Studentized Range Statistic (q) for \(\alpha\) = 0.05

Find the appropriate q value at the intersection of \(df_\text{Within}\) and number of groups (k).

k = 2 3 4 5 6 7 8 9 10
df = 3 4.501 5.910 6.824 7.502 8.037 8.478 8.852 9.177 9.462
4 3.926 5.040 5.757 6.287 6.706 7.053 7.346 7.601 7.826
5 3.635 4.602 5.218 5.673 6.033 6.330 6.582 6.801 6.995
6 3.461 4.339 4.896 5.305 5.628 5.895 6.122 6.319 6.493
7 3.344 4.165 4.681 5.060 5.359 5.606 5.815 5.997 6.158
8 3.261 4.041 4.529 4.886 5.167 5.399 5.596 5.767 5.918
9 3.199 3.949 4.415 4.755 5.024 5.244 5.432 5.595 5.738
10 3.151 3.877 4.327 4.654 4.912 5.124 5.304 5.460 5.598
11 3.113 3.820 4.256 4.574 4.823 5.028 5.202 5.353 5.486
12 3.081 3.773 4.199 4.508 4.750 4.950 5.119 5.265 5.395
13 3.055 3.734 4.151 4.453 4.690 4.884 5.049 5.192 5.318
14 3.033 3.701 4.111 4.407 4.638 4.829 4.990 5.130 5.253
15 3.014 3.673 4.076 4.367 4.595 4.782 4.940 5.077 5.198
16 2.998 3.649 4.046 4.333 4.557 4.741 4.896 5.031 5.150
17 2.984 3.628 4.020 4.303 4.524 4.705 4.858 4.991 5.108
18 2.971 3.609 3.997 4.276 4.494 4.673 4.824 4.955 5.071
19 2.960 3.593 3.977 4.253 4.468 4.645 4.794 4.924 5.037
20 2.950 3.578 3.958 4.232 4.445 4.620 4.768 4.895 5.008
21 2.941 3.565 3.942 4.213 4.424 4.597 4.744 4.870 4.981
22 2.933 3.553 3.927 4.196 4.405 4.577 4.722 4.847 4.957
23 2.925 3.542 3.914 4.181 4.388 4.558 4.702 4.826 4.935
24 2.919 3.532 3.901 4.166 4.373 4.541 4.684 4.807 4.915
25 2.913 3.523 3.890 4.153 4.358 4.526 4.667 4.789 4.897
26 2.907 3.514 3.880 4.141 4.345 4.511 4.652 4.773 4.880
27 2.902 3.506 3.870 4.130 4.333 4.498 4.638 4.758 4.864
28 2.897 3.499 3.861 4.120 4.322 4.486 4.625 4.745 4.850
29 2.892 3.493 3.853 4.111 4.311 4.475 4.613 4.732 4.837
30 2.888 3.486 3.845 4.102 4.301 4.464 4.601 4.720 4.824
40 2.858 3.442 3.791 4.039 4.232 4.388 4.521 4.635 4.734
50 2.841 3.416 3.758 4.002 4.190 4.344 4.473 4.584 4.681
60 2.829 3.399 3.737 3.977 4.163 4.314 4.441 4.550 4.646
100 2.806 3.365 3.695 3.929 4.109 4.256 4.378 4.484 4.577
Inf 2.772 3.314 3.633 3.858 4.030 4.170 4.286 4.386 4.474