Critical Values of Fisher F Distribution (1≤ν1≤10)
One sided test Prob(F≥c) = .001 = .1% significance level
Reference: NIST/SEMATECH e-Handbook of Statistical Methods |
ν2\ν1 |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
1 | 405284.07 | 499999.50 | 540379.20 | 562499.58 | 576404.56 | 585937.11 | 592873.29 | 598144.16 | 602283.99 | 605620.97 |
2 | 998.50025 | 999.00000 | 999.16662 | 999.24994 | 999.29993 | 999.33326 | 999.35707 | 999.37492 | 999.38881 | 999.39992 |
3 | 167.02922 | 148.50000 | 141.10846 | 137.10036 | 134.58002 | 132.84747 | 131.58286 | 130.61901 | 129.85996 | 129.24668 |
4 | 74.137293 | 61.245553 | 56.177188 | 53.435829 | 51.711569 | 50.525022 | 49.657887 | 48.996189 | 48.474511 | 48.052589 |
5 | 47.180779 | 37.122330 | 33.202463 | 31.085006 | 29.752399 | 28.834361 | 28.162647 | 27.649475 | 27.244459 | 26.916568 |
6 | 35.507490 | 27.000000 | 23.703309 | 21.923541 | 20.802664 | 20.029655 | 19.463408 | 19.030333 | 18.688182 | 18.410925 |
7 | 29.245193 | 21.688999 | 18.772270 | 17.197994 | 16.205800 | 15.520840 | 15.018557 | 14.634007 | 14.329900 | 14.083255 |
8 | 25.414760 | 18.493653 | 15.829490 | 14.391585 | 13.484689 | 12.858026 | 12.398041 | 12.045541 | 11.766532 | 11.540056 |
9 | 22.857125 | 16.387150 | 13.901803 | 12.560319 | 11.713667 | 11.128130 | 10.697948 | 10.368000 | 10.106628 | 9.8943049 |
10 | 21.039595 | 14.905359 | 12.552745 | 11.282752 | 10.480722 | 9.9256129 | 9.5174543 | 9.2041499 | 8.9557741 | 8.7538663 |
11 | 19.686786 | 13.811555 | 11.561126 | 10.346116 | 9.5783750 | 9.0466219 | 8.6553479 | 8.3547863 | 8.1163473 | 7.9223906 |
12 | 18.643322 | 12.973666 | 10.804204 | 9.6327261 | 8.8921092 | 8.3788142 | 8.0008684 | 7.7103523 | 7.4797358 | 7.2920290 |
13 | 17.815420 | 12.312730 | 10.208936 | 9.0727383 | 8.3540883 | 7.8557282 | 7.4885546 | 7.2061474 | 6.9818365 | 6.7991601 |
14 | 17.143360 | 11.778871 | 9.7293663 | 8.6223196 | 7.9218074 | 7.4357684 | 7.0774723 | 6.8017398 | 6.5826121 | 6.4040647 |
15 | 16.587416 | 11.339148 | 9.3352536 | 8.2526837 | 7.5673920 | 7.0916842 | 6.7408247 | 6.4706769 | 6.2558803 | 6.0807781 |
16 | 16.120196 | 10.970990 | 9.0059369 | 7.9442023 | 7.2718595 | 6.8049346 | 6.4603914 | 6.1949817 | 5.9838550 | 5.8116680 |
17 | 15.722226 | 10.658438 | 8.7268520 | 7.6830621 | 7.0218663 | 6.5624970 | 6.2233827 | 5.9620410 | 5.7540615 | 5.5843711 |
18 | 15.379306 | 10.389912 | 8.4874545 | 7.4592775 | 6.8077759 | 6.3549734 | 6.0205735 | 5.7627612 | 5.5575088 | 5.3899788 |
19 | 15.080841 | 10.156812 | 8.2799321 | 7.2654606 | 6.6224653 | 6.1754216 | 5.8451530 | 5.5904305 | 5.3875629 | 5.2219198 |
