F distribution table
You can find a right-skewed F distribution tables for various Degrees of Freedom (DF1, DF2) and right tail probabilities (α).
DF1 – Degrees of Freedom of the numerator
DF2 – Degrees of Freedom of the denominator
Related Calculators
F Distribution Table for α = 0.01
df2\df1 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | df1/df2 |
1 | 4052.185 | 4999.34 | 5403.534 | 5624.257 | 5763.955 | 5858.95 | 5928.334 | 5980.954 | 6022.397 | 6055.925 | 1 |
2 | 98.50191 | 99.00032 | 99.16403 | 99.25134 | 99.30227 | 99.33137 | 99.35684 | 99.37503 | 99.38958 | 99.39686 | 2 |
3 | 34.11606 | 30.81641 | 29.45671 | 28.71002 | 28.23708 | 27.91057 | 27.67138 | 27.48948 | 27.34487 | 27.22845 | 3 |
4 | 21.19759 | 17.99981 | 16.69423 | 15.97709 | 15.52189 | 15.20675 | 14.97574 | 14.79884 | 14.65924 | 14.546 | 4 |
5 | 16.25813 | 13.27408 | 12.0599 | 11.39188 | 10.96714 | 10.67224 | 10.45555 | 10.28934 | 10.15769 | 10.05105 | 5 |
6 | 13.74519 | 10.92485 | 9.779569 | 9.14838 | 8.745928 | 8.466031 | 8.260031 | 8.101665 | 7.976041 | 7.874178 | 6 |
7 | 12.24635 | 9.546511 | 8.451252 | 7.846666 | 7.460358 | 7.191375 | 6.992877 | 6.840082 | 6.718778 | 6.620098 | 7 |
8 | 11.25863 | 8.649067 | 7.590984 | 7.006065 | 6.631808 | 6.370669 | 6.177629 | 6.028813 | 5.910579 | 5.814286 | 8 |
9 | 10.56151 | 8.021516 | 6.991968 | 6.422056 | 6.056894 | 5.80178 | 5.612833 | 5.467086 | 5.351126 | 5.256538 | 9 |
10 | 10.04423 | 7.559493 | 6.552341 | 5.994366 | 5.636366 | 5.3858 | 5.20015 | 5.056677 | 4.942422 | 4.849142 | 10 |
11 | 9.646101 | 7.205699 | 6.216737 | 5.668312 | 5.315997 | 5.069182 | 4.886033 | 4.744493 | 4.631545 | 4.539288 | 11 |
12 | 9.330279 | 6.926598 | 5.952529 | 5.411948 | 5.064351 | 4.820549 | 4.639503 | 4.499384 | 4.387516 | 4.296055 | 12 |
13 | 9.073801 | 6.70093 | 5.739366 | 5.205322 | 4.86159 | 4.620347 | 4.441006 | 4.30208 | 4.191065 | 4.100286 | 13 |
14 | 8.861662 | 6.514938 | 5.563891 | 5.035417 | 4.694982 | 4.455842 | 4.277865 | 4.139963 | 4.029687 | 3.939419 | 14 |
15 | 8.683173 | 6.358846 | 5.41695 | 4.893195 | 4.555602 | 4.318281 | 4.141555 | 4.004448 | 3.894797 | 3.804928 | 15 |
16 | 8.530947 | 6.226287 | 5.292236 | 4.772573 | 4.437425 | 4.201638 | 4.025935 | 3.889568 | 3.780428 | 3.690928 | 16 |
17 | 8.399752 | 6.112145 | 5.185029 | 4.668948 | 4.335959 | 4.10148 | 3.926743 | 3.790944 | 3.68226 | 3.593073 | 17 |
18 | 8.285497 | 6.012897 | 5.09192 | 4.579022 | 4.247909 | 4.014623 | 3.840626 | 3.705424 | 3.597052 | 3.508148 | 18 |
19 | 8.184998 | 5.925926 | 5.010293 | 4.500237 | 4.170772 | 3.938567 | 3.765251 | 3.630532 | 3.522501 | 3.433797 | 19 |
20 | 8.095981 | 5.84896 | 4.938215 | 4.430717 | 4.102674 | 3.871435 | 3.698744 | 3.564423 | 3.456677 | 3.3682 | 20 |
21 | 8.016627 | 5.780407 | 4.874039 | 4.368815 | 4.042136 | 3.811749 | 3.63957 | 3.505647 | 3.398156 | 3.309822 | 21 |
22 | 7.945346 | 5.719016 | 4.816627 | 4.313449 | 3.987964 | 3.758316 | 3.586649 | 3.453039 | 3.345775 | 3.257611 | 22 |
23 | 7.881113 | 5.663708 | 4.764843 | 4.263541 | 3.939192 | 3.710227 | 3.539014 | 3.405688 | 3.298624 | 3.210602 | 23 |
24 | 7.822905 | 5.613629 | 4.718061 | 4.218464 | 3.895082 | 3.666713 | 3.495927 | 3.362857 | 3.255991 | 3.168054 | 24 |
