SOURCEBOOK

Intro | Statistical Tables

Snedecor’s F

Critical Values of the F Distribution

Tabled Values are F Statistics for the Given Probabilities and Degrees of Freedom

dfEFFECT = 1       dfEFFECT = 2       dfEFFECT = 3       dfEFFECT = 4    
dfERROR p = .05 p = .01   dfERROR p = .05 p = .01   dfERROR p = .05 p = .01   dfERROR p = .05 p = .01
2 18.513 98.503   2 19.000 99.000   2 19.164 99.166   2 19.247 99.249
3 10.128 34.116   3 9.552 30.817   3 9.277 29.457   3 9.117 28.710
4 7.709 21.198   4 6.944 18.000   4 6.591 16.694   4 6.388 15.977
5 6.608 16.258   5 5.786 13.274   5 5.409 12.060   5 5.192 11.392
6 5.987 13.745   6 5.143 10.925   6 4.757 9.780   6 4.534 9.148
7 5.591 12.246   7 4.737 9.547   7 4.347 8.451   7 4.120 7.847
8 5.318 11.259   8 4.459 8.649   8 4.066 7.591   8 3.838 7.006
9 5.117 10.561   9 4.256 8.022   9 3.863 6.992   9 3.633 6.422
10 4.965 10.044   10 4.103 7.559   10 3.708 6.552   10 3.478 5.994
11 4.844 9.646   11 3.982 7.206   11 3.587 6.217   11 3.357 5.668
12 4.747 9.330   12 3.885 6.927   12 3.490 5.953   12 3.259 5.412
13 4.667 9.074   13 3.806 6.701   13 3.411 5.739   13 3.179 5.205
14 4.600 8.862   14 3.739 6.515   14 3.344 5.564   14 3.112 5.035
15 4.543 8.683   15 3.682 6.359   15 3.287 5.417   15 3.056 4.893
16 4.494 8.531   16 3.634 6.226   16 3.239 5.292   16 3.007 4.773
17 4.451 8.400   17 3.592 6.112   17 3.197 5.185   17 2.965 4.669
18 4.414 8.285   18 3.555 6.013   18 3.160 5.092   18 2.928 4.579
19 4.381 8.185   19 3.522 5.926   19 3.127 5.010   19 2.895 4.500
20 4.351 8.096   20 3.493 5.849   20 3.098 4.938   20 2.866 4.431
21 4.325 8.017   21 3.467 5.780   21 3.072 4.874   21 2.840 4.369
22 4.301 7.945   22 3.443 5.719   22 3.049 4.817   22 2.817 4.313
23 4.279 7.881   23 3.422 5.664   23 3.028 4.765   23 2.796 4.264
24 4.260 7.823   24 3.403 5.614   24 3.009 4.718   24 2.776 4.218
25 4.242 7.770   25 3.385 5.568   25 2.991 4.675   25 2.759 4.177
26 4.225 7.721   26 3.369 5.526   26 2.975 4.637   26 2.743 4.140
27 4.210 7.677   27 3.354 5.488   27 2.960 4.601   27 2.728 4.106
28 4.196 7.636   28 3.340 5.453   28 2.947 4.568   28 2.714 4.074
29 4.183 7.598   29 3.328 5.420   29 2.934 4.538   29 2.701 4.045
30 4.171 7.562   30 3.316 5.390   30 2.922 4.510   30 2.690 4.018
35 4.121 7.419   35 3.267 5.268   35 2.874 4.396   35 2.641 3.908
40 4.085 7.314   40 3.232 5.179   40 2.839 4.313   40 2.606 3.828
45 4.057 7.234   45 3.204 5.110   45 2.812 4.249   45 2.579 3.767
50 4.034 7.171   50 3.183 5.057   50 2.790 4.199   50 2.557 3.720
55 4.016 7.119   55 3.165 5.013   55 2.773 4.159   55 2.540 3.681
60 4.001 7.077   60 3.150 4.977   60 2.758 4.126   60 2.525 3.649
70 3.978 7.011   70 3.128 4.922   70 2.736 4.074   70 2.503 3.600
80 3.960 6.963   80 3.111 4.881   80 2.719 4.036   80 2.486 3.563
90 3.947 6.925   90 3.098 4.849   90 2.706 4.007   90 2.473 3.535
100 3.936 6.895   100 3.087 4.824   100 2.696 3.984   100 2.463 3.513
120 3.920 6.851   120 3.072 4.787   120 2.680 3.949   120 2.447 3.480
240 3.880 6.742   240 3.033 4.695   240 2.642 3.864   240 2.409 3.398
∞ 3.842 6.635   ∞ 2.996 4.605   ∞ 2.605 3.782   ∞ 2.372 3.319

