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F-distribution table
The F-distribution is used, for example, in the interpretation of an ANOVA. The F-distribution results from the quotient of two chi-square distributions which are divided by the respective degrees of freedom.
Here you can either calculate the critical F-value or the p-value with given degrees of freedom. You can also read the critical F-value for a given alpha level in the tables below.
Table for F-distribution 0.95 (a=0.05)
The following table shows the inverse distribution function of the F-distribution for (1-a) = 0.95. On the axes you will find the degrees of freedom of the numerator and denominator.
| df2\df1 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 1 | 161.448 | 199.5 | 215.707 | 224.583 | 230.162 | 233.986 | 236.768 | 238.883 | 240.543 | 241.882 | 242.983 | 243.906 | 244.69 | 245.364 | 245.95 |
| 2 | 18.513 | 19 | 19.164 | 19.247 | 19.296 | 19.33 | 19.353 | 19.371 | 19.385 | 19.396 | 19.405 | 19.413 | 19.419 | 19.424 | 19.429 |
| 3 | 10.128 | 9.552 | 9.277 | 9.117 | 9.013 | 8.941 | 8.887 | 8.845 | 8.812 | 8.786 | 8.763 | 8.745 | 8.729 | 8.715 | 8.703 |
| 4 | 7.709 | 6.944 | 6.591 | 6.388 | 6.256 | 6.163 | 6.094 | 6.041 | 5.999 | 5.964 | 5.936 | 5.912 | 5.891 | 5.873 | 5.858 |
| 5 | 6.608 | 5.786 | 5.409 | 5.192 | 5.05 | 4.95 | 4.876 | 4.818 | 4.772 | 4.735 | 4.704 | 4.678 | 4.655 | 4.636 | 4.619 |
| 6 | 5.987 | 5.143 | 4.757 | 4.534 | 4.387 | 4.284 | 4.207 | 4.147 | 4.099 | 4.06 | 4.027 | 4 | 3.976 | 3.956 | 3.938 |
| 7 | 5.591 | 4.737 | 4.347 | 4.12 | 3.972 | 3.866 | 3.787 | 3.726 | 3.677 | 3.637 | 3.603 | 3.575 | 3.55 | 3.529 | 3.511 |
| 8 | 5.318 | 4.459 | 4.066 | 3.838 | 3.687 | 3.581 | 3.5 | 3.438 | 3.388 | 3.347 | 3.313 | 3.284 | 3.259 | 3.237 | 3.218 |
| 9 | 5.117 | 4.256 | 3.863 | 3.633 | 3.482 | 3.374 | 3.293 | 3.23 | 3.179 | 3.137 | 3.102 | 3.073 | 3.048 | 3.025 | 3.006 |
| 10 | 4.965 | 4.103 | 3.708 | 3.478 | 3.326 | 3.217 | 3.135 | 3.072 | 3.02 | 2.978 | 2.943 | 2.913 | 2.887 | 2.865 | 2.845 |
| 11 | 4.844 | 3.982 | 3.587 | 3.357 | 3.204 | 3.095 | 3.012 | 2.948 | 2.896 | 2.854 | 2.818 | 2.788 | 2.761 | 2.739 | 2.719 |
| 12 | 4.747 | 3.885 | 3.49 | 3.259 | 3.106 | 2.996 | 2.913 | 2.849 | 2.796 | 2.753 | 2.717 | 2.687 | 2.66 | 2.637 | 2.617 |
| 13 | 4.667 | 3.806 | 3.411 | 3.179 | 3.025 | 2.915 | 2.832 | 2.767 | 2.714 | 2.671 | 2.635 | 2.604 | 2.577 | 2.554 | 2.533 |
| 14 | 4.6 | 3.739 | 3.344 | 3.112 | 2.958 | 2.848 | 2.764 | 2.699 | 2.646 | 2.602 | 2.565 | 2.534 | 2.507 | 2.484 | 2.463 |
| 15 | 4.543 | 3.682 | 3.287 | 3.056 | 2.901 | 2.79 | 2.707 | 2.641 | 2.588 | 2.544 | 2.507 | 2.475 | 2.448 | 2.424 | 2.403 |
Table for F-distribution 0.99 (a=0.01)
In this table of the F-distribution you will find the distribution function of the F-distribution for (1-a) = 0.99. On the axes you will find the degrees of freedom of the numerator and denominator.