25 | 7.769813 | 5.56804 | 4.675485 | 4.177423 | 3.85495 | 3.627179 | 3.456762 | 3.323919 | 3.217224 | 3.129401 | 25 |
26 | 7.721269 | 5.526317 | 4.636547 | 4.139963 | 3.818343 | 3.591083 | 3.421007 | 3.288392 | 3.18181 | 3.094101 | 26 |
27 | 7.676704 | 5.488118 | 4.600906 | 4.10563 | 3.784749 | 3.558 | 3.388209 | 3.255821 | 3.149381 | 3.061757 | 27 |
28 | 7.635663 | 5.452932 | 4.568108 | 4.074025 | 3.753883 | 3.52756 | 3.358082 | 3.225864 | 3.119538 | 3.032 | 28 |
30 | 7.562448 | 5.390348 | 4.509729 | 4.017863 | 3.699029 | 3.473474 | 3.304507 | 3.17263 | 3.066532 | 2.979107 | 30 |
40 | 7.314156 | 5.178492 | 4.312597 | 3.828291 | 3.513833 | 3.291007 | 3.123773 | 2.992977 | 2.88756 | 2.800533 | 40 |
50 | 7.17057 | 5.05662 | 4.199364 | 3.719549 | 3.407678 | 3.186443 | 3.020176 | 2.890005 | 2.784958 | 2.69813 | 50 |
60 | 7.077119 | 4.977437 | 4.125894 | 3.649063 | 3.338869 | 3.118686 | 2.953044 | 2.823271 | 2.718451 | 2.631751 | 60 |
120 | 6.850883 | 4.7865 | 3.949083 | 3.479528 | 3.17354 | 2.955858 | 2.791765 | 2.662915 | 2.558579 | 2.472078 | 120 |
100,000 | 6.635105 | 4.605397 | 3.781821 | 3.319371 | 3.017448 | 2.802153 | 2.63951 | 2.511456 | 2.407518 | 2.321102 | 100,000 |
df2\df1 | 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 | df1/df2 |
1 | 6083.399 | 6106.682 | 6125.774 | 6143.004 | 6156.974 | 6170.012 | 6181.188 | 6191.432 | 6200.746 | 6208.662 | 1 |
2 | 99.40777 | 99.41868 | 99.42232 | 99.42596 | 99.43324 | 99.43687 | 99.44051 | 99.44415 | 99.44779 | 99.44779 | 2 |
3 | 27.13205 | 27.05201 | 26.98289 | 26.92377 | 26.87193 | 26.82646 | 26.78644 | 26.75097 | 26.71914 | 26.69003 | 3 |
4 | 14.45233 | 14.37365 | 14.30635 | 14.2486 | 14.19812 | 14.15401 | 14.11445 | 14.07943 | 14.04806 | 14.01941 | 4 |
5 | 9.962605 | 9.888254 | 9.824817 | 9.770019 | 9.722271 | 9.680207 | 9.642918 | 9.609494 | 9.579708 | 9.55265 | 5 |
6 | 7.789595 | 7.718313 | 7.657491 | 7.604967 | 7.559038 | 7.518565 | 7.48264 | 7.450581 | 7.421932 | 7.395784 | 6 |
7 | 6.53813 | 6.469122 | 6.410005 | 6.35896 | 6.314394 | 6.275059 | 6.240043 | 6.208893 | 6.180812 | 6.15546 | 7 |
8 | 5.73425 | 5.66672 | 5.608911 | 5.558832 | 5.515176 | 5.476522 | 5.442303 | 5.411607 | 5.384095 | 5.359084 | 8 |
9 | 5.177867 | 5.111474 | 5.054517 | 5.005177 | 4.962089 | 4.924004 | 4.890182 | 4.859885 | 4.832657 | 4.807987 | 9 |
10 | 4.77155 | 4.705839 | 4.649621 | 4.600849 | 4.55816 | 4.520416 | 4.486935 | 4.456922 | 4.429864 | 4.405365 | 10 |
11 | 4.462436 | 4.397407 | 4.341643 | 4.29327 | 4.250865 | 4.213462 | 4.180151 | 4.150309 | 4.123422 | 4.099036 | 11 |
12 | 4.219828 | 4.155254 | 4.099832 | 4.051742 | 4.009621 | 3.972389 | 3.939192 | 3.90952 | 3.88269 | 3.858418 | 12 |
13 | 4.024514 | 3.960338 | 3.9052 | 3.857338 | 3.815387 | 3.778268 | 3.745185 | 3.71557 | 3.688854 | 3.66461 | 13 |
14 | 3.864045 | 3.800153 | 3.745242 | 3.697551 | 3.655714 | 3.61868 | 3.585683 | 3.556124 | 3.529408 | 3.505221 | 14 |
15 | 3.729895 | 3.66623 | 3.611518 | 3.56394 | 3.522189 | 3.485241 | 3.452328 | 3.42277 | 3.396082 | 3.371895 | 15 |
16 | 3.616151 | 3.552685 | 3.498087 | 3.450623 | 3.408957 | 3.372065 | 3.339153 | 3.309594 | 3.282935 | 3.25872 | 16 |
17 | 3.518494 | 3.455199 | 3.400714 | 3.353307 | 3.311698 | 3.274806 | 3.241922 | 3.212392 | 3.185733 | 3.161517 | 17 |
