Table of Critical values of F distribution
Numerator Df = 1
α(1) |
0.25 |
0.100 |
0.05 |
0.025 |
0.01 |
0.005 |
0.0025 |
0.001 |
α(2) |
0.5 |
0.200 |
0.1 |
0.05 |
0.02 |
0.01 |
0.005 |
0.002 |
Df=1,Df=1 |
5.828427 |
39.863 |
161.447639 |
647.789011 |
4052.180695 |
16210.72272 |
64844.89087 |
405284.0679 |
2 |
2.571 |
8.526 |
18.512821 |
38.506329 |
98.502513 |
198.501253 |
398.50063 |
998.50025 |
3 |
2.024 |
5.538 |
10.127964 |
17.443443 |
34.116222 |
55.551957 |
89.58433 |
167.02922 |
4 |
1.807 |
4.545 |
7.708647 |
12.217863 |
21.19769 |
31.332772 |
45.67398 |
74.13729 |
5 |
1.692 |
4.060 |
6.607891 |
10.006982 |
16.258177 |
22.784781 |
31.40667 |
47.18078 |
6 |
1.621 |
3.776 |
5.987378 |
8.813101 |
13.745023 |
18.634996 |
24.80731 |
35.50749 |
7 |
1.573 |
3.589 |
5.591448 |
8.072669 |
12.246383 |
16.235558 |
21.1107 |
29.24519 |
8 |
1.538 |
3.458 |
5.317655 |
7.570882 |
11.258624 |
14.688199 |
18.77965 |
25.41476 |
9 |
1.512 |
3.360 |
5.117355 |
7.209283 |
10.561431 |
13.613609 |
17.18757 |
22.85713 |
10 |
1.491 |
3.285 |
4.964603 |
6.936728 |
10.044289 |
12.82647 |
16.03626 |
21.0396 |
11 |
1.475 |
3.225 |
4.844336 |
6.72413 |
9.646034 |
12.226311 |
15.16738 |
19.68679 |
12 |
1.461 |
3.177 |
4.747225 |
6.553769 |
9.330212 |
11.75423 |
14.48958 |
18.64332 |
13 |
1.450 |
3.136 |
4.667193 |
6.414254 |
9.073806 |
11.37354 |
13.94676 |
17.81542 |
14 |
1.440 |
3.102213 |
4.60011 |
6.297939 |
8.861593 |
11.060253 |
13.50264 |
17.14336 |
15 |
1.432 |
3.073186 |
4.543077 |
6.199501 |
8.683117 |
10.798049 |
13.13278 |
16.58742 |
20 |
1.404 |
2.974653 |
4.351244 |
5.871494 |
8.095958 |
9.943935 |
11.94005 |
14.81878 |
30 |
1.376 |
2.880695 |
4.170877 |
5.567535 |
7.562476 |
9.179677 |
10.8893 |
13.29301 |
Numerator Df = 2
α1 |
0.25 |
0.100 |
0.05 |
0.025 |
0.01 |
0.005 |
0.0025 |
0.001 |
α2 |
0.5 |
0.200 |
0.1 |
0.05 |
0.02 |
0.01 |
0.005 |
0.002 |
Df=2,Df=1 |
7.500 |
49.500 |
199.500 |
799.500 |
4999.500 |
19999.500 |
79999.500 |
499999.500 |
2 |
3.000 |
9.000 |
19.000 |
39.000 |
99.000 |
199.000 |
399.000 |
999.000 |
3 |
2.280 |
5.462 |
9.552 |
16.044 |
30.817 |
49.799 |
79.933 |
148.500 |
4 |
2.000 |
4.325 |
6.944 |
10.649 |
18.000 |
26.284 |
38.000 |
61.246 |
5 |
1.853 |
3.780 |
5.786 |
8.434 |
13.274 |
18.314 |
24.964 |
37.122 |
6 |
1.762 |
3.463 |
5.143 |
7.260 |
10.925 |
14.544 |
19.104 |
27.000 |
7 |
1.701 |
3.257 |
4.737 |
6.542 |
9.547 |
12.404 |
15.887 |
21.689 |
8 |
1.657 |
3.113 |
4.459 |
6.059 |
8.649 |
11.042 |
