Critical Values of Fisher F Distribution (11≤ν1≤20)
One sided test Prob(F≥c) = .001 = .1% significance level
Reference: NIST/SEMATECH e-Handbook of Statistical Methods |
ν2\ν1 |
11 |
12 |
13 |
14 |
15 |
16 |
17 |
18 |
19 |
20 |
1 | 608367.68 | 610667.82 | 612622.01 | 614302.75 | 615763.66 | 617045.18 | 618178.43 | 619187.70 | 620092.29 | 620907.67 |
2 | 999.40901 | 999.41659 | 999.42300 | 999.42849 | 999.43325 | 999.43742 | 999.44109 | 999.44436 | 999.44729 | 999.44992 |
3 | 128.74084 | 128.31646 | 127.95534 | 127.64430 | 127.37360 | 127.13588 | 126.92544 | 126.73785 | 126.56957 | 126.41777 |
4 | 47.704266 | 47.411804 | 47.162750 | 46.948097 | 46.761173 | 46.596926 | 46.451463 | 46.321734 | 46.205315 | 46.100258 |
5 | 26.645633 | 26.417966 | 26.223950 | 26.056624 | 25.910826 | 25.782646 | 25.669069 | 25.567731 | 25.476753 | 25.394622 |
6 | 18.181633 | 17.988811 | 17.824373 | 17.682465 | 17.558742 | 17.449913 | 17.353434 | 17.267313 | 17.189965 | 17.120110 |
7 | 13.879115 | 13.707316 | 13.560709 | 13.434110 | 13.323672 | 13.226478 | 13.140274 | 13.063289 | 12.994118 | 12.931626 |
8 | 11.352466 | 11.194486 | 11.059585 | 10.943026 | 10.841292 | 10.751712 | 10.672225 | 10.601209 | 10.537375 | 10.479683 |
9 | 9.7183139 | 9.5700051 | 9.4432853 | 9.3337348 | 9.2380683 | 9.1537915 | 9.0789758 | 9.0121065 | 8.9519766 | 8.8976127 |
10 | 8.5863979 | 8.4451851 | 8.3244598 | 8.2200369 | 8.1288035 | 8.0483955 | 7.9769841 | 7.9131324 | 7.8556948 | 7.8037471 |
11 | 7.7614188 | 7.6256066 | 7.5094367 | 7.4089043 | 7.3210295 | 7.2435482 | 7.1747085 | 7.1131329 | 7.0577233 | 7.0075932 |
12 | 7.1361559 | 7.0045754 | 6.8919693 | 6.7944755 | 6.7092197 | 6.6340170 | 6.5671763 | 6.5073673 | 6.4535293 | 6.4048056 |
13 | 6.6473843 | 6.5191991 | 6.4094475 | 6.3143836 | 6.2312186 | 6.1578319 | 6.0925816 | 6.0341758 | 5.9815840 | 5.9339738 |
14 | 6.2556468 | 6.1302395 | 6.0228195 | 5.9297370 | 5.8482738 | 5.7763626 | 5.7124023 | 5.6551327 | 5.6035482 | 5.5568362 |
15 | 5.9351577 | 5.8120609 | 5.7065769 | 5.6151367 | 5.5350816 | 5.4643891 | 5.4014922 | 5.3451574 | 5.2944002 | 5.2484247 |
16 | 5.6684110 | 5.5472632 | 5.4434094 | 5.3533497 | 5.2744760 | 5.2048041 | 5.1427961 | 5.0872412 | 5.0371728 | 4.9918093 |
17 | 5.4431351 | 5.3236511 | 5.2211868 | 5.1323016 | 5.0544312 | 4.9856243 | 4.9243682 | 4.8694718 | 4.8199837 | 4.7751347 |
18 | 5.2504893 | 5.1324409 | 5.0311733 | 4.9432979 | 4.8662885 | 4.7982225 | 4.7376092 | 4.6832744 | 4.6342803 | 4.5898684 |
19 | 5.0839534 | 4.9671550 | 4.8669278 | 4.7799286 | 4.7036651 | 4.6362395 | 4.5761807 | 4.5223295 | 4.4737597 | 4.4297223 |
