Tabled Values are HSD 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 | 4.303 | 9.925 | 2 | 5.891 | 13.449 | 2 | 6.928 | 15.764 | 2 | 7.694 | 17.478 | |||
3 | 3.182 | 5.841 | 3 | 4.179 | 7.508 | 3 | 4.826 | 8.605 | 3 | 5.304 | 9.422 | |||
4 | 2.776 | 4.604 | 4 | 3.564 | 5.742 | 4 | 4.071 | 6.486 | 4 | 4.446 | 7.042 | |||
5 | 2.571 | 4.032 | 5 | 3.254 | 4.933 | 5 | 3.690 | 5.518 | 5 | 4.012 | 5.955 | |||
6 | 2.447 | 3.707 | 6 | 3.068 | 4.476 | 6 | 3.462 | 4.973 | 6 | 3.751 | 5.343 | |||
7 | 2.365 | 3.499 | 7 | 2.945 | 4.186 | 7 | 3.310 | 4.626 | 7 | 3.578 | 4.953 | |||
8 | 2.306 | 3.355 | 8 | 2.857 | 3.985 | 8 | 3.202 | 4.387 | 8 | 3.455 | 4.684 | |||
9 | 2.262 | 3.250 | 9 | 2.792 | 3.838 | 9 | 3.122 | 4.212 | 9 | 3.363 | 4.488 | |||
10 | 2.228 | 3.169 | 10 | 2.741 | 3.727 | 10 | 3.059 | 4.079 | 10 | 3.291 | 4.339 | |||
11 | 2.201 | 3.106 | 11 | 2.701 | 3.639 | 11 | 3.010 | 3.974 | 11 | 3.234 | 4.222 | |||
12 | 2.179 | 3.055 | 12 | 2.668 | 3.568 | 12 | 2.969 | 3.890 | 12 | 3.187 | 4.127 | |||
13 | 2.160 | 3.012 | 13 | 2.640 | 3.510 | 13 | 2.935 | 3.821 | 13 | 3.149 | 4.049 | |||
14 | 2.145 | 2.977 | 14 | 2.617 | 3.461 | 14 | 2.907 | 3.763 | 14 | 3.116 | 3.984 | |||
15 | 2.131 | 2.947 | 15 | 2.597 | 3.420 | 15 | 2.882 | 3.714 | 15 | 3.088 | 3.929 | |||
16 | 2.120 | 2.921 | 16 | 2.580 | 3.384 | 16 | 2.861 | 3.671 | 16 | 3.064 | 3.881 | |||
17 | 2.110 | 2.898 | 17 | 2.565 | 3.353 | 17 | 2.843 | 3.634 | 17 | 3.042 | 3.840 | |||
18 | 2.101 | 2.878 | 18 | 2.552 | 3.326 | 18 | 2.826 | 3.602 | 18 | 3.024 | 3.803 | |||
19 | 2.093 | 2.861 | 19 | 2.540 | 3.302 | 19 | 2.812 | 3.574 | 19 | 3.007 | 3.771 | |||
20 | 2.086 | 2.845 | 20 | 2.530 | 3.280 | 20 | 2.799 | 3.548 | 20 | 2.992 | 3.743 | |||
21 | 2.080 | 2.831 | 21 | 2.521 | 3.261 | 21 | 2.787 | 3.526 | 21 | 2.979 | 3.717 | |||
22 | 2.074 | 2.819 | 22 | 2.512 | 3.244 | 22 | 2.777 | 3.505 | 22 | 2.967 | 3.694 | |||
23 | 2.069 | 2.807 | 23 | 2.504 | 3.228 | 23 | 2.767 | 3.487 | 23 | 2.956 | 3.674 | |||
24 | 2.064 | 2.797 | 24 | 2.497 | 3.214 | 24 | 2.759 | 3.470 | 24 | 2.946 | 3.655 | |||
25 | 2.060 | 2.787 | 25 | 2.491 | 3.201 | 25 | 2.751 | 3.454 | 25 | 2.937 | 3.637 | |||
26 | 2.056 | 2.779 | 26 | 2.485 | 3.189 | 26 | 2.743 | 3.440 | 26 | 2.928 | 3.621 | |||
27 | 2.052 | 2.771 | 27 | 2.479 | 3.178 | 27 | 2.737 | 3.427 | 27 | 2.921 | 3.607 | |||
28 | 2.048 | 2.763 | 28 | 2.474 | 3.168 | 28 | 2.730 | 3.415 | 28 | 2.913 | 3.593 | |||
29 | 2.045 | 2.756 | 29 | 2.470 | 3.159 | 29 | 2.725 | 3.404 | 29 | 2.907 | 3.581 | |||
30 | 2.042 | 2.750 | 30 | 2.465 | 3.150 | 30 | 2.719 | 3.394 | 30 | 2.901 | 3.569 | |||
35 | 2.030 | 2.724 | 35 | 2.447 | 3.114 | 35 | 2.697 | 3.351 | 35 | 2.875 | 3.522 | |||
40 | 2.021 | 2.704 | 40 | 2.434 | 3.088 | 40 | 2.680 | 3.320 | 40 | 2.856 | 3.487 | |||
45 | 2.014 | 2.690 | 45 | 2.424 | 3.068 | 45 | 2.668 | 3.296 | 45 | 2.841 | 3.460 | |||
50 | 2.009 | 2.678 | 50 | 2.415 | 3.052 | 50 | 2.658 | 3.277 | 50 | 2.830 | 3.438 | |||
55 | 2.004 | 2.668 | 55 | 2.409 | 3.039 | 55 | 2.649 | 3.262 | 55 | 2.820 | 3.421 | |||