Critical Values of the F Distribution

Tabled Values are F Statistics for the Given Probabilities and dfEFFECT = 1

dfERROR .90 .80 .70 .60 .50 .40 .30 .20 .10 .05 .04 .03 .02 .01 .001
2 .020 .083 .198 .381 .667 1.13 1.922 3.556 8.526 18.51 23.51 31.84 48.51 98.50 998.50
3 .019 .077 .180 .342 .585 .957 1.562 2.682 5.538 10.13 12.12 15.18 20.62 34.12 167.03
4 .018 .073 .172 .323 .549 .885 1.415 2.351 4.545 7.709 8.991 10.87 14.04 21.20 74.137
5 .017 .071 .167 .313 .528 .846 1.336 2.178 4.060 6.608 7.598 9.017 11.32 16.26 47.181
6 .017 .070 .163 .306 .515 .820 1.286 2.073 3.776 5.987 6.824 8.003 9.876 13.75 35.507
7 .017 .069 .161 .302 .506 .803 1.253 2.002 3.589 5.591 6.334 7.369 8.988 12.25 29.245
8 .017 .069 .160 .298 .499 .790 1.228 1.951 3.458 5.318 5.998 6.937 8.389 11.26 25.415
9 .017 .068 .158 .295 .494 .780 1.209 1.913 3.360 5.117 5.753 6.624 7.961 10.56 22.857
10 .017 .068 .157 .293 .490 .773 1.195 1.883 3.285 4.965 5.566 6.388 7.638 10.04 21.040
11 .017 .067 .156 .292 .486 .767 1.183 1.859 3.225 4.844 5.420 6.203 7.388 9.646 19.687
12 .016 .067 .156 .290 .484 .761 1.173 1.839 3.177 4.747 5.303 6.055 7.188 9.330 18.643
13 .016 .067 .155 .289 .481 .757 1.165 1.823 3.136 4.667 5.206 5.933 7.024 9.074 17.815
14 .016 .067 .155 .288 .479 .754 1.158 1.809 3.102 4.600 5.125 5.832 6.888 8.862 17.143
15 .016 .067 .154 .287 .478 .750 1.152 1.797 3.073 4.543 5.056 5.746 6.773 8.683 16.587
16 .016 .066 .154 .286 .476 .748 1.147 1.787 3.048 4.494 4.997 5.672 6.674 8.531 16.120
17 .016 .066 .154 .286 .475 .745 1.143 1.778 3.026 4.451 4.945 5.608 6.589 8.400 15.722
18 .016 .066 .153 .285 .474 .743 1.139 1.770 3.007 4.414 4.900 5.552 6.515 8.285 15.379
19 .016 .066 .153 .284 .473 .741 1.135 1.763 2.990 4.381 4.861 5.502 6.449 8.185 15.081
20 .016 .066 .153 .284 .472 .740 1.132 1.757 2.975 4.351 4.825 5.458 6.391 8.096 14.819
21 .016 .066 .153 .284 .471 .738 1.129 1.751 2.961 4.325 4.794 5.419 6.339 8.017 14.587
22 .016 .066 .152 .283 .470 .737 1.127 1.746 2.949 4.301 4.765 5.383 6.292 7.945 14.380
23 .016 .066 .152 .283 .470 .735 1.124 1.741 2.937 4.279 4.739 5.351 6.249 7.881 14.195
24 .016 .066 .152 .282 .469 .734 1.122 1.737 2.927 4.260 4.716 5.322 6.211 7.823 14.028
25 .016 .066 .152 .282 .468 .733 1.120 1.733 2.918 4.242 4.694 5.295 6.176 7.770 13.877
26 .016 .066 .152 .282 .468 .732 1.118 1.729 2.909 4.225 4.674 5.271 6.144 7.721 13.739
27 .016 .065 .152 .282 .467 .731 1.117 1.726 2.901 4.210 4.656 5.248 6.114 7.677 13.613
28 .016 .065 .152 .281 .467 .730 1.115 1.723 2.894 4.196 4.639 5.228 6.087 7.636 13.498
29 .016 .065 .151 .281 .467 .730 1.114 1.720 2.887 4.183 4.624 5.208 6.062 7.598 13.391
30 .016 .065 .151 .281 .466 .729 1.112 1.717 2.881 4.171 4.609 5.190 6.038 7.562 13.293
35 .016 .065 .151 .280 .465 .726 1.107 1.706 2.855 4.121 4.550 5.117 5.942 7.419 12.896
40 .016 .065 .151 .279 .463 .724 1.103 1.698 2.835 4.085 4.507 5.064 5.872 7.314 12.609
45 .016 .065 .150 .279 .462 .722 1.099 1.692 2.820 4.057 4.473 5.022 5.818 7.234 12.392
50 .016 .065 .150 .279 .462 .721 1.097 1.687 2.809 4.034 4.447 4.990 5.776 7.171 12.222
55 .016 .065 .150 .278 .461 .719 1.095 1.683 2.799 4.016 4.425 4.963 5.741 7.119 12.085
60 .016 .065 .150 .278 .460 .719 1.093 1.679 2.791 4.001 4.407 4.941 5.713 7.077 11.973
70 .016 .065 .150 .278 .460 .717 1.090 1.674 2.779 3.978 4.380 4.907 5.668 7.011 11.799
80 .016 .065 .150 .277 .459 .716 1.088 1.670 2.769 3.960 4.359 4.882 5.635 6.963 11.671
90 .016 .065 .149 .277 .459 .715 1.087 1.667 2.762 3.947 4.343 4.862 5.610 6.925 11.573
100 .016 .065 .149 .277 .458 .714 1.085 1.664 2.756 3.936 4.330 4.847 5.590 6.895 11.495
120 .016 .064 .149 .276 .458 .713 1.084 1.661 2.748 3.920 4.311 4.823 5.559 6.851 11.380
240 .016 .064 .149 .276 .456 .711 1.079 1.651 2.727 3.880 4.264 4.766 5.485 6.742 11.099
∞ .016 .064 .148 .275 .455 .708 1.074 1.642 2.706 3.842 4.218 4.709 5.412 6.635 10.828