20 | 14.818776 | 9.9526231 | 8.0983798 | 7.0960341 | 6.4605618 | 6.0186085 | 5.6919890 | 5.4399932 | 5.2392280 | 5.0752462 |
21 | 14.586878 | 9.7723262 | 7.9382550 | 6.9467124 | 6.3179403 | 5.8805182 | 5.5571449 | 5.3075726 | 5.1086741 | 4.9461656 |
22 | 14.380255 | 9.6119917 | 7.7960087 | 6.8141508 | 6.1913834 | 5.7580203 | 5.4375529 | 5.1901484 | 4.9929179 | 4.8317245 |
23 | 14.195012 | 9.4685020 | 7.6688291 | 6.6957020 | 6.0783462 | 5.6486397 | 5.3307886 | 5.0853342 | 4.8896029 | 4.7295902 |
24 | 14.028011 | 9.3393529 | 7.5544608 | 6.5892445 | 5.9767908 | 5.5503951 | 5.2349116 | 4.9912207 | 4.7968440 | 4.6378969 |
25 | 13.876697 | 9.2225104 | 7.4510747 | 6.4930592 | 5.8850663 | 5.4616824 | 5.1483515 | 4.9062629 | 4.7131157 | 4.5551349 |
26 | 13.738971 | 9.1163056 | 7.3571719 | 6.4057382 | 5.8018220 | 5.3811894 | 5.0698239 | 4.8291973 | 4.6371711 | 4.4800705 |
27 | 13.613087 | 9.0193573 | 7.2715129 | 6.3261186 | 5.7259421 | 5.3078327 | 4.9982687 | 4.7589813 | 4.5679812 | 4.4116855 |
28 | 13.497588 | 8.9305119 | 7.1930643 | 6.2532309 | 5.6564973 | 5.2407100 | 4.9328032 | 4.6947471 | 4.5046897 | 4.3491327 |
29 | 13.391245 | 8.8487994 | 7.1209574 | 6.1862612 | 5.5927075 | 5.1790643 | 4.8726871 | 4.6357667 | 4.4465782 | 4.2917015 |
30 | 13.293014 | 8.7733979 | 7.0544571 | 6.1245210 | 5.5339131 | 5.1222557 | 4.8172945 | 4.5814250 | 4.3930399 | 4.2387918 |
31 | 13.202005 | 8.7036066 | 6.9929374 | 6.0674239 | 5.4795528 | 5.0697397 | 4.7660931 | 4.5311987 | 4.3435586 | 4.1898928 |
32 | 13.117452 | 8.6388244 | 6.9358613 | 6.0144680 | 5.4291459 | 5.0210501 | 4.7186273 | 4.4846401 | 4.2976927 | 4.1445680 |
33 | 13.038693 | 8.5785329 | 6.8827666 | 5.9652205 | 5.3822785 | 4.9757858 | 4.6745048 | 4.4413638 | 4.2550621 | 4.1024413 |
34 | 12.965154 | 8.5222824 | 6.8332523 | 5.9193071 | 5.3385922 | 4.9335993 | 4.6333863 | 4.4010363 | 4.2153378 | 4.0631875 |
35 | 12.896335 | 8.4696813 | 6.7869695 | 5.8764015 | 5.2977753 | 4.8941886 | 4.5949766 | 4.3633676 | 4.1782340 | 4.0265240 |
36 | 12.831796 | 8.4203868 | 6.7436132 | 5.8362190 | 5.2595553 | 4.8572896 | 4.5590177 | 4.3281044 | 4.1435008 | 3.9922036 |
37 | 12.771152 | 8.3740976 | 6.7029153 | 5.7985092 | 5.2236930 | 4.8226708 | 4.5252835 | 4.2950246 | 4.1109192 | 3.9600097 |
38 | 12.714060 | 8.3305479 | 6.6646394 | 5.7630516 | 5.1899778 | 4.7901280 | 4.4935745 | 4.2639321 | 4.0802960 | 3.9297515 |
39 | 12.660219 | 8.2895021 | 6.6285762 | 5.7296510 | 5.1582231 | 4.7594806 | 4.4637144 | 4.2346540 | 4.0514606 | 3.9012603 |