60 | 2.000 | 2.660 | 60 | 2.403 | 3.028 | 60 | 2.643 | 3.249 | 60 | 2.812 | 3.407 | |||
70 | 1.994 | 2.648 | 70 | 2.395 | 3.011 | 70 | 2.632 | 3.229 | 70 | 2.800 | 3.384 | |||
80 | 1.990 | 2.639 | 80 | 2.388 | 2.999 | 80 | 2.624 | 3.214 | 80 | 2.791 | 3.368 | |||
90 | 1.987 | 2.632 | 90 | 2.383 | 2.989 | 90 | 2.618 | 3.203 | 90 | 2.784 | 3.355 | |||
100 | 1.984 | 2.626 | 100 | 2.379 | 2.981 | 100 | 2.613 | 3.193 | 100 | 2.778 | 3.345 | |||
120 | 1.980 | 2.617 | 120 | 2.373 | 2.970 | 120 | 2.605 | 3.180 | 120 | 2.770 | 3.329 | |||
240 | 1.970 | 2.596 | 240 | 2.358 | 2.941 | 240 | 2.587 | 3.146 | 240 | 2.749 | 3.292 | |||
∞ | 1.960 | 2.576 | ∞ | 2.344 | 2.914 | ∞ | 2.569 | 3.113 | ∞ | 2.728 | 3.255 |
Tabled Values are HSD 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 | .142 | .289 | .445 | .617 | .816 | 1.06 | 1.386 | 1.886 | 2.920 | 4.303 | 4.849 | 5.643 | 6.965 | 9.925 | 31.599 |
3 | .137 | .277 | .424 | .584 | .765 | .978 | 1.250 | 1.638 | 2.353 | 3.182 | 3.482 | 3.896 | 4.541 | 5.841 | 12.924 |
4 | .134 | .271 | .414 | .569 | .741 | .941 | 1.190 | 1.533 | 2.132 | 2.776 | 2.999 | 3.298 | 3.747 | 4.604 | 8.610 |
5 | .132 | .267 | .408 | .559 | .727 | .920 | 1.156 | 1.476 | 2.015 | 2.571 | 2.757 | 3.003 | 3.365 | 4.032 | 6.869 |
6 | .131 | .265 | .404 | .553 | .718 | .906 | 1.134 | 1.440 | 1.943 | 2.447 | 2.612 | 2.829 | 3.143 | 3.707 | 5.959 |
7 | .130 | .263 | .402 | .549 | .711 | .896 | 1.119 | 1.415 | 1.895 | 2.365 | 2.517 | 2.715 | 2.998 | 3.499 | 5.408 |
8 | .130 | .262 | .399 | .546 | .706 | .889 | 1.108 | 1.397 | 1.860 | 2.306 | 2.449 | 2.634 | 2.896 | 3.355 | 5.041 |
9 | .129 | .261 | .398 | .543 | .703 | .883 | 1.100 | 1.383 | 1.833 | 2.262 | 2.398 | 2.574 | 2.821 | 3.250 | 4.781 |
10 | .129 | .260 | .397 | .542 | .700 | .879 | 1.093 | 1.372 | 1.812 | 2.228 | 2.359 | 2.527 | 2.764 | 3.169 | 4.587 |
11 | .129 | .260 | .396 | .540 | .697 | .876 | 1.088 | 1.363 | 1.796 | 2.201 | 2.328 | 2.491 | 2.718 | 3.106 | 4.437 |
12 | .128 | .259 | .395 | .539 | .695 | .873 | 1.083 | 1.356 | 1.782 | 2.179 | 2.303 | 2.461 | 2.681 | 3.055 | 4.318 |
13 | .128 | .259 | .394 | .538 | .694 | .870 | 1.079 | 1.350 | 1.771 | 2.160 | 2.282 | 2.436 | 2.650 | 3.012 | 4.221 |
14 | .128 | .258 | .393 | .537 | .692 | .868 | 1.076 | 1.345 | 1.761 | 2.145 | 2.264 | 2.415 | 2.624 | 2.977 | 4.140 |
15 | .128 | .258 | .393 | .536 | .691 | .866 | 1.074 | 1.341 | 1.753 | 2.131 | 2.249 | 2.397 | 2.602 | 2.947 | 4.073 |
16 | .128 | .258 | .392 | .535 | .690 | .865 | 1.071 | 1.337 | 1.746 | 2.120 | 2.235 | 2.382 | 2.583 | 2.921 | 4.015 |
17 | .128 | .257 | .392 | .534 | .689 | .863 | 1.069 | 1.333 | 1.740 | 2.110 | 2.224 | 2.368 | 2.567 | 2.898 | 3.965 |
18 | .127 | .257 | .392 | .534 | .688 | .862 | 1.067 | 1.330 | 1.734 | 2.101 | 2.214 | 2.356 | 2.552 | 2.878 | 3.922 |
19 | .127 | .257 | .391 | .533 | .688 | .861 | 1.066 | 1.328 | 1.729 | 2.093 | 2.205 | 2.346 | 2.539 | 2.861 | 3.883 |