| df2\df1 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 1 | 4,052.181 | 4,999.5 | 5,403.352 | 5,624.583 | 5,763.65 | 5,858.986 | 5,928.356 | 5,981.07 | 6,022.473 | 6,055.847 | 6,083.317 | 6,106.321 | 6,125.865 | 6,142.674 | 6,157.285 |
| 2 | 98.503 | 99 | 99.166 | 99.249 | 99.299 | 99.333 | 99.356 | 99.374 | 99.388 | 99.399 | 99.408 | 99.416 | 99.422 | 99.428 | 99.433 |
| 3 | 34.116 | 30.817 | 29.457 | 28.71 | 28.237 | 27.911 | 27.672 | 27.489 | 27.345 | 27.229 | 27.133 | 27.052 | 26.983 | 26.924 | 26.872 |
| 4 | 21.198 | 18 | 16.694 | 15.977 | 15.522 | 15.207 | 14.976 | 14.799 | 14.659 | 14.546 | 14.452 | 14.374 | 14.307 | 14.249 | 14.198 |
| 5 | 16.258 | 13.274 | 12.06 | 11.392 | 10.967 | 10.672 | 10.456 | 10.289 | 10.158 | 10.051 | 9.963 | 9.888 | 9.825 | 9.77 | 9.722 |
| 6 | 13.745 | 10.925 | 9.78 | 9.148 | 8.746 | 8.466 | 8.26 | 8.102 | 7.976 | 7.874 | 7.79 | 7.718 | 7.657 | 7.605 | 7.559 |
| 7 | 12.246 | 9.547 | 8.451 | 7.847 | 7.46 | 7.191 | 6.993 | 6.84 | 6.719 | 6.62 | 6.538 | 6.469 | 6.41 | 6.359 | 6.314 |
| 8 | 11.259 | 8.649 | 7.591 | 7.006 | 6.632 | 6.371 | 6.178 | 6.029 | 5.911 | 5.814 | 5.734 | 5.667 | 5.609 | 5.559 | 5.515 |
| 9 | 10.561 | 8.022 | 6.992 | 6.422 | 6.057 | 5.802 | 5.613 | 5.467 | 5.351 | 5.257 | 5.178 | 5.111 | 5.055 | 5.005 | 4.962 |
| 10 | 10.044 | 7.559 | 6.552 | 5.994 | 5.636 | 5.386 | 5.2 | 5.057 | 4.942 | 4.849 | 4.772 | 4.706 | 4.65 | 4.601 | 4.558 |
| 11 | 9.646 | 7.206 | 6.217 | 5.668 | 5.316 | 5.069 | 4.886 | 4.744 | 4.632 | 4.539 | 4.462 | 4.397 | 4.342 | 4.293 | 4.251 |
| 12 | 9.33 | 6.927 | 5.953 | 5.412 | 5.064 | 4.821 | 4.64 | 4.499 | 4.388 | 4.296 | 4.22 | 4.155 | 4.1 | 4.052 | 4.01 |
| 13 | 9.074 | 6.701 | 5.739 | 5.205 | 4.862 | 4.62 | 4.441 | 4.302 | 4.191 | 4.1 | 4.025 | 3.96 | 3.905 | 3.857 | 3.815 |
| 14 | 8.862 | 6.515 | 5.564 | 5.035 | 4.695 | 4.456 | 4.278 | 4.14 | 4.03 | 3.939 | 3.864 | 3.8 | 3.745 | 3.698 | 3.656 |
| 15 | 8.683 | 6.359 | 5.417 | 4.893 | 4.556 | 4.318 | 4.142 | 4.004 | 3.895 | 3.805 | 3.73 | 3.666 | 3.612 | 3.564 | 3.522 |
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