Statistical Tables | Tukey's HSD Distribution
HSD Statistics for the Given Two-Tailed Probabilities (p) and Degrees of Freedom (df)
| 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 |
HSD Statistics for dfEFFECT = 1 and the Given Two-Tailed Probabilities (p) and dfERROR
| 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 |
HSD Statistics for dfEFFECT = 2 and the Given Two-Tailed Probabilities (p) and dfERROR
| 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 |
HSD Statistics for dfEFFECT = 3 and the Given Two-Tailed Probabilities (p) and dfERROR
| 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 |
HSD Statistics for dfEFFECT = 4 and the Given Two-Tailed Probabilities (p) and dfERROR
| 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 |