20 | .127 | .257 | .391 | .533 | .687 | .860 | 1.064 | 1.325 | 1.725 | 2.086 | 2.197 | 2.336 | 2.528 | 2.845 | 3.850 |
21 | .127 | .257 | .391 | .532 | .686 | .859 | 1.063 | 1.323 | 1.721 | 2.080 | 2.189 | 2.328 | 2.518 | 2.831 | 3.819 |
22 | .127 | .256 | .390 | .532 | .686 | .858 | 1.061 | 1.321 | 1.717 | 2.074 | 2.183 | 2.320 | 2.508 | 2.819 | 3.792 |
23 | .127 | .256 | .390 | .532 | .685 | .858 | 1.060 | 1.319 | 1.714 | 2.069 | 2.177 | 2.313 | 2.500 | 2.807 | 3.768 |
24 | .127 | .256 | .390 | .531 | .685 | .857 | 1.059 | 1.318 | 1.711 | 2.064 | 2.172 | 2.307 | 2.492 | 2.797 | 3.745 |
25 | .127 | .256 | .390 | .531 | .684 | .856 | 1.058 | 1.316 | 1.708 | 2.060 | 2.167 | 2.301 | 2.485 | 2.787 | 3.725 |
26 | .127 | .256 | .390 | .531 | .684 | .856 | 1.058 | 1.315 | 1.706 | 2.056 | 2.162 | 2.296 | 2.479 | 2.779 | 3.707 |
27 | .127 | .256 | .389 | .531 | .684 | .855 | 1.057 | 1.314 | 1.703 | 2.052 | 2.158 | 2.291 | 2.473 | 2.771 | 3.690 |
28 | .127 | .256 | .389 | .530 | .683 | .855 | 1.056 | 1.313 | 1.701 | 2.048 | 2.154 | 2.286 | 2.467 | 2.763 | 3.674 |
29 | .127 | .256 | .389 | .530 | .683 | .854 | 1.055 | 1.311 | 1.699 | 2.045 | 2.150 | 2.282 | 2.462 | 2.756 | 3.659 |
30 | .127 | .256 | .389 | .530 | .683 | .854 | 1.055 | 1.310 | 1.697 | 2.042 | 2.147 | 2.278 | 2.457 | 2.750 | 3.646 |
35 | .127 | .255 | .388 | .529 | .682 | .852 | 1.052 | 1.306 | 1.690 | 2.030 | 2.133 | 2.262 | 2.438 | 2.724 | 3.591 |
40 | .126 | .255 | .388 | .529 | .681 | .851 | 1.050 | 1.303 | 1.684 | 2.021 | 2.123 | 2.250 | 2.423 | 2.704 | 3.551 |
45 | .126 | .255 | .388 | .528 | .680 | .850 | 1.049 | 1.301 | 1.679 | 2.014 | 2.115 | 2.241 | 2.412 | 2.690 | 3.520 |
50 | .126 | .255 | .388 | .528 | .679 | .849 | 1.047 | 1.299 | 1.676 | 2.009 | 2.109 | 2.234 | 2.403 | 2.678 | 3.496 |
55 | .126 | .255 | .387 | .527 | .679 | .848 | 1.046 | 1.297 | 1.673 | 2.004 | 2.104 | 2.228 | 2.396 | 2.668 | 3.476 |
60 | .126 | .254 | .387 | .527 | .679 | .848 | 1.045 | 1.296 | 1.671 | 2.000 | 2.099 | 2.223 | 2.390 | 2.660 | 3.460 |
70 | .126 | .254 | .387 | .527 | .678 | .847 | 1.044 | 1.294 | 1.667 | 1.994 | 2.093 | 2.215 | 2.381 | 2.648 | 3.435 |
80 | .126 | .254 | .387 | .526 | .678 | .846 | 1.043 | 1.292 | 1.664 | 1.990 | 2.088 | 2.209 | 2.374 | 2.639 | 3.416 |
90 | .126 | .254 | .387 | .526 | .677 | .846 | 1.042 | 1.291 | 1.662 | 1.987 | 2.084 | 2.205 | 2.368 | 2.632 | 3.402 |
100 | .126 | .254 | .386 | .526 | .677 | .845 | 1.042 | 1.290 | 1.660 | 1.984 | 2.081 | 2.201 | 2.364 | 2.626 | 3.390 |
120 | .126 | .254 | .386 | .526 | .677 | .845 | 1.041 | 1.289 | 1.658 | 1.980 | 2.076 | 2.196 | 2.358 | 2.617 | 3.373 |
240 | .126 | .254 | .386 | .525 | .676 | .843 | 1.039 | 1.285 | 1.651 | 1.970 | 2.065 | 2.183 | 2.342 | 2.596 | 3.332 |
∞ | .126 | .253 | .385 | .524 | .674 | .842 | 1.036 | 1.282 | 1.645 | 1.960 | 2.054 | 2.170 | 2.326 | 2.576 | 3.291 |
Tabled Values are HSD 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 | .449 | .674 | .883 | 1.10 | 1.35 | 1.65 | 2.063 | 2.701 | 4.054 | 5.891 | 6.621 | 7.685 | 9.461 | 13.45 | 42.765 |
