Ian M George: Statistics Crib Sheets

These pages are unofficial in all respects. They are primarily simply notes to myself. The information is not guaranteed to be correct or up-to-date.

Integrals of a Gaussian

Sigma Probability (%)
1.000 68.269
1.645 90.000
1.960 95.000
2.000 95.449
2.575 99.000
2.810 99.504
3.000 99.730
4.000 99.994
5.000 99.99994

Delta Chi-squared values

# Int.
params
68.3% Prob 90.0% Prob 95.4% Prob 99.0% Prob 99.73% Prob 99.99% Prob
1 1.00 2.71 4.00 6.63 9.00 15.1
2 2.30 4.61 6.17 9.21 11.8 18.4
3 3.53 6.25 8.02 11.3 14.2 21.1
4 4.72 7.78 9.70 13.3 16.3 23.5
5 5.89 9.24 11.3 15.1 18.2 25.7
6 7.04 10.6 12.8 16.8 20.1 27.8
7 8.18
8 9.31
9 10.43
10 11.54
11 12.65
12 13.75
13 14.85
14 15.94
15 17.03

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