20 | 4.9386190 | 4.8229181 | 4.7236028 | 4.6373703 | 4.5617580 | 4.4948907 | 4.4353142 | 4.3818825 | 4.3336802 | 4.2899664 |
21 | 4.8107245 | 4.6959941 | 4.5974839 | 4.5119271 | 4.4368878 | 4.3705106 | 4.3113566 | 4.2582918 | 4.2104100 | 4.1669777 |
22 | 4.6973407 | 4.5834742 | 4.4856795 | 4.4007222 | 4.3261902 | 4.2602462 | 4.2014649 | 4.1487229 | 4.1011224 | 4.0579367 |
23 | 4.5961544 | 4.4830615 | 4.3859064 | 4.3014842 | 4.2274042 | 4.1618453 | 4.1033945 | 4.0509383 | 4.0035862 | 3.9606176 |
24 | 4.5053157 | 4.3929190 | 4.2963389 | 4.2123968 | 4.1387216 | 4.0735069 | 4.0153510 | 3.9631490 | 3.9160174 | 3.8732412 |
25 | 4.4233278 | 4.3115610 | 4.2155002 | 4.1319910 | 4.0586802 | 3.9937747 | 3.9358831 | 3.8839085 | 3.8369736 | 3.7943684 |
26 | 4.3489676 | 4.2377731 | 4.1421834 | 4.0590664 | 3.9860849 | 3.9214585 | 3.8638049 | 3.8120345 | 3.7652759 | 3.7228235 |
27 | 4.2812259 | 4.1705535 | 4.0753930 | 3.9926326 | 3.9199503 | 3.8555766 | 3.7981382 | 3.7465521 | 3.6999521 | 3.6576369 |
28 | 4.2192629 | 4.1090686 | 4.0143006 | 3.9318658 | 3.8594561 | 3.7953124 | 3.7380694 | 3.6866501 | 3.6401933 | 3.5980016 |
29 | 4.1623744 | 4.0526194 | 3.9582116 | 3.8760752 | 3.8039148 | 3.7399810 | 3.6829159 | 3.6316482 | 3.5853212 | 3.5432411 |
30 | 4.1099654 | 4.0006155 | 3.9065392 | 3.8246770 | 3.7527454 | 3.6890039 | 3.6321014 | 3.5809720 | 3.5347631 | 3.4927841 |
31 | 4.0615301 | 3.9525546 | 3.8587846 | 3.7771752 | 3.7054542 | 3.6418894 | 3.5851359 | 3.5341329 | 3.4880316 | 3.4461447 |
32 | 4.0166355 | 3.9080073 | 3.8145207 | 3.7331452 | 3.6616186 | 3.5982165 | 3.5416001 | 3.4907130 | 3.4447103 | 3.4029073 |
33 | 3.9749092 | 3.8666037 | 3.7733804 | 3.6922216 | 3.6208750 | 3.5576233 | 3.5011332 | 3.4503527 | 3.4044403 | 3.3627141 |
34 | 3.9360290 | 3.8280242 | 3.7350459 | 3.6540886 | 3.5829089 | 3.5197964 | 3.4634231 | 3.4127410 | 3.3669116 | 3.3252557 |
35 | 3.8997146 | 3.7919908 | 3.6992409 | 3.6184713 | 3.5474469 | 3.4844637 | 3.4281986 | 3.3776073 | 3.3318545 | 3.2902632 |
36 | 3.8657214 | 3.7582604 | 3.6657243 | 3.5851298 | 3.5142501 | 3.4513873 | 3.3952226 | 3.3447155 | 3.2990334 | 3.2575016 |
37 | 3.8338346 | 3.7266202 | 3.6342842 | 3.5538536 | 3.4831092 | 3.4203585 | 3.3642873 | 3.3138583 | 3.2682417 | 3.2267648 |
38 | 3.8038652 | 3.6968825 | 3.6047343 | 3.5244574 | 3.4538395 | 3.3911936 | 3.3352095 | 3.2848533 | 3.2392973 | 3.1978712 |
39 | 3.7756461 | 3.6688814 | 3.5769098 | 3.4967772 | 3.4262780 | 3.3637302 | 3.3078275 | 3.2575389 | 3.2120394 | 3.1706602 |
