Upper 0.05 significance level critical values | |||||||||||
df | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 |
---|---|---|---|---|---|---|---|---|---|---|---|
2 | 39.0 | 87.5 | 142 | 202 | 266 | 333 | 403 | 475 | 550 | 626 | 704 |
3 | 15.4 | 27.8 | 39.2 | 50.7 | 62.0 | 72.9 | 83.5 | 93.9 | 104 | 114 | 124 |
4 | 9.60 | 15.5 | 20.6 | 25.2 | 29.5 | 33.6 | 37.5 | 41.1 | 44.6 | 48.0 | 51.4 |
5 | 7.15 | 10.8 | 13.7 | 16.3 | 18.7 | 20.8 | 22.9 | 24.7 | 26.5 | 28.2 | 29.9 |
6 | 5.82 | 8.38 | 10.4 | 12.1 | 13.7 | 15.0 | 16.3 | 17.5 | 18.6 | 19.7 | 20.7 |
7 | 4.99 | 6.94 | 8.44 | 9.70 | 10.8 | 11.8 | 12.7 | 13.5 | 14.3 | 15.1 | 15.8 |
8 | 4.43 | 6.00 | 7.18 | 8.12 | 9.03 | 9.78 | 10.5 | 11.1 | 11.7 | 12.2 | 12.7 |
9 | 4.03 | 5.34 | 6.31 | 7.11 | 7.80 | 8.41 | 8.95 | 9.45 | 9.91 | 10.3 | 10.7 |
10 | 3.72 | 4.85 | 5.67 | 6.34 | 6.92 | 7.42 | 7.87 | 8.28 | 8.66 | 9.01 | 9.34 |
12 | 3.28 | 4.16 | 4.79 | 5.30 | 5.72 | 6.09 | 6.42 | 6.72 | 7.00 | 7.25 | 7.48 |
15 | 2.86 | 3.54 | 4.01 | 4.37 | 4.68 | 4.95 | 5.19 | 5.40 | 5.59 | 5.77 | 5.93 |
20 | 2.46 | 2.95 | 3.29 | 3.54 | 3.76 | 3.94 | 4.10 | 4.24 | 4.37 | 4.49 | 4.59 |
30 | 2.07 | 2.40 | 2.61 | 2.78 | 2.91 | 3.02 | 3.12 | 3.21 | 3.29 | 3.36 | 3.39 |
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1.67 | 1.85 | 1.96 | 2.04 | 2.11 | 2.17 | 2.22 | 2.26 | 2.30 | 2.33 | 2.36 |
Upper 0.01 significance level critical values![]() |
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df | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 |
2 | 199 | 448 | 729 | 1036 | 1362 | 1705 | 2063 | 2432 | 2813 | 3204 | 3605 |
3 | 47.5 | 85 | 120 | 151 | 184 | 21(6) | 24(9) | 28(1) | 31(0) | 33(7) | 36(1) |
4 | 23.2 | 37 | 49 | 59 | 69 | 79 | 89 | 97 | 106 | 113 | 120 |
5 | 14.9 | 22 | 28 | 33 | 38 | 42 | 46 | 50 | 54 | 57 | 60 |
6 | 11.1 | 15.5 | 19.1 | 22 | 25 | 27 | 30 | 32 | 34 | 36 | 37 |
7 | 8.89 | 12.1 | 14.5 | 16.5 | 18.4 | 20 | 22 | 23 | 24 | 26 | 27 |
8 | 7.50 | 9.9 | 11.7 | 13.2 | 14.5 | 15.8 | 16.9 | 17.9 | 18.9 | 19.8 | 21 |
9 | 6.54 | 8.5 | 9.9 | 11.1 | 12.1 | 13.1 | 13.9 | 14.7 | 15.3 | 16.0 | 16.6 |
10 | 5.85 | 7.4 | 8.6 | 9.6 | 10.4 | 11.1 | 11.8 | 12.4 | 12.9 | 13.4 | 13.9 |
12 | 4.91 | 6.1 | 6.9 | 7.6 | 8.2 | 8.7 | 9.1 | 9.5 | 9.9 | 10.2 | 10.6 |
15 | 4.07 | 4.9 | 5.5 | 6.0 | 6.4 | 6.7 | 7.1 | 7.3 | 7.5 | 7.8 | 8.0 |
20 | 3.32 | 3.8 | 4.3 | 4.6 | 4.9 | 5.1 | 5.3 | 5.5 | 5.6 | 5.8 | 5.9 |
30 | 2.63 | 3.0 | 3.3 | 3.4 | 3.6 | 3.7 | 3.8 | 3.9 | 4.0 | 4.1 | 4.2 |
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1.96 | 2.2 | 2.3 | 2.4 | 2.4 | 2.5 | 2.5 | 2.6 | 2.6 | 2.7 | 2.7 |