1. dfd 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
1 0.1 39.8635 49.5 53.5932 55.833 57.2401 58.2044 58.906 59.439 59.8576 60.195 60.4727 60.7052 60.9028 61.0727 61.2203 61.3499 61.4644 61.5664 61.6579 61.7403
0.05 161.448 199.5 215.707 224.583 230.162 233.986 236.768 238.883 240.543 241.882 242.983 243.906 244.69 245.364 245.95 246.464 246.918 247.323 247.686 248.013
0.025 647.789 799.5 864.163 899.583 921.848 937.111 948.217 956.656 963.285 968.627 973.025 976.708 979.837 982.528 984.867 986.919 988.733 990.349 991.797 993.103
0.01 4052.18 4999.5 5403.35 5624.58 5763.65 5858.99 5928.36 5981.07 6022.47 6055.85 6083.32 6106.32 6125.86 6142.67 6157.28 6170.1 6181.43 6191.53 6200.58 6208.73
0.005 16210.7 19999.5 21614.7 22499.6 23055.8 23437.1 23714.6 23925.4 24091 24224.5 24334.4 24426.4 24504.5 24571.8 24630.2 24681.5 24726.8 24767.2 24803.4 24836
2 0.1 8.52632 9 9.16179 9.24342 9.29263 9.32553 9.34908 9.36677 9.38054 9.39157 9.4006 9.40813 9.41451 9.41997 9.42471 9.42886 9.43252 9.43577 9.43869 9.44131
0.05 18.5128 19 19.1643 19.2468 19.2964 19.3295 19.3532 19.371 19.3848 19.3959 19.405 19.4125 19.4189 19.4244 19.4291 19.4333 19.437 19.4402 19.4431 19.4458
0.025 38.5063 39 39.1655 39.2484 39.2982 39.3315 39.3552 39.373 39.3869 39.398 39.4071 39.4146 39.421 39.4265 39.4313 39.4354 39.4391 39.4424 39.4453 39.4479
0.01 98.5025 99 99.1662 99.2494 99.2993 99.3326 99.3564 99.3742 99.3881 99.3992 99.4083 99.4159 99.4223 99.4278 99.4325 99.4367 99.4404 99.4436 99.4465 99.4492
0.005 198.501 199 199.166 199.25 199.3 199.333 199.357 199.375 199.388 199.4 199.409 199.416 199.423 199.428 199.433 199.437 199.441 199.444 199.447 199.45
3 0.1 5.53832 5.46238 5.39077 5.34264 5.30916 5.28473 5.26619 5.25167 5.24 5.23041 5.2224 5.21562 5.20979 5.20474 5.20031 5.1964 5.19293 5.18982 5.18702 5.18448
0.05 10.128 9.55209 9.27663 9.11718 9.01346 8.94065 8.88674 8.84524 8.8123 8.78552 8.76333 8.74464 8.72868 8.7149 8.70287 8.69229 8.6829 8.67452 8.66699 8.66019
0.025 17.4434 16.0441 15.4392 15.101 14.8848 14.7347 14.6244 14.5399 14.4731 14.4189 14.3742 14.3366 14.3045 14.2768 14.2527 14.2315 14.2127 14.196 14.181 14.1674
0.01 34.1162 30.8165 29.4567 28.7099 28.2371 27.9107 27.6717 27.4892 27.3452 27.2287 27.1326 27.0518 26.9831 26.9238 26.8722 26.8269 26.7867 26.7509 26.7188 26.6898
0.005 55.552 49.7993 47.4672 46.1946 45.3916 44.8385 44.4341 44.1256 43.8824 43.6858 43.5236 43.3874 43.2715 43.1716 43.0847 43.0083 42.9407 42.8804 42.8263 42.7775
4 0.1 4.54477 4.32456 4.19086 4.10725 4.05058 4.00975 3.97897 3.95494 3.93567 3.91988 3.90669 3.89553 3.88595 3.87764 3.87036 3.86394 3.85822 3.85311 3.84851 3.84434
0.05 7.70865 6.94427 6.59138 6.38823 6.25606 6.16313 6.09421 6.04104 5.99878 5.96437 5.93581 5.91173 5.89114 5.87335 5.85781 5.84412 5.83197 5.82112 5.81136 5.80254
0.025 12.2179 10.6491 9.9792 9.60453 9.36447 9.19731 9.07414 8.97958 8.90468 8.84388 8.79354 8.75116 8.715 8.68377 8.65654 8.63258 8.61134 8.59237 8.57533 8.55994
0.01 21.1977 18 16.6944 15.977 15.5219 15.2069 14.9758 14.7989 14.6591 14.5459 14.4523 14.3736 14.3065 14.2486 14.1982 14.1539 14.1146 14.0795 14.048 14.0196
0.005 31.3328 26.2843 24.2591 23.1545 22.4564 21.9746 21.6217 21.352 21.1391 20.9667 20.8243 20.7047 20.6027 20.5148 20.4383 20.371 20.3113 20.2581 20.2104 20.1673
5 0.1 4.06042 3.77972 3.61948 3.5202 3.45298 3.40451 3.3679 3.33928 3.31628 3.2974 3.28162 3.26824 3.25674 3.24676 3.23801 3.23028 3.2234 3.21723 3.21168 3.20665
0.05 6.60789 5.78614 5.40945 5.19217 5.05033 4.95029 4.87587 4.81832 4.77247 4.73506 4.70397 4.6777 4.65523 4.63577 4.61876 4.60376 4.59044 4.57853 4.56782 4.55813
0.025 10.007 8.43362 7.76359 7.38789 7.14638 6.9777 6.85308 6.75717 6.68105 6.61915 6.56782 6.52455 6.48758 6.45563 6.42773 6.40316 6.38136 6.36188 6.34438 6.32856
0.01 16.2582 13.2739 12.06 11.3919 10.967 10.6723 10.4555 10.2893 10.1578 10.051 9.96265 9.88828 9.82481 9.77001 9.72222 9.68016 9.64287 9.60957 9.57966 9.55265
0.005 22.7848 18.3138 16.5298 15.5561 14.9396 14.5133 14.2004 13.961 13.7716 13.6182 13.4912 13.3845 13.2934 13.2148 13.1463 13.0861 13.0327 12.985 12.9422 12.9035
6 0.1 3.77595 3.4633 3.28876 3.18076 3.10751 3.05455 3.01446 2.98304 2.95774 2.93693 2.91952 2.90472 2.89199 2.88093 2.87122 2.86264 2.85499 2.84813 2.84194 2.83634
0.05 5.98738 5.14325 4.75706 4.53368 4.38737 4.28387 4.20666 4.1468 4.09902 4.05996 4.02744 3.99994 3.97636 3.95593 3.93806 3.92228 3.90826 3.89571 3.88441 3.87419
0.025 8.8131 7.25986 6.5988 6.22716 5.98757 5.81976 5.69547 5.59962 5.52341 5.46132 5.40976 5.36624 5.32902 5.29681 5.26867 5.24386 5.22183 5.20213 5.18442 5.1684
0.01 13.745 10.9248 9.77954 9.1483 8.7459 8.46613 8.26 8.10165 7.97612 7.87412 7.78957 7.71833 7.65748 7.6049 7.55899 7.51857 7.48271 7.45066 7.42186 7.39583
0.005 18.635 14.5441 12.9166 12.0275 11.4637 11.073 10.7859 10.5658 10.3915 10.25 10.1329 10.0343 9.95012 9.87742 9.81399 9.75816 9.70864 9.66441 9.62467 9.58877
7 0.1 3.58943 3.25744 3.07407 2.96053 2.88334 2.82739 2.78493 2.75158 2.72468 2.70251 2.68392 2.66811 2.65449 2.64264 2.63223 2.62301 2.61479 2.60742 2.60077 2.59473
0.05 5.59145 4.73741 4.34683 4.12031 3.97152 3.86597 3.78704 3.72573 3.67667 3.63652 3.60304 3.57468 3.55034 3.52923 3.51074 3.49441 3.47988 3.46686 3.45514 3.44452
0.025 8.07267 6.54152 5.88982 5.52259 5.28524 5.1186 4.99491 4.89934 4.82322 4.76112 4.70947 4.66583 4.62846 4.59609 4.56779 4.54282 4.52063 4.50077 4.48291 4.46674
0.01 12.2464 9.54658 8.45129 7.84665 7.46044 7.1914 6.99283 6.84005 6.71875 6.62006 6.53817 6.46909 6.41003 6.35895 6.31433 6.27501 6.2401 6.20889 6.18082 6.15544
0.005 16.2356 12.404 10.8824 10.0505 9.52206 9.15534 8.88539 8.67811 8.51382 8.38033 8.26966 8.17641 8.09675 8.02789 7.96777 7.91482 7.86782 7.82583 7.78808 7.75396
8 0.1 3.45792 3.11312 2.9238 2.80643 2.72645 2.66833 2.62413 2.58935 2.56124 2.53804 2.51855 2.50196 2.48765 2.47518 2.46422 2.4545 2.44583 2.43805 2.43102 2.42464
0.05 5.31766 4.45897 4.06618 3.83785 3.6875 3.58058 3.50046 3.4381 3.38813 3.34716 3.31295 3.28394 3.25902 3.23738 3.21841 3.20163 3.1867 3.17332 3.16125 3.15032
0.025 7.57088 6.05947 5.41596 5.05263 4.81728 4.6517 4.52856 4.43326 4.35723 4.29513 4.24341 4.19967 4.16217 4.12967 4.10121 4.0761 4.05376 4.03376 4.01575 3.99945
0.01 11.2586 8.64911 7.59099 7.00608 6.63183 6.37068 6.17762 6.02887 5.91062 5.81429 5.73427 5.66672 5.60891 5.55887 5.51512 5.47655 5.44228 5.41163 5.38405 5.35909
0.005 14.6882 11.0424 9.59647 8.80513 8.3018 7.95199 7.69414 7.49591 7.3386 7.21064 7.10446 7.01492 6.93836 6.87213 6.81428 6.76329 6.71801 6.67753 6.64113 6.6082
9 0.1 3.3603 3.00645 2.81286 2.69268 2.61061 2.55086 2.50531 2.46941 2.44034 2.41632 2.39611 2.37888 2.36401 2.35104 2.33962 2.3295 2.32046 2.31233 2.30499 2.29832
0.05 5.11736 4.25649 3.86255 3.63309 3.48166 3.37375 3.29275 3.22958 3.17889 3.13728 3.10249 3.07295 3.04755 3.02547 3.0061 2.98897 2.9737 2.96 2.94765 2.93646
0.025 7.20928 5.71471 5.07812 4.71808 4.48441 4.31972 4.19705 4.10196 4.02599 3.96387 3.91207 3.86822 3.8306 3.79795 3.76936 3.7441 3.72162 3.70148 3.68334 3.66691
0.01 10.5614 8.02152 6.99192 6.42209 6.05694 5.80177 5.61287 5.46712 5.35113 5.25654 5.17789 5.11143 5.05451 5.00521 4.96208 4.92402 4.89019 4.85992 4.83266 4.808
0.005 13.6136 10.1067 8.71706 7.95589 7.47116 7.13385 6.88491 6.6933 6.54109 6.41716 6.31424 6.22737 6.15304 6.0887 6.03246 5.98286 5.9388 5.89939 5.86392 5.83184
10 0.1 3.28502 2.92447 2.72767 2.60534 2.52164 2.46058 2.41397 2.37715 2.34731 2.3226 2.30181 2.28405 2.26871 2.25531 2.24351 2.23304 2.22368 2.21527 2.20766 2.20074
0.05 4.9646 4.10282 3.70826 3.47805 3.32583 3.21717 3.13546 3.07166 3.02038 2.97824 2.94296 2.91298 2.88717 2.86473 2.84502 2.82757 2.81201 2.79805 2.78545 2.77402
0.025 6.93673 5.4564 4.82562 4.46834 4.23609 4.07213 3.94982 3.85489 3.77896 3.71679 3.66491 3.62095 3.58319 3.55041 3.52167 3.49627 3.47365 3.45338 3.4351 3.41854
