_ Upper quantiles B(k, nu; 0.10) for Bartholomew's contrast tests ------------------------------------------------------------------------------------------------------------------------------------------ nu k-> 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 ------------------------------------------------------------------------------------------------------------------------------------------ 1 3.078 4.769 5.875 6.686 7.320 7.837 8.271 8.645 8.971 9.261 9.521 9.756 9.970 10.167 10.349 10.518 10.676 10.823 10.962 2 1.886 2.581 3.001 3.299 3.529 3.714 3.870 4.003 4.119 4.222 4.314 4.397 4.473 4.543 4.608 4.668 4.723 4.776 4.825 3 1.638 2.167 2.477 2.695 2.861 2.995 3.107 3.203 3.287 3.360 3.426 3.486 3.541 3.591 3.637 3.680 3.720 3.757 3.792 4 1.533 1.997 2.266 2.453 2.595 2.710 2.805 2.887 2.958 3.021 3.077 3.127 3.174 3.216 3.255 3.291 3.325 3.357 3.387 5 1.476 1.906 2.153 2.324 2.454 2.558 2.645 2.719 2.784 2.841 2.892 2.938 2.979 3.018 3.053 3.086 3.117 3.145 3.172 6 1.440 1.849 2.083 2.244 2.367 2.465 2.546 2.616 2.676 2.730 2.777 2.820 2.860 2.896 2.929 2.960 2.988 3.015 3.040 7 1.415 1.811 2.035 2.190 2.307 2.401 2.479 2.546 2.603 2.654 2.700 2.741 2.778 2.813 2.844 2.874 2.901 2.927 2.951 8 1.397 1.782 2.000 2.150 2.264 2.355 2.431 2.495 2.551 2.600 2.644 2.684 2.720 2.753 2.784 2.812 2.838 2.863 2.886 9 1.383 1.761 1.974 2.121 2.232 2.320 2.394 2.457 2.511 2.559 2.602 2.640 2.676 2.708 2.738 2.765 2.791 2.815 2.837 10 1.372 1.744 1.954 2.097 2.206 2.293 2.365 2.427 2.480 2.527 2.569 2.607 2.641 2.672 2.702 2.729 2.754 2.777 2.799 ------------------------------------------------------------------------------------------------------------------------------------------ 11 1.363 1.731 1.937 2.079 2.186 2.271 2.342 2.402 2.455 2.501 2.542 2.579 2.613 2.644 2.673 2.699 2.724 2.747 2.769 12 1.356 1.720 1.923 2.063 2.169 2.253 2.323 2.383 2.434 2.480 2.520 2.557 2.590 2.621 2.649 2.675 2.699 2.722 2.743 13 1.350 1.711 1.912 2.051 2.155 2.238 2.307 2.366 2.417 2.462 2.502 2.538 2.571 2.601 2.629 2.655 2.679 2.701 2.722 14 1.345 1.703 1.903 2.040 2.143 2.226 2.294 2.352 2.403 2.447 2.487 2.523 2.555 2.585 2.612 2.638 2.662 2.684 2.705 15 1.341 1.696 1.894 2.030 2.133 2.215 2.283 2.340 2.390 2.434 2.474 2.509 2.541 2.571 2.598 2.623 2.647 2.669 2.689 16 1.337 1.690 1.887 2.022 2.124 2.205 2.273 2.330 2.379 2.423 2.462 2.497 2.529 2.558 2.585 2.611 2.634 2.656 2.676 17 1.333 1.685 1.881 2.015 2.116 2.197 2.264 2.321 2.370 2.413 2.452 2.487 2.519 2.548 2.575 2.599 2.622 2.644 2.664 18 1.330 1.680 1.875 2.009 2.109 2.190 2.256 2.312 2.361 2.405 2.443 2.478 2.509 2.538 2.565 2.590 2.612 2.634 2.654 19 1.328 1.676 1.870 2.003 2.103 2.183 2.249 2.305 2.354 2.397 2.435 2.470 2.501 2.530 2.556 2.581 2.604 2.625 2.645 20 1.325 1.673 1.866 1.998 2.098 2.177 2.243 2.299 2.347 2.390 2.428 2.462 2.494 2.522 2.548 2.573 2.596 