40 | 12.609358 | 8.2507509 | 6.5945400 | 5.6981341 | 5.1282634 | 4.7305683 | 4.4355467 | 4.2070366 | 4.0242614 | 3.8743861 |
41 | 12.561238 | 8.2141077 | 6.5623649 | 5.6683465 | 5.0999513 | 4.7032485 | 4.4089321 | 4.1809429 | 3.9985636 | 3.8489957 |
42 | 12.515643 | 8.1794054 | 6.5319030 | 5.6401500 | 5.0731548 | 4.6773935 | 4.3837460 | 4.1562507 | 3.9742466 | 3.8249699 |
43 | 12.472380 | 8.1464942 | 6.5030211 | 5.6134209 | 5.0477559 | 4.6528890 | 4.3598768 | 4.1328505 | 3.9512025 | 3.8022020 |
44 | 12.431275 | 8.1152392 | 6.4756000 | 5.5880478 | 5.0236484 | 4.6296322 | 4.3372242 | 4.1106437 | 3.9293342 | 3.7805960 |
45 | 12.392170 | 8.0855188 | 6.4495317 | 5.5639305 | 5.0007365 | 4.6075305 | 4.3156978 | 4.0895417 | 3.9085541 | 3.7600655 |
46 | 12.354924 | 8.0572229 | 6.4247188 | 5.5409782 | 4.9789336 | 4.5865001 | 4.2952158 | 4.0694642 | 3.8887834 | 3.7405323 |
47 | 12.319407 | 8.0302516 | 6.4010730 | 5.5191087 | 4.9581614 | 4.5664653 | 4.2757044 | 4.0503387 | 3.8699504 | 3.7219258 |
48 | 12.285501 | 8.0045144 | 6.3785140 | 5.4982474 | 4.9383487 | 4.5473572 | 4.2570962 | 4.0320991 | 3.8519902 | 3.7041817 |
49 | 12.253100 | 7.9799285 | 6.3569688 | 5.4783262 | 4.9194307 | 4.5291131 | 4.2393303 | 4.0146856 | 3.8348436 | 3.6872416 |
50 | 12.222106 | 7.9564185 | 6.3363706 | 5.4592832 | 4.9013482 | 4.5116758 | 4.2223507 | 3.9980433 | 3.8184567 | 3.6710521 |
51 | 12.192429 | 7.9339154 | 6.3166584 | 5.4410616 | 4.8840472 | 4.4949932 | 4.2061067 | 3.9821222 | 3.8027802 | 3.6555647 |
52 | 12.163987 | 7.9123561 | 6.2977765 | 5.4236096 | 4.8674783 | 4.4790173 | 4.1905514 | 3.9668767 | 3.7877691 | 3.6407346 |
53 | 12.136704 | 7.8916824 | 6.2796736 | 5.4068796 | 4.8515960 | 4.4637044 | 4.1756421 | 3.9522646 | 3.7733819 | 3.6265211 |
54 | 12.110512 | 7.8718410 | 6.2623024 | 5.3908276 | 4.8363587 | 4.4490141 | 4.1613396 | 3.9382475 | 3.7595807 | 3.6128866 |
55 | 12.085346 | 7.8527826 | 6.2456197 | 5.3754135 | 4.8217279 | 4.4349092 | 4.1476075 | 3.9247898 | 3.7463304 | 3.5997964 |
56 | 12.061147 | 7.8344620 | 6.2295853 | 5.3606000 | 4.8076681 | 4.4213555 | 4.1344124 | 3.9118586 | 3.7335988 | 3.5872186 |
57 | 12.037860 | 7.8168371 | 6.2141622 | 5.3463527 | 4.7941467 | 4.4083214 | 4.1217237 | 3.8994239 | 3.7213561 | 3.5751239 |
58 | 12.015435 | 7.7998691 | 6.1993162 | 5.3326398 | 4.7811334 | 4.3957776 | 4.1095126 | 3.8874575 | 3.7095746 | 3.5634849 |
59 | 11.993826 | 7.7835220 | 6.1850156 | 5.3194319 | 4.7686001 | 4.3836971 | 4.0977528 | 3.8759336 | 3.6982289 | 3.5522765 |
60 | 11.972987 | 7.7677624 | 6.1712308 | 5.3067016 | 4.7565208 | 4.3720546 | 4.0864198 | 3.8648282 | 3.6872953 | 3.5414752 |
