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Table Critical values of the Studentized range for multiple comparison
Level of significance = 0.01
k2 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 201234
56789
1011121314
1516171819
2021222324
17.9696.0854.5013.926
3.6353.4603.3443.2613.199
3.1513.1133.0813.0553.033
3.0142.9982.9842.9712.960
2.9502.9412.9332.9262.919
26.988.335.915.04
4.604.344.164.043.95
3.883.823.773.733.70
3.673.653.633.613.59
3.583.563.553.543.53
32.829.806.825.76
5.224.904.684.534.41
4.334.264.204.154.11
4.084.054.024.003.98
3.963.943.933.913.90
37.0810.887.506.29
5.675.305.064.894.76
4.654.574.514.454.41
4.374.334.304.284.25
4.234.214.204.184.17
40.4111.748.046.71
6.035.635.365.175.02
4.914.824.754.694.64
4.594.564.524.494.47
4.454.434.414.394.37
43.1212.448.487.05
6.335.905.615.405.24
5.125.034.954.884.83
4.784.744.704.674.65
4.624.604.584.564.54
45.4013.038.857.35
6.586.125.825.605.43
5.305.205.125.054.99
4.944.904.864.824.79
4.774.744.724.704.68
47.3613.549.187.60
6.806.326.005.775.59
5.465.355.275.195.13
5.085.034.994.964.92
4.904.874.854.834.81
49.0713.999.467.83
6.996.496.165.925.74
5.605.495.395.325.25
5.205.155.115.075.04
5.014.984.964.944.92
50.5914.399.728.03
7.176.656.306.055.87
5.725.615.515.435.36
5.315.265.215.175.14
5.115.085.055.035.01
51.9614.759.958.21
7.326.796.436.185.98
5.835.715.615.535.46
5.405.355.315.275.23
5.205.175.155.125.10
53.2015.0810.158.37
7.476.926.556.296.09
5.935.815.715.635.55
5.495.445.395.355.31
5.285.255.235.205.18
54.3315.3810.358.52
7.607.036.666.396.19
6.035.905.805.715.64
5.575.525.475.435.39
5.365.335.305.275.25
55.3615.6510.528.66
7.727.146.766.486.28
6.115.985.885.795.71
5.655.595.545.505.46
5.435.405.375.345.32
56.3215.9110.698.79
7.837.246.856.576.36
6.196.065.955.855.79
5.725.665.615.575.53
5.495.465.435.405.38
57.2216.1410.848.91
7.937.346.946.656.44
6.276.136.025.935.85
5.785.735.675635.59
5.555.525.495.465.44
58.0416.3710.989.03
8.037.437.026.736.51
6.346.206.095.995.91
5.855.795.735.695.65
5.615.585.555.525.49
58.8316.5711.119.13
8.127.517.106.806.58
6.406.276.156.055.97
5.905.845.795.745.7
5.665.625.595.575.55
59.5616.7711.249.23
8.217.597.176.876.64
6.476.336.216.116.03
5.965.905.845.795.75
5.715.675.645.625.59
Level of significance = 0.01 ()
k2 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 202526272829
3031323334
3536373839
405060120
2.9132.9072.9022.8972.892
2.8882.8842.8812.8772.874
2.8712.8682.8652.8632.861
2.8582.8412.8292.8002.772
3.523.513.513.503.49
3.493.483.483.473.47
3.463.463.453.453.44
3.443.413.403.363.31
3.893.883.873.863.85
3.853.833.833.823.82
3.813.813.803.803.79
3.793.763.743.683.63
4.164.144.134.124.11
4.104.094.094.084.07
4.074.064.054.054.04
4.044.003.983.923.86
4.364.344.334.324.31
4.304.294.284.274.27
4.264.254.254.244.24
4.234.194.164.104.03
4.524.514.504.484.47
4.464.454.444.444.43
4.424.414.414.404.40
4.394.344.314.244.17
4.664.654.634.624.61
4.604.594.584.574.56
4.554.554.544.534.53
4.524.474.444.364.29
4.794.784.764.754.73
4.724.714.704.694.69
4.674.664.654.644.64
4.634.584.554.474.39
4.904.894.874.864.84
4.824.824.814.804.79
4.784.774.764.754.75
4.734.694.654.564.47
4.994.974.964.944.93
4.924.914.894.884.87
4.864.854.844.844.83
4.824.764.734.644.55
5.085.065.3045.035.01
5.004.994.984.974.96
4.954.944.934.924.92
4.904.854.814.714.62
5.165.145.125.115.09
5.085.075.065.045.03
5.025.015.005.004.99
4.984.924.884.784.68
5.235.215.195.185.16
5.155.145.135.115.10
5.095.085.085.075.06
5.044.994.944.844.74
5.305.285.265.245.23
5.215.205.195.175.16
5.155.145.145.135.12
5.115.055.004.904.80
5.365.345.325.305.29
5.275.265.245.235.22
5.215.205.195.185.17
5.165.105.064.954.85
5.425.405.385.365.35
5.335.325.305.295.28
5.275.265.255.245.23
5.225.155.115.004.89
5.485.465.435.425.40
5.385.375.355.345.33
5.325.315.305.295.28
5.275.205.155.044.93
5.525.505.485.465.44
5.435.415.405.395.37
5.365.355.345.335.32
5.225.245.205.094.97
5.575.555.535.515.49
5.475.465.455.445.42
5.415.405.395.385.37
5.365.295.245.135.01