18 | 3.433797 | 3.370616 | 3.316217 | 3.268894 | 3.227285 | 3.190451 | 3.157538 | 3.128008 | 3.10132 | 3.077105 | 18 |
19 | 3.359617 | 3.29652 | 3.242207 | 3.194913 | 3.153332 | 3.116497 | 3.083613 | 3.054055 | 3.027367 | 3.003095 | 19 |
20 | 3.294105 | 3.231122 | 3.176865 | 3.1296 | 3.088047 | 3.051184 | 3.0183 | 2.988742 | 2.961997 | 2.937725 | 20 |
21 | 3.235868 | 3.172943 | 3.118743 | 3.071506 | 3.029953 | 2.99309 | 2.960178 | 2.930619 | 2.903846 | 2.879545 | 21 |
22 | 3.183743 | 3.120874 | 3.066702 | 3.019494 | 2.977941 | 2.941078 | 2.908166 | 2.878551 | 2.851777 | 2.827448 | 22 |
23 | 3.136819 | 3.074035 | 3.019863 | 2.972655 | 2.931131 | 2.89424 | 2.861299 | 2.831683 | 2.804882 | 2.780496 | 23 |
24 | 3.094357 | 3.03163 | 2.977487 | 2.930278 | 2.888726 | 2.851863 | 2.818894 | 2.789221 | 2.762391 | 2.738005 | 24 |
25 | 3.05576 | 2.993062 | 2.938947 | 2.891738 | 2.850186 | 2.813294 | 2.780297 | 2.750625 | 2.723766 | 2.699323 | 25 |
26 | 3.020546 | 2.957847 | 2.903761 | 2.856552 | 2.814971 | 2.77808 | 2.745054 | 2.715353 | 2.688452 | 2.663995 | 26 |
27 | 2.98823 | 2.92556 | 2.871502 | 2.824294 | 2.782713 | 2.745765 | 2.712738 | 2.682995 | 2.656066 | 2.63158 | 27 |
28 | 2.958501 | 2.895888 | 2.841801 | 2.794593 | 2.753012 | 2.716035 | 2.682981 | 2.653223 | 2.62628 | 2.601752 | 28 |
30 | 2.905693 | 2.843109 | 2.789022 | 2.741814 | 2.700176 | 2.663199 | 2.630088 | 2.600245 | 2.573245 | 2.54866 | 30 |
40 | 2.727347 | 2.664819 | 2.610733 | 2.563411 | 2.521617 | 2.484427 | 2.451088 | 2.421018 | 2.393733 | 2.368878 | 40 |
50 | 2.625029 | 2.562501 | 2.50833 | 2.460894 | 2.418957 | 2.381597 | 2.348074 | 2.317805 | 2.290321 | 2.265239 | 50 |
60 | 2.558664 | 2.496108 | 2.44188 | 2.394344 | 2.352294 | 2.314806 | 2.281126 | 2.250701 | 2.223047 | 2.197808 | 60 |
120 | 2.398991 | 2.336293 | 2.281809 | 2.233946 | 2.191499 | 2.15357 | 2.119435 | 2.088512 | 2.060347 | 2.034582 | 120 |
100,000 | 2.247901 | 2.184919 | 2.130037 | 2.081691 | 2.038703 | 2.000178 | 1.965397 | 1.933813 | 1.904965 | 1.87849 | 100,000 |
df2\df1 | 21 | 22 | 23 | 24 | 25 | 30 | 40 | 60 | 120 | 10000 | df1/df2 |
1 | 6216.113 | 6223.097 | 6228.685 | 6234.273 | 6239.861 | 6260.35 | 6286.427 | 6312.97 | 6339.513 | 6365.59 | 1 |
2 | 99.45143 | 99.45506 | 99.45506 | 99.45506 | 99.4587 | 99.46598 | 99.47689 | 99.48417 | 99.49144 | 99.49872 | 2 |
3 | 26.66366 | 26.6391 | 26.61727 | 26.59726 | 26.57907 | 26.50449 | 26.41082 | 26.31623 | 26.22073 | 26.12614 | 3 |
4 | 13.99394 | 13.97029 | 13.94892 | 13.92891 | 13.91072 | 13.83751 | 13.74519 | 13.6522 | 13.55829 | 13.46416 | 4 |
5 | 9.528094 | 9.505811 | 9.485348 | 9.466476 | 9.449195 | 9.379391 | 9.29117 | 9.20204 | 9.111773 | 9.021505 | 5 |
6 | 7.372137 | 7.35065 | 7.330868 | 7.312792 | 7.295966 | 7.22855 | 7.143171 | 7.056769 | 6.969003 | 6.881123 | 6 |
7 | 6.132382 | 6.11135 | 6.092023 | 6.074288 | 6.057917 | 5.991978 | 5.908419 | 5.823608 | 5.73732 | 5.650577 | 7 |
8 | 5.33646 | 5.315712 | 5.296727 | 5.279276 | 5.263132 | 5.198103 | 5.115567 | 5.031609 | 4.94606 | 4.859885 | 8 |
9 | 4.785534 | 4.76507 | 4.746312 | 4.729031 | 4.713002 | 4.648598 | 4.566687 | 4.48307 | 4.397748 | 4.311573 | 9 |
