The Studentized range upper quantiles q(k, df; 0.05) ------------------------------------------------------------------------------------------------------------------------------------------ df k-> 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 ------------------------------------------------------------------------------------------------------------------------------------------ 1 17.969 26.976 32.819 37.082 40.408 43.119 45.397 47.357 49.071 50.592 51.957 53.194 54.323 55.361 56.320 57.212 58.044 58.824 59.558 2 6.085 8.331 9.798 10.881 11.734 12.435 13.027 13.539 13.988 14.389 14.749 15.076 15.375 15.650 15.905 16.143 16.365 16.573 16.769 3 4.501 5.910 6.825 7.502 8.037 8.478 8.852 9.177 9.462 9.717 9.946 10.155 10.346 10.522 10.686 10.838 10.980 11.114 11.240 4 3.926 5.040 5.757 6.287 6.706 7.053 7.347 7.602 7.826 8.027 8.208 8.373 8.524 8.664 8.793 8.914 9.027 9.133 9.233 5 3.635 4.602 5.218 5.673 6.033 6.330 6.582 6.801 6.995 7.167 7.323 7.466 7.596 7.716 7.828 7.932 8.030 8.122 8.208 6 3.460 4.339 4.896 5.305 5.628 5.895 6.122 6.319 6.493 6.649 6.789 6.917 7.034 7.143 7.244 7.338 7.426 7.508 7.586 7 3.344 4.165 4.681 5.060 5.359 5.606 5.815 5.997 6.158 6.302 6.431 6.550 6.658 6.759 6.852 6.939 7.020 7.097 7.169 8 3.261 4.041 4.529 4.886 5.167 5.399 5.596 5.767 5.918 6.053 6.175 6.287 6.389 6.483 6.571 6.653 6.729 6.801 6.869 9 3.199 3.948 4.415 4.755 5.024 5.244 5.432 5.595 5.738 5.867 5.983 6.089 6.186 6.276 6.359 6.437 6.510 6.579 6.643 10 3.151 3.877 4.327 4.654 4.912 5.124 5.304 5.460 5.598 5.722 5.833 5.935 6.028 6.114 6.194 6.269 6.339 6.405 6.467 ------------------------------------------------------------------------------------------------------------------------------------------ 11 3.113 3.820 4.256 4.574 4.823 5.028 5.202 5.353 5.486 5.605 5.713 5.811 5.901 5.984 6.062 6.134 6.202 6.265 6.325 12 3.081 3.773 4.199 4.508 4.750 4.950 5.119 5.265 5.395 5.510 5.615 5.710 5.797 5.878 5.953 6.023 6.089 6.151 6.209 13 3.055 3.734 4.151 4.453 4.690 4.884 5.049 5.192 5.318 5.431 5.533 5.625 5.711 5.789 5.862 5.931 5.995 6.055 6.112 14 3.033 3.701 4.111 4.407 4.639 4.829 4.990 5.130 5.253 5.364 5.463 5.554 5.637 5.714 5.785 5.852 5.915 5.973 6.029 15 3.014 3.673 4.076 4.367 4.595 4.782 4.940 5.077 5.198 5.306 5.403 5.492 5.574 5.649 5.719 5.785 5.846 5.904 5.958 16 2.998 3.649 4.046 4.333 4.557 4.741 4.896 5.031 5.150 5.256 5.352 5.439 5.519 5.593 5.662 5.726 5.786 5.843 5.896 17 2.984 3.628 4.020 4.303 4.524 4.705 4.858 4.991 5.108 5.212 5.306 5.392 5.471 5.544 5.612 5.675 5.734 5.790 5.842 18 2.971 3.609 3.997 4.276 4.494 4.673 4.824 4.955 5.071 5.173 5.266 5.351 5.429 5.501 5.567 5.629 5.688 5.743 5.794 19 2.960 3.593 3.977 4.253 4.468 4.645 4.794 4.924 5.037 5.139 5.231 5.314 5.391 5.462 5.528 5.589 5.647 5.701 5.752 20 2.950 3.578 3.958 4.232 4.445 4.620 4.768 4.895 5.008 5.108 5.199 5.282 5.357 5.427 5.492 5.553 5.610 5.663 5.714 ------------------------------------------------------------------------------------------------------------------------------------------ df k-> 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 ------------------------------------------------------------------------------------------------------------------------------------------ 21 2.941 3.565 3.942 4.213 4.424 4.597 4.743 4.870 4.981 5.081 5.170 5.252 5.327 5.396 5.460 5.520 5.576 5.629 