The
F Distribution: Values of F (alpha = 0.10) |
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0.1 |
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see below for more |
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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 |
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