Level of significance = 0.05
k2 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 201234
56789
1011121314
1516171819
2021222324
90.02514.0368.2606.511
5.7025.2434.9494.7454.596
4.4824.3924.3204.2604.210
4.1674.1314.0994.0714.045
4.0244.0043.9863.9703.955
135.019.0210.628.12
6.986.335.925.645.43
5.275.155.054.964.89
4.844.794.744.704.67
4.644.614.584.564.55
164.322.2912.179.17
7.807.086.546.205.96
5.775.625.505.405.32
5.255.195.145.095.05
5.024.994.964.934.91
185.624.7213.339.96
8.427.567.016.626.35
6.145.975.845.735.63
5.565.495.435.385.33
5.295.265.225.205.17
202.226.6314.2410.58
8.917.977.376.966.66
6.436.256.105.985.88
5.805.725.665.605.55
5.515.475.435.405.37
215.828.2015.0011.10
9.328.327.687.246.91
6.676.486.326.196.08
5.995.925.855.795.73
5.695.655.615.575.54
227.229.5315.6411.5
9.678.617.947.477.13
6.876.676.516.376.26
6.166.086.015.945.89
5.845.805.765.725.69
237.030.6816.2011.93
9.978.878.177.687.33
7.056.846.676.536.41
6.316.226.156.086.02
5.975.925.885.845.81
245.631.6916.6912.27
10.249.108.377.867.49
7.216.996.816.676.54
6.446.356.276.206.14
6.096.046.005.965.92
253.232.5917.1312.57
10.489.308.558.037.65
7.367.136.946.796.66
6.556.436.386.316.25
6.196.146.106.066.02
260.033.4017.5312.84
10.709.488.718.187.78
7.497.257.066.906.77
6.666.566.486.416.34
6.286.246.196.156.11
266.234.1317.8913.09
10.899.658.868.317.91
7.607.367.177.016.87
6.766.666.576.506.43
6.376.326.276.236.19
271.834.8118.2213.32
11.089.819.008.448.03
7.717.467.267.106.96
6.846.746.666.586.51
6.456.396.356.306.26
277.035.4318.5213.53
11.249.959.128.558.13
7.817.567.367.197.05
6.936.826.736.656.58
6.526.476.426.376.33
281.836.0018.8113.73
11.4010.089.248.668.23
7.917.657.447.277.13
7.006.906.816.736.65
6.596.536.486.436.39
286.336.5319.0713.91
11.5510.219.358.768.33
7.997.737.527.357.20
7.076.976.876.796.72
6.656.596.546.496.45
290.437.0319.3214.08
11.6810.329.468.858.41
8.087.817.597.427.27
7.147.036.946.856.78
6.716.656.606.556.51
294.337.5019.5514.24
11.8110.439.558.948.49
8.157.887.667.487.33
7.207.097.006.916.84
6.776.706.656.606.56
298.037.9519.7714.40
11.9310.549.659.038.57
8.237.957.737.557.39
7.267.157.056.976.89
6.826.766.706.656.61
Level of significance = 0.05 ()
k2 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 202526272829
3031323334
3536373839
405060120
3.9423.9303.9183.9083.889
3.8893.8813.8733.8653.859
3.8523.8463.8413.8353.830
3.8253.7873.7623.7023.643
4.524.504.494.474.45
4.454.444.434.424.41
4.414.004.394.384.38
4.374.324.284.204.12
4.894.874.854.834.80
4.804.794.784.764.75
4.744.734.724.724.71
4.704.644.594.504.40
5.155.125.105.085.05
5.055.035.025.014.99
4.984.974.964.954.94
4.934.864.824.714.60
5.345.325.305.285.24
5.245.225.215.195.18
5.165.155.145.135.12
5.115.045.494.874.76
5.515.495.465.445.40
5.405.385.375.355.34
5.335.315.305.295.28
5.265.195.135.014.88
5.665.635.615.585.54
5.545.525.505.485.47
5.455.445.435.415.40
5.395.305.255.124.99
5.785.755.725.705.65
5.655.635.615.595.58
5.565.555.545.525.51
5.505.415.365.215.08
5.895.865.835.805.76
5.765.745.725.705.68
5.675.655.645.625.62
5.605.515.455.305.16
5.995.955.935.905.85
5.855.835.815.795.77
5.765.745.735.725.70
5.695.595.535.375.23
6.076.046.015.985.93
5.935.915.895.875.86
5.845.825.815.805.78
5.765.675.605.445.29
6.156.126.096.066.01
6.015.995.975.955.93
5.915.905.885.875.85
5.835.745.675.505.35
6.226.196.166.136.08
6.086.066.036.015.99
5.985.965.945.935.91
5.905.805.735.565.40
6.296.266.226.196.14
6.146.126.096.076.05
6.046.026.005.995.97
5.965.865.785.615.45
6.356.326.286.256.20
6.206.186.166.136.12
6.106.086.066.056.03
6.025.915.845.665.49
6.416.386.346.326.26
6.266.236.216.196.17
6.156.136.126.106.08
6.075.965.895.715.54
6.476.436.406.376.31
6.316.296.266.246.22
6.206.186.176.156.13
6.126.015.935.755.57
6.526.486.456.426.32
6.366.346.316.296.27
6.256.236.226.206.18
6.166.065.875.795.61
6.576.536.506.476.41
6.416.386.366.346.31
6.296.286.266.246.23
6.216.096.015.835.65
Kanji, Gopal K. 100 Statistical Tests. London : SAGE Publication Ltd., 1993.