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
               |