3 | .445 | .661 | .855 | 1.05 | 1.27 | 1.52 | 1.835 | 2.295 | 3.159 | 4.179 | 4.550 | 5.066 | 5.873 | 7.508 | 16.487 |
4 | .443 | .655 | .842 | 1.03 | 1.23 | 1.45 | 1.735 | 2.124 | 2.811 | 3.564 | 3.826 | 4.180 | 4.715 | 5.742 | 10.595 |
5 | .442 | .651 | .835 | 1.02 | 1.21 | 1.42 | 1.679 | 2.030 | 2.628 | 3.254 | 3.465 | 3.746 | 4.162 | 4.933 | 8.253 |
6 | .441 | .649 | .830 | 1.01 | 1.19 | 1.40 | 1.643 | 1.972 | 2.516 | 3.068 | 3.251 | 3.492 | 3.842 | 4.476 | 7.042 |
7 | .441 | .647 | .826 | 1.00 | 1.18 | 1.38 | 1.618 | 1.931 | 2.440 | 2.945 | 3.110 | 3.325 | 3.634 | 4.186 | 6.315 |
8 | .440 | .646 | .823 | .995 | 1.17 | 1.37 | 1.600 | 1.902 | 2.386 | 2.857 | 3.010 | 3.207 | 3.489 | 3.985 | 5.833 |
9 | .440 | .644 | .821 | .992 | 1.17 | 1.36 | 1.586 | 1.879 | 2.345 | 2.792 | 2.935 | 3.120 | 3.382 | 3.838 | 5.493 |
10 | .440 | .644 | .820 | .989 | 1.16 | 1.35 | 1.575 | 1.861 | 2.312 | 2.741 | 2.877 | 3.053 | 3.300 | 3.727 | 5.240 |
11 | .439 | .643 | .818 | .986 | 1.16 | 1.35 | 1.566 | 1.847 | 2.287 | 2.701 | 2.832 | 2.999 | 3.235 | 3.639 | 5.045 |
12 | .439 | .642 | .817 | .984 | 1.16 | 1.34 | 1.559 | 1.835 | 2.266 | 2.668 | 2.794 | 2.956 | 3.182 | 3.568 | 4.891 |
13 | .439 | .642 | .816 | .983 | 1.15 | 1.34 | 1.553 | 1.826 | 2.248 | 2.640 | 2.763 | 2.920 | 3.139 | 3.510 | 4.766 |
14 | .439 | .642 | .815 | .981 | 1.15 | 1.33 | 1.547 | 1.817 | 2.233 | 2.617 | 2.737 | 2.890 | 3.102 | 3.461 | 4.662 |
15 | .439 | .641 | .815 | .980 | 1.15 | 1.33 | 1.543 | 1.810 | 2.220 | 2.597 | 2.715 | 2.864 | 3.071 | 3.420 | 4.575 |
16 | .439 | .641 | .814 | .979 | 1.15 | 1.33 | 1.539 | 1.804 | 2.209 | 2.580 | 2.695 | 2.841 | 3.044 | 3.384 | 4.501 |
17 | .439 | .641 | .813 | .978 | 1.15 | 1.33 | 1.535 | 1.798 | 2.199 | 2.565 | 2.679 | 2.822 | 3.021 | 3.353 | 4.437 |
18 | .439 | .640 | .813 | .977 | 1.14 | 1.33 | 1.532 | 1.793 | 2.191 | 2.552 | 2.664 | 2.805 | 3.000 | 3.326 | 4.381 |
19 | .438 | .640 | .813 | .977 | 1.14 | 1.32 | 1.529 | 1.789 | 2.183 | 2.540 | 2.651 | 2.790 | 2.982 | 3.302 | 4.332 |
20 | .438 | .640 | .812 | .976 | 1.14 | 1.32 | 1.527 | 1.785 | 2.176 | 2.530 | 2.639 | 2.776 | 2.966 | 3.280 | 4.289 |
21 | .438 | .640 | .812 | .975 | 1.14 | 1.32 | 1.525 | 1.782 | 2.170 | 2.521 | 2.628 | 2.764 | 2.951 | 3.261 | 4.250 |
22 | .438 | .640 | .811 | .975 | 1.14 | 1.32 | 1.523 | 1.778 | 2.164 | 2.512 | 2.619 | 2.753 | 2.938 | 3.244 | 4.215 |
23 | .438 | .640 | .811 | .974 | 1.14 | 1.32 | 1.521 | 1.775 | 2.159 | 2.504 | 2.610 | 2.743 | 2.926 | 3.228 | 4.184 |
24 | .438 | .639 | .811 | .974 | 1.14 | 1.32 | 1.519 | 1.773 | 2.155 | 2.497 | 2.602 | 2.734 | 2.915 | 3.214 | 4.156 |
25 | .438 | .639 | .811 | .973 | 1.14 | 1.32 | 1.518 | 1.770 | 2.150 | 2.491 | 2.595 | 2.726 | 2.905 | 3.201 | 4.130 |
26 | .438 | .639 | .810 | .973 | 1.14 | 1.31 | 1.516 | 1.768 | 2.146 | 2.485 | 2.588 | 2.718 | 2.896 | 3.189 | 4.106 |
27 | .438 | .639 | .810 | .973 | 1.14 | 1.31 | 1.515 | 1.766 | 2.143 | 2.479 | 2.582 | 2.711 | 2.888 | 3.178 | 4.084 |