Critical Values of the F Distribution

Tabled Values are F Statistics for the Given Probabilities and dfEFFECT = 2

dfERROR .90 .80 .70 .60 .50 .40 .30 .20 .10 .05 .04 .03 .02 .01 .001
2 .111 .250 .429 .667 1.00 1.50 2.333 4.000 9.000 19.00 24.00 32.33 49.00 99.00 999.00
3 .109 .241 .403 .609 .881 1.26 1.847 2.886 5.462 9.552 11.32 14.04 18.86 30.82 148.50
4 .108 .236 .390 .582 .828 1.16 1.651 2.472 4.325 6.944 8.000 9.547 12.14 18.00 61.246
5 .108 .233 .383 .567 .799 1.11 1.547 2.259 3.780 5.786 6.560 7.665 9.454 13.27 37.122
6 .107 .232 .379 .557 .780 1.07 1.481 2.130 3.463 5.143 5.772 6.655 8.052 10.92 27.000
7 .107 .230 .375 .550 .767 1.05 1.437 2.043 3.257 4.737 5.280 6.032 7.203 9.547 21.689
8 .107 .229 .373 .545 .757 1.03 1.405 1.981 3.113 4.459 4.944 5.611 6.637 8.649 18.494
9 .107 .229 .371 .541 .749 1.02 1.380 1.935 3.006 4.256 4.702 5.309 6.234 8.022 16.387
10 .106 .228 .370 .538 .743 1.01 1.361 1.899 2.924 4.103 4.518 5.082 5.934 7.559 14.905
11 .106 .228 .368 .535 .739 .997 1.346 1.870 2.860 3.982 4.375 4.905 5.701 7.206 13.812
12 .106 .227 .367 .533 .735 .990 1.333 1.846 2.807 3.885 4.260 4.764 5.516 6.927 12.974
13 .106 .227 .367 .531 .731 .984 1.323 1.826 2.763 3.806 4.165 4.648 5.366 6.701 12.313
14 .106 .227 .366 .530 .729 .979 1.314 1.809 2.726 3.739 4.087 4.552 5.241 6.515 11.779
15 .106 .226 .365 .529 .726 .975 1.306 1.795 2.695 3.682 4.020 4.470 5.135 6.359 11.339
16 .106 .226 .365 .527 .724 .971 1.299 1.783 2.668 3.634 3.963 4.401 5.046 6.226 10.971
17 .106 .226 .364 .526 .722 .968 1.293 1.772 2.645 3.592 3.913 4.340 4.968 6.112 10.658
18 .106 .226 .364 .526 .721 .965 1.288 1.762 2.624 3.555 3.870 4.288 4.900 6.013 10.390
19 .106 .226 .363 .525 .719 .962 1.284 1.754 2.606 3.522 3.831 4.241 4.840 5.926 10.157
20 .106 .226 .363 .524 .718 .960 1.279 1.746 2.589 3.493 3.797 4.200 4.788 5.849 9.953
21 .106 .226 .363 .523 .717 .957 1.276 1.739 2.575 3.467 3.767 4.163 4.740 5.780 9.772
22 .106 .225 .363 .523 .715 .956 1.272 1.733 2.561 3.443 3.739 4.130 4.698 5.719 9.612
23 .106 .225 .362 .522 .714 .954 1.269 1.728 2.549 3.422 3.715 4.100 4.660 5.664 9.469
24 .106 .225 .362 .522 .714 .952 1.266 1.722 2.538 3.403 3.692 4.073 4.625 5.614 9.339
25 .106 .225 .362 .521 .713 .951 1.264 1.718 2.528 3.385 3.671 4.048 4.593 5.568 9.223
26 .106 .225 .362 .521 .712 .949 1.261 1.713 2.519 3.369 3.652 4.025 4.564 5.526 9.116
27 .106 .225 .361 .521 .711 .948 1.259 1.709 2.511 3.354 3.635 4.004 4.538 5.488 9.019
28 .106 .225 .361 .520 .711 .947 1.257 1.706 2.503 3.340 3.619 3.985 4.513 5.453 8.931
29 .106 .225 .361 .520 .710 .946 1.255 1.702 2.495 3.328 3.604 3.967 4.491 5.420 8.849
30 .106 .225 .361 .520 .709 .945 1.254 1.699 2.489 3.316 3.590 3.950 4.470 5.390 8.773
35 .106 .225 .360 .518 .707 .941 1.246 1.686 2.461 3.267 3.534 3.883 4.384 5.268 8.470
40 .106 .224 .360 .517 .705 .938 1.241 1.676 2.440 3.232 3.492 3.833 4.321 5.179 8.251
45 .106 .224 .360 .517 .704 .935 1.237 1.668 2.425 3.204 3.461 3.795 4.273 5.110 8.086
50 .106 .224 .359 .516 .703 .933 1.233 1.662 2.412 3.183 3.435 3.764 4.235 5.057 7.956
55 .106 .224 .359 .516 .702 .932 1.231 1.657 2.402 3.165 3.415 3.740 4.204 5.013 7.853
60 .106 .224 .359 .515 .701 .930 1.228 1.653 2.393 3.150 3.398 3.720 4.179 4.977 7.768
70 .106 .224 .358 .515 .700 .928 1.225 1.647 2.380 3.128 3.372 3.688 4.139 4.922 7.637
80 .105 .224 .358 .514 .699 .927 1.222 1.642 2.370 3.111 3.352 3.665 4.110 4.881 7.540
90 .105 .224 .358 .514 .699 .926 1.220 1.639 2.363 3.098 3.337 3.647 4.087 4.849 7.466
100 .105 .224 .358 .513 .698 .925 1.219 1.636 2.356 3.087 3.325 3.632 4.069 4.824 7.408
120 .105 .224 .358 .513 .697 .923 1.216 1.631 2.347 3.072 3.307 3.611 4.042 4.787 7.321
240 .105 .223 .357 .512 .695 .920 1.210 1.620 2.325 3.033 3.262 3.558 3.976 4.695 7.110
∞ .105 .223 .357 .511 .693 .916 1.204 1.609 2.303 2.996 3.219 3.507 3.912 4.605 6.908