0.01 10.0443 7.55943 6.55231 5.99434 5.63633 5.38581 5.20012 5.05669 4.94242 4.84915 4.77152 4.70587 4.64961 4.60083 4.55814 4.52045 4.48692 4.45691 4.42987 4.40539
0.005 12.8265 9.427 8.08075 7.34281 6.87237 6.54463 6.30249 6.11592 5.96757 5.84668 5.7462 5.66133 5.58866 5.52572 5.47066 5.42209 5.37892 5.34028 5.3055 5.27402
F Table
dfn

2. dfd 21 22 23 24 25 26 27 28 29 30 40 50 60 70 80 90 100 110 120
1 0.1 61.815 61.8829 61.945 62.002 62.0545 62.103 62.148 62.1897 62.2286 62.265 62.5291 62.6881 62.7943 62.8703 62.9273 62.9717 63.0073 63.0364 63.0606
0.05 248.309 248.579 248.826 249.052 249.26 249.453 249.631 249.797 249.951 250.095 251.143 251.774 252.196 252.497 252.724 252.9 253.041 253.157 253.253
0.025 994.286 995.362 996.346 997.249 998.081 998.849 999.561 1000.22 1000.84 1001.41 1005.6 1008.12 1009.8 1011 1011.91 1012.61 1013.17 1013.64 1014.02
0.01 6216.12 6222.84 6228.99 6234.63 6239.83 6244.62 6249.07 6253.2 6257.05 6260.65 6286.78 6302.52 6313.03 6320.55 6326.2 6330.59 6334.11 6336.99 6339.39
0.005 24865.5 24892.4 24917 24939.6 24960.3 24979.5 24997.3 25013.8 25029.2 25043.6 25148.2 25211.1 25253.1 25283.2 25305.8 25323.4 25337.5 25349 25358.6
2 0.1 9.44368 9.44584 9.44781 9.44962 9.45128 9.45281 9.45423 9.45555 9.45678 9.45793 9.46624 9.47124 9.47456 9.47694 9.47873 9.48011 9.48123 9.48213 9.48289
0.05 19.4481 19.4503 19.4523 19.4541 19.4558 19.4573 19.4587 19.46 19.4613 19.4624 19.4707 19.4757 19.4791 19.4814 19.4832 19.4846 19.4857 19.4866 19.4874
0.025 39.4503 39.4525 39.4544 39.4562 39.4579 39.4594 39.4609 39.4622 39.4634 39.4646 39.4729 39.4779 39.4812 39.4836 39.4854 39.4868 39.4879 39.4888 39.4896
0.01 99.4516 99.4537 99.4557 99.4575 99.4592 99.4607 99.4621 99.4635 99.4647 99.4658 99.4742 99.4792 99.4825 99.4849 99.4867 99.4881 99.4892 99.4901 99.4908
0.005 199.452 199.454 199.456 199.458 199.46 199.461 199.463 199.464 199.465 199.466 199.475 199.48 199.483 199.485 199.487 199.488 199.49 199.49 199.491
3 0.1 5.18218 5.18007 5.17814 5.17636 5.17473 5.17321 5.1718 5.17048 5.16926 5.16811 5.15972 5.15462 5.15119 5.14872 5.14687 5.14542 5.14426 5.14331 5.14251
0.05 8.65402 8.64839 8.64324 8.6385 8.63414 8.6301 8.62635 8.62286 8.61961 8.61658 8.59441 8.581 8.572 8.56556 8.56071 8.55693 8.5539 8.55142 8.54935
0.025 14.1551 14.1438 14.1336 14.1241 14.1155 14.1074 14.1 14.093 14.0866 14.0805 14.0365 14.0099 13.9921 13.9793 13.9697 13.9623 13.9563 13.9514 13.9473
0.01 26.6635 26.6396 26.6176 26.5975 26.579 26.5618 26.546 26.5312 26.5174 26.5045 26.4108 26.3542 26.3164 26.2892 26.2688 26.253 26.2402 26.2298 26.2211
0.005 42.7333 42.6929 42.6561 42.6222 42.591 42.5622 42.5355 42.5106 42.4874 42.4658 42.3082 42.2131 42.1494 42.1039 42.0696 42.0429 42.0216 42.0041 41.9895
4 0.1 3.84055 3.83709 3.83391 3.83099 3.8283 3.8258 3.82348 3.82132 3.81931 3.81742 3.80361 3.79522 3.78957 3.78551 3.78245 3.78007 3.77815 3.77658 3.77527
0.05 5.79453 5.78723 5.78054 5.77439 5.76872 5.76347 5.75859 5.75406 5.74983 5.74588 5.717 5.69949 5.68774 5.67932 5.67297 5.66803 5.66406 5.66082 5.65811
0.025 8.54598 8.53324 8.52159 8.51087 8.501 8.49186 8.48338 8.4755 8.46815 8.46127 8.41113 8.38078 8.36044 8.34585 8.33487 8.32632 8.31947 8.31385 8.30917
0.01 13.9938 13.9703 13.9488 13.9291 13.9109 13.894 13.8784 13.8639 13.8503 13.8377 13.7454 13.6896 13.6522 13.6254 13.6053 13.5896 13.577 13.5667 13.5581
0.005 20.1282 20.0925 20.0599 20.03 20.0024 19.9769 19.9532 19.9312 19.9107 19.8915 19.7518 19.6673 19.6107 19.5702 19.5397 19.516 19.497 19.4814 19.4684
5 0.1 3.20207 3.19789 3.19406 3.19052 3.18726 3.18424 3.18143 3.17881 3.17637 3.17408 3.15732 3.14711 3.14023 3.13528 3.13156 3.12864 3.12631 3.12439 3.12279
0.05 4.54933 4.54129 4.53393 4.52715 4.5209 4.51512 4.50974 4.50474 4.50008 4.49571 4.46379 4.44441 4.43138 4.42203 4.41498 4.40949 4.40508 4.40147 4.39845
0.025 6.31419 6.30108 6.28908 6.27804 6.26786 6.25844 6.2497 6.24156 6.23397 6.22688 6.17505 6.14362 6.12253 6.10739 6.096 6.08712 6.08 6.07416 6.06929
0.01 9.52812 9.50576 9.48529 9.46647 9.44912 9.43307 9.41818 9.40433 9.39141 9.37933 9.29119 9.23781 9.20201 9.17634 9.15703 9.14197 9.12991 9.12002 9.11177
0.005 12.8684 12.8364 12.8071 12.7802 12.7554 12.7325 12.7112 12.6914 12.6729 12.6556 12.5297 12.4535 12.4024 12.3658 12.3383 12.3168 12.2996 12.2855 12.2737
6 0.1 2.83124 2.82657 2.82229 2.81834 2.8147 2.81132 2.80818 2.80525 2.80252 2.79996 2.78117 2.76969 2.76195 2.75638 2.75218 2.74889 2.74626 2.7441 2.74229
0.05 3.86489 3.8564 3.84862 3.84146 3.83484 3.82872 3.82303 3.81774 3.81279 3.80816 3.77429 3.75367 3.7398 3.72983 3.72231 3.71645 3.71175 3.70789 3.70467
0.025 5.15385 5.14056 5.12839 5.11719 5.10686 5.0973 5.08842 5.08015 5.07244 5.06523 5.01247 4.98042 4.95889 4.94342 4.93178 4.92269 4.91541 4.90943 4.90445
0.01 7.37219 7.35063 7.33088 7.31272 7.29597 7.28047 7.26609 7.2527 7.24021 7.22853 7.14322 7.09148 7.05674 7.0318 7.01304 6.9984 6.98667 6.97705 6.96902
0.005 9.55617 9.52644 9.49922 9.4742 9.45112 9.42977 9.40995 9.39152 9.37432 9.35824 9.24085 9.16969 9.12194 9.08769 9.06191 9.0418 9.02569 9.01248 9.00146
7 0.1 2.58923 2.5842 2.57958 2.57533 2.57139 2.56774 2.56435 2.56118 2.55823 2.55546 2.5351 2.52263 2.51422 2.50815 2.50358 2.5 2.49712 2.49476 2.49279
0.05 3.43487 3.42604 3.41795 3.41049 3.40361 3.39723 3.39131 3.38579 3.38063 3.37581 3.34043 3.31886 3.30432 3.29387 3.28598 3.27983 3.27488 3.27083 3.26745
0.025 4.45204 4.43862 4.42632 4.415 4.40455 4.39487 4.38588 4.37751 4.3697 4.36239 4.30888 4.27631 4.2544 4.23865 4.22678 4.21752 4.21009 4.20399 4.1989
0.01 6.13238 6.11134 6.09205 6.07432 6.05795 6.04281 6.02874 6.01565 6.00344 5.99201 5.90845 5.85768 5.82357 5.79906 5.78061 5.76621 5.75466 5.74519 5.73729
0.005 7.72297 7.69469 7.66879 7.64497 7.62299 7.60266 7.58378 7.56621 7.54982 7.53449 7.42245 7.35443 7.30875 7.27595 7.25126 7.23199 7.21655 7.20388 7.19332
8 0.1 2.41882 2.4135 2.40861 2.4041 2.39992 2.39605 2.39245 2.3891 2.38596 2.38302 2.36136 2.34808 2.3391 2.33262 2.32772 2.32389 2.32082 2.31829 2.31618
0.05 3.14037 3.13128 3.12293 3.11524 3.10813 3.10155 3.09543 3.08972 3.0844 3.07941 3.04278 3.0204 3.0053 2.99443 2.98623 2.97982 2.97467 2.97045 2.96692
0.025 3.98463 3.97108 3.95866 3.94722 3.93666 3.92688 3.91779 3.90932 3.90141 3.89402 3.83978 3.80672 3.78445 3.76842 3.75634 3.74691 3.73934 3.73313 3.72794
0.01 5.33641 5.31571 5.29673 5.27926 5.26314 5.24822 5.23436 5.22145 5.2094 5.19813 5.11561 5.0654 5.03162 5.00734 4.98904 4.97476 4.9633 4.9539 4.94605
0.005 6.57829 6.55098 6.52596 6.50295 6.48171 6.46204 6.44378 6.42679 6.41093 6.39609 6.28754 6.22155 6.17718 6.1453 6.12129 6.10255 6.08752 6.07519 6.0649
9 0.1 2.29224 2.28667 2.28155 2.27683 2.27246 2.2684 2.26462 2.2611 2.25781 2.25472 2.23196 2.21797 2.20849 2.20165 2.19648 2.19243 2.18918 2.18651 2.18427
0.05 2.92626 2.91693 2.90837 2.90047 2.89318 2.88641 2.88012 2.87426 2.86878 2.86365 2.82593 2.80284 2.78725 2.77601 2.76752 2.76089 2.75556 2.75118 2.74752
0.025 3.65195 3.63828 3.62574 3.6142 3.60353 3.59364 3.58445 3.57589 3.5679 3.56041 3.50547 3.47192 3.4493 3.43301 3.42072 3.41112 3.40341 3.39708 3.3918
0.01 4.78556 4.76508 4.74629 4.729 4.71303 4.69824 4.6845 4.67171 4.65976 4.64858 4.56665 4.51671 4.48309 4.4589 4.44066 4.42641 4.41498 4.4056 4.39777
0.005 5.80268 5.77605 5.75163 5.72917 5.70844 5.68923 5.6714 5.6548 5.6393 5.62479 5.51858 5.45392 5.41041 5.37912 5.35553 5.33712 5.32235 5.31023 5.30011
10 0.1 2.19443 2.18865 2.18333 2.17843 2.17388 2.16966 2.16574 2.16207 2.15864 2.15543 2.13169 2.11707 2.10716 2.1 2.09458 2.09033 2.08692 2.08411 2.08176
0.05 2.7636 2.75407 2.74532 2.73725 2.72978 2.72286 2.71642 2.71042 2.70481 2.69955 2.66086 2.63712 2.62108 2.6095 2.60075 2.59391 2.58841 2.5839 2.58012
0.025 3.40347 3.38968 3.37703 3.36537 3.3546 3.34461 3.33532 3.32667 3.31859 3.31102 3.2554 3.22137 3.1984 3.18185 3.16935 3.15958 3.15174 3.1453 3.13991
