The
F Distribution: Values of F (alpha = 0.05) |
|
|
|
|
|
|
Enter a = |
0.05 |
F-Stat |
19.29629 |
|
0.05 |
|
Enter df1= |
5 |
|
see below for more |
|
Enter df2= |
2 |
|
Degees of Freedom
of the numerator |
df1 |
|
df2 |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
df2 |
1 |
161.4462 |
199.4995 |
215.7067 |
224.5833 |
230.1604 |
233.9875 |
236.7669 |
238.8842 |
240.5432 |
241.8819 |
1 |
2 |
18.51276 |
19.00003 |
19.16419 |
19.24673 |
19.29629 |
19.32949 |
19.35314 |
19.37087 |
19.38474 |
19.39588 |
2 |
3 |
10.12796 |
9.552082 |
9.276619 |
9.117173 |
9.013434 |
8.940674 |
8.88673 |
8.845234 |
8.812322 |
8.785491 |
3 |
4 |
7.70865 |
6.944276 |
6.591392 |
6.388234 |
6.256073 |
6.163134 |
6.094211 |
6.041034 |
5.9988 |
5.964353 |
4 |
5 |
6.607877 |
5.786148 |
5.409447 |
5.192163 |
5.050339 |
4.950294 |
4.875858 |
4.818332 |
4.77246 |
4.735057 |
5 |
6 |
5.987374 |
5.143249 |
4.757055 |
4.533689 |
4.387374 |
4.283862 |
4.206669 |
4.146813 |
4.099007 |
4.059956 |
6 |
7 |
5.59146 |
4.737416 |
4.34683 |
4.120309 |
3.971522 |
3.865978 |
3.787051 |
3.725717 |
3.676675 |
3.636529 |
7 |
8 |
5.317645 |
4.458968 |
4.06618 |
3.837854 |
3.687504 |
3.580581 |
3.50046 |
3.438103 |
3.388124 |
3.347168 |
8 |
9 |
5.117357 |
4.256492 |
3.862539 |
3.63309 |
3.481659 |
3.373756 |
3.29274 |
3.229587 |
3.178897 |
3.137274 |
9 |
10 |
4.964591 |
4.102816 |
3.708266 |
3.47805 |
3.325837 |
3.217181 |
3.135469 |
3.071662 |
3.020382 |
2.97824 |
10 |
11 |
4.844338 |
3.982308 |
3.587431 |
3.356689 |
3.20388 |
3.094613 |
3.012332 |
2.947985 |
2.896222 |
2.853625 |
11 |
12 |
4.747221 |
3.88529 |
3.4903 |
3.25916 |
3.105875 |
2.996117 |
2.913353 |
2.848566 |
2.796376 |
2.753389 |
12 |
13 |
4.667186 |
3.805567 |
3.410534 |
3.179117 |
3.025434 |
2.915272 |
2.832095 |
2.76691 |
2.714359 |
2.671023 |
13 |
14 |
4.600111 |
3.73889 |
3.343885 |
3.112248 |
2.958245 |
2.847727 |
2.764196 |
2.69867 |
2.645791 |
2.602157 |
14 |
15 |
4.543068 |
3.682317 |
3.287383 |
3.055568 |
2.901295 |
2.790465 |
2.706628 |
2.640796 |
2.587626 |
2.543715 |
15 |
16 |
4.493998 |
3.633716 |
3.238867 |
3.006917 |
2.85241 |
2.741309 |
2.657195 |
2.591094 |
2.537668 |
2.493515 |
16 |
17 |
4.451323 |
3.591538 |
3.196774 |
2.964711 |
2.809998 |
2.698656 |
2.6143 |
2.547957 |
2.494289 |
2.449916 |
17 |
18 |
4.413863 |
3.554561 |
3.159911 |
2.927749 |
2.77285 |
2.661302 |
2.576719 |
2.510156 |
2.456282 |
2.411703 |
18 |
19 |
4.380752 |
3.52189 |
3.127354 |
2.895106 |
2.740059 |
2.628319 |
2.543537 |
2.476767 |
2.422702 |
2.377931 |
19 |
20 |
4.35125 |
3.492829 |
3.098393 |
2.866081 |