28 | .438 | .639 | .810 | .972 | 1.14 | 1.31 | 1.514 | 1.764 | 2.140 | 2.474 | 2.576 | 2.704 | 2.880 | 3.168 | 4.065 |
29 | .438 | .639 | .810 | .972 | 1.14 | 1.31 | 1.512 | 1.762 | 2.136 | 2.470 | 2.571 | 2.698 | 2.873 | 3.159 | 4.046 |
30 | .438 | .639 | .810 | .972 | 1.14 | 1.31 | 1.511 | 1.761 | 2.134 | 2.465 | 2.566 | 2.693 | 2.866 | 3.150 | 4.029 |
35 | .438 | .639 | .809 | .971 | 1.13 | 1.31 | 1.507 | 1.754 | 2.122 | 2.447 | 2.546 | 2.670 | 2.838 | 3.114 | 3.959 |
40 | .438 | .638 | .808 | .970 | 1.13 | 1.31 | 1.504 | 1.749 | 2.113 | 2.434 | 2.531 | 2.653 | 2.818 | 3.088 | 3.909 |
45 | .438 | .638 | .808 | .969 | 1.13 | 1.30 | 1.501 | 1.745 | 2.106 | 2.424 | 2.519 | 2.639 | 2.802 | 3.068 | 3.870 |
50 | .438 | .638 | .808 | .968 | 1.13 | 1.30 | 1.499 | 1.742 | 2.100 | 2.415 | 2.510 | 2.629 | 2.790 | 3.052 | 3.839 |
55 | .438 | .638 | .808 | .968 | 1.13 | 1.30 | 1.498 | 1.739 | 2.096 | 2.409 | 2.503 | 2.620 | 2.780 | 3.039 | 3.814 |
60 | .438 | .638 | .807 | .968 | 1.13 | 1.30 | 1.496 | 1.737 | 2.092 | 2.403 | 2.497 | 2.613 | 2.772 | 3.028 | 3.794 |
70 | .438 | .637 | .807 | .967 | 1.13 | 1.30 | 1.494 | 1.734 | 2.086 | 2.395 | 2.487 | 2.602 | 2.759 | 3.011 | 3.762 |
80 | .438 | .637 | .807 | .967 | 1.13 | 1.30 | 1.492 | 1.731 | 2.082 | 2.388 | 2.480 | 2.594 | 2.749 | 2.999 | 3.738 |
90 | .437 | .637 | .806 | .966 | 1.13 | 1.30 | 1.491 | 1.729 | 2.079 | 2.383 | 2.474 | 2.588 | 2.741 | 2.989 | 3.720 |
100 | .437 | .637 | .806 | .966 | 1.13 | 1.30 | 1.490 | 1.728 | 2.076 | 2.379 | 2.470 | 2.583 | 2.735 | 2.981 | 3.706 |
120 | .437 | .637 | .806 | .966 | 1.13 | 1.30 | 1.489 | 1.725 | 2.072 | 2.373 | 2.463 | 2.575 | 2.726 | 2.970 | 3.684 |
240 | .437 | .637 | .805 | .965 | 1.12 | 1.29 | 1.485 | 1.719 | 2.062 | 2.358 | 2.447 | 2.556 | 2.704 | 2.941 | 3.632 |
∞ | .437 | .636 | .805 | .964 | 1.12 | 1.29 | 1.481 | 1.714 | 2.052 | 2.344 | 2.430 | 2.538 | 2.682 | 2.914 | 3.581 |
Tabled Values are HSD 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 | .672 | .926 | 1.16 | 1.40 | 1.68 | 2.02 | 2.490 | 3.223 | 4.789 | 6.928 | 7.780 | 9.023 | 11.10 | 15.76 | 50.056 |
3 | .676 | .918 | 1.13 | 1.34 | 1.58 | 1.85 | 2.201 | 2.710 | 3.676 | 4.826 | 5.246 | 5.830 | 6.746 | 8.605 | 18.839 |
4 | .679 | .914 | 1.12 | 1.32 | 1.53 | 1.77 | 2.073 | 2.494 | 3.243 | 4.071 | 4.360 | 4.752 | 5.345 | 6.486 | 11.906 |
5 | .681 | .913 | 1.11 | 1.30 | 1.50 | 1.73 | 2.001 | 2.375 | 3.015 | 3.690 | 3.919 | 4.224 | 4.676 | 5.518 | 9.166 |
6 | .683 | .912 | 1.10 | 1.29 | 1.48 | 1.70 | 1.955 | 2.300 | 2.874 | 3.462 | 3.657 | 3.914 | 4.290 | 4.973 | 7.753 |
7 | .684 | .911 | 1.10 | 1.28 | 1.47 | 1.68 | 1.924 | 2.248 | 2.780 | 3.310 | 3.484 | 3.711 | 4.039 | 4.626 | 6.907 |
8 | .685 | .911 | 1.10 | 1.28 | 1.46 | 1.66 | 1.900 | 2.210 | 2.711 | 3.202 | 3.361 | 3.568 | 3.864 | 4.387 | 6.348 |
9 | .686 | .911 | 1.10 | 1.27 | 1.45 | 1.65 | 1.882 | 2.182 | 2.660 | 3.122 | 3.270 | 3.462 | 3.735 | 4.212 | 5.953 |
10 | .686 | .910 | 1.10 | 1.27 | 1.45 | 1.64 | 1.868 | 2.159 | 2.619 | 3.059 | 3.200 | 3.380 | 3.636 | 4.079 | 5.661 |