0.01 4.38313 4.36278 4.34411 4.32693 4.31106 4.29635 4.28268 4.26995 4.25806 4.24693 4.16529 4.11545 4.08186 4.05767 4.03942 4.02517 4.01372 4.00433 3.99648
0.005 5.24539 5.21924 5.19527 5.1732 5.15282 5.13394 5.11641 5.10007 5.08482 5.07055 4.96594 4.90216 4.85919 4.82828 4.80496 4.78675 4.77214 4.76014 4.75013
dfn
F Table (continue)

3. dfd 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
11 0.1 3.2252 2.85951 2.66023 2.53619 2.45118 2.38907 2.34157 2.304 2.2735 2.24823 2.22693 2.20873 2.19298 2.17922 2.16709 2.15632 2.14669 2.13802 2.13018 2.12305
0.05 4.84434 3.9823 3.58743 3.35669 3.20387 3.09461 3.01233 2.94799 2.89622 2.85362 2.81793 2.78757 2.76142 2.73865 2.71864 2.70091 2.6851 2.6709 2.65808 2.64645
0.025 6.72413 5.25589 4.63002 4.27507 4.044 3.88065 3.75864 3.66382 3.5879 3.52567 3.4737 3.42961 3.39173 3.35881 3.32993 3.30439 3.28164 3.26123 3.24283 3.22614
0.01 9.64603 7.20571 6.21673 5.6683 5.31601 5.06921 4.88607 4.74447 4.63154 4.53928 4.46244 4.3974 4.34162 4.29324 4.25087 4.21344 4.18013 4.15029 4.1234 4.09905
0.005 12.2263 8.91225 7.60043 6.88089 6.42175 6.10155 5.86475 5.68213 5.53679 5.41826 5.31967 5.23633 5.16493 5.10305 5.0489 5.0011 4.95859 4.92053 4.88625 4.85522
12 0.1 3.17655 2.8068 2.60552 2.4801 2.39402 2.33102 2.28278 2.24457 2.21352 2.18776 2.16603 2.14744 2.13134 2.11727 2.10485 2.09381 2.08394 2.07505 2.067 2.05968
0.05 4.74723 3.88529 3.49029 3.25917 3.10588 2.99612 2.91336 2.84857 2.79638 2.75339 2.71733 2.68664 2.66018 2.63712 2.61685 2.59888 2.58284 2.56843 2.55541 2.54359
0.025 6.55377 5.09587 4.47418 4.12121 3.89113 3.72829 3.60651 3.51178 3.43585 3.37355 3.32148 3.27728 3.23926 3.20621 3.1772 3.15153 3.12864 3.10811 3.08958 3.07277
0.01 9.33021 6.92661 5.95254 5.41195 5.06434 4.82057 4.6395 4.49937 4.38751 4.29605 4.21982 4.15526 4.09985 4.05176 4.00962 3.97237 3.93921 3.9095 3.88271 3.85843
0.005 11.7542 8.50963 7.22576 6.52114 6.07113 5.75703 5.52453 5.34507 5.20213 5.08548 4.98838 4.90625 4.83584 4.7748 4.72134 4.67413 4.63213 4.59451 4.56062 4.52992
13 0.1 3.13621 2.76317 2.56027 2.43371 2.34672 2.28298 2.2341 2.19535 2.16382 2.13763 2.11552 2.09659 2.08019 2.06583 2.05316 2.04189 2.0318 2.02271 2.01447 2.00698
0.05 4.66719 3.80557 3.41053 3.17912 3.02544 2.91527 2.8321 2.76691 2.71436 2.67102 2.63465 2.60366 2.57693 2.55362 2.53311 2.51492 2.49867 2.48407 2.47087 2.45888
0.025 6.41425 4.96527 4.34718 3.9959 3.76667 3.60426 3.48267 3.38799 3.31203 3.24967 3.1975 3.15318 3.11504 3.08185 3.05271 3.02691 3.0039 2.98324 2.96459 2.94767
0.01 9.07381 6.70096 5.73938 5.20533 4.86162 4.62036 4.441 4.30206 4.19108 4.10027 4.02452 3.96033 3.9052 3.85734 3.81537 3.77825 3.7452 3.71556 3.68884 3.66461
0.005 11.3735 8.18649 6.92576 6.23346 5.79099 5.4819 5.25292 5.07605 4.93508 4.81994 4.72405 4.64289 4.57328 4.51289 4.45998 4.41324 4.37164 4.33436 4.30076 4.27032
14 0.1 3.10221 2.72647 2.52222 2.39469 2.30694 2.24256 2.19313 2.1539 2.12195 2.0954 2.07295 2.05371 2.03704 2.02243 2.00953 1.99805 1.98777 1.9785 1.9701 1.96245
0.05 4.60011 3.73889 3.34389 3.11225 2.95825 2.84773 2.7642 2.69867 2.64579 2.60216 2.5655 2.53424 2.50726 2.48373 2.463 2.44461 2.42818 2.4134 2.40004 2.3879
0.025 6.29794 4.8567 4.24173 3.89191 3.66342 3.50136 3.37993 3.28529 3.2093 3.14686 3.09459 3.05015 3.01189 2.97859 2.94932 2.92339 2.90026 2.87948 2.86072 2.84369
0.01 8.86159 6.51488 5.56389 5.03538 4.69496 4.45582 4.27788 4.13995 4.02968 3.9394 3.86404 3.80014 3.74524 3.69754 3.6557 3.61868 3.5857 3.55611 3.52942 3.50522
0.005 11.0603 7.92164 6.68035 5.99841 5.56226 5.25737 5.03134 4.85662 4.71726 4.60338 4.50848 4.42811 4.35915 4.29929 4.24682 4.20045 4.15916 4.12215 4.08878 4.05853
15 0.1 3.07319 2.69517 2.48979 2.36143 2.27302 2.20808 2.15818 2.11853 2.08621 2.05932 2.03658 2.01707 2.00015 1.98532 1.97222 1.96055 1.95009 1.94065 1.9321 1.92431
0.05 4.54308 3.68232 3.28738 3.05557 2.90129 2.79046 2.70663 2.6408 2.58763 2.54372 2.50681 2.47531 2.44811 2.42436 2.40345 2.38488 2.36827 2.35333 2.33982 2.32754
0.025 6.1995 4.76505 4.1528 3.80427 3.57642 3.41466 3.29336 3.19874 3.12271 3.0602 3.00783 2.96328 2.9249 2.89148 2.86209 2.83605 2.8128 2.79191 2.77304 2.7559
0.01 8.68312 6.35887 5.41696 4.89321 4.55561 4.31827 4.14155 4.00445 3.89479 3.80494 3.7299 3.66624 3.61151 3.56394 3.52219 3.48525 3.45231 3.42275 3.39608 3.37189
0.005 10.798 7.70076 6.47604 5.80291 5.37214 5.0708 4.84726 4.67436 4.53637 4.42354 4.32946 4.24975 4.18131 4.12189 4.06978 4.02371 3.98267 3.94587 3.91268 3.88259
16 0.1 3.04811 2.66817 2.46181 2.33274 2.24376 2.17833 2.128 2.08798 2.05533 2.02815 2.00513 1.98539 1.96824 1.95321 1.93992 1.92808 1.91746 1.90788 1.89919 1.89127
0.05 4.494 3.63372 3.23887 3.00692 2.85241 2.74131 2.6572 2.5911 2.53767 2.49351 2.45637 2.42466 2.39725 2.37332 2.35222 2.33348 2.31672 2.30164 2.28798 2.27557
0.025 6.11513 4.68667 4.07682 3.72942 3.50212 3.34063 3.21943 3.12482 3.04875 2.98616 2.9337 2.88905 2.85056 2.81702 2.78752 2.76136 2.738 2.717 2.69803 2.68079
0.01 8.53097 6.22624 5.29221 4.77258 4.43742 4.20163 4.02595 3.88957 3.78042 3.69093 3.61616 3.55269 3.4981 3.45063 3.40895 3.37205 3.33914 3.3096 3.28293 3.25874
0.005 10.5755 7.51382 6.30338 5.63785 5.2117 4.91342 4.69202 4.52066 4.38384 4.27189 4.17851 4.09935 4.03136 3.97229 3.92048 3.87465 3.83381 3.79718 3.76414 3.73417
17 0.1 3.02623 2.64464 2.43743 2.30775 2.21825 2.15239 2.10169 2.06134 2.02839 2.00094 1.97768 1.95772 1.94037 1.92516 1.91169 1.8997 1.88893 1.87921 1.8704 1.86236
0.05 4.45132 3.59153 3.19678 2.96471 2.81 2.69866 2.6143 2.54796 2.49429 2.44992 2.41256 2.38065 2.35306 2.32895 2.30769 2.2888 2.27189 2.25667 2.24289 2.23035
0.025 6.04201 4.61887 4.01116 3.66475 3.43794 3.27669 3.15558 3.06097 2.98486 2.92219 2.86964 2.82489 2.78629 2.75264 2.72303 2.69677 2.6733 2.6522 2.63313 2.6158
0.01 8.39974 6.11211 5.185 4.66897 4.33594 4.10151 3.92672 3.79096 3.68224 3.59307 3.51851 3.4552 3.40072 3.35333 3.31169 3.27482 3.24193 3.2124 3.18573 3.16152
0.005 10.3842 7.35362 6.15562 5.49669 5.07456 4.77894 4.55938 4.38937 4.25354 4.14236 4.04956 3.97087 3.90326 3.84449 3.79293 3.7473 3.70662 3.67013 3.63719 3.60732
18 0.1 3.00698 2.62395 2.41601 2.28577 2.19583 2.12958 2.07854 2.03789 2.00467 1.97698 1.95351 1.93334 1.91581 1.90043 1.88681 1.87467 1.86377 1.85392 1.84499 1.83685
0.05 4.41387 3.55456 3.15991 2.92774 2.77285 2.6613 2.57672 2.51016 2.45628 2.4117 2.37416 2.34207 2.3143 2.29003 2.26862 2.24959 2.23255 2.2172 2.2033 2.19065
0.025 5.97805 4.55967 3.95386 3.60834 3.38197 3.22092 3.09988 3.00527 2.92911 2.86638 2.81373 2.76888 2.73018 2.69643 2.66672 2.64035 2.61679 2.59559 2.57642 2.559
0.01 8.28542 6.0129 5.09189 4.57904 4.24788 4.01464 3.84064 3.70542 3.59707 3.50816 3.43379 3.37061 3.31622 3.26888 3.22729 3.19043 3.15754 3.12801 3.10132 3.0771
0.005 10.2181 7.21483 6.02777 5.37464 4.95604 4.66274 4.44479 4.27595 4.14098 4.03046 3.93818 3.85989 3.79259 3.73408 3.68272 3.63726 3.59672 3.56033 3.52749 3.49769
19 0.1 2.9899 2.60561 2.39702 2.2663 2.17596 2.10936 2.05802 2.0171 1.98364 1.95573 1.93205 1.9117 1.89401 1.87847 1.86471 1.85243 1.8414 1.83144 1.8224 1.81416
0.05 4.38075 3.52189 3.12735 2.89511 2.74006 2.62832 2.54353 2.47677 2.4227 2.37793 2.34021 2.30795 2.28003 2.25561 2.23406 2.2149 2.19773 2.18226 2.16825 2.1555
0.025 5.92163 4.50753 3.90343 3.55871 3.33272 3.17184 3.05087 2.95626 2.88005 2.81725 2.76452 2.71957 2.68078 2.64693 2.61712 2.59065 2.56699 2.54571 2.52645 2.50894
0.01 8.18495 5.92588 5.01029 4.50026 4.17077 3.93857 3.76527 3.63052 3.5225 3.43382 3.3596 3.29653 3.24221 3.19491 3.15334 3.1165 3.08361 3.05406 3.02736 3.00311
0.005 10.0725 7.09347 5.91608 5.26809 4.8526 4.56135 4.34483 4.17701 4.04281 3.93286 3.84102 3.76308 3.69605 3.63776 3.58657 3.54124 3.50082 3.46452 3.43175 3.40201
20 0.1 2.97465 2.58925 2.38009 2.24893 2.15823 2.09132 2.0397 1.99853 1.96485 1.93674 1.91288 1.89236 1.87451 1.85883 1.84494 1.83253 1.82139 1.81133 1.80219 1.79384