61 | 11.952880 | 7.7525591 | 6.1579345 | 5.2944235 | 4.7448712 | 4.3608269 | 4.0754908 | 3.8541188 | 3.6767517 | 3.5310593 |
62 | 11.933465 | 7.7378834 | 6.1451013 | 5.2825740 | 4.7336290 | 4.3499921 | 4.0649446 | 3.8437847 | 3.6665777 | 3.5210086 |
63 | 11.914709 | 7.7237082 | 6.1327073 | 5.2711311 | 4.7227731 | 4.3395301 | 4.0547615 | 3.8338065 | 3.6567542 | 3.5113041 |
64 | 11.896577 | 7.7100083 | 6.1207304 | 5.2600741 | 4.7122839 | 4.3294219 | 4.0449231 | 3.8241663 | 3.6472635 | 3.5019284 |
65 | 11.879040 | 7.6967604 | 6.1091501 | 5.2493841 | 4.7021434 | 4.3196500 | 4.0354122 | 3.8148471 | 3.6380889 | 3.4928651 |
66 | 11.862069 | 7.6839424 | 6.0979468 | 5.2390429 | 4.6923343 | 4.3101978 | 4.0262127 | 3.8058332 | 3.6292150 | 3.4840988 |
67 | 11.845636 | 7.6715337 | 6.0871025 | 5.2290339 | 4.6828407 | 4.3010500 | 4.0173096 | 3.7971098 | 3.6206272 | 3.4756151 |
68 | 11.829716 | 7.6595152 | 6.0766003 | 5.2193412 | 4.6736477 | 4.2921921 | 4.0086888 | 3.7886633 | 3.6123119 | 3.4674007 |
69 | 11.814287 | 7.6478685 | 6.0664243 | 5.2099502 | 4.6647411 | 4.2836106 | 4.0003372 | 3.7804805 | 3.6042564 | 3.4594430 |
70 | 11.799325 | 7.6365769 | 6.0565594 | 5.2008470 | 4.6561080 | 4.2752926 | 3.9922424 | 3.7725494 | 3.5964487 | 3.4517300 |
71 | 11.784809 | 7.6256243 | 6.0469917 | 5.1920186 | 4.6477358 | 4.2672264 | 3.9843926 | 3.7648585 | 3.5888775 | 3.4442508 |
72 | 11.770721 | 7.6149957 | 6.0377079 | 5.1834527 | 4.6396129 | 4.2594006 | 3.9767770 | 3.7573971 | 3.5815324 | 3.4369948 |
73 | 11.757041 | 7.6046769 | 6.0286956 | 5.1751379 | 4.6317284 | 4.2518047 | 3.9693852 | 3.7501552 | 3.5744032 | 3.4299523 |
74 | 11.743752 | 7.5946547 | 6.0199431 | 5.1670632 | 4.6240720 | 4.2444287 | 3.9622076 | 3.7431231 | 3.5674807 | 3.4231139 |
75 | 11.730837 | 7.5849163 | 6.0114393 | 5.1592184 | 4.6166338 | 4.2372632 | 3.9552349 | 3.7362919 | 3.5607560 | 3.4164709 |
76 | 11.718281 | 7.5754500 | 6.0031737 | 5.1515939 | 4.6094047 | 4.2302993 | 3.9484586 | 3.7296531 | 3.5542208 | 3.4100151 |
77 | 11.706069 | 7.5662444 | 5.9951366 | 5.1441804 | 4.6023761 | 4.2235287 | 3.9418704 | 3.7231987 | 3.5478671 | 3.4037387 |
78 | 11.694187 | 7.5572890 | 5.9873185 | 5.1369694 | 4.5955397 | 4.2169433 | 3.9354626 | 3.7169212 | 3.5416876 | 3.3976342 |
79 | 11.682622 | 7.5485738 | 5.9797107 | 5.1299528 | 4.5888877 | 4.2105359 | 3.9292280 | 3.7108133 | 3.5356751 | 3.3916948 |
80 | 11.671362 | 7.5400891 | 5.9723047 | 5.1231226 | 4.5824128 | 4.2042991 | 3.9231596 | 3.7048684 | 3.5298230 | 3.3859139 |
81 | 11.660394 | 7.5318260 | 5.9650927 | 5.1164717 | 4.5761080 | 4.1982263 | 3.9172509 | 3.6990799 | 3.5241250 | 3.3802852 |
