333 1.676776 1.643256 1.607827 20
21 1.767823 1.760714 1.754149 1.748067 1.742418 1.719268 1.688962 1.656908 1.622782 1.586608 21
22 1.751182 1.743999 1.737364 1.731218 1.725505 1.702084 1.671381 1.638853 1.604148 1.567251 22
23 1.736041 1.72879 1.722087 1.715879 1.710106 1.686427 1.655351 1.622372 1.587107 1.549511 23
24 1.722203 1.714884 1.708123 1.701855 1.696026 1.672104 1.640672 1.60726 1.571458 1.533181 24
25 1.709507 1.702126 1.695305 1.688981 1.683102 1.658947 1.627177 1.593349 1.557032 1.518092 25
26 1.697813 1.690376 1.6835 1.677122 1.671191 1.646818 1.614724 1.580501 1.543683 1.5041 26
27 1.68701 1.679517 1.672587 1.666161 1.660181 1.6356 1.603198 1.568594 1.531294 1.491081 27
28 1.676998 1.66945 1.662471 1.655996 1.649973 1.625192 1.592495 1.557527 1.519759 1.478933 28
30 1.659018 1.651372 1.644301 1.637737 1.63163 1.606479 1.573229 1.537568 1.498911 1.456904 30
40 1.596467 1.588447 1.581016 1.574112 1.567674 1.541077 1.505625 1.467157 1.424757 1.377527 40
50 1.559156 1.550882 1.543206 1.536065 1.529404 1.501798 1.464779 1.424239 1.37894 1.327343 50
60 1.534342 1.525883 1.51803 1.510719 1.503892 1.47554 1.437343 1.3952 1.347568 1.292209 60
120 1.472383 1.463395 1.455032 1.447226 1.43992 1.409379 1.367602 1.32034 1.264572 1.193596 120
100,000 1.410317 1.40068 1.391681 1.383254 1.375342 1.34195 1.295215 1.240052 1.168734 1.01908 100,000