0.05 4.35124 3.49283 3.09839 2.86608 2.71089 2.59898 2.51401 2.44706 2.39281 2.34788 2.30999 2.27758 2.24951 2.22496 2.20327 2.18398 2.1667 2.15112 2.13701 2.12416
0.025 5.87149 4.46126 3.8587 3.5147 3.28906 3.12834 3.00742 2.9128 2.83655 2.77367 2.72086 2.67583 2.63694 2.603 2.5731 2.54654 2.52279 2.50142 2.48207 2.46448
0.01 8.09596 5.84893 4.93819 4.43069 4.10268 3.87143 3.69874 3.56441 3.45668 3.36819 3.29411 3.23112 3.17686 3.1296 3.08804 3.0512 3.0183 2.98873 2.96201 2.93774
0.005 9.94393 6.98646 5.8177 5.17428 4.76157 4.47215 4.25689 4.08997 3.95644 3.847 3.75555 3.67791 3.61111 3.553 3.50196 3.45676 3.41642 3.3802 3.34749 3.31779
dfn
F Table (continue)

4. dfd 21 22 23 24 25 26 27 28 29 30 40 50 60 70 80 90 100 110 120
11 0.1 2.11654 2.11057 2.10508 2.10001 2.09531 2.09095 2.08688 2.08309 2.07954 2.07621 2.05161 2.03643 2.02612 2.01866 2.01301 2.00859 2.00503 2.0021 1.99965
0.05 2.63584 2.62613 2.6172 2.60897 2.60136 2.5943 2.58772 2.58159 2.57586 2.57049 2.53091 2.50659 2.49012 2.47823 2.46925 2.46221 2.45656 2.45191 2.44802
0.025 3.21095 3.19705 3.18428 3.17252 3.16164 3.15156 3.14218 3.13344 3.12527 3.11762 3.06133 3.02684 3.00353 2.98672 2.97402 2.96409 2.95611 2.94956 2.94408
0.01 4.07688 4.05662 4.03803 4.02091 4.00509 3.99043 3.9768 3.9641 3.95224 3.94113 3.85957 3.80972 3.77607 3.75183 3.73353 3.71923 3.70774 3.69831 3.69044
0.005 4.82699 4.80119 4.77753 4.75575 4.73563 4.71698 4.69966 4.68352 4.66844 4.65434 4.55082 4.48762 4.445 4.41431 4.39116 4.37307 4.35854 4.34662 4.33666
12 0.1 2.05299 2.04686 2.04121 2.03599 2.03116 2.02667 2.02249 2.01858 2.01492 2.01149 1.9861 1.9704 1.95973 1.952 1.94615 1.94156 1.93786 1.93482 1.93228
0.05 2.53281 2.52293 2.51386 2.50548 2.49773 2.49054 2.48384 2.4776 2.47176 2.46628 2.42588 2.40102 2.38417 2.37199 2.36277 2.35556 2.34975 2.34498 2.34099
0.025 3.05746 3.04345 3.03058 3.01871 3.00774 2.99756 2.98809 2.97926 2.97101 2.96328 2.90635 2.87141 2.84777 2.8307 2.81781 2.80771 2.7996 2.79294 2.78737
0.01 3.83633 3.81612 3.79757 3.78049 3.76469 3.75005 3.73644 3.72375 3.71189 3.70079 3.61918 3.56922 3.53547 3.51114 3.49276 3.47839 3.46684 3.45736 3.44944
0.005 4.50199 4.47645 4.45302 4.43145 4.41151 4.39304 4.37587 4.35986 4.34492 4.33092 4.22815 4.16532 4.12292 4.09236 4.06929 4.05126 4.03678 4.02488 4.01495
13 0.1 2.00013 1.99385 1.98806 1.98272 1.97776 1.97316 1.96886 1.96485 1.9611 1.95757 1.93147 1.91529 1.90429 1.89631 1.89026 1.88551 1.88169 1.87855 1.87591
0.05 2.44794 2.43792 2.4287 2.4202 2.41232 2.40501 2.3982 2.39185 2.38591 2.38033 2.33918 2.31381 2.2966 2.28414 2.27472 2.26733 2.26139 2.2565 2.25241
0.025 2.93225 2.91813 2.90515 2.89319 2.88212 2.87186 2.8623 2.85339 2.84506 2.83725 2.77969 2.74432 2.72036 2.70305 2.68996 2.67971 2.67146 2.66469 2.65903
0.01 3.64254 3.62236 3.60383 3.58675 3.57096 3.55632 3.54271 3.53002 3.51815 3.50704 3.42529 3.37518 3.34129 3.31683 3.29836 3.2839 3.27228 3.26274 3.25476
0.005 4.24261 4.21727 4.19401 4.17259 4.15279 4.13444 4.11738 4.10148 4.08662 4.0727 3.97044 3.90783 3.86553 3.83504 3.812 3.79399 3.77951 3.76762 3.75769
14 0.1 1.95546 1.94904 1.94313 1.93766 1.9326 1.92788 1.92349 1.91939 1.91554 1.91193 1.88516 1.86855 1.85723 1.84902 1.84279 1.8379 1.83396 1.83072 1.828
0.05 2.37681 2.36665 2.35731 2.34868 2.34069 2.33327 2.32636 2.31991 2.31387 2.30821 2.26635 2.24051 2.22295 2.21024 2.20061 2.19306 2.18699 2.18199 2.17781
0.025 2.82816 2.81394 2.80087 2.78881 2.77765 2.7673 2.75766 2.74867 2.74026 2.73238 2.67422 2.63842 2.61415 2.5966 2.58333 2.57292 2.56456 2.55768 2.55192
0.01 3.48317 3.463 3.44447 3.42739 3.41159 3.39694 3.38331 3.3706 3.35873 3.3476 3.26564 3.21533 3.18127 3.15669 3.13809 3.12354 3.11184 3.10223 3.09419
0.005 4.03099 4.00581 3.98268 3.96137 3.94168 3.92341 3.90643 3.8906 3.8758 3.86194 3.76 3.69751 3.65525 3.62476 3.60172 3.58369 3.5692 3.5573 3.54735
15 0.1 1.91719 1.91065 1.90462 1.89904 1.89387 1.88906 1.88458 1.88039 1.87646 1.87277 1.84539 1.82837 1.81676 1.80833 1.80193 1.7969 1.79285 1.78952 1.78672
0.05 2.31632 2.30603 2.29657 2.28783 2.27973 2.27221 2.2652 2.25866 2.25253 2.24679 2.20428 2.17799 2.16011 2.14715 2.13733 2.12963 2.12343 2.11833 2.11406
0.025 2.74027 2.72595 2.71279 2.70064 2.6894 2.67896 2.66924 2.66017 2.65169 2.64374 2.58501 2.5488 2.52423 2.50645 2.49298 2.48243 2.47394 2.46696 2.46112
0.01 3.34984 3.32966 3.31112 3.29403 3.27822 3.26355 3.2499 3.23717 3.22526 3.21411 3.13191 3.08137 3.04713 3.0224 3.00368 2.98903 2.97724 2.96756 2.95945
0.005 3.85518 3.83011 3.80708 3.78586 3.76623 3.74803 3.7311 3.71532 3.70057 3.68675 3.58499 3.52254 3.48027 3.44975 3.42667 3.40861 3.39409 3.38216 3.37218
16 0.1 1.88403 1.87737 1.87124 1.86556 1.8603 1.8554 1.85083 1.84655 1.84255 1.83879 1.81084 1.79344 1.78156 1.77292 1.76636 1.7612 1.75704 1.75362 1.75075
0.05 2.26423 2.25383 2.24425 2.23541 2.22721 2.21959 2.2125 2.20587 2.19966 2.19384 2.15071 2.124 2.10581 2.09263 2.08262 2.07478 2.06845 2.06325 2.0589
0.025 2.66507 2.65065 2.6374 2.62517 2.61384 2.60332 2.59353 2.58439 2.57583 2.56781 2.50853 2.47193 2.44707 2.42906 2.41542 2.40473 2.39612 2.38904 2.38311
0.01 3.23668 3.21649 3.19793 3.18081 3.16497 3.15028 3.1366 3.12385 3.11191 3.10073 3.01825 2.96748 2.93305 2.90815 2.88931 2.87455 2.86267 2.85291 2.84474
0.005 3.70686 3.68187 3.65892 3.63776 3.61818 3.60003 3.58314 3.56739 3.55266 3.53887 3.43721 3.37473 3.33241 3.30183 3.2787 3.26059 3.24602 3.23405 3.22403
17 0.1 1.855 1.84824 1.84201 1.83624 1.83089 1.82591 1.82126 1.81691 1.81284 1.80901 1.78053 1.76277 1.75063 1.74179 1.73508 1.7298 1.72554 1.72203 1.71909
0.05 2.2189 2.20839 2.19871 2.18977 2.18148 2.17377 2.16659 2.15988 2.1536 2.14771 2.104 2.07689 2.05841 2.045 2.03483 2.02684 2.0204 2.0151 2.01066
0.025 2.59998 2.58548 2.57214 2.55982 2.54842 2.53783 2.52796 2.51875 2.51013 2.50204 2.44223 2.40525 2.3801 2.36188 2.34807 2.33724 2.32851 2.32133 2.31532
0.01 3.13944 3.11923 3.10064 3.0835 3.06764 3.05291 3.03921 3.02642 3.01445 3.00324 2.92046 2.86944 2.83481 2.80975 2.79077 2.7759 2.76393 2.75409 2.74585
0.005 3.58009 3.55516 3.53227 3.51115 3.49162 3.47349 3.45663 3.4409 3.42619 3.41241 3.31076 3.24822 3.20582 3.17517 3.15197 3.13379 3.11917 3.10715 3.09709
18 0.1 1.82939 1.82253 1.8162 1.81035 1.80491 1.79985 1.79513 1.79072 1.78658 1.78269 1.75371 1.73561 1.72322 1.7142 1.70734 1.70195 1.69759 1.694 1.69099
0.05 2.17909 2.16847 2.1587 2.14966 2.14129 2.1335 2.12624 2.11946 2.11311 2.10714 2.06289 2.0354 2.01664 2.00302 1.99268 1.98456 1.97801 1.97262 1.9681
0.025 2.5431 2.52851 2.51509 2.5027 2.49122 2.48055 2.47061 2.46134 2.45265 2.4445 2.38418 2.34684 2.32142 2.30299 2.28901 2.27804 2.2692 2.26193 2.25584
0.01 3.055 3.03476 3.01615 2.99897 2.98308 2.96832 2.95458 2.94176 2.92976 2.91852 2.83542 2.78414 2.74931 2.72409 2.70498 2.68999 2.67793 2.66801 2.6597
0.005 3.47052 3.44564 3.42278 3.4017 3.38219 3.36409 3.34724 3.33152 3.31682 3.30304 3.20136 3.13872 3.09622 3.06547 3.04219 3.02394 3.00926 2.99718 2.98707
19 0.1 1.8066 1.79965 1.79324 1.78731 1.7818 1.77666 1.77188 1.76739 1.76319 1.75924 1.72979 1.71138 1.69876 1.68956 1.68256 1.67706 1.67261 1.66894 1.66587
0.05 2.14383 2.13313 2.12326 2.11414 2.10569 2.09782 2.09049 2.08363 2.07721 2.07119 2.02641 1.99856 1.97954 1.96572 1.95522 1.94697 1.94031 1.93483 1.93024
0.025 2.49295 2.47829 2.46479 2.45232 2.44077 2.43003 2.42003 2.41069 2.40194 2.39374 2.33292 2.29523 2.26955 2.25092 2.23678 2.22568 2.21673 2.20936 2.20319
0.01 2.98098 2.96071 2.94207 2.92487 2.90894 2.89414 2.88037 2.86751 2.85548 2.8442 2.76079 2.70925 2.67421 2.64882 2.62958 2.61448 2.60232 2.59232 2.58394
0.005 3.37488 3.35005 3.32721 3.30615 3.28666 3.26857 3.25173 3.23601 3.22131 3.20753 3.10577 3.04301 3.00039 2.96954 2.94616 2.92784 2.91309 2.90095 2.89079