40 | 3.7490287 | 3.6424696 | 3.5506644 | 3.4706675 | 3.4002797 | 3.3378239 | 3.2819974 | 3.2317721 | 3.1863251 | 3.1449895 |
41 | 3.7238810 | 3.6175161 | 3.5258678 | 3.4459988 | 3.3757159 | 3.3133465 | 3.2575914 | 3.2074252 | 3.1620272 | 3.1207322 |
42 | 3.7000850 | 3.5939037 | 3.5024037 | 3.4226554 | 3.3524713 | 3.2901832 | 3.2344951 | 3.1843843 | 3.1390321 | 3.0977748 |
43 | 3.6775348 | 3.5715275 | 3.4801679 | 3.4005336 | 3.3304428 | 3.2682313 | 3.2126063 | 3.1625474 | 3.1172380 | 3.0760159 |
44 | 3.6561356 | 3.5502932 | 3.4590666 | 3.3795403 | 3.3095377 | 3.2473984 | 3.1918328 | 3.1418227 | 3.0965534 | 3.0553641 |
45 | 3.6358015 | 3.5301159 | 3.4390154 | 3.3595915 | 3.2896723 | 3.2276013 | 3.1720917 | 3.1221276 | 3.0768958 | 3.0357372 |
46 | 3.6164554 | 3.5109187 | 3.4199381 | 3.3406113 | 3.2707712 | 3.2087648 | 3.1533081 | 3.1033872 | 3.0581908 | 3.0170610 |
47 | 3.5980270 | 3.4926322 | 3.4017655 | 3.3225310 | 3.2527660 | 3.1908208 | 3.1354141 | 3.0855341 | 3.0403709 | 2.9992680 |
48 | 3.5804528 | 3.4751932 | 3.3844351 | 3.3052883 | 3.2355946 | 3.1737075 | 3.1183481 | 3.0685067 | 3.0233748 | 2.9822972 |
49 | 3.5636749 | 3.4585443 | 3.3678897 | 3.2888265 | 3.2192006 | 3.1573687 | 3.1020541 | 3.0522492 | 3.0071468 | 2.9660930 |
50 | 3.5476405 | 3.4426331 | 3.3520772 | 3.2730938 | 3.2035324 | 3.1417529 | 3.0864810 | 3.0367106 | 2.9916361 | 2.9506046 |
51 | 3.5323014 | 3.4274117 | 3.3369503 | 3.2580428 | 3.1885430 | 3.1268134 | 3.0715820 | 3.0218443 | 2.9767961 | 2.9357856 |
52 | 3.5176134 | 3.4128365 | 3.3224652 | 3.2436304 | 3.1741893 | 3.1125073 | 3.0573143 | 3.0076076 | 2.9625844 | 2.9215938 |
53 | 3.5035360 | 3.3988670 | 3.3085821 | 3.2298168 | 3.1604318 | 3.0987951 | 3.0436388 | 2.9939616 | 2.9489620 | 2.9079900 |
54 | 3.4900320 | 3.3854666 | 3.2952644 | 3.2165656 | 3.1472342 | 3.0856408 | 3.0305193 | 2.9808702 | 2.9358929 | 2.8949386 |
55 | 3.4770672 | 3.3726011 | 3.2824782 | 3.2038430 | 3.1345629 | 3.0730109 | 3.0179227 | 2.9683003 | 2.9233443 | 2.8824066 |
56 | 3.4646099 | 3.3602392 | 3.2701924 | 3.1916183 | 3.1223873 | 3.0608748 | 3.0058184 | 2.9562214 | 2.9112855 | 2.8703637 |
57 | 3.4526311 | 3.3483520 | 3.2583783 | 3.1798627 | 3.1106789 | 3.0492042 | 2.9941782 | 2.9446053 | 2.8996886 | 2.8587818 |
58 | 3.4411036 | 3.3369126 | 3.2470092 | 3.1685499 | 3.0994112 | 3.0379728 | 2.9829758 | 2.9334260 | 2.8885276 | 2.8476349 |
59 | 3.4300025 | 3.3258964 | 3.2360605 | 3.1576553 | 3.0885599 | 3.0271563 | 2.9721870 | 2.9226594 | 2.8777783 | 2.8368990 |
60 | 3.4193047 | 3.3152802 | 3.2255094 | 3.1471561 | 3.0781024 | 3.0167321 | 2.9617895 | 2.9122829 | 2.8674183 | 2.8265518 |