2.710891 |
2.598981 |
2.514014 |
2.447067 |
2.392817 |
2.347875 |
20 |
21 |
4.324789 |
3.466795 |
3.072472 |
2.840096 |
2.684779 |
2.572712 |
2.487582 |
2.420464 |
2.36605 |
2.320952 |
21 |
22 |
4.300944 |
3.443361 |
3.049124 |
2.816705 |
2.661274 |
2.549058 |
2.463771 |
2.396504 |
2.341935 |
2.296694 |
22 |
23 |
4.279343 |
3.42213 |
3.027999 |
2.795538 |
2.64 |
2.527656 |
2.442228 |
2.374811 |
2.320107 |
2.274724 |
23 |
24 |
4.259675 |
3.402832 |
3.008786 |
2.776289 |
2.620652 |
2.508187 |
2.422631 |
2.35508 |
2.300244 |
2.254737 |
24 |
25 |
4.241699 |
3.385196 |
2.991243 |
2.758711 |
2.602988 |
2.49041 |
2.404725 |
2.33706 |
2.2821 |
2.236476 |
25 |
26 |
4.2252 |
3.36901 |
2.975156 |
2.742595 |
2.586788 |
2.47411 |
2.388312 |
2.320526 |
2.265452 |
2.219718 |
26 |
27 |
4.210008 |
3.354131 |
2.960348 |
2.727766 |
2.571888 |
2.45911 |
2.373206 |
2.305313 |
2.250133 |
2.204295 |
27 |
28 |
4.195982 |
3.340389 |
2.946685 |
2.714074 |
2.558124 |
2.445262 |
2.359258 |
2.291266 |
2.235979 |
2.190042 |
28 |
30 |
4.170886 |
3.315833 |
2.922278 |
2.689632 |
2.533554 |
2.420521 |
2.334346 |
2.266162 |
2.210697 |
2.16458 |
30 |
40 |
4.08474 |
3.231733 |
2.838746 |
2.605972 |
2.449468 |
2.335852 |
2.249024 |
2.180172 |
2.124029 |
2.07725 |
40 |
50 |
4.03432 |
3.182606 |
2.79001 |
2.557179 |
2.400412 |
2.286434 |
2.199201 |
2.129923 |
2.073349 |
2.026141 |
50 |
60 |
4.001194 |
3.150411 |
2.758078 |
2.525212 |
2.368267 |
2.254055 |
2.166541 |
2.096968 |
2.040096 |
1.992593 |
60 |
120 |
3.920121 |
3.071776 |
2.680167 |
2.447237 |
2.289852 |
2.175007 |
2.086772 |
2.016428 |
1.958764 |
1.910461 |
120 |
100,000 |
3.841549 |
2.995819 |
2.604999 |
2.372019 |
2.214186 |
2.098687 |
2.009685 |
1.938506 |
1.879979 |
1.830799 |
100,000 |
|
|
|
0.05 |
|
|
see below for more |
|
|
Degees of Freedom
of the numerator |
df1 |
|
df2 |
11 |
12 |
13 |
14 |
15 |
16 |
17 |
18 |
19 |
20 |
df2 |
1 |
242.9806 |
243.9047 |
244.6905 |
245.3635 |
245.9492 |
246.4658 |
246.9169 |
247.3244 |
247.6881 |
248.0156 |
1 |
2 |
19.40498 |
19.41248 |
19.41885 |
19.42431 |
19.42908 |
19.43317 |
19.43704 |
19.44022 |
19.44318 |
19.44568 |
2 |
3 |
8.763323 |
8.744678 |
8.728648 |
8.714892 |
8.702841 |
8.692268 |
8.682889 |
8.674533 |
8.666973 |
8.660209 |
3 |
4 |
5.935817 |
5.911716 |
5.891138 |
5.873346 |
5.8578 |
5.844129 |
5.831964 |
5.821107 |
5.811359 |
5.802548 |
4 |
5 |
4.703963 |
4.677702 |
4.65522 |
4.63578 |
4.618755 |
4.603777 |
4.590447 |
4.578538 |
4.567823 |
4.558132 |
5 |
6 |
4.027441 |
3.999929 |
3.976368 |
3.955932 |
3.938055 |
3.922281 |
3.908269 |