20 0.1 1.7862 1.77917 1.77268 1.76667 1.76108 1.75589 1.75103 1.74649 1.74223 1.73822 1.70833 1.68962 1.67678 1.66741 1.66028 1.65467 1.65013 1.64639 1.64326
0.05 2.1124 2.1016 2.09165 2.08245 2.07392 2.06598 2.05858 2.05166 2.04517 2.03909 1.99382 1.96563 1.94636 1.93234 1.92169 1.91331 1.90655 1.90099 1.89632
0.025 2.44841 2.43367 2.4201 2.40756 2.39594 2.38514 2.37507 2.36567 2.35687 2.3486 2.28732 2.24929 2.22336 2.20453 2.19023 2.179 2.16994 2.16249 2.15624
0.01 2.91558 2.89528 2.8766 2.85936 2.8434 2.82857 2.81476 2.80187 2.7898 2.77848 2.69475 2.64295 2.60771 2.58216 2.56277 2.54757 2.53531 2.52523 2.51678
0.005 3.2907 3.26589 3.24307 3.22203 3.20254 3.18446 3.16762 3.1519 3.1372 3.12341 3.02153 2.95863 2.91588 2.88492 2.86145 2.84304 2.82821 2.81602 2.8058
dfn
F Table (continue)

5. dfd 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
21 0.1 2.96096 2.57457 2.36489 2.23334 2.14231 2.07512 2.02325 1.98186 1.94797 1.91967 1.89565 1.87497 1.85698 1.84116 1.82715 1.81463 1.80338 1.79322 1.78398 1.77555
0.05 4.32479 3.4668 3.07247 2.8401 2.68478 2.57271 2.48758 2.42046 2.36605 2.32095 2.28292 2.25036 2.22216 2.19747 2.17567 2.15626 2.13887 2.12319 2.10898 2.09603
0.025 5.82665 4.41992 3.81876 3.47541 3.25008 3.08951 2.96863 2.874 2.7977 2.73476 2.68188 2.63676 2.59779 2.56375 2.53376 2.50712 2.48328 2.46183 2.4424 2.42474
0.01 8.0166 5.78042 4.87405 4.36882 4.04214 3.81173 3.63959 3.50563 3.39815 3.30983 3.23587 3.17295 3.11874 3.0715 3.02995 2.99311 2.96019 2.93061 2.90386 2.87956
0.005 9.82952 6.89142 5.73039 5.09107 4.68086 4.39306 4.17893 4.01282 3.87989 3.7709 3.67978 3.60241 3.53582 3.47787 3.42695 3.38184 3.34159 3.30542 3.27276 3.24309
22 0.1 2.94858 2.56131 2.35117 2.21927 2.12794 2.0605 2.0084 1.9668 1.93273 1.90425 1.88007 1.85925 1.84113 1.82519 1.81106 1.79843 1.78709 1.77683 1.7675 1.75899
0.05 4.30095 3.44336 3.04913 2.81671 2.66127 2.54906 2.46377 2.3965 2.34194 2.2967 2.25852 2.22583 2.1975 2.17269 2.15078 2.13126 2.11377 2.09799 2.08369 2.07066
0.025 5.7863 4.38277 3.78289 3.44013 3.21509 3.05464 2.9338 2.83915 2.76282 2.69981 2.64685 2.60166 2.5626 2.52848 2.49841 2.47168 2.44776 2.42623 2.40673 2.38898
0.01 7.94539 5.71902 4.81661 4.31343 3.98796 3.7583 3.58666 3.45303 3.34577 3.25761 3.18374 3.12089 3.06671 3.01949 2.97795 2.94109 2.90816 2.87855 2.85178 2.82745
0.005 9.72706 6.80645 5.6524 5.01678 4.6088 4.32248 4.10936 3.94398 3.81158 3.70298 3.61217 3.53502 3.46862 3.41081 3.36 3.31497 3.27478 3.23867 3.20603 3.1764
23 0.1 2.93736 2.54929 2.33873 2.20651 2.11491 2.04723 1.99492 1.95312 1.91888 1.89025 1.86593 1.84497 1.82672 1.81067 1.79643 1.78371 1.77227 1.76192 1.75251 1.74392
0.05 4.27934 3.42213 3.028 2.79554 2.64 2.52766 2.44223 2.37481 2.32011 2.27473 2.23642 2.20361 2.17516 2.15024 2.12822 2.1086 2.09101 2.07515 2.06075 2.04764
0.025 5.7498 4.3492 3.75049 3.40827 3.18349 3.02315 2.90235 2.80769 2.73131 2.66824 2.61521 2.56994 2.5308 2.49661 2.46645 2.43965 2.41565 2.39404 2.37447 2.35665
0.01 7.88113 5.6637 4.76488 4.26357 3.93919 3.71022 3.53902 3.40569 3.29863 3.2106 3.13682 3.07402 3.01987 2.97267 2.93112 2.89425 2.8613 2.83167 2.80487 2.7805
0.005 9.6348 6.73003 5.58232 4.95005 4.5441 4.2591 4.0469 3.88217 3.75025 3.64201 3.55147 3.47453 3.40828 3.35059 3.29988 3.25492 3.21478 3.17871 3.14611 3.11649
24 0.1 2.92712 2.53833 2.32739 2.19488 2.10303 2.03513 1.98263 1.94066 1.90625 1.87748 1.85302 1.83194 1.81358 1.79742 1.78308 1.77026 1.75873 1.7483 1.73882 1.73015
0.05 4.25968 3.40283 3.00879 2.77629 2.62065 2.50819 2.42263 2.35508 2.30024 2.25474 2.21631 2.18338 2.15482 2.1298 2.10767 2.08796 2.07028 2.05433 2.03986 2.02666
0.025 5.71664 4.31873 3.72108 3.37936 3.15482 2.99459 2.87381 2.77913 2.70271 2.63959 2.58649 2.54115 2.50194 2.46766 2.43743 2.41055 2.38648 2.3648 2.34515 2.32727
0.01 7.82287 5.61359 4.71805 4.21845 3.89507 3.66672 3.49593 3.36287 3.25599 3.16807 3.09437 3.03161 2.97749 2.93029 2.88873 2.85185 2.81888 2.78923 2.76239 2.738
0.005 9.55127 6.66095 5.519 4.88978 4.48568 4.20189 3.99052 3.82638 3.69489 3.58697 3.49668 3.41992 3.35381 3.29623 3.24559 3.2007 3.1606 3.12456 3.09198 3.06238
25 0.1 2.91774 2.52831 2.31702 2.18424 2.09216 2.02406 1.97138 1.92925 1.89469 1.86578 1.8412 1.82 1.80153 1.78527 1.77083 1.75793 1.74632 1.73581 1.72625 1.71752
0.05 4.2417 3.38519 2.99124 2.75871 2.60299 2.49041 2.40473 2.33706 2.2821 2.23647 2.19793 2.16489 2.13623 2.11111 2.08889 2.06909 2.05132 2.03529 2.02074 2.00747
0.025 5.68637 4.29093 3.69427 3.35301 3.12868 2.96855 2.8478 2.75311 2.67664 2.61347 2.5603 2.51489 2.47561 2.44126 2.41095 2.384 2.35986 2.33811 2.3184 2.30045
0.01 7.7698 5.568 4.67546 4.17742 3.85496 3.62717 3.45675 3.32394 3.21722 3.12941 3.05577 2.99306 2.93895 2.89175 2.85019 2.81329 2.7803 2.75061 2.72375 2.69932
0.005 9.47531 6.5982 5.46152 4.83509 4.43267 4.14999 3.93937 3.77577 3.64468 3.53705 3.44697 3.37038 3.30439 3.2469 3.19634 3.1515 3.11144 3.07543 3.04286 3.01327
26 0.1 2.90913 2.5191 2.30749 2.17447 2.08218 2.01389 1.96104 1.91876 1.88407 1.85503 1.83032 1.80902 1.79045 1.77409 1.75957 1.74658 1.7349 1.72431 1.71469 1.70589
0.05 4.2252 3.36902 2.97515 2.74259 2.58679 2.47411 2.38831 2.32053 2.26545 2.21972 2.18107 2.14793 2.11917 2.09395 2.07164 2.05176 2.03391 2.0178 2.00318 1.98984
0.025 5.65862 4.26548 3.66974 3.32889 3.10477 2.94472 2.82399 2.72928 2.65278 2.58955 2.53633 2.49085 2.4515 2.41708 2.38671 2.35968 2.33548 2.31366 2.29389 2.27588
0.01 7.72125 5.52633 4.63657 4.13996 3.81834 3.59108 3.42099 3.2884 3.18182 3.09411 3.02053 2.95785 2.90375 2.85655 2.81498 2.77807 2.74505 2.71534 2.68845 2.66399
0.005 9.40593 6.54095 5.40911 4.78524 4.38437 4.10269 3.89277 3.72967 3.59892 3.49156 3.40168 3.32524 3.25936 3.20196 3.15146 3.10666 3.06663 3.03064 2.99809 2.9685
27 0.1 2.90119 2.51061 2.29871 2.16546 2.07298 2.00452 1.95151 1.90909 1.87427 1.84511 1.82029 1.79889 1.78022 1.76378 1.74917 1.73611 1.72435 1.7137 1.704 1.69514
0.05 4.21001 3.35413 2.96035 2.72777 2.57189 2.45911 2.37321 2.30531 2.25013 2.20429 2.16554 2.1323 2.10345 2.07815 2.05575 2.03579 2.01787 2.00169 1.98699 1.97359
0.025 5.63311 4.24209 3.64719 3.30674 3.0828 2.92283 2.80212 2.7074 2.63086 2.56758 2.51429 2.46875 2.42933 2.39485 2.36441 2.33733 2.31306 2.29118 2.27134 2.25327
0.01 7.67668 5.48812 4.60091 4.10562 3.78477 3.55799 3.38822 3.25583 3.14939 3.06175 2.98823 2.92557 2.87149 2.82429 2.7827 2.74577 2.71273 2.68299 2.65607 2.63158
0.005 9.34232 6.48851 5.36113 4.73962 4.34017 4.05942 3.85014 3.68748 3.55707 3.44995 3.36024 3.28393 3.21816 3.16083 3.11038 3.06562 3.02562 2.98965 2.9571 2.92752
28 0.1 2.89385 2.50276 2.2906 2.15714 2.06447 1.99585 1.9427 1.90014 1.8652 1.83593 1.81101 1.78951 1.77075 1.75423 1.73954 1.72641 1.71457 1.70386 1.69411 1.68519
0.05 4.19597 3.34039 2.94669 2.71408 2.55813 2.44526 2.35926 2.29126 2.23598 2.19004 2.1512 2.11787 2.08893 2.06354 2.04107 2.02103 2.00304 1.98678 1.97203 1.95856
0.025 5.60956 4.22053 3.62641 3.28632 3.06255 2.90265 2.78196 2.68722 2.61064 2.54732 2.49398 2.44837 2.40889 2.37435 2.34385 2.3167 2.29237 2.27043 2.25054 2.23241
0.01 7.63562 5.45294 4.56809 4.07403 3.75389 3.52756 3.35807 3.22587 3.11955 3.03199 2.95851 2.89588 2.8418 2.7946 2.753 2.71605 2.68299 2.65322 2.62627 2.60174
0.005 9.28377 6.4403 5.31704 4.69771 4.29958 4.01968 3.81099 3.64875 3.51863 3.41173 3.32219 3.246 3.18032 3.12305 3.07265 3.02793 2.98795 2.95198 2.91945 2.88986
29 0.1 2.88703 2.49548 2.28307 2.14941 2.05658 1.98781 1.93452 1.89184 1.85679 1.82741 1.8024 1.78081 1.76196 1.74536 1.7306 1.71739 1.7055 1.69472 1.68491 1.67593
0.05 4.18296 3.32765 2.93403 2.7014 2.54539 2.43243 2.34634 2.27825 2.22287 2.17684 2.13791 2.10449 2.07547 2.05 2.02746 2.00735 1.98928 1.97297 1.95815 1.94462
0.025 5.58777 4.20057 3.60719 3.26744 3.04383 2.884 2.76332 2.66856 2.59195 2.52858 2.47518 2.42952 2.38998 2.35538 2.32482 2.29761 2.27322 2.25122 2.23127 2.2131