2.617 2.637 ------------------------------------------------------------------------------------------------------------------------------------------ nu k-> 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 ------------------------------------------------------------------------------------------------------------------------------------------ 21 1.323 1.669 1.862 1.994 2.093 2.172 2.237 2.293 2.341 2.384 2.422 2.456 2.487 2.515 2.542 2.566 2.588 2.610 2.629 22 1.321 1.666 1.858 1.990 2.088 2.167 2.232 2.288 2.336 2.378 2.416 2.450 2.481 2.509 2.535 2.559 2.582 2.603 2.623 23 1.319 1.664 1.855 1.986 2.084 2.163 2.228 2.283 2.331 2.373 2.411 2.445 2.475 2.504 2.530 2.554 2.576 2.597 2.617 24 1.318 1.661 1.852 1.982 2.081 2.159 2.224 2.279 2.326 2.368 2.406 2.440 2.470 2.498 2.524 2.548 2.571 2.592 2.611 25 1.316 1.659 1.849 1.979 2.077 2.155 2.220 2.275 2.322 2.364 2.401 2.435 2.466 2.494 2.520 2.543 2.566 2.587 2.606 26 1.315 1.657 1.847 1.976 2.074 2.152 2.216 2.271 2.318 2.360 2.397 2.431 2.461 2.489 2.515 2.539 2.561 2.582 2.601 27 1.314 1.655 1.844 1.974 2.071 2.149 2.213 2.268 2.315 2.356 2.394 2.427 2.458 2.485 2.511 2.535 2.557 2.578 2.597 28 1.313 1.653 1.842 1.971 2.069 2.146 2.210 2.264 2.312 2.353 2.390 2.424 2.454 2.482 2.507 2.531 2.553 2.574 2.593 29 1.311 1.651 1.840 1.969 2.066 2.143 2.207 2.261 2.309 2.350 2.387 2.420 2.450 2.478 2.504 2.527 2.549 2.570 2.589 30 1.310 1.650 1.838 1.967 2.064 2.141 2.205 2.259 2.306 2.347 2.384 2.417 2.447 2.475 2.500 2.524 2.546 2.567 2.586 ------------------------------------------------------------------------------------------------------------------------------------------ 31 1.309 1.648 1.836 1.965 2.062 2.139 2.202 2.256 2.303 2.344 2.381 2.414 2.444 2.472 2.497 2.521 2.543 2.563 2.583 32 1.309 1.647 1.835 1.963 2.060 2.136 2.200 2.254 2.301 2.342 2.379 2.412 2.442 2.469 2.495 2.518 2.540 2.560 2.580 33 1.308 1.646 1.833 1.961 2.058 2.134 2.198 2.252 2.298 2.339 2.376 2.409 2.439 2.467 2.492 2.515 2.537 2.558 2.577 34 1.307 1.645 1.832 1.960 2.056 2.132 2.196 2.249 2.296 2.337 2.374 2.407 2.437 2.464 2.489 2.513 2.535 2.555 2.574 35 1.306 1.643 1.830 1.958 2.054 2.131 2.194 2.248 2.294 2.335 2.372 2.404 2.434 2.462 2.487 2.510 2.532 2.552 2.572 36 1.306 1.642 1.829 1.957 2.053 2.129 2.192 2.246 2.292 2.333 2.370 2.402 2.432 2.460 2.485 2.508 2.530 2.550 2.569 37 1.305 1.641 1.828 1.955 2.051 2.127 2.190 2.244 2.290 2.331 2.368 2.400 2.430 2.458 2.483 2.506 2.528 2.548 2.567 38 1.304 1.640 1.827 1.954 2.050 2.126 2.189 2.242 2.289 2.329 2.366 2.399 2.428 2.456 2.481 2.504 2.526 2.546 2.565 39 1.304 1.640 1.826 1.953 2.048 2.124 2.187 2.241 2.287 2.328 2.364 2.397 2.426 2.454 2.479 2.502 2.524 2.544 2.563 40 1.303 1.639 1.825 1.952 2.047 2.123 2.186 2.239 2.285 2.326 2.362 2.395 2.425 2.452 2.477 2.500 2.522 2.542 2.561 ------------------------------------------------------------------------------------------------------------------------------------------ 48 1.299 1.633 1.818 1.944 2.039 2.114 2.177 2.229 2.275 2.316 2.352 2.384 2.414 2.441 2.465 2.488 2.510 2.530 2.549 60 1.296 1.628 1.811 1.936 2.031 2.105 2.167 2.220 2.265 2.305 2.341 2.373 2.402 2.429 2.454 2.477 2.498 2.518 2.536 80 1.292 1.622 1.805 1.929 2.022 2.097 2.158 2.210 2.255 2.295 2.331 2.362 2.391 2.418 2.442 2.465 2.486 2.506 2.524 120 1.289 1.617 1.798 1.922 2.014 2.088 2.149 2.201 2.246 2.285 2.320 2.352 2.381 2.407 2.431 2.453 2.474 2.494 2.512 240 1.285 1.612 1.792 1.914 2.006 2.080 2.140 2.191 2.236 2.275 2.310 2.341 2.370 2.396 2.420 2.442 2.463 2.482 2.500 Inf 1.282 1.606 1.785 1.907 1.998 2.071 2.131 2.182 2.226 2.265 2.300 2.331 2.359 2.385 2.409 2.431 2.451 2.470 2.488 ------------------------------------------------------------------------------------------------------------------------------------------
_ Upper quantiles B(k, nu; 0.05) for Bartholomew's contrast tests ------------------------------------------------------------------------------------------------------------------------------------------ nu k-> 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 ------------------------------------------------------------------------------------------------------------------------------------------ 1 6.314 9.659 11.860 13.476 14.740 15.772 16.640 17.386 18.038 18.617 19.136 19.606 20.035 20.428 20.792 21.130 21.445 21.741 22.018 2 2.920 3.870 4.453 4.869 5.191 5.452 5.670 5.858 6.021 6.166 6.296 6.414 6.521 6.620 6.711 6.796 6.875 6.949 7.019 3 2.353 2.991 3.373 3.642 3.850 4.017 4.157 4.277 4.382 4.474 4.557 4.632 4.701 4.764 4.822 4.876 4.926 4.974 5.018 4 2.132 2.659 2.969 3.187 3.354 3.489 3.602 3.698 3.782 3.856 3.923 3.983 4.038 4.088 4.135 4.178 4.218 4.256 4.291 5 2.015 2.486 2.761 2.954 3.101 3.220 3.318 3.403 3.476 3.541 3.600 3.652 3.700 3.744 3.785 3.823 3.858 3.891 3.922 6 1.943 2.381 2.635 2.813 2.948 3.057 3.147 3.225 3.292 3.352 3.405 3.453 3.497 3.538 3.575 3.609 3.642 3.672 3.700 7 1.895 2.310 2.551 2.718 2.846 2.948 3.033 3.106 3.169 3.225 3.275 3.321 3.362 3.400 3.435 3.467 3.497 3.525 3.552 8 1.860 2.260 2.490 2.650 2.772 2.870 2.952 3.021 3.082 3.135 3.183 3.226 3.265 3.301 3.335 3.366 3.394 3.421 3.447 9 1.833 2.222 2.445 2.600 2.718 2.812 2.891 2.958 3.016 3.068 3.114 3.155 3.193 3.228 3.260 3.290 3.317 3.343 3.368 10 1.812 2.192 2.410 2.560 2.675 2.767 2.843 2.908 2.965 3.015 3.060 3.100 3.137 3.171 3.202 3.231 3.257 3.283 3.306 ------------------------------------------------------------------------------------------------------------------------------------------ 11 1.796 2.168 2.381 2.529 2.641 2.731 2.805 2.869 2.924 2.973 3.017 3.056 3.092 3.125 3.155 3.183 3.210 3.234 3.257 12 1.782 2.149 2.358 2.503 2.613 2.701 2.774 2.837 2.891 2.939 2.982 3.020 3.055 3.088 