10 | 4.383139 | 4.362789 | 4.344088 | 4.326921 | 4.311062 | 4.246942 | 4.165258 | 4.081869 | 3.99649 | 3.910031 | 10 |
11 | 4.076867 | 4.056631 | 4.038043 | 4.020933 | 4.005074 | 3.941125 | 3.859554 | 3.776051 | 3.690445 | 3.603532 | 11 |
12 | 3.836305 | 3.816126 | 3.797595 | 3.780485 | 3.764683 | 3.700791 | 3.619164 | 3.53549 | 3.449429 | 3.36189 | 12 |
13 | 3.642526 | 3.622347 | 3.603816 | 3.586763 | 3.57096 | 3.50704 | 3.425271 | 3.341285 | 3.25474 | 3.166491 | 13 |
14 | 3.483194 | 3.463015 | 3.444484 | 3.427374 | 3.411571 | 3.347594 | 3.265654 | 3.18127 | 3.094186 | 3.005113 | 14 |
15 | 3.34984 | 3.32966 | 3.311129 | 3.294019 | 3.278217 | 3.214097 | 3.131902 | 3.047148 | 2.959439 | 2.869541 | 15 |
16 | 3.236664 | 3.216485 | 3.197925 | 3.180816 | 3.164985 | 3.100723 | 3.018243 | 2.933035 | 2.844729 | 2.75395 | 16 |
17 | 3.139434 | 3.119226 | 3.100638 | 3.0835 | 3.06764 | 3.003237 | 2.920444 | 2.83481 | 2.74585 | 2.654161 | 17 |
18 | 3.054993 | 3.034756 | 3.01614 | 2.998974 | 2.983086 | 2.918512 | 2.835407 | 2.749317 | 2.659704 | 2.567106 | 18 |
19 | 2.980983 | 2.960718 | 2.942073 | 2.924878 | 2.908934 | 2.844189 | 2.7608 | 2.674199 | 2.583931 | 2.490452 | 19 |
20 | 2.915584 | 2.895291 | 2.876618 | 2.859366 | 2.843393 | 2.778478 | 2.694748 | 2.60772 | 2.516771 | 2.422368 | 20 |
21 | 2.857377 | 2.837027 | 2.818325 | 2.801045 | 2.785043 | 2.719958 | 2.635886 | 2.548404 | 2.456815 | 2.361489 | 21 |
22 | 2.805223 | 2.784873 | 2.766114 | 2.748806 | 2.732776 | 2.667491 | 2.583107 | 2.495142 | 2.402913 | 2.306678 | 22 |
23 | 2.758242 | 2.737849 | 2.719077 | 2.701711 | 2.685653 | 2.620197 | 2.535501 | 2.447081 | 2.354199 | 2.257067 | 23 |
24 | 2.715723 | 2.695273 | 2.676444 | 2.659078 | 2.642963 | 2.577337 | 2.492328 | 2.403453 | 2.309946 | 2.21192 | 24 |
25 | 2.677012 | 2.65652 | 2.637677 | 2.620254 | 2.604111 | 2.538314 | 2.452992 | 2.363691 | 2.269559 | 2.170637 | 25 |
26 | 2.641627 | 2.621135 | 2.602235 | 2.584784 | 2.568612 | 2.502617 | 2.417011 | 2.327283 | 2.232539 | 2.132737 | 26 |
27 | 2.609198 | 2.588649 | 2.56972 | 2.552241 | 2.536012 | 2.469875 | 2.383956 | 2.293802 | 2.198462 | 2.097792 | 27 |
28 | 2.579327 | 2.55875 | 2.539792 | 2.52227 | 2.506027 | 2.439691 | 2.353502 | 2.262937 | 2.166999 | 2.065462 | 28 |
30 | 2.526178 | 2.505544 | 2.486502 | 2.468923 | 2.452595 | 2.385974 | 2.299203 | 2.207855 | 2.110767 | 2.007539 | 30 |
40 | 2.346113 | 2.32518 | 2.305882 | 2.288004 | 2.271392 | 2.203379 | 2.114234 | 2.019405 | 1.917186 | 1.806136 | 40 |
50 | 2.24226 | 2.221114 | 2.201588 | 2.183484 | 2.166658 | 2.097593 | 2.006587 | 1.909029 | 1.802597 | 1.684661 | 50 |
60 | 2.174659 | 2.153342 | 2.133632 | 2.115371 | 2.098375 | 2.028472 | 1.936016 | 1.836256 | 1.72632 | 1.602288 | 60 |
120 | 2.010907 | 1.989051 | 1.968822 | 1.950013 | 1.932492 | 1.860002 | 1.762849 | 1.655692 | 1.532992 | 1.382666 | 120 |
100,000 | 1.854097 | 1.831523 | 1.810548 | 1.791015 | 1.772754 | 1.696598 | 1.592475 | 1.473214 | 1.324857 | 1.034879 | 100,000 |
F Distribution Table for α = 0.025
df2/df1 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | df1/df2 |
1 | 647.7931 | 799.4822 | 864.1509 | 899.5994 | 921.8347 | 937.1142 | 948.2028 | 956.6429 | 963.2786 | 968.6337 | 1 |
2 | 38.50619 | 39.00004 | 39.16557 | 39.24833 | 39.29836 | 39.3311 | 39.35565 | 39.37294 | 39.38658 | 39.3984 | 2 |