Critical Values of the F Distribution

Tabled Values are F Statistics for the Given Probabilities and dfEFFECT = 3

dfERROR .90 .80 .70 .60 .50 .40 .30 .20 .10 .05 .04 .03 .02 .01 .001
2 .183 .346 .541 .792 1.13 1.64 2.484 4.156 9.162 19.16 24.16 32.50 49.17 99.17 999.17
3 .186 .341 .516 .728 1.00 1.37 1.940 2.936 5.391 9.277 10.96 13.53 18.11 29.46 141.11
4 .187 .338 .504 .699 .941 1.26 1.721 2.485 4.191 6.591 7.557 8.972 11.34 16.69 56.177
5 .188 .337 .497 .682 .907 1.20 1.605 2.253 3.619 5.409 6.098 7.080 8.670 12.06 33.202
6 .189 .337 .493 .672 .886 1.16 1.532 2.113 3.289 4.757 5.305 6.073 7.287 9.780 23.703
7 .190 .336 .490 .664 .871 1.13 1.482 2.019 3.074 4.347 4.811 5.454 6.454 8.451 18.772
8 .190 .336 .488 .659 .860 1.11 1.446 1.951 2.924 4.066 4.476 5.039 5.901 7.591 15.829
9 .191 .336 .487 .655 .852 1.10 1.419 1.901 2.813 3.863 4.234 4.741 5.510 6.992 13.902
10 .191 .336 .485 .651 .845 1.08 1.398 1.861 2.728 3.708 4.052 4.517 5.218 6.552 12.553
11 .191 .336 .484 .649 .840 1.07 1.381 1.830 2.660 3.587 3.910 4.344 4.993 6.217 11.561
12 .192 .336 .483 .646 .835 1.07 1.366 1.804 2.606 3.490 3.795 4.205 4.814 5.953 10.804
13 .192 .335 .483 .645 .832 1.06 1.355 1.783 2.560 3.411 3.702 4.092 4.669 5.739 10.209
14 .192 .335 .482 .643 .828 1.05 1.345 1.765 2.522 3.344 3.624 3.998 4.549 5.564 9.729
15 .192 .335 .482 .642 .826 1.05 1.336 1.749 2.490 3.287 3.558 3.918 4.447 5.417 9.335
16 .192 .335 .481 .640 .823 1.04 1.328 1.736 2.462 3.239 3.502 3.850 4.361 5.292 9.006
17 .193 .335 .481 .639 .821 1.04 1.322 1.724 2.437 3.197 3.453 3.791 4.286 5.185 8.727
18 .193 .335 .480 .638 .819 1.04 1.316 1.713 2.416 3.160 3.410 3.740 4.221 5.092 8.487
19 .193 .335 .480 .638 .818 1.03 1.311 1.704 2.397 3.127 3.372 3.694 4.164 5.010 8.280
20 .193 .335 .480 .637 .816 1.03 1.306 1.696 2.380 3.098 3.338 3.654 4.113 4.938 8.098
21 .193 .335 .479 .636 .815 1.03 1.302 1.688 2.365 3.072 3.308 3.618 4.068 4.874 7.938