82 | 11.649707 | 7.5237759 | 5.9580672 | 5.1099930 | 4.5699667 | 4.1923112 | 3.9114956 | 3.6934418 | 3.5185750 | 3.3748027 |
83 | 11.639291 | 7.5159307 | 5.9512210 | 5.1036800 | 4.5639827 | 4.1865476 | 3.9058878 | 3.6879483 | 3.5131674 | 3.3694609 |
84 | 11.629136 | 7.5082827 | 5.9445473 | 5.0975264 | 4.5581499 | 4.1809298 | 3.9004221 | 3.6825939 | 3.5078968 | 3.3642544 |
85 | 11.619231 | 7.5008244 | 5.9380397 | 5.0915262 | 4.5524627 | 4.1754524 | 3.8950929 | 3.6773734 | 3.5027580 | 3.3591781 |
86 | 11.609568 | 7.4935491 | 5.9316921 | 5.0856738 | 4.5469158 | 4.1701102 | 3.8898954 | 3.6722819 | 3.4977461 | 3.3542273 |
87 | 11.600138 | 7.4864499 | 5.9254987 | 5.0799638 | 4.5415039 | 4.1648982 | 3.8848246 | 3.6673146 | 3.4928566 | 3.3493972 |
88 | 11.590932 | 7.4795207 | 5.9194539 | 5.0743911 | 4.5362224 | 4.1598118 | 3.8798761 | 3.6624670 | 3.4880849 | 3.3446837 |
89 | 11.581944 | 7.4727553 | 5.9135524 | 5.0689507 | 4.5310664 | 4.1548464 | 3.8750453 | 3.6577349 | 3.4834270 | 3.3400824 |
90 | 11.573164 | 7.4661481 | 5.9077892 | 5.0636380 | 4.5260316 | 4.1499978 | 3.8703283 | 3.6531142 | 3.4788787 | 3.3355895 |
91 | 11.564586 | 7.4596935 | 5.9021595 | 5.0584486 | 4.5211137 | 4.1452619 | 3.8657209 | 3.6486011 | 3.4744363 | 3.3312012 |
92 | 11.556203 | 7.4533863 | 5.8966587 | 5.0533782 | 4.5163088 | 4.1406348 | 3.8612196 | 3.6441917 | 3.4700960 | 3.3269138 |
93 | 11.548009 | 7.4472215 | 5.8912825 | 5.0484228 | 4.5116130 | 4.1361129 | 3.8568205 | 3.6398826 | 3.4658545 | 3.3227239 |
94 | 11.539997 | 7.4411945 | 5.8860266 | 5.0435785 | 4.5070225 | 4.1316926 | 3.8525203 | 3.6356704 | 3.4617083 | 3.3186283 |
95 | 11.532161 | 7.4353005 | 5.8808871 | 5.0388416 | 4.5025340 | 4.1273705 | 3.8483157 | 3.6315519 | 3.4576544 | 3.3146237 |
96 | 11.524496 | 7.4295353 | 5.8758601 | 5.0342087 | 4.4981441 | 4.1231433 | 3.8442036 | 3.6275239 | 3.4536896 | 3.3107072 |
97 | 11.516995 | 7.4238946 | 5.8709420 | 5.0296763 | 4.4938495 | 4.1190080 | 3.8401808 | 3.6235836 | 3.4498111 | 3.3068760 |
98 | 11.509654 | 7.4183746 | 5.8661294 | 5.0252411 | 4.4896472 | 4.1149617 | 3.8362447 | 3.6197280 | 3.4460161 | 3.3031272 |
99 | 11.502468 | 7.4129713 | 5.8614187 | 5.0209001 | 4.4855342 | 4.1110014 | 3.8323922 | 3.6159546 | 3.4423019 | 3.2994582 |
100 | 11.495431 | 7.4076811 | 5.8568069 | 5.0166504 | 4.4815077 | 4.1071246 | 3.8286210 | 3.6122606 | 3.4386660 | 3.2958666 |
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TXT Version: FisherF-I.txt |
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