3.117 3.145 3.171 3.195 3.217 13 1.771 2.133 2.339 2.482 2.590 2.677 2.749 2.810 2.863 2.910 2.952 2.990 3.025 3.057 3.086 3.113 3.138 3.162 3.184 14 1.761 2.119 2.323 2.464 2.570 2.656 2.727 2.787 2.840 2.886 2.928 2.965 2.999 3.030 3.059 3.086 3.111 3.134 3.156 15 1.753 2.107 2.309 2.448 2.554 2.638 2.708 2.768 2.820 2.866 2.907 2.944 2.977 3.008 3.036 3.063 3.087 3.110 3.132 16 1.746 2.097 2.297 2.435 2.539 2.623 2.692 2.751 2.803 2.848 2.888 2.925 2.958 2.988 3.017 3.043 3.067 3.090 3.111 17 1.740 2.088 2.286 2.423 2.526 2.609 2.678 2.736 2.787 2.832 2.872 2.908 2.941 2.971 2.999 3.025 3.049 3.071 3.093 18 1.734 2.080 2.277 2.412 2.515 2.597 2.665 2.724 2.774 2.818 2.858 2.894 2.927 2.956 2.984 3.010 3.033 3.056 3.076 19 1.729 2.073 2.268 2.403 2.505 2.587 2.654 2.712 2.762 2.806 2.846 2.881 2.913 2.943 2.970 2.996 3.019 3.041 3.062 20 1.725 2.067 2.261 2.395 2.496 2.577 2.645 2.702 2.751 2.795 2.834 2.870 2.902 2.931 2.958 2.984 3.007 3.029 3.049 ------------------------------------------------------------------------------------------------------------------------------------------ nu k-> 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 ------------------------------------------------------------------------------------------------------------------------------------------ 21 1.721 2.061 2.254 2.387 2.488 2.569 2.636 2.692 2.742 2.785 2.824 2.859 2.891 2.921 2.947 2.972 2.996 3.018 3.038 22 1.717 2.056 2.248 2.381 2.481 2.561 2.628 2.684 2.733 2.777 2.815 2.850 2.882 2.911 2.938 2.962 2.986 3.007 3.028 23 1.714 2.052 2.243 2.375 2.474 2.554 2.620 2.677 2.725 2.768 2.807 2.842 2.873 2.902 2.929 2.953 2.976 2.998 3.018 24 1.711 2.047 2.238 2.369 2.468 2.548 2.614 2.670 2.718 2.761 2.799 2.834 2.865 2.894 2.921 2.945 2.968 2.989 3.010 25 1.708 2.044 2.233 2.364 2.463 2.542 2.607 2.663 2.712 2.754 2.792 2.827 2.858 2.887 2.913 2.938 2.960 2.982 3.002 26 1.706 2.040 2.229 2.359 2.458 2.537 2.602 2.657 2.706 2.748 2.786 2.820 2.851 2.880 2.906 2.931 2.953 2.974 2.994 27 1.703 2.037 2.225 2.355 2.453 2.532 2.597 2.652 2.700 2.742 2.780 2.814 2.845 2.874 2.900 2.924 2.947 2.968 2.988 28 1.701 2.034 2.222 2.351 2.449 2.527 2.592 2.647 2.695 2.737 2.775 2.809 2.840 2.868 2.894 2.918 2.941 2.962 2.981 29 1.699 2.031 2.218 2.347 2.445 2.523 2.587 2.642 2.690 2.732 2.770 2.803 2.834 2.862 2.888 2.913 2.935 2.956 2.976 30 1.697 2.028 2.215 2.344 2.441 2.519 2.583 2.638 2.686 2.728 2.765 2.799 2.829 2.857 2.883 2.907 2.930 2.951 2.970 ------------------------------------------------------------------------------------------------------------------------------------------ 31 1.696 2.026 2.212 2.341 2.438 2.515 2.579 2.634 2.681 2.723 2.761 2.794 2.825 2.853 2.879 2.903 2.925 2.946 2.965 32 1.694 2.023 2.209 2.338 2.434 2.512 2.576 2.630 2.678 2.719 2.756 2.790 2.821 2.848 2.874 2.898 2.920 2.941 2.961 33 1.692 2.021 2.207 