22 .193 .335 .479 .636 .814 1.03 1.298 1.682 2.351 3.049 3.281 3.586 4.028 4.817 7.796
23 .193 .335 .479 .635 .813 1.02 1.295 1.676 2.339 3.028 3.257 3.557 3.991 4.765 7.669
24 .193 .335 .479 .635 .812 1.02 1.292 1.670 2.327 3.009 3.234 3.530 3.958 4.718 7.554
25 .193 .335 .479 .634 .811 1.02 1.289 1.665 2.317 2.991 3.214 3.506 3.928 4.675 7.451
26 .193 .335 .479 .634 .810 1.02 1.286 1.660 2.307 2.975 3.196 3.484 3.900 4.637 7.357
27 .193 .335 .478 .633 .809 1.02 1.284 1.656 2.299 2.960 3.178 3.464 3.874 4.601 7.272
28 .193 .335 .478 .633 .808 1.02 1.281 1.652 2.291 2.947 3.163 3.445 3.851 4.568 7.193
29 .193 .335 .478 .633 .808 1.02 1.279 1.648 2.283 2.934 3.148 3.428 3.829 4.538 7.121
30 .193 .335 .478 .632 .807 1.01 1.277 1.645 2.276 2.922 3.135 3.412 3.809 4.510 7.054
35 .194 .335 .477 .631 .804 1.01 1.269 1.630 2.247 2.874 3.079 3.346 3.727 4.396 6.787
40 .194 .335 .477 .630 .802 1.01 1.263 1.620 2.226 2.839 3.038 3.298 3.667 4.313 6.595
45 .194 .335 .477 .629 .801 1.00 1.258 1.611 2.210 2.812 3.007 3.261 3.622 4.249 6.450
50 .194 .335 .477 .629 .800 1.00 1.255 1.605 2.197 2.790 2.982 3.231 3.585 4.199 6.336
55 .194 .335 .476 .628 .799 1.00 1.252 1.599 2.186 2.773 2.962 3.208 3.556 4.159 6.246
60 .194 .335 .476 .628 .798 .998 1.249 1.595 2.177 2.758 2.946 3.188 3.532 4.126 6.171
70 .194 .335 .476 .627 .796 .996 1.245 1.588 2.164 2.736 2.920 3.158 3.494 4.074 6.057
80 .194 .335 .476 .626 .795 .994 1.242 1.583 2.154 2.719 2.901 3.135 3.467 4.036 5.972
90 .194 .335 .476 .626 .795 .993 1.240 1.579 2.146 2.706 2.886 3.118 3.445 4.007 5.908
100 .194 .335 .476 .626 .794 .992 1.238 1.576 2.139 2.696 2.874 3.104 3.428 3.984 5.857
120 .194 .335 .475 .625 .793 .990 1.235 1.571 2.130 2.680 2.856 3.083 3.403 3.949 5.781
240 .195 .335 .475 .624 .791 .986 1.228 1.559 2.107 2.642 2.813 3.032 3.340 3.864 5.598
∞ .195 .335 .475 .623 .789 .982 1.222 1.547 2.084 2.605 2.770 2.983 3.279 3.782 5.422