11 | .687 | .910 | 1.09 | 1.27 | 1.44 | 1.63 | 1.856 | 2.141 | 2.587 | 3.010 | 3.143 | 3.315 | 3.558 | 3.974 | 5.436 |
12 | .687 | .910 | 1.09 | 1.27 | 1.44 | 1.63 | 1.847 | 2.125 | 2.560 | 2.969 | 3.098 | 3.263 | 3.494 | 3.890 | 5.258 |
13 | .688 | .910 | 1.09 | 1.26 | 1.44 | 1.62 | 1.839 | 2.113 | 2.538 | 2.935 | 3.060 | 3.219 | 3.442 | 3.821 | 5.113 |
14 | .688 | .910 | 1.09 | 1.26 | 1.43 | 1.62 | 1.832 | 2.102 | 2.519 | 2.907 | 3.028 | 3.182 | 3.398 | 3.763 | 4.993 |
15 | .688 | .910 | 1.09 | 1.26 | 1.43 | 1.62 | 1.826 | 2.093 | 2.503 | 2.882 | 3.000 | 3.151 | 3.360 | 3.714 | 4.893 |
16 | .688 | .910 | 1.09 | 1.26 | 1.43 | 1.61 | 1.821 | 2.085 | 2.489 | 2.861 | 2.977 | 3.124 | 3.328 | 3.671 | 4.808 |
17 | .689 | .910 | 1.09 | 1.26 | 1.43 | 1.61 | 1.816 | 2.078 | 2.477 | 2.843 | 2.956 | 3.100 | 3.299 | 3.634 | 4.734 |
18 | .689 | .910 | 1.09 | 1.26 | 1.43 | 1.61 | 1.812 | 2.071 | 2.466 | 2.826 | 2.938 | 3.079 | 3.275 | 3.602 | 4.670 |
19 | .689 | .910 | 1.09 | 1.26 | 1.42 | 1.60 | 1.809 | 2.066 | 2.456 | 2.812 | 2.922 | 3.061 | 3.253 | 3.574 | 4.613 |
20 | .689 | .910 | 1.09 | 1.26 | 1.42 | 1.60 | 1.805 | 2.061 | 2.448 | 2.799 | 2.907 | 3.044 | 3.233 | 3.548 | 4.564 |
21 | .689 | .910 | 1.09 | 1.26 | 1.42 | 1.60 | 1.803 | 2.056 | 2.440 | 2.787 | 2.894 | 3.029 | 3.216 | 3.526 | 4.519 |
22 | .689 | .909 | 1.09 | 1.25 | 1.42 | 1.60 | 1.800 | 2.052 | 2.433 | 2.777 | 2.882 | 3.016 | 3.200 | 3.505 | 4.479 |
23 | .690 | .909 | 1.09 | 1.25 | 1.42 | 1.60 | 1.797 | 2.048 | 2.426 | 2.767 | 2.872 | 3.004 | 3.185 | 3.487 | 4.444 |
24 | .690 | .909 | 1.09 | 1.25 | 1.42 | 1.60 | 1.795 | 2.045 | 2.421 | 2.759 | 2.862 | 2.993 | 3.172 | 3.470 | 4.411 |
25 | .690 | .909 | 1.09 | 1.25 | 1.42 | 1.59 | 1.793 | 2.042 | 2.415 | 2.751 | 2.853 | 2.983 | 3.160 | 3.454 | 4.381 |
26 | .690 | .909 | 1.09 | 1.25 | 1.42 | 1.59 | 1.791 | 2.039 | 2.410 | 2.743 | 2.845 | 2.973 | 3.149 | 3.440 | 4.354 |
27 | .690 | .909 | 1.09 | 1.25 | 1.42 | 1.59 | 1.790 | 2.036 | 2.406 | 2.737 | 2.838 | 2.965 | 3.139 | 3.427 | 4.330 |
28 | .690 | .909 | 1.09 | 1.25 | 1.42 | 1.59 | 1.788 | 2.034 | 2.402 | 2.730 | 2.831 | 2.957 | 3.130 | 3.415 | 4.307 |
29 | .690 | .909 | 1.09 | 1.25 | 1.42 | 1.59 | 1.787 | 2.031 | 2.398 | 2.725 | 2.824 | 2.949 | 3.121 | 3.404 | 4.286 |
30 | .690 | .909 | 1.09 | 1.25 | 1.42 | 1.59 | 1.785 | 2.029 | 2.394 | 2.719 | 2.818 | 2.943 | 3.113 | 3.394 | 4.266 |
35 | .691 | .909 | 1.09 | 1.25 | 1.41 | 1.59 | 1.780 | 2.020 | 2.379 | 2.697 | 2.793 | 2.915 | 3.080 | 3.351 | 4.186 |
40 | .691 | .909 | 1.09 | 1.25 | 1.41 | 1.58 | 1.775 | 2.014 | 2.368 | 2.680 | 2.775 | 2.894 | 3.056 | 3.320 | 4.128 |
45 | .691 | .909 | 1.09 | 1.25 | 1.41 | 1.58 | 1.772 | 2.009 | 2.359 | 2.668 | 2.761 | 2.878 | 3.037 | 3.296 | 4.084 |
50 | .691 | .909 | 1.09 | 1.25 | 1.41 | 1.58 | 1.769 | 2.005 | 2.352 | 2.658 | 2.750 | 2.865 | 3.022 | 3.277 | 4.049 |
55 | .691 | .909 | 1.09 | 1.25 | 1.41 | 1.58 | 1.767 | 2.001 | 2.347 | 2.649 | 2.741 | 2.855 | 3.010 | 3.262 | 4.020 |