3.895707 |
3.884409 |
3.874192 |
6 |
7 |
3.603034 |
3.574684 |
3.55034 |
3.529237 |
3.510735 |
3.494407 |
3.479869 |
3.466866 |
3.455142 |
3.444526 |
7 |
8 |
3.312948 |
3.283944 |
3.259018 |
3.237375 |
3.218403 |
3.201635 |
3.186699 |
3.173312 |
3.161247 |
3.150319 |
8 |
9 |
3.102485 |
3.072941 |
3.047546 |
3.025477 |
3.006107 |
2.988969 |
2.973692 |
2.960007 |
2.947651 |
2.93646 |
9 |
10 |
2.942954 |
2.912977 |
2.887177 |
2.864724 |
2.845013 |
2.827562 |
2.812008 |
2.798046 |
2.785441 |
2.774016 |
10 |
11 |
2.817927 |
2.787573 |
2.761418 |
2.738645 |
2.718636 |
2.700915 |
2.685098 |
2.670902 |
2.658084 |
2.646445 |
11 |
12 |
2.717329 |
2.686633 |
2.66018 |
2.637123 |
2.616851 |
2.598881 |
2.582837 |
2.568427 |
2.55541 |
2.543587 |
12 |
13 |
2.63465 |
2.603663 |
2.576925 |
2.55362 |
2.533113 |
2.514923 |
2.498673 |
2.484072 |
2.47087 |
2.458883 |
13 |
14 |
2.5655 |
2.534243 |
2.507264 |
2.483723 |
2.463004 |
2.444615 |
2.42818 |
2.413401 |
2.400036 |
2.387893 |
14 |
15 |
2.506809 |
2.475311 |
2.448111 |
2.424365 |
2.403446 |
2.384873 |
2.368267 |
2.353332 |
2.339817 |
2.327532 |
15 |
16 |
2.456368 |
2.424663 |
2.397258 |
2.373319 |
2.352223 |
2.333486 |
2.316725 |
2.30164 |
2.287983 |
2.27557 |
16 |
17 |
2.412563 |
2.380652 |
2.353062 |
2.328953 |
2.307694 |
2.2888 |
2.271893 |
2.25667 |
2.242892 |
2.230355 |
17 |
18 |
2.374158 |
2.34207 |
2.314302 |
2.290029 |
2.268621 |
2.249585 |
2.232547 |
2.217199 |
2.203297 |
2.190646 |
18 |
19 |
2.340208 |
2.307956 |
2.280032 |
2.255611 |
2.23406 |
2.214897 |
2.19773 |
2.182261 |
2.16825 |
2.155495 |
19 |
20 |
2.309989 |
2.277581 |
2.249514 |
2.224958 |
2.203272 |
2.183981 |
2.166701 |
2.151125 |
2.137007 |
2.124153 |
20 |
21 |
2.282917 |
2.25036 |
2.222158 |
2.197474 |
2.175668 |
2.156263 |
2.138872 |
2.123194 |
2.10898 |
2.096034 |
21 |
22 |
2.258517 |
2.225832 |
2.197503 |
2.172698 |
2.150777 |
2.131266 |
2.113772 |
2.097995 |
2.083688 |
2.070657 |
22 |
23 |
2.236419 |
2.203606 |
2.17516 |
2.150241 |
2.128218 |
2.1086 |
2.091014 |
2.075147 |
2.060752 |
2.047639 |
23 |
24 |
2.216311 |
2.183377 |
2.15482 |
2.129795 |
2.107676 |
2.087965 |
2.070284 |
2.054328 |
2.039858 |
2.026663 |
24 |
25 |
2.197929 |
2.164889 |
2.136229 |
2.111108 |
2.088889 |
2.069086 |
2.051323 |
2.035289 |
2.020741 |
2.007472 |
25 |
26 |
2.181068 |
2.147928 |
2.119165 |
2.093948 |
2.071644 |
2.051756 |
2.033914 |
2.017799 |
2.003176 |
1.989839 |
26 |
27 |
2.165542 |
2.132303 |
2.103448 |
2.078146 |
2.055756 |
2.03579 |
2.01787 |
2.001684 |
1.986994 |
1.973589 |
27 |
28 |
2.151197 |
2.117872 |
2.088932 |