61 | 3.4089885 | 3.3050428 | 3.2153346 | 3.1370313 | 3.0680176 | 3.0066794 | 2.9517622 | 2.9022758 | 2.8574271 | 2.8165727 |
62 | 3.3990340 | 3.2951642 | 3.2055163 | 3.1272613 | 3.0582861 | 2.9969786 | 2.9420859 | 2.8926188 | 2.8477851 | 2.8069422 |
63 | 3.3894224 | 3.2856260 | 3.1960363 | 3.1178277 | 3.0488895 | 2.9876116 | 2.9327424 | 2.8832938 | 2.8384744 | 2.7976425 |
64 | 3.3801365 | 3.2764108 | 3.1868773 | 3.1087134 | 3.0398110 | 2.9785615 | 2.9237148 | 2.8742840 | 2.8294783 | 2.7886568 |
65 | 3.3711599 | 3.2675026 | 3.1780233 | 3.0999026 | 3.0310346 | 2.9698125 | 2.9149875 | 2.8655736 | 2.8207811 | 2.7799695 |
66 | 3.3624775 | 3.2588862 | 3.1694593 | 3.0913803 | 3.0225455 | 2.9613498 | 2.9065457 | 2.8571481 | 2.8123682 | 2.7715661 |
67 | 3.3540751 | 3.2505477 | 3.1611714 | 3.0831327 | 3.0143300 | 2.9531596 | 2.8983756 | 2.8489937 | 2.8042258 | 2.7634327 |
68 | 3.3459393 | 3.2424738 | 3.1531465 | 3.0751467 | 3.0063749 | 2.9452291 | 2.8904643 | 2.8410975 | 2.7963411 | 2.7555566 |
69 | 3.3380577 | 3.2346520 | 3.1453722 | 3.0674100 | 2.9986680 | 2.9375459 | 2.8827998 | 2.8334474 | 2.7887021 | 2.7479258 |
70 | 3.3304185 | 3.2270709 | 3.1378369 | 3.0599112 | 2.9911981 | 2.9300988 | 2.8753706 | 2.8260322 | 2.7812975 | 2.7405290 |
71 | 3.3230108 | 3.2197195 | 3.1305299 | 3.0526394 | 2.9839543 | 2.9228771 | 2.8681662 | 2.8188411 | 2.7741166 | 2.7333556 |
72 | 3.3158243 | 3.2125874 | 3.1234409 | 3.0455846 | 2.9769265 | 2.9158706 | 2.8611764 | 2.8118643 | 2.7671495 | 2.7263957 |
73 | 3.3088491 | 3.2056651 | 3.1165604 | 3.0387371 | 2.9701052 | 2.9090700 | 2.8543919 | 2.8050922 | 2.7603868 | 2.7196399 |
74 | 3.3020761 | 3.1989434 | 3.1098793 | 3.0320880 | 2.9634815 | 2.9024662 | 2.8478037 | 2.7985160 | 2.7538196 | 2.7130793 |
75 | 3.2954966 | 3.1924138 | 3.1033890 | 3.0256288 | 2.9570468 | 2.8960508 | 2.8414034 | 2.7921273 | 2.7474396 | 2.7067055 |
76 | 3.2891025 | 3.1860681 | 3.0970815 | 3.0193515 | 2.9507933 | 2.8898160 | 2.8351832 | 2.7859182 | 2.7412389 | 2.7005108 |
77 | 3.2828861 | 3.1798987 | 3.0909491 | 3.0132484 | 2.9447134 | 2.8837542 | 2.8291354 | 2.7798812 | 2.7352100 | 2.6944877 |
78 | 3.2768400 | 3.1738984 | 3.0849848 | 3.0073126 | 2.9387999 | 2.8778583 | 2.8232532 | 2.7740094 | 2.7293458 | 2.6886291 |
79 | 3.2709574 | 3.1680603 | 3.0791817 | 3.0015371 | 2.9330461 | 2.8721216 | 2.8175297 | 2.7682959 | 2.7236399 | 2.6829284 |
80 | 3.2652317 | 3.1623778 | 3.0735333 | 2.9959155 | 2.9274457 | 2.8665377 | 2.8119586 | 2.7627346 | 2.7180857 | 2.6773793 |
81 | 3.2596568 | 3.1568450 | 3.0680336 | 2.9904419 | 2.9219926 | 2.8611007 | 2.8065339 | 2.7573193 | 2.7126774 | 2.6719759 |