0.01 7.59766 5.42045 4.53779 4.04487 3.7254 3.49947 3.33025 3.19822 3.09201 3.00452 2.93108 2.86847 2.8144 2.76719 2.72558 2.6886 2.65552 2.62573 2.59874 2.57419
0.005 9.22973 6.39583 5.27639 4.65908 4.26217 3.98307 3.77491 3.61305 3.48322 3.37652 3.28713 3.21105 3.14544 3.08824 3.03788 2.99318 2.95322 2.91727 2.88474 2.85515
30 0.1 2.88069 2.48872 2.27607 2.14223 2.04925 1.98033 1.92692 1.88412 1.84896 1.81949 1.79438 1.7727 1.75378 1.7371 1.72227 1.709 1.69704 1.6862 1.67634 1.66731
0.05 4.17088 3.31583 2.92228 2.68963 2.53355 2.42052 2.33434 2.26616 2.2107 2.16458 2.12556 2.09206 2.06296 2.03742 2.0148 1.99462 1.9765 1.96012 1.94524 1.93165
0.025 5.56753 4.18206 3.58936 3.24993 3.02647 2.8667 2.74603 2.65126 2.57461 2.51119 2.45775 2.41203 2.37244 2.33777 2.30715 2.27989 2.25544 2.23339 2.21339 2.19516
0.01 7.56248 5.39035 4.50974 4.01788 3.69902 3.47348 3.3045 3.17262 3.06652 2.97909 2.90569 2.8431 2.78902 2.74181 2.70018 2.66319 2.63008 2.60026 2.57325 2.54866
0.005 9.17968 6.35469 5.23879 4.62336 4.22758 3.94921 3.74156 3.58006 3.45048 3.34396 3.25471 3.17873 3.1132 3.05605 3.00573 2.96105 2.92111 2.88516 2.85263 2.82304
F Table (continue)
dfn

6. dfd 21 22 23 24 25 26 27 28 29 30 40 50 60 70 80 90 100 110 120
21 0.1 1.76782 1.76071 1.75415 1.74807 1.74242 1.73716 1.73224 1.72764 1.72333 1.71927 1.68896 1.66996 1.65691 1.64738 1.64013 1.63441 1.62979 1.62598 1.62278
0.05 2.08419 2.07331 2.06328 2.054 2.0454 2.03739 2.02992 2.02294 2.01639 2.01025 1.96452 1.936 1.91649 1.90229 1.89148 1.88299 1.87613 1.87048 1.86574
0.025 2.40859 2.39378 2.38013 2.36753 2.35584 2.34498 2.33485 2.32539 2.31653 2.30821 2.24648 2.20812 2.18194 2.16292 2.14847 2.13712 2.12796 2.12042 2.11409
0.01 2.85737 2.83704 2.81832 2.80105 2.78505 2.77018 2.75634 2.74341 2.73131 2.71995 2.6359 2.58384 2.54839 2.52268 2.50316 2.48784 2.47549 2.46533 2.45681
0.005 3.21603 3.19124 3.16844 3.14739 3.12791 3.10983 3.09298 3.07726 3.06255 3.04875 2.94674 2.88368 2.8408 2.80971 2.78614 2.76764 2.75274 2.74048 2.73021
22 0.1 1.75118 1.744 1.73736 1.73122 1.72551 1.72018 1.71521 1.71056 1.70619 1.70208 1.67138 1.6521 1.63885 1.62918 1.6218 1.61598 1.61128 1.6074 1.60415
0.05 2.05873 2.04777 2.03767 2.02832 2.01964 2.01157 2.00404 1.997 1.9904 1.9842 1.93802 1.90919 1.88945 1.87507 1.86412 1.85551 1.84856 1.84283 1.83802
0.025 2.37277 2.35788 2.34417 2.3315 2.31975 2.30883 2.29864 2.28912 2.28021 2.27184 2.20968 2.17101 2.14459 2.12539 2.11079 2.09931 2.09006 2.08243 2.07603
0.01 2.80523 2.78486 2.76611 2.7488 2.73276 2.71786 2.70398 2.69102 2.67888 2.66749 2.58311 2.5308 2.49515 2.46927 2.44962 2.43419 2.42175 2.4115 2.40292
0.005 3.14935 3.12457 3.10178 3.08074 3.06126 3.04316 3.02631 3.01058 2.99586 2.98205 2.87988 2.81666 2.77363 2.74242 2.71874 2.70016 2.68518 2.67285 2.66253
23 0.1 1.73604 1.72879 1.72209 1.71588 1.71011 1.70473 1.6997 1.695 1.69058 1.68643 1.65535 1.63581 1.62237 1.61255 1.60505 1.59914 1.59437 1.59042 1.58711
0.05 2.03563 2.0246 2.01442 2.00501 1.99627 1.98814 1.98055 1.97345 1.96679 1.96054 1.91394 1.88481 1.86484 1.85029 1.83921 1.83049 1.82345 1.81764 1.81276
0.025 2.34036 2.32541 2.31164 2.29891 2.2871 2.27612 2.26588 2.25631 2.24734 2.23892 2.17634 2.13737 2.11073 2.09134 2.0766 2.06501 2.05565 2.04794 2.04147
0.01 2.75825 2.73785 2.71907 2.70172 2.68565 2.67071 2.65679 2.64379 2.63161 2.62019 2.5355 2.48294 2.44708 2.42104 2.40126 2.38572 2.37318 2.36286 2.35421
0.005 3.08945 3.06468 3.04189 3.02085 3.00136 2.98326 2.9664 2.95065 2.93592 2.9221 2.81975 2.75636 2.71318 2.68184 2.65806 2.63939 2.62433 2.61193 2.60155
24 0.1 1.7222 1.71489 1.70812 1.70185 1.69603 1.69059 1.68552 1.68076 1.6763 1.6721 1.64067 1.62089 1.60726 1.5973 1.58969 1.58369 1.57883 1.57483 1.57146
0.05 2.01458 2.00348 1.99324 1.98376 1.97496 1.96677 1.95912 1.95197 1.94526 1.93896 1.89195 1.86254 1.84236 1.82764 1.81643 1.8076 1.80047 1.79458 1.78964
0.025 2.31092 2.29591 2.28207 2.26928 2.25741 2.24638 2.23608 2.22646 2.21744 2.20898 2.146 2.10674 2.07987 2.06032 2.04543 2.03373 2.02427 2.01648 2.00995
0.01 2.71571 2.69527 2.67646 2.65907 2.64296 2.62799 2.61403 2.601 2.58879 2.57733 2.49232 2.43951 2.40346 2.37726 2.35735 2.3417 2.32908 2.31867 2.30996
0.005 3.03535 3.01058 2.98779 2.96674 2.94725 2.92913 2.91226 2.8965 2.88175 2.86791 2.76538 2.70182 2.65848 2.62702 2.60313 2.58436 2.56923 2.55676 2.54632
25 0.1 1.70951 1.70213 1.69531 1.68898 1.6831 1.67762 1.67249 1.66769 1.66319 1.65895 1.62718 1.60715 1.59335 1.58325 1.57554 1.56945 1.56452 1.56045 1.55703
0.05 1.99532 1.98415 1.97385 1.96431 1.95545 1.9472 1.9395 1.93229 1.92554 1.91919 1.8718 1.84211 1.82173 1.80685 1.79551 1.78658 1.77936 1.7734 1.7684
0.025 2.28404 2.26897 2.25507 2.24222 2.2303 2.21921 2.20887 2.1992 2.19013 2.18162 2.11826 2.07872 2.05164 2.03191 2.0169 2.00508 1.99553 1.98766 1.98106
0.01 2.67701 2.65653 2.63768 2.62026 2.60411 2.5891 2.57511 2.56204 2.5498 2.53831 2.45299 2.39994 2.36369 2.33733 2.3173 2.30154 2.28883 2.27835 2.26956
0.005 2.98625 2.96148 2.93868 2.91762 2.89812 2.87999 2.8631 2.84733 2.83256 2.81871 2.71598 2.65224 2.60875 2.57716 2.55316 2.5343 2.51909 2.50656 2.49605
26 0.1 1.69781 1.69038 1.6835 1.67712 1.67119 1.66566 1.66049 1.65565 1.6511 1.64682 1.61472 1.59447 1.5805 1.57027 1.56245 1.55628 1.55128 1.54715 1.54368
0.05 1.97763 1.96639 1.95603 1.94643 1.93751 1.92921 1.92146 1.91421 1.9074 1.90101 1.85325 1.8233 1.80272 1.78769 1.77623 1.76719 1.75989 1.75386 1.74879
0.025 2.2594 2.24427 2.23032 2.21742 2.20545 2.19431 2.18391 2.17419 2.16508 2.15653 2.0928 2.05299 2.0257 2.00581 1.99066 1.97874 1.9691 1.96115 1.95448
0.01 2.64164 2.62113 2.60224 2.58479 2.5686 2.55356 2.53953 2.52643 2.51415 2.50262 2.41701 2.36371 2.32728 2.30077 2.2806 2.26474 2.25194 2.24139 2.23254
0.005 2.94148 2.9167 2.8939 2.87283 2.85331 2.83517 2.81827 2.80248 2.78769 2.77382 2.6709 2.60698 2.56334 2.53161 2.5075 2.48855 2.47326 2.46066 2.45009
27 0.1 1.68701 1.67952 1.67259 1.66616 1.66018 1.65461 1.64939 1.64451 1.63992 1.6356 1.6032 1.58273 1.56859 1.55824 1.55032 1.54407 1.539 1.53481 1.53129
0.05 1.96131 1.95002 1.93959 1.92994 1.92097 1.91262 1.90482 1.89752 1.89067 1.88424 1.83613 1.80592 1.78515 1.76997 1.75839 1.74926 1.74187 1.73577 1.73065
0.025 2.23674 2.22155 2.20755 2.19459 2.18257 2.17138 2.16094 2.15118 2.14203 2.13343 2.06934 2.02927 2.00178 1.98173 1.96646 1.95443 1.9447 1.93668 1.92995
0.01 2.60919 2.58865 2.56973 2.55224 2.53602 2.52094 2.50688 2.49374 2.48143 2.46987 2.38396 2.33043 2.29381 2.26715 2.24686 2.2309 2.21801 2.20738 2.19846
0.005 2.9005 2.87571 2.8529 2.83182 2.81229 2.79413 2.77721 2.76141 2.7466 2.73271 2.62959 2.56548 2.52169 2.48983 2.46561 2.44657 2.4312 2.41853 2.40791
28 0.1 1.677 1.66945 1.66247 1.656 1.64997 1.64435 1.6391 1.63417 1.62955 1.62519 1.5925 1.57182 1.55753 1.54705 1.53903 1.5327 1.52757 1.52333 1.51976
0.05 1.94622 1.93487 1.92439 1.91469 1.90567 1.89727 1.88942 1.88208 1.87519 1.86871 1.82026 1.78981 1.76886 1.75354 1.74184 1.73261 1.72515 1.71898 1.7138
0.025 2.21582 2.20058 2.18653 2.17352 2.16145 2.15022 2.13973 2.12992 2.12073 2.11209 2.04766 2.00733 1.97965 1.95945 1.94405 1.93192 1.92211 1.91401 1.90722
0.01 2.57933 2.55875 2.53979 2.52227 2.50602 2.4909 2.47681 2.46364 2.45129 2.4397 2.3535 2.29975 2.26294 2.23613 2.21572 2.19966 2.18668 2.17598 2.167
0.005 2.86284 2.83805 2.81522 2.79413 2.77458 2.75641 2.73947 2.72365 2.70882 2.69491 2.59159 2.5273 2.48335 2.45137 2.42704 2.40791 2.39246 2.37972 2.36904
29 0.1 1.66769 1.66009 1.65307 1.64655 1.64048 1.63482 1.62953 1.62456 1.6199 1.61551 1.58253 1.56165 1.54721 1.53662 1.52851 1.5221 1.5169 1.5126 1.50899
0.05 1.93222 1.92082 1.91029 1.90053 1.89147 1.88302 1.87513 1.86774 1.86081 1.85429 1.80552 1.77484 1.7537 1.73824 1.72644 1.71712 1.70957 1.70334 1.69811
0.025 2.19646 2.18116 2.16706 2.15401 2.14189 2.13061 2.12008 2.11023 2.101 2.09232 2.02756 1.98699 1.95912 1.93877 1.92325 1.91102 1.90112 1.89296 1.8861