2.335 2.431 2.508 2.572 2.627 2.674 2.715 2.753 2.786 2.817 2.844 2.870 2.894 2.916 2.937 2.956 34 1.691 2.019 2.204 2.332 2.428 2.505 2.569 2.623 2.670 2.712 2.749 2.782 2.813 2.841 2.866 2.890 2.912 2.933 2.952 35 1.690 2.017 2.202 2.329 2.426 2.502 2.566 2.620 2.667 2.709 2.746 2.779 2.809 2.837 2.863 2.886 2.908 2.929 2.948 36 1.688 2.016 2.200 2.327 2.423 2.500 2.563 2.617 2.664 2.706 2.742 2.776 2.806 2.834 2.859 2.883 2.905 2.925 2.945 37 1.687 2.014 2.198 2.325 2.421 2.497 2.561 2.615 2.661 2.703 2.739 2.773 2.803 2.830 2.856 2.879 2.901 2.922 2.941 38 1.686 2.012 2.196 2.323 2.418 2.495 2.558 2.612 2.659 2.700 2.736 2.770 2.800 2.827 2.853 2.876 2.898 2.919 2.938 39 1.685 2.011 2.194 2.321 2.416 2.493 2.556 2.609 2.656 2.697 2.734 2.767 2.797 2.824 2.850 2.873 2.895 2.916 2.935 40 1.684 2.009 2.193 2.319 2.414 2.490 2.553 2.607 2.654 2.695 2.731 2.764 2.794 2.822 2.847 2.870 2.892 2.913 2.932 ------------------------------------------------------------------------------------------------------------------------------------------ 48 1.677 2.000 2.182 2.307 2.401 2.476 2.539 2.592 2.638 2.678 2.715 2.747 2.777 2.804 2.829 2.852 2.874 2.894 2.913 60 1.671 1.991 2.171 2.294 2.388 2.462 2.524 2.577 2.622 2.662 2.698 2.730 2.760 2.787 2.811 2.834 2.856 2.876 2.894 80 1.664 1.982 2.160 2.282 2.375 2.449 2.510 2.562 2.607 2.646 2.682 2.714 2.743 2.769 2.794 2.816 2.837 2.857 2.876 120 1.658 1.972 2.149 2.271 2.362 2.435 2.496 2.547 2.591 2.631 2.666 2.697 2.726 2.752 2.776 2.799 2.820 2.839 2.857 240 1.651 1.963 2.139 2.259 2.349 2.422 2.481 2.532 2.576 2.615 2.650 2.681 2.709 2.735 2.759 2.781 2.802 2.821 2.839 Inf 1.645 1.955 2.128 2.247 2.337 2.408 2.467 2.518 2.561 2.600 2.634 2.665 2.693 2.718 2.742 2.764 2.784 2.803 2.821 ------------------------------------------------------------------------------------------------------------------------------------------
_ Upper quantiles B(k, nu; 0.01) for Bartholomew's contrast tests ------------------------------------------------------------------------------------------------------------------------------------------ nu k-> 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 ------------------------------------------------------------------------------------------------------------------------------------------ 1 31.821 48.490 59.476 67.546 73.862 79.018 83.354 87.083 90.344 93.237 95.832 98.181100.324102.293104.112105.801107.377108.853110.240 2 6.965 9.035 10.319 11.242 11.956 12.536 13.022 13.440 13.805 14.129 14.419 14.682 14.922 15.142 15.346 15.536 15.712 15.878 16.034 3 4.541 5.585 6.220 6.674 7.024 7.307 7.545 7.749 7.927 8.085 8.227 8.355 8.472 8.580 8.679 8.772 8.858 8.939 9.015 4 3.747 4.493 4.942 5.262 5.508 5.707 5.873 6.016 6.141 6.252 6.351 6.441 6.523 6.598 6.668 6.732 6.793 6.849 6.902 5 3.365 3.976 4.342 4.601 4.801 4.962 5.097 5.213 5.313 5.403 5.483 