Quantiles of the Student's t-Distribution¶

Si / $$df$$ 0.75 0.9 0.95 0.975 0.99 0.995 0.999 0.9995
1 1 3.08 6.31 12.71 31.82 63.66 318.31 636.62
2 0.82 1.89 2.92 4.3 6.96 9.92 22.33 31.6
3 0.76 1.64 2.35 3.18 4.54 5.84 10.21 12.92
4 0.74 1.53 2.13 2.78 3.75 4.6 7.17 8.61
5 0.73 1.48 2.02 2.57 3.36 4.03 5.89 6.87
6 0.72 1.44 1.94 2.45 3.14 3.71 5.21 5.96
7 0.71 1.41 1.89 2.36 3 3.5 4.79 5.41
8 0.71 1.4 1.86 2.31 2.9 3.36 4.5 5.04
9 0.7 1.38 1.83 2.26 2.82 3.25 4.3 4.78
10 0.7 1.37 1.81 2.23 2.76 3.17 4.14 4.59
11 0.7 1.36 1.8 2.2 2.72 3.11 4.02 4.44
12 0.7 1.36 1.78 2.18 2.68 3.05 3.93 4.32
13 0.69 1.35 1.77 2.16 2.65 3.01 3.85 4.22
14 0.69 1.35 1.76 2.14 2.62 2.98 3.79 4.14
15 0.69 1.34 1.75 2.13 2.6 2.95 3.73 4.07
16 0.69 1.34 1.75 2.12 2.58 2.92 3.69 4.01
17 0.69 1.33 1.74 2.11 2.57 2.9 3.65 3.97
18 0.69 1.33 1.73 2.1 2.55 2.88 3.61 3.92
19 0.69 1.33 1.73 2.09 2.54 2.86 3.58 3.88
20 0.69 1.33 1.72 2.09 2.53 2.85 3.55 3.85
21 0.69 1.32 1.72 2.08 2.52 2.83 3.53 3.82
22 0.69 1.32 1.72 2.07 2.51 2.82 3.5 3.79
23 0.69 1.32 1.71 2.07 2.5 2.81 3.48 3.77
24 0.68 1.32 1.71 2.06 2.49 2.8 3.47 3.75
25 0.68 1.32 1.71 2.06 2.49 2.79 3.45 3.73
26 0.68 1.31 1.71 2.06 2.48 2.78 3.43 3.71
27 0.68 1.31 1.7 2.05 2.47 2.77 3.42 3.69
28 0.68 1.31 1.7 2.05 2.47 2.76 3.41 3.67
29 0.68 1.31 1.7 2.05 2.46 2.76 3.4 3.66
30 0.68 1.31 1.7 2.04 2.46 2.75 3.39 3.65
35 0.68 1.31 1.69 2.03 2.44 2.72 3.34 3.59
40 0.68 1.3 1.68 2.02 2.42 2.7 3.31 3.55
45 0.68 1.3 1.68 2.01 2.41 2.69 3.28 3.52
50 0.68 1.3 1.68 2.01 2.4 2.68 3.26 3.5
60 0.68 1.3 1.67 2 2.39 2.66 3.23 3.46
70 0.68 1.29 1.67 1.99 2.38 2.65 3.21 3.44
80 0.68 1.29 1.66 1.99 2.37 2.64 3.2 3.42
90 0.68 1.29 1.66 1.99 2.37 2.63 3.18 3.4
100 0.68 1.29 1.66 1.98 2.36 2.63 3.17 3.39
150 0.68 1.29 1.66 1.98 2.35 2.61 3.15 3.36
200 0.68 1.29 1.65 1.97 2.35 2.6 3.13 3.34
300 0.68 1.28 1.65 1.97 2.34 2.59 3.12 3.32
500 0.67 1.28 1.65 1.96 2.33 2.59 3.11 3.31
1000 0.67 1.28 1.65 1.96 2.33 2.58 3.1 3.3
1,000,000,000 0.67 1.28 1.64 1.96 2.33 2.58 3.09 3.29

Citation

The E-Learning project SOGA-Py was developed at the Department of Earth Sciences by Annette Rudolph, Joachim Krois and Kai Hartmann. 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: Rudolph, A., Krois, J., Hartmann, K. (2023): Statistics and Geodata Analysis using Python (SOGA-Py). Department of Earth Sciences, Freie Universitaet Berlin.