0.01 2.55174 2.53113 2.51214 2.49458 2.4783 2.46315 2.44902 2.43582 2.42344 2.41182 2.32534 2.27136 2.23437 2.20742 2.18689 2.17073 2.15767 2.14689 2.13785
0.005 2.82812 2.80332 2.78048 2.75937 2.73981 2.72162 2.70467 2.68882 2.67398 2.66005 2.55652 2.49205 2.44795 2.41584 2.3914 2.37218 2.35665 2.34384 2.3331
30 0.1 1.65902 1.65137 1.6443 1.63774 1.63163 1.62593 1.6206 1.6156 1.6109 1.60648 1.57323 1.55215 1.53757 1.52686 1.51866 1.51218 1.50692 1.50257 1.49891
0.05 1.9192 1.90775 1.89716 1.88736 1.87825 1.86976 1.86183 1.8544 1.84743 1.84087 1.79179 1.76088 1.73957 1.72398 1.71206 1.70265 1.69504 1.68874 1.68345
0.025 2.17847 2.16313 2.14898 2.13588 2.12372 2.11239 2.10183 2.09194 2.08266 2.07394 2.00887 1.96806 1.94001 1.91951 1.90388 1.89155 1.88157 1.87334 1.86642
0.01 2.52618 2.50553 2.48651 2.46892 2.4526 2.43742 2.42327 2.41003 2.39762 2.38597 2.29921 2.24501 2.20785 2.18076 2.16011 2.14385 2.13071 2.11986 2.11076
0.005 2.796 2.77119 2.74834 2.72722 2.70764 2.68944 2.67246 2.6566 2.64173 2.62778 2.52406 2.4594 2.41515 2.38291 2.35837 2.33905 2.32345 2.31057 2.29977
dfn
F Table (continue)

7. dfd 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
40 0.1 2.83535 2.44037 2.22609 2.09095 1.99682 1.92688 1.87252 1.82886 1.7929 1.76269 1.73689 1.71456 1.69503 1.67778 1.66241 1.64863 1.63619 1.62489 1.61459 1.60515
0.05 4.08475 3.23173 2.83875 2.60597 2.44947 2.33585 2.24902 2.18017 2.12403 2.07725 2.03758 2.00346 1.97376 1.94764 1.92446 1.90375 1.88511 1.86824 1.85289 1.83886
0.025 5.42394 4.05099 3.46326 3.12611 2.90372 2.74438 2.62378 2.52886 2.45194 2.38816 2.33431 2.28816 2.24811 2.21298 2.1819 2.15418 2.12929 2.1068 2.08636 2.06771
0.01 7.3141 5.17851 4.31257 3.82829 3.51384 3.29101 3.12376 2.99298 2.88756 2.80055 2.72735 2.66483 2.61073 2.5634 2.52162 2.48442 2.45108 2.42101 2.39374 2.36888
0.005 8.82786 6.06643 4.97584 4.37378 3.98605 3.71291 3.50881 3.34979 3.22198 3.11675 3.02842 2.9531 2.88804 2.8312 2.78108 2.73653 2.69663 2.66068 2.62809 2.59842
50 0.1 2.80866 2.41195 2.19673 2.06082 1.966 1.89543 1.8405 1.7963 1.75984 1.72915 1.70291 1.68017 1.66024 1.64262 1.6269 1.61278 1.60002 1.58842 1.57782 1.56811
0.05 4.03431 3.18261 2.79001 2.55718 2.40041 2.28644 2.1992 2.12992 2.07335 2.02614 1.98606 1.95153 1.92143 1.89493 1.87138 1.85031 1.83133 1.81413 1.79846 1.78412
0.025 5.34032 3.97493 3.39019 3.05441 2.83265 2.67355 2.55297 2.45794 2.38082 2.31679 2.26266 2.21621 2.17585 2.14041 2.10901 2.08098 2.05577 2.03297 2.01224 1.99329
0.01 7.17058 5.05661 4.19934 3.71955 3.40768 3.18643 3.02017 2.89001 2.78496 2.69814 2.62503 2.5625 2.50833 2.46089 2.41896 2.3816 2.34807 2.3178 2.29032 2.26524
0.005 8.62576 5.90162 4.82587 4.23163 3.8486 3.5785 3.37645 3.21886 3.09205 2.98752 2.89968 2.8247 2.75986 2.70315 2.6531 2.60856 2.56863 2.53261 2.49994 2.47016
60 0.1 2.79107 2.39325 2.17741 2.04099 1.94571 1.87472 1.81939 1.77483 1.73802 1.70701 1.68046 1.65743 1.63723 1.61934 1.60337 1.58901 1.57602 1.56421 1.5534 1.54349
0.05 4.00119 3.15041 2.75808 2.52522 2.36827 2.25405 2.16654 2.09697 2.0401 1.99259 1.95221 1.9174 1.88702 1.86024 1.83644 1.81511 1.79589 1.77845 1.76255 1.74798
0.025 5.28561 3.92527 3.34252 3.00766 2.78631 2.62737 2.50679 2.41167 2.33441 2.2702 2.21586 2.16919 2.12861 2.09294 2.06131 2.03304 2.00761 1.98458 1.96363 1.94447
0.01 7.07711 4.97743 4.12589 3.64905 3.33888 3.11867 2.95305 2.82328 2.71845 2.63175 2.55867 2.49612 2.44188 2.39435 2.3523 2.3148 2.28113 2.2507 2.22305 2.19781
0.005 8.49462 5.79499 4.72899 4.13989 3.75995 3.49183 3.29111 3.13444 3.00827 2.90418 2.81664 2.74186 2.67714 2.6205 2.57046 2.5259 2.48592 2.44984 2.41708 2.3872
70 0.1 2.7786 2.38002 2.16374 2.02695 1.93134 1.86005 1.80444 1.75961 1.72255 1.6913 1.66452 1.64128 1.62087 1.60279 1.58663 1.57209 1.55893 1.54695 1.53599 1.52593
0.05 3.97778 3.12768 2.73554 2.50266 2.34559 2.23119 2.14348 2.07369 2.0166 1.96887 1.92828 1.89325 1.86266 1.83568 1.81168 1.79017 1.77075 1.75313 1.73706 1.72233
0.025 5.24703 3.89029 3.30897 2.97476 2.75371 2.59487 2.47429 2.37911 2.30173 2.23738 2.18289 2.13606 2.0953 2.05946 2.02766 1.99921 1.97361 1.95041 1.92929 1.90996
0.01 7.0114 4.92187 4.0744 3.59965 3.29069 3.07121 2.90603 2.77653 2.67186 2.58523 2.51216 2.44957 2.39528 2.34766 2.30552 2.26791 2.23412 2.20356 2.17579 2.15041
0.005 8.40266 5.72037 4.66127 4.0758 3.69803 3.43132 3.23154 3.0755 2.94977 2.84599 2.75865 2.684 2.61935 2.56274 2.5127 2.4681 2.42808 2.39193 2.3591 2.32914
80 0.1 2.76931 2.37015 2.15355 2.01649 1.92064 1.84911 1.79329 1.74825 1.711 1.67957 1.65262 1.62921 1.60865 1.59041 1.57411 1.55944 1.54614 1.53404 1.52295 1.51276
0.05 3.96035 3.11077 2.71879 2.48588 2.32872 2.21419 2.12632 2.05637 1.99911 1.95122 1.91046 1.87526 1.84451 1.81738 1.79322 1.77156 1.752 1.73424 1.71803 1.70316
0.025 5.21835 3.86433 3.28408 2.95036 2.72953 2.57077 2.45018 2.35494 2.27748 2.21303 2.15842 2.11145 2.07056 2.03458 2.00264 1.97406 1.94832 1.92498 1.90373 1.88427
0.01 6.96269 4.88074 4.0363 3.56311 3.25505 3.03611 2.87127 2.74196 2.6374 2.55081 2.47775 2.41514 2.36079 2.31311 2.27088 2.23318 2.19929 2.16864 2.14076 2.11527
0.005 8.33461 5.66524 4.61127 4.02851 3.65236 3.38668 3.18759 3.03203 2.90662 2.80305 2.71586 2.6413 2.57669 2.5201 2.47005 2.42543 2.38536 2.34915 2.31626 2.28622
90 0.1 2.76211 2.36251 2.14566 2.00839 1.91235 1.84065 1.78465 1.73946 1.70205 1.67048 1.64339 1.61985 1.59916 1.58081 1.56439 1.54961 1.53621 1.524 1.51282 1.50253
0.05 3.94688 3.0977 2.70584 2.47293 2.31569 2.20106 2.11307 2.04299 1.98559 1.93757 1.89667 1.86134 1.83047 1.80321 1.77893 1.75714 1.73747 1.71959 1.70327 1.6883
0.025 5.19621 3.8443 3.26488 2.93154 2.71088 2.55218 2.43159 2.3363 2.25877 2.19423 2.13952 2.09245 2.05145 2.01537 1.98331 1.95462 1.92877 1.90533 1.88396 1.86439
0.01 6.92514 4.84906 4.00697 3.53499 3.22763 3.00911 2.84451 2.71536 2.61088 2.52433 2.45126 2.38862 2.33423 2.28649 2.2442 2.20643 2.17246 2.14172 2.11375 2.08818
0.005 8.28222 5.62284 4.57284 3.99217 3.61727 3.35239 3.15384 2.99864 2.87348 2.77008 2.683 2.60849 2.54392 2.48733 2.43727 2.39262 2.35251 2.31626 2.28331 2.2532
100 0.1 2.75638 2.35643 2.13938 2.00194 1.90574 1.8339 1.77776 1.73244 1.69492 1.66323 1.63603 1.61238 1.59159 1.57314 1.55663 1.54175 1.52827 1.51597 1.50471 1.49435
0.05 3.93614 3.0873 2.69553 2.46261 2.30532 2.1906 2.10251 2.03233 1.97483 1.92669 1.88569 1.85026 1.81927 1.79191 1.76753 1.74565 1.72588 1.70791 1.6915 1.67643
0.025 5.17859 3.82837 3.24962 2.91658 2.69606 2.5374 2.41681 2.32148 2.24389 2.17928 2.12449 2.07734 2.03625 2.00008 1.96793 1.93915 1.9132 1.88967 1.86822 1.84856
0.01 6.8953 4.82391 3.9837 3.51268 3.20587 2.98768 2.8233 2.69426 2.58984 2.50331 2.43024 2.36758 2.31316 2.26537 2.22301 2.18518 2.15114 2.12033 2.09229 2.06665
0.005 8.24064 5.58922 4.54238 3.96338 3.58947 3.32523 3.1271 2.97219 2.84723 2.74396 2.65696 2.5825 2.51795 2.46136 2.41129 2.36661 2.32647 2.29017 2.25717 2.22702
110 0.1 2.7517 2.35146 2.13425 1.99668 1.90035 1.82839 1.77215 1.72672 1.68909 1.6573 1.63002 1.60628 1.5854 1.56687 1.55028 1.53533 1.52177 1.50941 1.49808 1.48765
0.05 3.92739 3.07882 2.68714 2.45421 2.29687 2.18208 2.09391 2.02364 1.96605 1.91783 1.87673 1.84121 1.81014 1.78269 1.75823 1.73627 1.71641 1.69837 1.68188 1.66674
0.025 5.16424 3.8154 3.2372 2.90441 2.684 2.52538 2.40478 2.30942 2.23178 2.16711 2.11226 2.06504 2.02387 1.98762 1.9554 1.92654 1.90052 1.87691 1.85538 1.83565
0.01 6.87103 4.80346 3.96478 3.49456 3.18819 2.97028 2.80605 2.67712 2.57274 2.48623 2.41316 2.35048 2.29602 2.24819 2.20579 2.1679 2.13381 2.10294 2.07484 2.04912
0.005 8.20684 5.56191 4.51765 3.94 3.56691 3.30319 3.10541 2.95072 2.82592 2.72275 2.63582 2.5614 2.49687 2.44028 2.39019 2.34549 2.30532 2.26898 2.23594 2.20574
