Studentized Range Upper Quantiles - Stata
Studentized Range Upper Quantiles - Stata
Studentized Range Upper Quantiles - Stata
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<strong>Studentized</strong> <strong>Range</strong> 0.975 <strong>Quantiles</strong>, q 0.975 (r, ν)<br />
Number of variates (r)<br />
ν 2 3 4 5 6 7 8 9 10 11 12 13 ν<br />
1 35.99 54.00 65.69 74.22 80.87 86.29 90.85 94.77 98.20 101.3 104.0 106.5 1<br />
2 8.776 11.94 14.02 15.54 16.75 17.74 18.58 19.31 19.95 20.52 21.03 21.49 2<br />
3 5.907 7.661 8.808 9.659 10.33 10.89 11.36 11.77 12.14 12.46 12.75 13.01 3<br />
4 4.943 6.244 7.088 7.715 8.213 8.625 8.975 9.279 9.548 9.788 10.00 10.20 4<br />
5 4.474 5.558 6.257 6.775 7.186 7.526 7.816 8.068 8.291 8.490 8.670 8.834 5<br />
6 4.198 5.158 5.772 6.226 6.586 6.884 7.138 7.359 7.554 7.729 7.887 8.031 6<br />
7 4.018 4.897 5.455 5.867 6.194 6.464 6.694 6.894 7.071 7.230 7.373 7.504 7<br />
8 3.891 4.714 5.233 5.616 5.919 6.169 6.382 6.567 6.731 6.878 7.011 7.132 8<br />
9 3.797 4.578 5.069 5.430 5.715 5.950 6.151 6.325 6.479 6.617 6.742 6.856 9<br />
10 3.725 4.474 4.943 5.286 5.558 5.782 5.972 6.138 6.284 6.415 6.534 6.642 10<br />
11 3.667 4.391 4.843 5.173 5.433 5.648 5.830 5.989 6.130 6.255 6.369 6.473 11<br />
12 3.620 4.324 4.761 5.080 5.332 5.539 5.715 5.868 6.004 6.125 6.235 6.335 12<br />
13 3.582 4.269 4.694 5.004 5.248 5.449 5.620 5.768 5.899 6.017 6.123 6.220 13<br />
14 3.549 4.222 4.638 4.940 5.178 5.373 5.540 5.684 5.812 5.926 6.029 6.123 14<br />
15 3.521 4.182 4.589 4.885 5.117 5.309 5.471 5.612 5.736 5.848 5.948 6.040 15<br />
16 3.497 4.148 4.548 4.838 5.065 5.253 5.412 5.550 5.671 5.780 5.879 5.969 16<br />
17 3.476 4.118 4.511 4.797 5.020 5.204 5.360 5.495 5.615 5.722 5.818 5.906 17<br />
18 3.458 4.091 4.479 4.760 4.980 5.161 5.315 5.448 5.565 5.670 5.765 5.851 18<br />
19 3.441 4.068 4.451 4.728 4.945 5.123 5.274 5.405 5.521 5.624 5.717 5.803 19<br />
20 3.427 4.047 4.426 4.699 4.914 5.089 5.238 5.367 5.481 5.583 5.675 5.759 20<br />
24 3.381 3.982 4.347 4.610 4.816 4.984 5.126 5.250 5.358 5.455 5.543 5.623 24<br />
30 3.337 3.919 4.271 4.523 4.720 4.881 5.017 5.134 5.238 5.330 5.414 5.490 30<br />
40 3.294 3.858 4.196 4.439 4.627 4.780 4.910 5.022 5.120 5.208 5.287 5.360 40<br />
60 3.251 3.798 4.124 4.356 4.536 4.682 4.806 4.912 5.006 5.089 5.164 5.232 60<br />
120 3.210 3.739 4.053 4.275 4.447 4.587 4.704 4.805 4.894 4.972 5.043 5.107 120<br />
∞ 3.170 3.682 3.984 4.197 4.361 4.494 4.605 4.700 4.784 4.858 4.925 4.985 ∞<br />
Number of variates (r)<br />
ν 14 15 16 17 18 19 20 30 40 60 80 100 ν<br />
1 108.8 110.8 112.7 114.5 116.2 117.7 119.2 130.4 137.9 148.1 154.9 160.0 1<br />
2 21.91 22.30 22.67 23.01 23.32 23.62 23.89 26.03 27.47 29.42 30.74 31.74 2<br />
3 13.25 13.47 13.68 13.87 14.05 14.22 14.38 15.62 16.46 17.58 18.37 18.95 3<br />
4 10.38 10.55 10.71 10.85 10.99 11.11 11.23 12.16 12.78 13.65 14.23 14.68 4<br />
5 8.984 9.124 9.253 9.373 9.486 9.592 9.693 10.47 11.00 11.72 12.21 12.59 5<br />
6 8.163 8.285 8.399 8.505 8.605 8.698 8.787 9.469 9.937 10.57 11.01 11.34 6<br />
7 7.624 7.735 7.838 7.935 8.025 8.110 8.191 8.812 9.239 9.822 10.22 10.53 7<br />
8 7.244 7.347 7.442 7.532 7.616 7.694 7.769 8.346 8.743 9.286 9.660 9.944 8<br />
9 6.961 7.057 7.148 7.232 7.311 7.385 7.455 7.999 8.373 8.885 9.238 9.506 9<br />
10 6.742 6.834 6.920 7.000 7.075 7.145 7.212 7.729 8.085 8.574 8.910 9.166 10<br />
11 6.568 6.656 6.738 6.815 6.887 6.955 7.018 7.514 7.856 8.324 8.648 8.894 11<br />
12 6.426 6.511 6.591 6.664 6.734 6.799 6.860 7.338 7.668 8.120 8.433 8.670 12<br />
13 6.309 6.391 6.468 6.539 6.606 6.670 6.729 7.192 7.511 7.950 8.253 8.484 13<br />
14 6.210 6.290 6.364 6.434 6.499 6.560 6.618 7.068 7.379 7.806 8.100 8.325 14<br />
15 6.125 6.205 6.275 6.343 6.407 6.467 6.523 6.962 7.265 7.682 7.969 8.189 15<br />
16 6.051 6.128 6.199 6.265 6.327 6.386 6.441 6.870 7.167 7.574 7.856 8.070 16<br />
17 5.987 6.062 6.132 6.197 6.258 6.315 6.369 6.790 7.080 7.479 7.756 7.966 17<br />
18 5.931 6.004 6.073 6.137 6.196 6.253 6.306 6.719 7.004 7.396 7.667 7.874 18<br />
19 5.881 5.953 6.020 6.083 6.142 6.197 6.250 6.656 6.936 7.322 7.589 7.792 19<br />
20 5.836 5.907 5.974 6.035 6.093 6.148 6.199 6.599 6.876 7.255 7.518 7.718 20<br />
24 5.696 5.764 5.827 5.886 5.941 5.993 6.042 6.422 6.685 7.046 7.295 7.486 24<br />
30 5.560 5.624 5.684 5.740 5.792 5.841 5.888 6.248 6.497 6.838 7.075 7.255 30<br />
40 5.426 5.487 5.543 5.596 5.646 5.692 5.736 6.077 6.311 6.633 6.855 7.025 40<br />
60 5.295 5.352 5.406 5.456 5.502 5.546 5.588 5.908 6.127 6.428 6.636 6.795 60<br />
120 5.166 5.221 5.271 5.318 5.362 5.403 5.442 5.741 5.946 6.225 6.418 6.564 120<br />
∞ 5.041 5.092 5.139 5.183 5.224 5.262 5.299 5.577 5.766 6.023 6.199 6.333 ∞
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