3 | 17.44343 | 16.04417 | 15.43913 | 15.10102 | 14.88479 | 14.73472 | 14.62445 | 14.53986 | 14.47302 | 14.4189 | 3 |
4 | 12.21792 | 10.64905 | 9.979203 | 9.604491 | 9.364499 | 9.197265 | 9.074142 | 8.979555 | 8.904635 | 8.843926 | 4 |
5 | 10.00694 | 8.433631 | 7.76356 | 7.387882 | 7.146355 | 6.9777 | 6.853043 | 6.757205 | 6.681034 | 6.619189 | 5 |
6 | 8.813117 | 7.259871 | 6.598782 | 6.22714 | 5.987545 | 5.819743 | 5.695483 | 5.599645 | 5.523418 | 5.461345 | 6 |
7 | 8.072675 | 6.541541 | 5.889831 | 5.522594 | 5.285244 | 5.118579 | 4.994888 | 4.899334 | 4.823221 | 4.761119 | 7 |
8 | 7.570861 | 6.059452 | 5.415984 | 5.052641 | 4.817281 | 4.651696 | 4.528545 | 4.433275 | 4.357219 | 4.295117 | 8 |
9 | 7.20928 | 5.714696 | 5.078107 | 4.718061 | 4.484406 | 4.31973 | 4.197034 | 4.101963 | 4.025992 | 3.963862 | 9 |
10 | 6.936716 | 5.4564 | 4.825608 | 4.468347 | 4.236085 | 4.07212 | 3.949822 | 3.854893 | 3.77895 | 3.716792 | 10 |
11 | 6.724122 | 5.255885 | 4.63001 | 4.27508 | 4.044011 | 3.880643 | 3.758629 | 3.663814 | 3.5879 | 3.52567 | 11 |
12 | 6.553762 | 5.09587 | 4.474202 | 4.121205 | 3.891131 | 3.728303 | 3.606516 | 3.511786 | 3.435844 | 3.373543 | 12 |
13 | 6.414268 | 4.965273 | 4.347186 | 3.995893 | 3.766672 | 3.604256 | 3.482668 | 3.387981 | 3.312039 | 3.249667 | 13 |
14 | 6.29791 | 4.856702 | 4.241713 | 3.891927 | 3.663416 | 3.501356 | 3.379938 | 3.285294 | 3.209294 | 3.146852 | 14 |
15 | 6.199514 | 4.765042 | 4.15281 | 3.804274 | 3.576417 | 3.414669 | 3.293366 | 3.198735 | 3.122707 | 3.060194 | 15 |
16 | 6.115101 | 4.686683 | 4.07681 | 3.729411 | 3.502123 | 3.340631 | 3.219441 | 3.124825 | 3.048754 | 2.986155 | 16 |
17 | 6.042001 | 4.618869 | 4.011156 | 3.664752 | 3.437947 | 3.276682 | 3.155577 | 3.060975 | 2.984862 | 2.922192 | 17 |
18 | 5.978052 | 4.559666 | 3.953858 | 3.608335 | 3.38197 | 3.220919 | 3.099871 | 3.005269 | 2.929113 | 2.866372 | 18 |
19 | 5.921606 | 4.507513 | 3.903438 | 3.558711 | 3.332715 | 3.171849 | 3.050872 | 2.956256 | 2.880057 | 2.817245 | 19 |
20 | 5.87147 | 4.461242 | 3.858702 | 3.514685 | 3.28906 | 3.128349 | 3.007415 | 2.912799 | 2.836543 | 2.773675 | 20 |
21 | 5.826621 | 4.419917 | 3.818769 | 3.475407 | 3.250079 | 3.089511 | 2.968633 | 2.874003 | 2.797705 | 2.734765 | 21 |
22 | 5.786319 | 4.38277 | 3.782887 | 3.440135 | 3.215092 | 3.054637 | 2.933803 | 2.839158 | 2.762818 | 2.699807 | 22 |
23 | 5.749826 | 4.349204 | 3.750486 | 3.408275 | 3.183487 | 3.02316 | 2.90234 | 2.807695 | 2.731312 | 2.668244 | 23 |
24 | 5.716629 | 4.318736 | 3.721084 | 3.379355 | 3.15481 | 2.994582 | 2.873804 | 2.779132 | 2.702706 | 2.639595 | 24 |
25 | 5.686388 | 4.290939 | 3.694282 | 3.353009 | 3.12869 | 2.968548 | 2.847798 | 2.753112 | 2.676643 | 2.613461 | 25 |
26 | 5.658649 | 4.265473 | 3.669726 | 3.328893 | 3.104773 | 2.944716 | 2.823981 | 2.72928 | 2.652783 | 2.589552 | 26 |
27 | 5.633126 | 4.242082 | 3.647187 | 3.306738 | 3.082803 | 2.922832 | 2.802125 | 2.707395 | 2.630856 | 2.567575 | 27 |
28 | 5.609564 | 4.22051 | 3.626411 | 3.286317 | 3.062553 | 2.902652 | 2.78196 | 2.687216 | 2.610648 | 2.54731 | 28 |
30 | 5.567529 | 4.182056 | 3.589349 | 3.249923 | 3.026472 | 2.866699 | 2.74602 | 2.651262 | 2.574609 | 2.511186 | 30 |