Critical Values of the F Distribution

Tabled Values are F Statistics for the Given Probabilities and dfEFFECT = 4

dfERROR .90 .80 .70 .60 .50 .40 .30 .20 .10 .05 .04 .03 .02 .01 .001
2 .231 .405 .606 .860 1.21 1.72 2.561 4.236 9.243 19.25 24.25 32.58 49.25 99.25 999.25
3 .239 .402 .581 .793 1.06 1.43 1.985 2.956 5.343 9.117 10.75 13.25 17.69 28.71 137.10
4 .243 .403 .570 .763 1.00 1.31 1.753 2.483 4.107 6.388 7.305 8.648 10.90 15.98 53.436
5 .247 .404 .565 .747 .965 1.24 1.629 2.240 3.520 5.192 5.835 6.751 8.233 11.39 31.085
6 .249 .404 .562 .736 .942 1.20 1.551 2.092 3.181 4.534 5.038 5.744 6.859 9.148 21.924
7 .251 .405 .559 .729 .926 1.17 1.499 1.994 2.961 4.120 4.543 5.127 6.035 7.847 17.198
8 .253 .406 .558 .723 .915 1.15 1.460 1.923 2.806 3.838 4.207 4.713 5.489 7.006 14.392
9 .254 .406 .556 .719 .906 1.13 1.431 1.870 2.693 3.633 3.965 4.417 5.103 6.422 12.560
10 .255 .407 .556 .716 .899 1.12 1.408 1.829 2.605 3.478 3.783 4.195 4.816 5.994 11.283
11 .256 .407 .555 .713 .893 1.11 1.390 1.796 2.536 3.357 3.641 4.023 4.594 5.668 10.346
12 .257 .407 .554 .711 .888 1.10 1.375 1.768 2.480 3.259 3.527 3.886 4.419 5.412 9.633
13 .257 .408 .554 .709 .885 1.09 1.362 1.746 2.434 3.179 3.434 3.773 4.276 5.205 9.073
14 .258 .408 .553 .708 .881 1.09 1.352 1.727 2.395 3.112 3.356 3.680 4.158 5.035 8.622
15 .258 .408 .553 .706 .878 1.08 1.342 1.710 2.361 3.056 3.290 3.602 4.058 4.893 8.253
16 .259 .408 .553 .705 .876 1.08 1.334 1.696 2.333 3.007 3.234 3.534 3.974 4.773 7.944
17 .259 .409 .552 .704 .874 1.07 1.327 1.684 2.308 2.965 3.185 3.476 3.901 4.669 7.683
18 .260 .409 .552 .703 .872 1.07 1.321 1.673 2.286 2.928 3.142 3.425 3.837 4.579 7.459
19 .260 .409 .552 .702 .870 1.07 1.316 1.663 2.266 2.895 3.105 3.380 3.781 4.500 7.265
20 .260 .409 .552 .702 .868 1.06 1.311 1.654 2.249 2.866 3.071 3.341 3.731 4.431 7.096
21 .260 .409 .552 .701 .867 1.06 1.306 1.646 2.233 2.840 3.041 3.305 3.687 4.369 6.947