5.555 5.621 5.682 5.738 5.791 5.839 5.885 5.928 6 3.143 3.679 3.998 4.224 4.398 4.538 4.655 4.755 4.843 4.920 4.990 5.053 5.110 5.162 5.211 5.256 5.298 5.338 5.375 7 2.998 3.487 3.777 3.981 4.139 4.265 4.371 4.462 4.541 4.611 4.674 4.730 4.782 4.830 4.874 4.914 4.952 4.988 5.021 8 2.896 3.353 3.623 3.813 3.959 4.076 4.174 4.258 4.332 4.397 4.455 4.507 4.555 4.599 4.640 4.677 4.713 4.745 4.776 9 2.821 3.254 3.509 3.689 3.826 3.937 4.030 4.109 4.178 4.239 4.294 4.344 4.389 4.430 4.468 4.504 4.537 4.568 4.597 10 2.764 3.178 3.422 3.594 3.726 3.831 3.920 3.995 4.061 4.119 4.171 4.219 4.262 4.301 4.337 4.371 4.403 4.432 4.460 ------------------------------------------------------------------------------------------------------------------------------------------ 11 2.718 3.119 3.354 3.519 3.646 3.748 3.833 3.905 3.969 4.025 4.075 4.120 4.161 4.199 4.234 4.267 4.297 4.326 4.352 12 2.681 3.070 3.299 3.459 3.582 3.680 3.763 3.833 3.894 3.948 3.997 4.041 4.081 4.117 4.151 4.183 4.212 4.239 4.265 13 2.650 3.030 3.253 3.409 3.528 3.624 3.705 3.773 3.833 3.885 3.933 3.975 4.014 4.050 4.083 4.113 4.142 4.168 4.193 14 2.624 2.997 3.214 3.367 3.484 3.578 3.656 3.723 3.781 3.833 3.879 3.920 3.958 3.993 4.025 4.055 4.083 4.109 4.133 15 2.602 2.968 3.182 3.331 3.446 3.538 3.615 3.680 3.737 3.788 3.833 3.873 3.911 3.945 3.976 4.005 4.032 4.058 4.082 16 2.583 2.943 3.154 3.301 3.413 3.504 3.579 3.643 3.699 3.749 3.793 3.833 3.870 3.903 3.934 3.963 3.989 4.014 4.038 17 2.567 2.922 3.129 3.274 3.385 3.474 3.548 3.611 3.667 3.715 3.759 3.798 3.834 3.867 3.897 3.926 3.952 3.976 3.999 18 2.552 2.903 3.108 3.251 3.360 3.448 3.521 3.583 3.638 3.686 3.729 3.768 3.803 3.835 3.865 3.893 3.919 3.943 3.966 19 2.539 2.886 3.088 3.230 3.338 3.425 3.497 3.559 3.612 3.660 3.702 3.740 3.775 3.807 3.837 3.864 3.890 3.914 3.936 20 2.528 2.871 3.071 3.211 3.318 3.404 3.475 3.536 3.589 3.636 3.678 3.716 3.751 3.782 3.811 3.839 3.864 3.887 3.910 ------------------------------------------------------------------------------------------------------------------------------------------ nu k-> 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 ------------------------------------------------------------------------------------------------------------------------------------------ 21 2.518 2.858 3.056 3.195 3.301 3.386 3.456 3.517 3.569 3.615 3.657 3.694 3.729 3.760 3.789 3.816 3.841 3.864 3.886 22 2.508 2.846 3.043 3.180 3.285 3.369 3.439 3.499 3.551 3.597 3.638 3.675 3.709 3.740 3.768 3.795 3.820 3.843 3.864 23 2.500 2.835 3.030 3.166 3.270 3.354 3.423 3.482 3.534 3.580 3.620 3.657 3.691 3.721 3.750 3.776 3.801 3.823 3.845 24 2.492 2.825 3.019 3.154 3.257 3.340 3.409 3.468 3.519 3.564 3.605 3.641 3.674 3.705 3.733 3.759 3.783 3.806 3.827 25 2.485 2.816 3.008 3.143 3.245 3.327 3.396 3.454 3.505 3.550 3.590 3.626 3.659 3.690 3.717 3.743 3.767 3.790 3.811 26 2.479 