40 | 5.423942 | 4.051003 | 3.463271 | 3.126118 | 2.903718 | 2.744386 | 2.623779 | 2.528864 | 2.451941 | 2.388163 | 40 |
50 | 5.340326 | 3.974918 | 3.390198 | 3.05441 | 2.83265 | 2.673559 | 2.552973 | 2.457938 | 2.380823 | 2.316796 | 50 |
60 | 5.285614 | 3.925265 | 3.342521 | 3.007656 | 2.786308 | 2.627374 | 2.506795 | 2.411667 | 2.334403 | 2.270198 | 60 |
120 | 5.152344 | 3.804644 | 3.226887 | 2.894311 | 2.673985 | 2.515407 | 2.394799 | 2.299409 | 2.221732 | 2.157009 | 120 |
100,000 | 5.024049 | 3.689024 | 3.11627 | 2.785953 | 2.566622 | 2.408356 | 2.287663 | 2.191946 | 2.113765 | 2.048445 | 100,000 |
df2/df1 | 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 | df1/df2 |
1 | 973.0284 | 976.7246 | 979.8387 | 982.5453 | 984.8736 | 986.9109 | 988.7153 | 990.3451 | 991.8003 | 993.0809 | 1 |
2 | 39.40659 | 39.41477 | 39.42114 | 39.4266 | 39.43114 | 39.43569 | 39.43933 | 39.44206 | 39.44569 | 39.44751 | 2 |
3 | 14.37411 | 14.33659 | 14.30453 | 14.27679 | 14.25269 | 14.23155 | 14.21267 | 14.19608 | 14.18084 | 14.16743 | 3 |
4 | 8.793563 | 8.751158 | 8.715006 | 8.683742 | 8.656571 | 8.632583 | 8.611323 | 8.592338 | 8.575284 | 8.559937 | 4 |
5 | 6.567802 | 6.524544 | 6.487596 | 6.455593 | 6.42774 | 6.403184 | 6.381356 | 6.361915 | 6.344408 | 6.328548 | 5 |
6 | 5.40976 | 5.366246 | 5.329014 | 5.296812 | 5.268646 | 5.243862 | 5.221807 | 5.202139 | 5.184404 | 5.168403 | 6 |
7 | 4.709477 | 4.665822 | 4.628475 | 4.596075 | 4.567795 | 4.542812 | 4.520643 | 4.500777 | 4.482899 | 4.466756 | 7 |
8 | 4.243418 | 4.199677 | 4.16216 | 4.129674 | 4.101224 | 4.076099 | 4.05376 | 4.033751 | 4.01576 | 3.999446 | 8 |
9 | 3.912078 | 3.868223 | 3.830593 | 3.797965 | 3.769344 | 3.744105 | 3.721624 | 3.701473 | 3.68334 | 3.666912 | 9 |
10 | 3.664923 | 3.620954 | 3.583182 | 3.550412 | 3.521677 | 3.496268 | 3.473644 | 3.45338 | 3.435105 | 3.418535 | 10 |
11 | 3.473701 | 3.429619 | 3.391733 | 3.358821 | 3.329944 | 3.304393 | 3.281642 | 3.261235 | 3.242832 | 3.226148 | 11 |
12 | 3.321475 | 3.277279 | 3.239265 | 3.20621 | 3.177206 | 3.151527 | 3.128633 | 3.108113 | 3.089582 | 3.07277 | 12 |
13 | 3.197499 | 3.153175 | 3.115034 | 3.081851 | 3.052719 | 3.026912 | 3.00389 | 2.983242 | 2.964583 | 2.947672 | 13 |
14 | 3.094584 | 3.050161 | 3.011891 | 2.978595 | 2.949321 | 2.9234 | 2.900265 | 2.879489 | 2.860716 | 2.843692 | 14 |
15 | 3.007827 | 2.963276 | 2.924907 | 2.891483 | 2.862095 | 2.836046 | 2.812797 | 2.791907 | 2.773035 | 2.755897 | 15 |
16 | 2.933703 | 2.889053 | 2.850555 | 2.817018 | 2.787516 | 2.761354 | 2.738005 | 2.717002 | 2.69803 | 2.680792 | 16 |
17 | 2.869641 | 2.824891 | 2.786294 | 2.752643 | 2.723027 | 2.696765 | 2.673303 | 2.6522 | 2.633129 | 2.615799 | 17 |
18 | 2.813735 | 2.768886 | 2.730189 | 2.696424 | 2.666724 | 2.640348 | 2.616787 | 2.595598 | 2.576428 | 2.559005 | 18 |
19 | 2.764523 | 2.719574 | 2.680778 | 2.646928 | 2.617114 | 2.590653 | 2.566992 | 2.545704 | 2.526448 | 2.508941 | 19 |
20 | 2.720867 | 2.675833 | 2.636938 | 2.603002 | 2.573103 | 2.546543 | 2.522789 | 2.501416 | 2.482075 | 2.464489 | 20 |
21 | 2.681873 | 2.636767 | 2.597787 | 2.563752 | 2.533767 | 2.507122 | 2.483283 | 2.461832 | 2.442405 | 2.424734 | 21 |