22 .261 .409 .551 .700 .866 1.06 1.302 1.639 2.219 2.817 3.014 3.273 3.647 4.313 6.814
23 .261 .409 .551 .700 .864 1.06 1.298 1.633 2.207 2.796 2.990 3.244 3.611 4.264 6.696
24 .261 .409 .551 .699 .863 1.06 1.295 1.627 2.195 2.776 2.968 3.218 3.579 4.218 6.589
25 .261 .410 .551 .699 .862 1.05 1.292 1.622 2.184 2.759 2.948 3.194 3.549 4.177 6.493
26 .261 .410 .551 .698 .861 1.05 1.289 1.617 2.174 2.743 2.929 3.173 3.522 4.140 6.406
27 .262 .410 .551 .698 .861 1.05 1.286 1.612 2.165 2.728 2.912 3.153 3.498 4.106 6.326
28 .262 .410 .551 .698 .860 1.05 1.284 1.608 2.157 2.714 2.896 3.134 3.475 4.074 6.253
29 .262 .410 .551 .697 .859 1.05 1.282 1.604 2.149 2.701 2.882 3.117 3.453 4.045 6.186
30 .262 .410 .551 .697 .858 1.05 1.280 1.600 2.142 2.690 2.868 3.101 3.434 4.018 6.125
35 .262 .410 .550 .696 .856 1.04 1.271 1.585 2.113 2.641 2.813 3.036 3.354 3.908 5.876
40 .263 .410 .550 .695 .854 1.04 1.264 1.574 2.091 2.606 2.773 2.989 3.295 3.828 5.698
45 .263 .411 .550 .694 .852 1.03 1.259 1.565 2.074 2.579 2.742 2.952 3.251 3.767 5.564
50 .263 .411 .550 .693 .851 1.03 1.255 1.558 2.061 2.557 2.717 2.923 3.215 3.720 5.459
55 .264 .411 .550 .693 .850 1.03 1.252 1.552 2.050 2.540 2.697 2.900 3.187 3.681 5.375
60 .264 .411 .550 .693 .849 1.03 1.249 1.548 2.041 2.525 2.680 2.881 3.163 3.649 5.307
70 .264 .411 .549 .692 .847 1.03 1.245 1.540 2.027 2.503 2.655 2.851 3.127 3.600 5.201
80 .264 .411 .549 .691 .846 1.02 1.242 1.535 2.016 2.486 2.636 2.828 3.100 3.563 5.123
90 .265 .411 .549 .691 .846 1.02 1.239 1.531 2.008 2.473 2.621 2.811 3.079 3.535 5.064
100 .265 .411 .549 .691 .845 1.02 1.237 1.527 2.002 2.463 2.609 2.798 3.062 3.513 5.017
120 .265 .412 .549 .690 .844 1.02 1.234 1.522 1.992 2.447 2.592 2.777 3.037 3.480 4.947
240 .265 .412 .549 .689 .842 1.02 1.227 1.510 1.968 2.409 2.549 2.727 2.976 3.398 4.778
∞ .266 .412 .549 .688 .839 1.01 1.220 1.497 1.945 2.372 2.506 2.678 2.917 3.319 4.617