60 | .691 | .909 | 1.08 | 1.25 | 1.41 | 1.58 | 1.765 | 1.999 | 2.342 | 2.643 | 2.733 | 2.846 | 3.000 | 3.249 | 3.997 |
70 | .692 | .909 | 1.08 | 1.25 | 1.41 | 1.57 | 1.763 | 1.994 | 2.335 | 2.632 | 2.721 | 2.833 | 2.984 | 3.229 | 3.961 |
80 | .692 | .909 | 1.08 | 1.25 | 1.40 | 1.57 | 1.760 | 1.991 | 2.329 | 2.624 | 2.712 | 2.823 | 2.972 | 3.214 | 3.934 |
90 | .692 | .909 | 1.08 | 1.25 | 1.40 | 1.57 | 1.759 | 1.988 | 2.325 | 2.618 | 2.705 | 2.815 | 2.963 | 3.203 | 3.913 |
100 | .692 | .909 | 1.08 | 1.24 | 1.40 | 1.57 | 1.757 | 1.986 | 2.321 | 2.613 | 2.700 | 2.809 | 2.956 | 3.193 | 3.897 |
120 | .692 | .909 | 1.08 | 1.24 | 1.40 | 1.57 | 1.755 | 1.983 | 2.316 | 2.605 | 2.692 | 2.800 | 2.945 | 3.180 | 3.872 |
240 | .692 | .909 | 1.08 | 1.24 | 1.40 | 1.57 | 1.751 | 1.976 | 2.304 | 2.587 | 2.672 | 2.777 | 2.918 | 3.146 | 3.812 |
∞ | .693 | .909 | 1.08 | 1.24 | 1.40 | 1.56 | 1.746 | 1.968 | 2.291 | 2.569 | 2.652 | 2.754 | 2.892 | 3.113 | 3.754 |
Tabled Values are HSD 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 | .834 | 1.11 | 1.36 | 1.62 | 1.92 | 2.29 | 2.800 | 3.605 | 5.330 | 7.694 | 8.637 | 10.01 | 12.31 | 17.48 | 55.467 |
3 | .847 | 1.10 | 1.33 | 1.55 | 1.80 | 2.09 | 2.466 | 3.013 | 4.057 | 5.304 | 5.762 | 6.397 | 7.394 | 9.422 | 20.596 |
4 | .855 | 1.10 | 1.31 | 1.52 | 1.75 | 2.00 | 2.317 | 2.762 | 3.560 | 4.446 | 4.756 | 5.176 | 5.813 | 7.042 | 12.888 |
5 | .861 | 1.10 | 1.31 | 1.51 | 1.71 | 1.95 | 2.234 | 2.624 | 3.298 | 4.012 | 4.254 | 4.578 | 5.059 | 5.955 | 9.850 |
6 | .865 | 1.10 | 1.30 | 1.49 | 1.69 | 1.91 | 2.180 | 2.537 | 3.136 | 3.751 | 3.956 | 4.227 | 4.622 | 5.343 | 8.287 |
7 | .868 | 1.10 | 1.30 | 1.49 | 1.68 | 1.89 | 2.143 | 2.477 | 3.027 | 3.578 | 3.759 | 3.996 | 4.339 | 4.953 | 7.351 |
8 | .871 | 1.10 | 1.30 | 1.48 | 1.67 | 1.87 | 2.115 | 2.433 | 2.948 | 3.455 | 3.619 | 3.834 | 4.141 | 4.684 | 6.733 |
9 | .873 | 1.11 | 1.30 | 1.48 | 1.66 | 1.86 | 2.094 | 2.399 | 2.888 | 3.363 | 3.515 | 3.713 | 3.995 | 4.488 | 6.297 |
10 | .874 | 1.11 | 1.30 | 1.47 | 1.65 | 1.85 | 2.077 | 2.373 | 2.841 | 3.291 | 3.435 | 3.620 | 3.883 | 4.339 | 5.975 |
11 | .876 | 1.11 | 1.29 | 1.47 | 1.65 | 1.84 | 2.064 | 2.351 | 2.804 | 3.234 | 3.371 | 3.546 | 3.794 | 4.222 | 5.726 |
12 | .877 | 1.11 | 1.29 | 1.47 | 1.64 | 1.83 | 2.052 | 2.333 | 2.773 | 3.187 | 3.318 | 3.486 | 3.722 | 4.127 | 5.530 |
13 | .878 | 1.11 | 1.29 | 1.47 | 1.64 | 1.83 | 2.043 | 2.318 | 2.747 | 3.149 | 3.275 | 3.437 | 3.663 | 4.049 | 5.370 |
14 | .879 | 1.11 | 1.29 | 1.46 | 1.64 | 1.82 | 2.035 | 2.306 | 2.725 | 3.116 | 3.238 | 3.395 | 3.613 | 3.984 | 5.239 |
15 | .880 | 1.11 | 1.29 | 1.46 | 1.63 | 1.82 | 2.028 | 2.295 | 2.706 | 3.088 | 3.207 | 3.359 | 3.570 | 3.929 | 5.128 |
16 | .880 | 1.11 | 1.29 | 1.46 | 1.63 | 1.81 | 2.022 | 2.285 | 2.690 | 3.064 | 3.180 | 3.328 | 3.534 | 3.881 | 5.034 |
17 | .881 | 1.11 | 1.29 | 1.46 | 1.63 | 1.81 | 2.016 | 2.277 | 2.676 | 3.042 | 3.156 | 3.301 | 3.502 | 3.840 | 4.953 |
18 | .882 | 1.11 | 1.29 | 1.46 | 1.63 | 1.81 | 2.012 | 2.270 | 2.663 | 3.024 | 3.135 | 3.277 | 3.474 | 3.803 | 4.882 |