22 | 2.646857 | 2.601652 | 2.562601 | 2.528481 | 2.49841 | 2.47168 | 2.447763 | 2.426226 | 2.406722 | 2.388987 | 22 |
23 | 2.615209 | 2.569941 | 2.530804 | 2.496606 | 2.46645 | 2.439648 | 2.415646 | 2.394039 | 2.374463 | 2.35665 | 23 |
24 | 2.586489 | 2.541142 | 2.501935 | 2.467658 | 2.437432 | 2.410545 | 2.386479 | 2.3648 | 2.345153 | 2.327269 | 24 |
25 | 2.560299 | 2.514895 | 2.475602 | 2.441254 | 2.410957 | 2.383999 | 2.359869 | 2.338112 | 2.318401 | 2.300453 | 25 |
26 | 2.536325 | 2.49085 | 2.4515 | 2.417082 | 2.386706 | 2.359684 | 2.335483 | 2.313662 | 2.293888 | 2.275883 | 26 |
27 | 2.514298 | 2.468752 | 2.429331 | 2.394856 | 2.364416 | 2.33733 | 2.313058 | 2.291173 | 2.271342 | 2.253273 | 27 |
28 | 2.493977 | 2.448374 | 2.408896 | 2.37435 | 2.343846 | 2.316696 | 2.292367 | 2.270426 | 2.250538 | 2.232412 | 28 |
30 | 2.457753 | 2.412037 | 2.372438 | 2.337771 | 2.307154 | 2.27989 | 2.255447 | 2.233392 | 2.21339 | 2.195158 | 30 |
40 | 2.334311 | 2.288161 | 2.248107 | 2.212985 | 2.181906 | 2.154181 | 2.129291 | 2.106795 | 2.086367 | 2.067715 | 40 |
50 | 2.262666 | 2.216211 | 2.175845 | 2.140411 | 2.109012 | 2.080974 | 2.055771 | 2.032969 | 2.012236 | 1.993293 | 50 |
60 | 2.215863 | 2.169195 | 2.128601 | 2.092939 | 2.061306 | 2.03304 | 2.00761 | 1.984581 | 1.963631 | 1.944471 | 60 |
120 | 2.102105 | 2.054819 | 2.013593 | 1.977277 | 1.94499 | 1.916071 | 1.88998 | 1.866304 | 1.844711 | 1.824919 | 120 |
100,000 | 1.992859 | 1.944851 | 1.902869 | 1.865772 | 1.832692 | 1.802967 | 1.776076 | 1.751602 | 1.729205 | 1.708617 | 100,000 |
df2/df1 | 21 | 22 | 23 | 24 | 25 | 30 | 40 | 60 | 120 | 10000 | df1/df2 |
1 | 994.3033 | 995.351 | 996.3405 | 997.2719 | 998.0868 | 1001.405 | 1005.596 | 1009.787 | 1014.036 | 1018.227 | 1 |
2 | 39.45024 | 39.45206 | 39.45479 | 39.45661 | 39.45752 | 39.46479 | 39.47298 | 39.48117 | 39.48935 | 39.49754 | 2 |
3 | 14.15515 | 14.14378 | 14.13355 | 14.12423 | 14.11536 | 14.08057 | 14.03646 | 13.99212 | 13.94733 | 13.90254 | 3 |
4 | 8.545953 | 8.53322 | 8.521624 | 8.510824 | 8.501047 | 8.461257 | 8.411121 | 8.360416 | 8.309144 | 8.257985 | 4 |
5 | 6.314167 | 6.301093 | 6.289042 | 6.278015 | 6.26784 | 6.226855 | 6.175071 | 6.122548 | 6.069286 | 6.015966 | 5 |
6 | 5.153822 | 5.140578 | 5.128385 | 5.117215 | 5.10687 | 5.065203 | 5.012453 | 4.958906 | 4.90445 | 4.849767 | 6 |
7 | 4.452033 | 4.438618 | 4.426312 | 4.415 | 4.404541 | 4.362391 | 4.308873 | 4.254389 | 4.19891 | 4.143033 | 7 |
8 | 3.98461 | 3.971081 | 3.958661 | 3.947207 | 3.936663 | 3.894002 | 3.839773 | 3.784436 | 3.727934 | 3.670891 | 8 |
9 | 3.651962 | 3.638291 | 3.625743 | 3.61419 | 3.603532 | 3.560416 | 3.505477 | 3.449301 | 3.39179 | 3.333568 | 9 |
10 | 3.403471 | 3.389687 | 3.377025 | 3.365358 | 3.354586 | 3.311015 | 3.255394 | 3.198409 | 3.139917 | 3.080515 | 10 |
11 | 3.210943 | 3.197044 | 3.184283 | 3.172516 | 3.161645 | 3.11762 | 3.061331 | 3.003535 | 2.944077 | 2.883539 | 11 |
12 | 3.057465 | 3.043453 | 3.030578 | 3.018712 | 3.007742 | 2.963276 | 2.906347 | 2.84777 | 2.78736 | 2.725685 | 12 |
13 | 2.932239 | 2.918128 | 2.905153 | 2.893188 | 2.882132 | 2.837254 | 2.7797 | 2.720355 | 2.659021 | 2.596238 | 13 |
14 | 2.828159 | 2.813948 | 2.800874 | 2.788809 | 2.777654 | 2.732378 | 2.674227 | 2.614158 | 2.551928 | 2.488036 | 14 |