120 0.1 2.74781 2.34734 2.12999 1.9923 1.89587 1.82381 1.76748 1.72196 1.68425 1.65238 1.62501 1.6012 1.58026 1.56166 1.545 1.52999 1.51637 1.50394 1.49256 1.48207
0.05 3.92012 3.07178 2.68017 2.44724 2.28985 2.17501 2.08677 2.01643 1.95876 1.91046 1.86929 1.8337 1.80255 1.77503 1.7505 1.72846 1.70854 1.69043 1.67388 1.65868
0.025 5.15233 3.80464 3.22689 2.89431 2.67399 2.5154 2.39479 2.29941 2.22173 2.15701 2.1021 2.05482 2.0136 1.97728 1.94499 1.91607 1.88998 1.86631 1.84471 1.82492
0.01 6.85089 4.78651 3.9491 3.47953 3.17355 2.95585 2.79176 2.66291 2.55857 2.47208 2.399 2.3363 2.28181 2.23395 2.1915 2.15357 2.11943 2.08851 2.06035 2.03459
0.005 8.17883 5.53929 4.49717 3.92065 3.54823 3.28494 3.08744 2.93296 2.80828 2.7052 2.61832 2.54393 2.47941 2.42282 2.37271 2.32799 2.28779 2.25143 2.21835 2.18811
F Table (continue)
dfn

8. dfd 21 22 23 24 25 26 27 28 29 30 40 50 60 70 80 90 100 110 120
40 0.1 1.59647 1.58845 1.58102 1.57411 1.56767 1.56166 1.55603 1.55074 1.54576 1.54108 1.50562 1.48296 1.46716 1.4555 1.44652 1.4394 1.43361 1.42881 1.42476
0.05 1.82598 1.8141 1.80312 1.79294 1.78346 1.77461 1.76634 1.75858 1.75129 1.74443 1.6928 1.66 1.63725 1.62051 1.60767 1.59749 1.58922 1.58238 1.57661
0.025 2.05062 2.03488 2.02034 2.00687 1.99434 1.98267 1.97176 1.96154 1.95194 1.94292 1.8752 1.83238 1.80277 1.78103 1.76437 1.75119 1.7405 1.73165 1.7242
0.01 2.34611 2.32518 2.30588 2.288 2.2714 2.25593 2.2415 2.22798 2.2153 2.20338 2.11423 2.05811 2.01941 1.99106 1.96937 1.95223 1.93834 1.92685 1.91719
0.005 2.57127 2.54632 2.52332 2.50204 2.48229 2.4639 2.44674 2.43068 2.41563 2.40148 2.29584 2.22951 2.18384 2.15043 2.1249 2.10474 2.0884 2.0749 2.06356
50 0.1 1.55916 1.55088 1.54321 1.53607 1.5294 1.52317 1.51733 1.51184 1.50667 1.5018 1.46478 1.44094 1.42424 1.41185 1.40229 1.39468 1.38847 1.3833 1.37894
0.05 1.77095 1.75879 1.74753 1.73708 1.72734 1.71825 1.70974 1.70175 1.69424 1.68716 1.63368 1.5995 1.57565 1.55804 1.54447 1.53369 1.52491 1.51762 1.51147
0.025 1.97591 1.95989 1.94508 1.93134 1.91856 1.90663 1.89548 1.88502 1.87519 1.86594 1.79627 1.75195 1.72114 1.69843 1.68097 1.66712 1.65585 1.6465 1.63862
0.01 2.24226 2.22111 2.20158 2.18349 2.16666 2.15098 2.13633 2.12261 2.10972 2.09759 2.00659 1.94896 1.90903 1.87966 1.85712 1.83926 1.82475 1.81273 1.8026
0.005 2.44289 2.41781 2.39466 2.37323 2.35332 2.33477 2.31745 2.30122 2.286 2.27169 2.16444 2.09671 2.04986 2.01546 1.98908 1.9682 1.95124 1.9372 1.92537
60 0.1 1.53434 1.52588 1.51803 1.51072 1.50389 1.4975 1.49151 1.48587 1.48055 1.47554 1.43734 1.41261 1.3952 1.38224 1.37221 1.36419 1.35764 1.35219 1.34757
0.05 1.73459 1.72222 1.71077 1.70012 1.69019 1.68091 1.67222 1.66406 1.65638 1.64914 1.59427 1.55901 1.53431 1.516 1.50185 1.49058 1.48139 1.47373 1.46727
0.025 1.92687 1.91065 1.89563 1.8817 1.86872 1.85661 1.84527 1.83463 1.82463 1.8152 1.74405 1.69855 1.66679 1.6433 1.62519 1.61078 1.59904 1.58928 1.58103
0.01 2.17465 2.15334 2.13363 2.11536 2.09837 2.08252 2.06771 2.05381 2.04076 2.02848 1.93602 1.87719 1.83626 1.80606 1.78282 1.76436 1.74933 1.73685 1.72632
0.005 2.35982 2.33462 2.31135 2.28979 2.26975 2.25107 2.23361 2.21725 2.20189 2.18743 2.07887 2.00999 1.96217 1.92693 1.89984 1.87835 1.86086 1.84635 1.83411
70 0.1 1.51664 1.50804 1.50005 1.4926 1.48565 1.47914 1.47303 1.46727 1.46185 1.45673 1.41761 1.39217 1.37419 1.36077 1.35034 1.342 1.33517 1.32946 1.32463
0.05 1.70877 1.69624 1.68463 1.67383 1.66376 1.65434 1.64551 1.63722 1.62941 1.62204 1.56608 1.52996 1.50457 1.48569 1.47106 1.45939 1.44984 1.44188 1.43515
0.025 1.8922 1.87581 1.86064 1.84655 1.83343 1.82116 1.80968 1.7989 1.78876 1.77921 1.70687 1.66043 1.6279 1.60377 1.58512 1.57025 1.55811 1.548 1.53945
0.01 2.12712 2.10567 2.08583 2.06743 2.0503 2.03432 2.01936 2.00534 1.99216 1.97975 1.88612 1.8263 1.78456 1.75367 1.72983 1.71087 1.6954 1.68253 1.67166
0.005 2.30166 2.27637 2.25299 2.23132 2.21117 2.19238 2.17481 2.15834 2.14286 2.1283 2.01865 1.94882 1.90018 1.86424 1.83655 1.81453 1.79659 1.78167 1.76908
80 0.1 1.50336 1.49465 1.48656 1.47901 1.47196 1.46535 1.45914 1.4533 1.44778 1.44258 1.40272 1.3767 1.35825 1.34445 1.3337 1.32508 1.318 1.31209 1.30707
0.05 1.68947 1.67682 1.66509 1.65417 1.64398 1.63445 1.62551 1.61711 1.6092 1.60173 1.54489 1.50807 1.48211 1.46275 1.44773 1.43571 1.42586 1.41764 1.41068
0.025 1.86638 1.84986 1.83457 1.82036 1.80711 1.79473 1.78313 1.77224 1.76199 1.75233 1.67904 1.63182 1.59866 1.57399 1.55488 1.53962 1.52714 1.51673 1.50791
0.01 2.09187 2.07031 2.05036 2.03185 2.01461 1.99852 1.98346 1.96933 1.95604 1.94353 1.84893 1.78831 1.74588 1.7144 1.69007 1.67067 1.65482 1.64162 1.63045
0.005 2.25866 2.23329 2.20983 2.18807 2.16783 2.14894 2.13128 2.11471 2.09915 2.08449 1.97393 1.9033 1.85398 1.81744 1.78924 1.76677 1.74843 1.73316 1.72025
90 0.1 1.49304 1.48424 1.47606 1.46843 1.46129 1.4546 1.44832 1.4424 1.43682 1.43154 1.39108 1.36457 1.34574 1.3316 1.32058 1.31172 1.30444 1.29834 1.29316
0.05 1.6745 1.66175 1.64992 1.6389 1.62862 1.619 1.60997 1.60149 1.59349 1.58594 1.52837 1.49097 1.46453 1.44477 1.4294 1.41709 1.40699 1.39854 1.39137
0.025 1.8464 1.82978 1.81438 1.80007 1.78673 1.77425 1.76256 1.75158 1.74124 1.73149 1.65741 1.60955 1.57584 1.55072 1.53122 1.51562 1.50284 1.49217 1.48313
0.01 2.06469 2.04304 2.023 2.00439 1.98706 1.97088 1.95573 1.94151 1.92814 1.91554 1.82014 1.75883 1.71582 1.68385 1.65909 1.63931 1.62313 1.60964 1.59821
0.005 2.22558 2.20014 2.1766 2.15477 2.13445 2.11549 2.09775 2.0811 2.06546 2.05072 1.93941 1.8681 1.81818 1.78114 1.75248 1.72962 1.71094 1.69536 1.68218
100 0.1 1.48478 1.4759 1.46765 1.45995 1.45275 1.446 1.43965 1.43367 1.42803 1.42269 1.38172 1.35481 1.33564 1.32123 1.30996 1.3009 1.29344 1.28718 1.28186
0.05 1.66256 1.64972 1.6378 1.62671 1.61635 1.60665 1.59755 1.58899 1.58092 1.5733 1.51513 1.47723 1.45039 1.43028 1.41462 1.40205 1.39172 1.38308 1.37573
0.025 1.83048 1.81377 1.79829 1.7839 1.77047 1.75792 1.74615 1.73509 1.72468 1.71485 1.64011 1.59169 1.55753 1.53201 1.51218 1.49629 1.48325 1.47235 1.4631
0.01 2.04308 2.02135 2.00124 1.98256 1.96515 1.9489 1.93367 1.91938 1.90593 1.89325 1.79718 1.73529 1.69178 1.65938 1.63424 1.61414 1.59767 1.58392 1.57226
0.005 2.19934 2.17383 2.15024 2.12834 2.10796 2.08893 2.07112 2.05441 2.0387 2.02389 1.91193 1.84004 1.78962 1.75213 1.72308 1.69988 1.68089 1.66504 1.65161
110 0.1 1.47802 1.46908 1.46077 1.45301 1.44576 1.43895 1.43255 1.42652 1.42082 1.41544 1.37403 1.34678 1.32732 1.31266 1.30119 1.29195 1.28433 1.27793 1.27249
0.05 1.65279 1.63988 1.6279 1.61674 1.60631 1.59655 1.58739 1.57877 1.57064 1.56296 1.50427 1.46595 1.43875 1.41835 1.40243 1.38963 1.37911 1.37029 1.36279
0.025 1.81749 1.80072 1.78517 1.7707 1.75721 1.74458 1.73275 1.72162 1.71115 1.70126 1.62595 1.57706 1.5425 1.51665 1.49652 1.48037 1.4671 1.456 1.44657
0.01 2.0255 2.0037 1.98352 1.96478 1.94731 1.93099 1.9157 1.90134 1.88783 1.87509 1.77844 1.71605 1.6721 1.63932 1.61386 1.59347 1.57674 1.56276 1.5509
0.005 2.17801 2.15245 2.12881 2.10686 2.08642 2.06733 2.04946 2.0327 2.01693 2.00206 1.88954 1.81715 1.76628 1.7284 1.69902 1.67551 1.65625 1.64016 1.62651
120 0.1 1.47238 1.4634 1.45503 1.44723 1.43992 1.43307 1.42662 1.42054 1.41481 1.40938 1.3676 1.34005 1.32034 1.30547 1.29382 1.28441 1.27665 1.27013 1.26457
0.05 1.64467 1.6317 1.61966 1.60844 1.59796 1.58814 1.57892 1.57025 1.56207 1.55434 1.4952 1.45652 1.42901 1.40835 1.3922 1.3792 1.3685 1.35953 1.35189
0.025 1.8067 1.78986 1.77425 1.75973 1.74617 1.73349 1.7216 1.71042 1.69989 1.68994 1.61415 1.56485 1.52994 1.50379 1.4834 1.46702 1.45355 1.44227 1.43268
0.01 2.01091 1.98906 1.96882 1.95002 1.93249 1.91612 1.90077 1.88636 1.8728 1.86001 1.76285 1.70002 1.65569 1.62258 1.59683 1.57618 1.55923 1.54504 1.53299
0.005 2.16034 2.13473 2.11104 2.08904 2.06856 2.04942 2.0315 2.01469 1.99887 1.98395 1.87095 1.79811 1.74685 1.70863 1.67894 1.65516 1.63566 1.61935 1.60551
dfn
F Table (continue)