19 | .882 | 1.11 | 1.29 | 1.46 | 1.63 | 1.80 | 2.007 | 2.263 | 2.652 | 3.007 | 3.117 | 3.256 | 3.449 | 3.771 | 4.820 |
20 | .883 | 1.11 | 1.29 | 1.46 | 1.62 | 1.80 | 2.004 | 2.257 | 2.642 | 2.992 | 3.101 | 3.237 | 3.427 | 3.743 | 4.766 |
21 | .883 | 1.11 | 1.29 | 1.46 | 1.62 | 1.80 | 2.000 | 2.252 | 2.633 | 2.979 | 3.086 | 3.221 | 3.407 | 3.717 | 4.717 |
22 | .883 | 1.11 | 1.29 | 1.46 | 1.62 | 1.80 | 1.997 | 2.247 | 2.625 | 2.967 | 3.072 | 3.205 | 3.389 | 3.694 | 4.673 |
23 | .884 | 1.11 | 1.29 | 1.46 | 1.62 | 1.80 | 1.994 | 2.243 | 2.617 | 2.956 | 3.060 | 3.192 | 3.373 | 3.674 | 4.634 |
24 | .884 | 1.11 | 1.29 | 1.45 | 1.62 | 1.79 | 1.992 | 2.238 | 2.611 | 2.946 | 3.049 | 3.179 | 3.358 | 3.655 | 4.598 |
25 | .884 | 1.11 | 1.29 | 1.45 | 1.62 | 1.79 | 1.989 | 2.235 | 2.604 | 2.937 | 3.039 | 3.167 | 3.344 | 3.637 | 4.565 |
26 | .885 | 1.11 | 1.29 | 1.45 | 1.62 | 1.79 | 1.987 | 2.231 | 2.599 | 2.928 | 3.029 | 3.157 | 3.332 | 3.621 | 4.536 |
27 | .885 | 1.11 | 1.29 | 1.45 | 1.62 | 1.79 | 1.985 | 2.228 | 2.593 | 2.921 | 3.021 | 3.147 | 3.320 | 3.607 | 4.508 |
28 | .885 | 1.11 | 1.29 | 1.45 | 1.62 | 1.79 | 1.983 | 2.225 | 2.588 | 2.913 | 3.013 | 3.138 | 3.310 | 3.593 | 4.483 |
29 | .885 | 1.11 | 1.29 | 1.45 | 1.62 | 1.79 | 1.981 | 2.223 | 2.584 | 2.907 | 3.005 | 3.130 | 3.300 | 3.581 | 4.460 |
30 | .886 | 1.11 | 1.29 | 1.45 | 1.61 | 1.79 | 1.980 | 2.220 | 2.579 | 2.901 | 2.999 | 3.122 | 3.291 | 3.569 | 4.439 |
35 | .886 | 1.11 | 1.29 | 1.45 | 1.61 | 1.78 | 1.973 | 2.210 | 2.562 | 2.875 | 2.970 | 3.090 | 3.253 | 3.522 | 4.351 |
40 | .887 | 1.11 | 1.29 | 1.45 | 1.61 | 1.78 | 1.968 | 2.202 | 2.549 | 2.856 | 2.949 | 3.066 | 3.226 | 3.487 | 4.287 |
45 | .888 | 1.11 | 1.29 | 1.45 | 1.61 | 1.78 | 1.964 | 2.196 | 2.539 | 2.841 | 2.933 | 3.048 | 3.204 | 3.460 | 4.239 |
50 | .888 | 1.11 | 1.29 | 1.45 | 1.61 | 1.77 | 1.961 | 2.191 | 2.531 | 2.830 | 2.920 | 3.033 | 3.187 | 3.438 | 4.200 |
55 | .888 | 1.11 | 1.29 | 1.45 | 1.61 | 1.77 | 1.958 | 2.187 | 2.524 | 2.820 | 2.910 | 3.022 | 3.174 | 3.421 | 4.169 |
60 | .889 | 1.11 | 1.29 | 1.45 | 1.61 | 1.77 | 1.956 | 2.184 | 2.519 | 2.812 | 2.901 | 3.012 | 3.162 | 3.407 | 4.144 |
70 | .889 | 1.11 | 1.29 | 1.45 | 1.60 | 1.77 | 1.953 | 2.178 | 2.510 | 2.800 | 2.887 | 2.996 | 3.144 | 3.384 | 4.104 |
80 | .889 | 1.11 | 1.29 | 1.45 | 1.60 | 1.77 | 1.950 | 2.175 | 2.504 | 2.791 | 2.877 | 2.985 | 3.131 | 3.368 | 4.074 |
90 | .890 | 1.11 | 1.29 | 1.45 | 1.60 | 1.77 | 1.948 | 2.172 | 2.499 | 2.784 | 2.869 | 2.976 | 3.121 | 3.355 | 4.052 |
100 | .890 | 1.11 | 1.29 | 1.45 | 1.60 | 1.76 | 1.946 | 2.169 | 2.495 | 2.778 | 2.863 | 2.969 | 3.113 | 3.345 | 4.034 |
120 | .890 | 1.11 | 1.29 | 1.44 | 1.60 | 1.76 | 1.944 | 2.166 | 2.489 | 2.770 | 2.854 | 2.959 | 3.100 | 3.329 | 4.007 |
240 | .891 | 1.11 | 1.29 | 1.44 | 1.60 | 1.76 | 1.938 | 2.157 | 2.474 | 2.749 | 2.831 | 2.933 | 3.070 | 3.292 | 3.942 |
∞ | .892 | 1.11 | 1.29 | 1.44 | 1.60 | 1.76 | 1.932 | 2.148 | 2.460 | 2.728 | 2.808 | 2.907 | 3.040 | 3.255 | 3.878 |