5.679 22 2.933 3.553 3.927 4.196 4.405 4.577 4.722 4.847 4.957 5.056 5.144 5.225 5.299 5.368 5.431 5.491 5.546 5.599 5.648 23 2.926 3.542 3.914 4.180 4.388 4.558 4.702 4.826 4.935 5.033 5.121 5.201 5.274 5.342 5.405 5.464 5.519 5.571 5.620 24 2.919 3.532 3.901 4.166 4.373 4.541 4.684 4.807 4.915 5.012 5.099 5.179 5.251 5.319 5.381 5.439 5.494 5.545 5.594 25 2.913 3.523 3.890 4.153 4.358 4.526 4.667 4.789 4.897 4.993 5.079 5.158 5.230 5.297 5.359 5.417 5.471 5.522 5.570 26 2.907 3.514 3.880 4.141 4.345 4.511 4.652 4.773 4.880 4.975 5.061 5.139 5.211 5.277 5.339 5.396 5.450 5.500 5.548 27 2.902 3.506 3.870 4.130 4.333 4.498 4.638 4.758 4.864 4.959 5.044 5.122 5.193 5.259 5.320 5.377 5.430 5.480 5.528 28 2.897 3.499 3.861 4.120 4.322 4.486 4.625 4.745 4.850 4.944 5.029 5.106 5.177 5.242 5.302 5.359 5.412 5.462 5.509 29 2.892 3.493 3.853 4.111 4.311 4.475 4.613 4.732 4.837 4.930 5.014 5.091 5.161 5.226 5.286 5.342 5.395 5.445 5.491 30 2.888 3.486 3.845 4.102 4.301 4.464 4.601 4.720 4.824 4.917 5.001 5.077 5.147 5.211 5.271 5.327 5.379 5.429 5.475 ------------------------------------------------------------------------------------------------------------------------------------------ 31 2.884 3.481 3.838 4.094 4.292 4.454 4.591 4.709 4.812 4.905 4.988 5.064 5.134 5.198 5.257 5.313 5.365 5.414 5.460 32 2.881 3.475 3.832 4.086 4.284 4.445 4.581 4.698 4.802 4.894 4.976 5.052 5.121 5.185 5.244 5.299 5.351 5.400 5.445 33 2.877 3.470 3.825 4.079 4.276 4.436 4.572 4.689 4.791 4.883 4.965 5.040 5.109 5.173 5.232 5.287 5.338 5.386 5.432 34 2.874 3.465 3.820 4.072 4.268 4.428 4.563 4.680 4.782 4.873 4.955 5.030 5.098 5.161 5.220 5.275 5.326 5.374 5.420 35 2.871 3.461 3.814 4.066 4.261 4.421 4.555 4.671 4.773 4.863 4.945 5.020 5.088 5.151 5.209 5.264 5.315 5.362 5.408 36 2.868 3.457 3.809 4.060 4.255 4.414 4.547 4.663 4.764 4.855 4.936 5.010 5.078 5.141 5.199 5.253 5.304 5.352 5.397 37 2.865 3.453 3.804 4.054 4.249 4.407 4.540 4.655 4.756 4.846 4.927 5.001 5.069 5.131 5.189 5.243 5.294 5.341 5.386 38 2.863 3.449 3.799 4.049 4.243 4.400 4.533 4.648 4.749 4.838 4.919 4.993 5.060 5.122 5.180 5.234 5.284 5.331 5.376 39 2.861 3.445 3.795 4.044 4.237 4.394 4.527 4.641 4.741 4.831 4.911 4.985 5.052 5.114 5.171 5.225 5.275 5.322 5.367 40 2.858 3.442 3.791 4.039 4.232 4.388 4.521 4.634 4.735 4.824 4.904 4.977 5.044 5.106 5.163 5.216 5.266 5.313 5.358 ------------------------------------------------------------------------------------------------------------------------------------------ 48 2.843 3.420 3.764 4.008 4.197 4.351 4.481 4.592 4.690 4.777 4.856 4.927 4.993 5.053 5.109 5.161 5.210 5.256 5.299 60 2.829 3.399 3.737 3.977 4.163 4.314 4.441 4.550 4.646 4.732 4.808 4.878 4.942 5.001 5.056 5.107 5.154 5.199 5.241 80 2.814 3.377 3.711 3.947 4.129 4.277 4.402 4.509 4.603 4.686 4.761 4.829 4.892 4.949 5.003 5.052 5.099 5.142 5.183 120 2.800 3.356 3.685 3.917 4.096 4.241 4.363 4.468 4.560 4.641 4.714 4.781 4.842 4.898 4.950 4.998 5.043 5.086 5.126 240 2.786 3.335 3.659 3.887 4.063 4.205 4.324 4.427 4.517 4.596 4.668 4.733 4.792 4.847 4.897 4.944 4.988 5.030 5.069 Inf 2.772 3.314 3.633 3.858 4.030 4.170 4.286 4.387 4.474 4.552 4.622 4.685 4.743 4.796 4.845 4.891 4.934 4.974 5.012 ------------------------------------------------------------------------------------------------------------------------------------------