2.06354 |
2.04107 |
2.021032 |
2.003038 |
1.986784 |
1.972026 |
1.958561 |
28 |
30 |
2.12556 |
2.092065 |
2.062961 |
2.037421 |
2.014804 |
1.994621 |
1.976495 |
1.960117 |
1.945235 |
1.931653 |
30 |
40 |
2.037581 |
2.003461 |
1.973756 |
1.947633 |
1.924462 |
1.90375 |
1.885113 |
1.868241 |
1.852893 |
1.83886 |
40 |
50 |
1.986056 |
1.951527 |
1.921428 |
1.894925 |
1.871385 |
1.850314 |
1.831335 |
1.814133 |
1.798465 |
1.784123 |
50 |
60 |
1.952213 |
1.917396 |
1.887017 |
1.860244 |
1.836437 |
1.815113 |
1.795886 |
1.778446 |
1.762547 |
1.747985 |
60 |
120 |
1.869289 |
1.833694 |
1.802555 |
1.775032 |
1.750497 |
1.728463 |
1.708543 |
1.690431 |
1.673879 |
1.65868 |
120 |
100,000 |
1.788745 |
1.752269 |
1.720254 |
1.69187 |
1.666486 |
1.643615 |
1.622873 |
1.603954 |
1.586606 |
1.570626 |
100,000 |
|
|
0.05 |
|
|
Degees of Freedom
of the numerator |
df1 |
|
df2 |
21 |
22 |
23 |
24 |
25 |
30 |
40 |
60 |
120 |
10000 |
df2 |
1 |
248.3066 |
248.5795 |
248.8232 |
249.0524 |
249.2598 |
250.0965 |
251.1442 |
252.1956 |
253.2543 |
254.302 |
1 |
2 |
19.44818 |
19.45023 |
19.45227 |
19.45409 |
19.45568 |
19.4625 |
19.47069 |
19.4791 |
19.48729 |
19.4957 |
2 |
3 |
8.654013 |
8.648385 |
8.643269 |
8.638494 |
8.634117 |
8.616553 |
8.594384 |
8.571988 |
8.549364 |
8.52674 |
3 |
4 |
5.794533 |
5.787228 |
5.780521 |
5.774382 |
5.768698 |
5.745875 |
5.716998 |
5.687752 |
5.658109 |
5.628436 |
4 |
5 |
4.549321 |
4.541278 |
4.533916 |
4.527152 |
4.520899 |
4.495718 |
4.4638 |
4.431371 |
4.398458 |
4.365404 |
5 |
6 |
3.864898 |
3.8564 |
3.848612 |
3.84145 |
3.834842 |
3.808168 |
3.774289 |
3.7398 |
3.70467 |
3.6693 |
6 |
7 |
3.434863 |
3.426038 |
3.417952 |
3.410491 |
3.403613 |
3.375803 |
3.340432 |
3.304322 |
3.267445 |
3.230213 |
7 |
8 |
3.140372 |
3.131277 |
3.122935 |
3.11524 |
3.108134 |
3.079407 |
3.042778 |
3.005297 |
2.966928 |
2.928054 |
8 |
9 |
2.926257 |
2.916934 |
2.908365 |
2.900478 |
2.893174 |
2.863658 |
2.825928 |
2.787246 |
2.747527 |
2.707168 |
9 |
10 |
2.763599 |
2.754071 |
2.745317 |
2.737252 |
2.729784 |
2.699551 |
2.660855 |
2.621078 |
2.580123 |
2.538393 |
10 |
11 |
2.635836 |
2.626123 |
2.617199 |
2.608971 |
2.601361 |
2.570488 |
2.530903 |
2.490125 |
2.448026 |
2.405002 |
11 |
12 |
2.532808 |
2.522931 |
2.513858 |
2.50548 |
2.497728 |
2.46628 |
2.425878 |
2.384169 |
2.340997 |
2.296744 |
12 |
13 |
2.447941 |
2.437922 |
2.428699 |
2.420194 |
2.412321 |
2.380332 |
2.339178 |
2.296595 |
2.252413 |
2.206995 |
13 |
14 |
2.376815 |
2.366654 |
2.357304 |
2.348678 |
2.340691 |
2.308205 |
2.266347 |
2.222947 |
2.177813 |
2.131273 |
