\(\chi^2\)-Quantiles

Si 0.01 0.025 0.05 0.1 0.25 0.5 0.75 0.9 0.95 0.975 0.99
df / \(\alpha\) 0.99 0.975 0.95 0.9 0.75 0.5 0.25 0.1 0.05 0.025 0.01
1 0 0 0 0.02 0.1 0.45 1.32 2.71 3.84 5.02 6.63
2 0.02 0.05 0.1 0.21 0.58 1.39 2.77 4.61 5.99 7.38 9.21
3 0.11 0.22 0.35 0.58 1.21 2.37 4.11 6.25 7.81 9.35 11.34
4 0.3 0.48 0.71 1.06 1.92 3.36 5.39 7.78 9.49 11.14 13.28
5 0.55 0.83 1.15 1.61 2.67 4.35 6.63 9.24 11.07 12.83 15.09
6 0.87 1.24 1.64 2.2 3.45 5.35 7.84 10.64 12.59 14.45 16.81
7 1.24 1.69 2.17 2.83 4.25 6.35 9.04 12.02 14.07 16.01 18.48
8 1.65 2.18 2.73 3.49 5.07 7.34 10.22 13.36 15.51 17.53 20.09
9 2.09 2.7 3.33 4.17 5.9 8.34 11.39 14.68 16.92 19.02 21.67
10 2.56 3.25 3.94 4.87 6.74 9.34 12.55 15.99 18.31 20.48 23.21
11 3.05 3.82 4.57 5.58 7.58 10.34 13.7 17.28 19.68 21.92 24.72
12 3.57 4.4 5.23 6.3 8.44 11.34 14.85 18.55 21.03 23.34 26.22
13 4.11 5.01 5.89 7.04 9.3 12.34 15.98 19.81 22.36 24.74 27.69
14 4.66 5.63 6.57 7.79 10.17 13.34 17.12 21.06 23.68 26.12 29.14
15 5.23 6.26 7.26 8.55 11.04 14.34 18.25 22.31 25 27.49 30.58
16 5.81 6.91 7.96 9.31 11.91 15.34 19.37 23.54 26.3 28.85 32
17 6.41 7.56 8.67 10.09 12.79 16.34 20.49 24.77 27.59 30.19 33.41
18 7.01 8.23 9.39 10.86 13.68 17.34 21.6 25.99 28.87 31.53 34.81
19 7.63 8.91 10.12 11.65 14.56 18.34 22.72 27.2 30.14 32.85 36.19
20 8.26 9.59 10.85 12.44 15.45 19.34 23.83 28.41 31.41 34.17 37.57
21 8.9 10.28 11.59 13.24 16.34 20.34 24.93 29.62 32.67 35.48 38.93
22 9.54 10.98 12.34 14.04 17.24 21.34 26.04 30.81 33.92 36.78 40.29
23 10.2 11.69 13.09 14.85 18.14 22.34 27.14 32.01 35.17 38.08 41.64
24 10.86 12.4 13.85 15.66 19.04 23.34 28.24 33.2 36.42 39.36 42.98
25 11.52 13.12 14.61 16.47 19.94 24.34 29.34 34.38 37.65 40.65 44.31
26 12.2 13.84 15.38 17.29 20.84 25.34 30.43 35.56 38.89 41.92 45.64
27 12.88 14.57 16.15 18.11 21.75 26.34 31.53 36.74 40.11 43.19 46.96
28 13.56 15.31 16.93 18.94 22.66 27.34 32.62 37.92 41.34 44.46 48.28
29 14.26 16.05 17.71 19.77 23.57 28.34 33.71 39.09 42.56 45.72 49.59
30 14.95 16.79 18.49 20.6 24.48 29.34 34.8 40.26 43.77 46.98 50.89
35 18.51 20.57 22.47 24.8 29.05 34.34 40.22 46.06 49.8 53.2 57.34
40 22.16 24.43 26.51 29.05 33.66 39.34 45.62 51.81 55.76 59.34 63.69
45 25.9 28.37 30.61 33.35 38.29 44.34 50.98 57.51 61.66 65.41 69.96
50 29.71 32.36 34.76 37.69 42.94 49.33 56.33 63.17 67.5 71.42 76.15
60 37.48 40.48 43.19 46.46 52.29 59.33 66.98 74.4 79.08 83.3 88.38
70 45.44 48.76 51.74 55.33 61.7 69.33 77.58 85.53 90.53 95.02 100.4
80 53.54 57.15 60.39 64.28 71.14 79.33 88.13 96.58 101.9 106.6 112.3
90 61.75 65.65 69.13 73.29 80.62 89.33 98.65 107.6 113.2 118.1 124.1
100 70.06 74.22 77.93 82.36 90.13 99.33 109.1 118.5 124.3 129.6 135.8
150 112.7 118 122.7 128.3 138 149.3 161.3 172.6 179.6 185.8 193.2
200 156.4 162.7 168.3 174.8 186.2 199.3 213.1 226 234 241.1 249.4
300 246 253.9 260.9 269.1 283.1 299.3 316.1 331.8 341.4 349.9 359.9
500 429.4 439.9 449.1 459.9 478.3 499.3 521 540.9 553.1 563.9 576.5
1000 898.9 914.3 927.6 943.1 969.5 999.3 1030 1058 1075 1090 1107

Citation

The E-Learning project SOGA-R was developed at the Department of Earth Sciences by Kai Hartmann, Joachim Krois and Annette Rudolph. You can reach us via mail by soga[at]zedat.fu-berlin.de.

Creative Commons License
You may use this project freely under the Creative Commons Attribution-ShareAlike 4.0 International License.

Please cite as follow: Hartmann, K., Krois, J., Rudolph, A. (2023): Statistics and Geodata Analysis using R (SOGA-R). Department of Earth Sciences, Freie Universitaet Berlin.