82 | 3.2542267 | 3.1514559 | 3.0626767 | 2.9851104 | 2.9166811 | 2.8558047 | 2.8012500 | 2.7520445 | 2.7074092 | 2.6667125 |
83 | 3.2489359 | 3.1462050 | 3.0574573 | 2.9799156 | 2.9115057 | 2.8506444 | 2.7961013 | 2.7469046 | 2.7022759 | 2.6615836 |
84 | 3.2437791 | 3.1410871 | 3.0523699 | 2.9748524 | 2.9064613 | 2.8456147 | 2.7910829 | 2.7418948 | 2.6972722 | 2.6565843 |
85 | 3.2387513 | 3.1360973 | 3.0474098 | 2.9699156 | 2.9015429 | 2.8407106 | 2.7861898 | 2.7370099 | 2.6923934 | 2.6517097 |
86 | 3.2338477 | 3.1312306 | 3.0425722 | 2.9651008 | 2.8967460 | 2.8359275 | 2.7814174 | 2.7322455 | 2.6876349 | 2.6469551 |
87 | 3.2290638 | 3.1264828 | 3.0378526 | 2.9604034 | 2.8920660 | 2.8312610 | 2.7767612 | 2.7275971 | 2.6829921 | 2.6423162 |
88 | 3.2243953 | 3.1218493 | 3.0332468 | 2.9558192 | 2.8874987 | 2.8267069 | 2.7722172 | 2.7230606 | 2.6784610 | 2.6377889 |
89 | 3.2198379 | 3.1173263 | 3.0287506 | 2.9513442 | 2.8830401 | 2.8222611 | 2.7677812 | 2.7186319 | 2.6740377 | 2.6333691 |
90 | 3.2153879 | 3.1129098 | 3.0243603 | 2.9469745 | 2.8786865 | 2.8179199 | 2.7634495 | 2.7143073 | 2.6697182 | 2.6290530 |
91 | 3.2110415 | 3.1085960 | 3.0200721 | 2.9427064 | 2.8744340 | 2.8136796 | 2.7592184 | 2.7100832 | 2.6654989 | 2.6248371 |
92 | 3.2067950 | 3.1043814 | 3.0158826 | 2.9385364 | 2.8702793 | 2.8095367 | 2.7550846 | 2.7059560 | 2.6613765 | 2.6207179 |
93 | 3.2026451 | 3.1002627 | 3.0117883 | 2.9344612 | 2.8662190 | 2.8054880 | 2.7510445 | 2.7019225 | 2.6573477 | 2.6166921 |
94 | 3.1985885 | 3.0962366 | 3.0077860 | 2.9304776 | 2.8622500 | 2.8015301 | 2.7470952 | 2.6979795 | 2.6534092 | 2.6127566 |
95 | 3.1946222 | 3.0923000 | 3.0038727 | 2.9265825 | 2.8583691 | 2.7976602 | 2.7432336 | 2.6941240 | 2.6495581 | 2.6089084 |
96 | 3.1907430 | 3.0884500 | 3.0000455 | 2.9227731 | 2.8545736 | 2.7938753 | 2.7394568 | 2.6903532 | 2.6457915 | 2.6051445 |
97 | 3.1869483 | 3.0846838 | 2.9963015 | 2.9190465 | 2.8508605 | 2.7901727 | 2.7357621 | 2.6866643 | 2.6421066 | 2.6014624 |
98 | 3.1832353 | 3.0809986 | 2.9926381 | 2.9154001 | 2.8472273 | 2.7865496 | 2.7321467 | 2.6830545 | 2.6385009 | 2.5978592 |
99 | 3.1796013 | 3.0773919 | 2.9890526 | 2.9118312 | 2.8436713 | 2.7830036 | 2.7286082 | 2.6795216 | 2.6349717 | 2.5943326 |
100 | 3.1760439 | 3.0738611 | 2.9855427 | 2.9083376 | 2.8401903 | 2.7795322 | 2.7251441 | 2.6760629 | 2.6315168 | 2.5908800 |
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TXT Version: FisherF-J.txt |
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