2.808 2.999 3.132 3.234 3.316 3.384 3.442 3.492 3.537 3.577 3.613 3.645 3.676 3.703 3.729 3.753 3.775 3.796 27 2.473 2.800 2.990 3.123 3.224 3.305 3.373 3.430 3.481 3.525 3.565 3.600 3.633 3.663 3.690 3.716 3.740 3.762 3.783 28 2.467 2.793 2.982 3.114 3.215 3.295 3.363 3.420 3.470 3.514 3.553 3.589 3.621 3.651 3.678 3.704 3.727 3.749 3.770 29 2.462 2.786 2.974 3.106 3.206 3.286 3.353 3.410 3.460 3.504 3.543 3.578 3.610 3.640 3.667 3.692 3.716 3.738 3.758 30 2.457 2.780 2.967 3.098 3.198 3.278 3.344 3.401 3.450 3.494 3.533 3.568 3.600 3.630 3.657 3.682 3.705 3.727 3.748 ------------------------------------------------------------------------------------------------------------------------------------------ 31 2.453 2.774 2.961 3.091 3.190 3.270 3.336 3.393 3.442 3.485 3.524 3.559 3.591 3.620 3.647 3.672 3.695 3.717 3.737 32 2.449 2.769 2.955 3.085 3.183 3.263 3.329 3.385 3.434 3.477 3.515 3.550 3.582 3.611 3.638 3.663 3.686 3.708 3.728 33 2.445 2.764 2.949 3.078 3.177 3.256 3.321 3.377 3.426 3.469 3.508 3.542 3.574 3.603 3.629 3.654 3.677 3.699 3.719 34 2.441 2.759 2.944 3.073 3.171 3.249 3.315 3.370 3.419 3.462 3.500 3.535 3.566 3.595 3.622 3.646 3.669 3.691 3.711 35 2.438 2.755 2.939 3.067 3.165 3.243 3.308 3.364 3.412 3.455 3.493 3.527 3.559 3.588 3.614 3.639 3.662 3.683 3.703 36 2.434 2.751 2.934 3.062 3.159 3.237 3.302 3.358 3.406 3.448 3.486 3.521 3.552 3.581 3.607 3.632 3.654 3.676 3.696 37 2.431 2.747 2.930 3.057 3.154 3.232 3.297 3.352 3.400 3.442 3.480 3.514 3.546 3.574 3.600 3.625 3.648 3.669 3.689 38 2.429 2.743 2.925 3.052 3.149 3.227 3.291 3.347 3.394 3.437 3.474 3.508 3.539 3.568 3.594 3.618 3.641 3.662 3.682 39 2.426 2.740 2.921 3.048 3.145 3.222 3.286 3.341 3.389 3.431 3.469 3.503 3.534 3.562 3.588 3.612 3.635 3.656 3.676 40 2.423 2.736 2.918 3.044 3.140 3.218 3.282 3.336 3.384 3.426 3.464 3.497 3.528 3.557 3.583 3.607 3.629 3.650 3.670 ------------------------------------------------------------------------------------------------------------------------------------------ 48 2.407 2.715 2.893 3.018 3.112 3.188 3.251 3.305 3.352 3.393 3.430 3.463 3.493 3.521 3.546 3.570 3.592 3.613 3.632 60 2.390 2.694 2.869 2.991 3.084 3.159 3.221 3.274 3.320 3.360 3.396 3.429 3.459 3.486 3.511 3.534 3.556 3.576 3.595 80 2.374 2.673 2.846 2.966 3.057 3.130 3.191 3.243 3.288 3.328 3.363 3.395 3.424 3.451 3.476 3.499 3.520 3.540 3.558 120 2.358 2.652 2.822 2.940 3.030 3.102 3.162 3.213 3.257 3.296 3.331 3.362 3.391 3.417 3.441 3.464 3.484 3.504 3.522 240 2.342 2.632 2.799 2.915 3.004 3.074 3.133 3.183 3.226 3.265 3.299 3.330 3.358 3.383 3.407 3.429 3.450 3.469 3.487 Inf 2.326 2.612 2.776 2.891 2.977 3.047 3.105 3.154 3.196 3.234 3.267 3.298 3.325 3.350 3.374 3.395 3.415 3.434 3.452 ------------------------------------------------------------------------------------------------------------------------------------------