15 | 2.740265 | 2.725955 | 2.712781 | 2.700645 | 2.68939 | 2.643731 | 2.585011 | 2.524231 | 2.461121 | 2.396149 | 15 |
16 | 2.665061 | 2.650651 | 2.637393 | 2.625171 | 2.613845 | 2.567816 | 2.508528 | 2.447067 | 2.383111 | 2.317094 | 16 |
17 | 2.599975 | 2.58548 | 2.572136 | 2.55983 | 2.548418 | 2.502041 | 2.442228 | 2.380105 | 2.315325 | 2.248271 | 17 |
18 | 2.543089 | 2.528509 | 2.515094 | 2.502702 | 2.49122 | 2.444509 | 2.384184 | 2.321421 | 2.255838 | 2.187775 | 18 |
19 | 2.492953 | 2.478288 | 2.464787 | 2.452325 | 2.440771 | 2.393733 | 2.332925 | 2.269552 | 2.203194 | 2.134129 | 19 |
20 | 2.448417 | 2.433673 | 2.420101 | 2.40756 | 2.395936 | 2.3486 | 2.287322 | 2.223359 | 2.156241 | 2.08621 | 20 |
21 | 2.408591 | 2.393776 | 2.380133 | 2.367528 | 2.35584 | 2.308212 | 2.24648 | 2.181949 | 2.114092 | 2.043116 | 21 |
22 | 2.372765 | 2.357879 | 2.344173 | 2.331504 | 2.319752 | 2.27184 | 2.209674 | 2.144596 | 2.076028 | 2.004121 | 22 |
23 | 2.340364 | 2.325415 | 2.311637 | 2.298904 | 2.287095 | 2.23892 | 2.176343 | 2.110724 | 2.041475 | 1.968651 | 23 |
24 | 2.310919 | 2.295906 | 2.282071 | 2.269275 | 2.257408 | 2.208978 | 2.146002 | 2.079872 | 2.009948 | 1.936236 | 24 |
25 | 2.28404 | 2.268962 | 2.255071 | 2.242224 | 2.230301 | 2.181622 | 2.118263 | 2.051635 | 1.981057 | 1.906471 | 25 |
26 | 2.259405 | 2.244271 | 2.230323 | 2.217419 | 2.205446 | 2.156526 | 2.092804 | 2.0257 | 1.954483 | 1.879037 | 26 |
27 | 2.236746 | 2.221554 | 2.20755 | 2.194597 | 2.182574 | 2.133426 | 2.069342 | 2.001784 | 1.929948 | 1.853657 | 27 |
28 | 2.215828 | 2.200579 | 2.186525 | 2.173522 | 2.16145 | 2.112088 | 2.047663 | 1.97965 | 1.907217 | 1.830102 | 28 |
30 | 2.178467 | 2.163134 | 2.14898 | 2.135877 | 2.12372 | 2.073946 | 2.008875 | 1.940009 | 1.866418 | 1.787697 | 30 |
40 | 2.050612 | 2.034881 | 2.020343 | 2.006871 | 1.994344 | 1.942915 | 1.8752 | 1.802768 | 1.724203 | 1.638238 | 40 |
50 | 1.975906 | 1.95989 | 1.945082 | 1.93134 | 1.918558 | 1.865942 | 1.796273 | 1.721144 | 1.638622 | 1.54645 | 50 |
60 | 1.926871 | 1.910649 | 1.895636 | 1.881695 | 1.86872 | 1.815202 | 1.744048 | 1.666791 | 1.581036 | 1.483446 | 60 |
120 | 1.806701 | 1.789864 | 1.77425 | 1.759723 | 1.746173 | 1.689944 | 1.614147 | 1.529941 | 1.432676 | 1.312163 | 120 |
100,000 | 1.68961 | 1.671992 | 1.655604 | 1.640313 | 1.626002 | 1.566125 | 1.483702 | 1.38847 | 1.268646 | 1.029319 | 100,000 |
F Distribution Table for α = 0.05
df2/df1 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | df1/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 |
df2/df1 | 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 | df1/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 |
df2/df1 | 21 | 22 | 23 | 24 | 25 | 30 | 40 | 60 | 120 | 10000 | df1/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 |
F Distribution Table for α = 0.1
df2/df1 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | df1/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 |
df2/df1 | 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 | df1/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 |
df2/df1 | 21 | 22 | 23 | 24 | 25 | 30 | 40 | 60 | 120 | 10000 | df1/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 |