13.889 |
18.494 |
9 |
1.624 |
3.006 |
4.256 |
5.715 |
8.022 |
10.107 |
12.539 |
16.387 |
10 |
1.598 |
2.924 |
4.103 |
5.456 |
7.559 |
9.427 |
11.572 |
14.905 |
11 |
1.577 |
2.860 |
3.982 |
5.256 |
7.206 |
8.912 |
10.848 |
13.812 |
12 |
1.560 |
2.807 |
3.885 |
5.096 |
6.927 |
8.510 |
10.287 |
12.974 |
13 |
1.545 |
2.763 |
3.806 |
4.965 |
6.701 |
8.186 |
9.839 |
12.313 |
14 |
1.533 |
2.726 |
3.739 |
4.857 |
6.515 |
7.922 |
9.475 |
11.779 |
15 |
1.523 |
2.695 |
3.682 |
4.765 |
6.359 |
7.701 |
9.173 |
11.339 |
20 |
1.487 |
2.589 |
3.493 |
4.461 |
5.849 |
6.986 |
8.206 |
9.953 |
30 |
1.452 |
2.489 |
3.316 |
4.182 |
5.390 |
6.355 |
7.365 |
8.773 |
Numerator Df = 3
α1 |
0.25 |
0.100 |
0.05 |
0.025 |
0.01 |
0.005 |
0.0025 |
0.001 |
α2 |
0.5 |
0.200 |
0.1 |
0.05 |
0.02 |
0.01 |
0.005 |
0.002 |
Df=3,Df=1 |
8.200 |
53.593 |
215.707 |
864.163 |
5403.352 |
21614.741 |
86460.299 |
540379.200 |
2 |
3.153 |
9.162 |
19.164 |
39.165 |
99.166 |
199.166 |
399.167 |
999.167 |
3 |
2.356 |
5.391 |
9.277 |
15.439 |
29.457 |
47.467 |
76.056 |
141.109 |
4 |
2.047 |
4.191 |
6.591 |
9.979 |
16.694 |
24.259 |
34.956 |
56.177 |
5 |
1.884 |
3.619 |
5.409 |
7.764 |
12.060 |
16.530 |
22.426 |
33.202 |
6 |
1.784 |
3.289 |
4.757 |
6.599 |
9.780 |
12.917 |
16.867 |
23.703 |
7 |
1.717 |
3.074 |
4.347 |
5.890 |
8.451 |
10.882 |
13.843 |
18.772 |
8 |
1.668 |
2.924 |
4.066 |
5.416 |
7.591 |
9.596 |
11.979 |
15.829 |
9 |
1.632 |
2.813 |
3.863 |
5.078 |
6.992 |
8.717 |
10.726 |
13.902 |
10 |
1.603 |
2.728 |
3.708 |
4.826 |
6.552 |
8.081 |
9.833 |
12.553 |
11 |
1.580 |
2.660 |
3.587 |
4.630 |
6.217 |
7.600 |
9.167 |
11.561 |
12 |
1.561 |
2.606 |
3.490 |
4.474 |
5.953 |
7.226 |
8.652 |
10.804 |
13 |
1.545 |
2.560 |
3.411 |
4.347 |
5.739 |
6.926 |
8.242 |
10.209 |
14 |
1.532 |
2.522 |
3.344 |
4.242 |
5.564 |
6.680 |
7.910 |
9.729 |
15 |
1.520 |
2.490 |
3.287 |
4.153 |
5.417 |
6.476 |
7.634 |
9.335 |
20 |
1.481 |
2.380 |
3.098 |
3.859 |
4.938 |
5.818 |
6.757 |
8.098 |
30 |
1.443 |
2.276 |
2.922 |
3.589 |
4.510 |
5.239 |
5.999 |
7.054 |
Numerator Df = 4
α1 |
0.25 |
0.100 |
0.05 |
0.025 |
0.01 |
0.005 |
0.0025 |
0.001 |
α2 |
0.5 |
0.200 |
0.1 |
0.05 |
0.02 |
0.01 |
0.005 |
0.002 |
Df=4,Df=1 |
8.581 |
55.833 |
224.583 |
899.583 |
5624.583 |
22499.583 |
89999.583 |
562499.600 |
2 |
3.232 |
9.243 |
19.247 |
39.248 |
99.249 |
199.250 |
399.250 |
999.250 |
3 |
2.390 |
5.343 |
9.117 |
15.101 |
28.710 |
46.195 |
73.948 |
137.100 |
4 |
2.064 |
4.107 |
6.388 |
9.605 |
15.977 |