14 |
15 |
2.31632 |
2.306031 |
2.296566 |
2.287827 |
2.279727 |
2.246786 |
2.204274 |
2.160107 |
2.114056 |
2.066439 |
15 |
16 |
2.26423 |
2.253827 |
2.244249 |
2.235403 |
2.22721 |
2.193843 |
2.150713 |
2.105814 |
2.058897 |
2.010239 |
16 |
17 |
2.218897 |
2.208388 |
2.198711 |
2.189765 |
2.18148 |
2.147708 |
2.103999 |
2.05841 |
2.010662 |
1.961006 |
17 |
18 |
2.179085 |
2.168473 |
2.1587 |
2.149662 |
2.141292 |
2.107143 |
2.062883 |
2.016641 |
1.9681 |
1.917474 |
18 |
19 |
2.143835 |
2.133127 |
2.123265 |
2.114142 |
2.105686 |
2.071186 |
2.026411 |
1.979544 |
1.930239 |
1.878671 |
19 |
20 |
2.112401 |
2.101601 |
2.091653 |
2.082452 |
2.073918 |
2.039087 |
1.993818 |
1.946358 |
1.896318 |
1.843837 |
20 |
21 |
2.084189 |
2.073307 |
2.063281 |
2.054005 |
2.045397 |
2.010246 |
1.964516 |
1.916487 |
1.86574 |
1.812374 |
21 |
22 |
2.058727 |
2.04777 |
2.037666 |
2.028319 |
2.019647 |
1.984194 |
1.93802 |
1.889447 |
1.838018 |
1.783789 |
22 |
23 |
2.035634 |
2.024599 |
2.014424 |
2.005009 |
1.99627 |
1.960537 |
1.913939 |
1.864844 |
1.812761 |
1.757691 |
23 |
24 |
2.014584 |
2.003482 |
1.993239 |
1.983757 |
1.974961 |
1.938957 |
1.891955 |
1.842359 |
1.789644 |
1.733756 |
24 |
25 |
1.995321 |
1.984152 |
1.973845 |
1.964306 |
1.955449 |
1.919187 |
1.8718 |
1.821725 |
1.768395 |
1.711708 |
25 |
26 |
1.977625 |
1.966391 |
1.956025 |
1.946429 |
1.937515 |
1.901011 |
1.853255 |
1.802718 |
1.748795 |
1.69133 |
26 |
27 |
1.961311 |
1.950017 |
1.939593 |
1.929941 |
1.920974 |
1.884235 |
1.836128 |
1.78515 |
1.730651 |
1.672422 |
27 |
28 |
1.946223 |
1.934872 |
1.924391 |
1.914685 |
1.905669 |
1.86871 |
1.820265 |
1.768857 |
1.713801 |
1.654826 |
28 |
30 |
1.919204 |
1.907743 |
1.897163 |
1.887361 |
1.878249 |
1.840871 |
1.79179 |
1.739572 |
1.683453 |
1.623036 |
30 |
40 |
1.825978 |
1.814104 |
1.803123 |
1.792937 |
1.783459 |
1.744432 |
1.692797 |
1.637252 |
1.576609 |
1.50977 |
40 |
50 |
1.770946 |
1.758789 |
1.747534 |
1.737078 |
1.727344 |
1.687157 |
1.633682 |
1.575653 |
1.511472 |
1.43921 |
50 |
60 |
1.734591 |
1.722224 |
1.710767 |
1.700116 |
1.690191 |
1.649141 |
1.594273 |
1.534314 |
1.467267 |
1.390303 |
60 |
120 |
1.644668 |
1.631697 |
1.619656 |
1.608438 |
1.597957 |
1.554342 |
1.495202 |
1.429013 |
1.351887 |
1.255252 |
120 |
100,000 |
1.555847 |
1.542126 |
1.529346 |
1.517403 |
1.50621 |
1.459213 |
1.394086 |
1.318171 |
1.221569 |
1.024554 |
100,000 |
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|
|
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|
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