23.155 |
33.303 |
53.436 |
5 |
1.893 |
3.520 |
5.192 |
7.388 |
11.392 |
15.556 |
21.048 |
31.085 |
6 |
1.787 |
3.181 |
4.534 |
6.227 |
9.148 |
12.028 |
15.652 |
21.924 |
7 |
1.716 |
2.961 |
4.120 |
5.523 |
7.847 |
10.050 |
12.733 |
17.198 |
8 |
1.664 |
2.806 |
3.838 |
5.053 |
7.006 |
8.805 |
10.941 |
14.392 |
9 |
1.625 |
2.693 |
3.633 |
4.718 |
6.422 |
7.956 |
9.741 |
12.560 |
10 |
1.595 |
2.605 |
3.478 |
4.468 |
5.994 |
7.343 |
8.888 |
11.283 |
11 |
1.570 |
2.536 |
3.357 |
4.275 |
5.668 |
6.881 |
8.252 |
10.346 |
12 |
1.550 |
2.480 |
3.259 |
4.121 |
5.412 |
6.521 |
7.762 |
9.633 |
13 |
1.534 |
2.434 |
3.179 |
3.996 |
5.205 |
6.233 |
7.373 |
9.073 |
14 |
1.519 |
2.395 |
3.112 |
3.892 |
5.035 |
5.998 |
7.057 |
8.622 |
15 |
1.507 |
2.361 |
3.056 |
3.804 |
4.893 |
5.803 |
6.796 |
8.253 |
20 |
1.465 |
2.249 |
2.866 |
3.515 |
4.431 |
5.174 |
5.967 |
7.096 |
30 |
1.424 |
2.142 |
2.690 |
3.250 |
4.018 |
4.623 |
5.253 |
6.125 |
Numerator Df = 5
α1 |
0.25 |
0.100 |
0.05 |
0.025 |
0.01 |
0.005 |
0.0025 |
0.001 |
α2 |
0.5 |
0.200 |
0.1 |
0.05 |
0.02 |
0.01 |
0.005 |
0.002 |
Df=5,Df=1 |
8.820 |
57.240 |
230.162 |
921.848 |
5763.650 |
23055.798 |
92224.393 |
576404.600 |
2 |
3.280 |
9.293 |
19.296 |
39.298 |
99.299 |
199.300 |
399.300 |
999.300 |
3 |
2.409 |
5.309 |
9.013 |
14.885 |
28.237 |
45.392 |
72.621 |
134.580 |
4 |
2.072 |
4.051 |
6.256 |
9.364 |
15.522 |
22.456 |
32.261 |
51.712 |
5 |
1.895 |
3.453 |
5.050 |
7.146 |
10.967 |
14.940 |
20.178 |
29.752 |
6 |
1.785 |
3.108 |
4.387 |
5.988 |
8.746 |
11.464 |
14.884 |
20.803 |
7 |
1.711 |
2.883 |
3.972 |
5.285 |
7.460 |
9.522 |
12.031 |
16.206 |
8 |
1.658 |
2.726 |
3.687 |
4.817 |
6.632 |
8.302 |
10.283 |
13.485 |
9 |
1.617 |
2.611 |
3.482 |
4.484 |
6.057 |
7.471 |
9.116 |
11.714 |
10 |
1.585 |
2.522 |
3.326 |
4.236 |
5.636 |
6.872 |
8.288 |
10.481 |
11 |
1.560 |
2.451 |
3.204 |
4.044 |
5.316 |
6.422 |
7.671 |
9.578 |
12 |
1.539 |
2.394 |
3.106 |
3.891 |
5.064 |
6.071 |
7.196 |
8.892 |
13 |
1.521 |
2.347 |
3.025 |
3.767 |
4.862 |
5.791 |
6.820 |
8.354 |
14 |
1.507 |
2.307 |
2.958 |
3.663 |
4.695 |
5.562 |
6.515 |
7.922 |
15 |
1.494 |
2.273 |
2.901 |
3.576 |
4.556 |
5.372 |
6.263 |
7.567 |
20 |
1.450 |
2.158 |
2.711 |
3.289 |
4.103 |
4.762 |
5.463 |
6.461 |
30 |
1.407 |
2.049 |
2.534 |
3.026 |
3.699 |
4.228 |
4.776 |
5.534 |
R code used was
qf(c(alpha), df1=dfn, df2=dfd, lower.tail=FALSE)
Where dfn refers to numerator degrees of freedom and dfd refers to denominator degrees of freedom.