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E Table de la loi de Khi-deux \(\chi^2\)

\(X\) étant une variable aléatoire de loi de \(\chi^2\) à \(n\) degrés de liberté et \(\alpha\) un réel de \([0,1]\), la table donne la valeur de \(z_{n,1-\alpha} = F_{\chi_n^2}^{-1}(1-\alpha)\) telle que \(P(X > z_{n,1-\alpha})=\alpha\). En , la commande correspondante est qchisq(1-alpha, n).

\(n \backslash \alpha\) 0.995 0.99 0.975 0.95 0.9 0.8 0.7 0.5 0.3 0.2 0.1 0.05 0.025 0.01 0.005 0.001
1 0.000 0.000 0.001 0.004 0.016 0.064 0.148 0.455 1.07 1.64 2.71 3.84 5.02 6.63 7.88 10.8
2 0.010 0.020 0.051 0.103 0.211 0.446 0.713 1.386 2.41 3.22 4.61 5.99 7.38 9.21 10.60 13.8
3 0.072 0.115 0.216 0.352 0.584 1.005 1.424 2.366 3.66 4.64 6.25 7.82 9.35 11.35 12.84 16.3
4 0.207 0.297 0.484 0.711 1.064 1.649 2.195 3.357 4.88 5.99 7.78 9.49 11.14 13.28 14.86 18.5
5 0.412 0.554 0.831 1.145 1.610 2.343 3.000 4.351 6.06 7.29 9.24 11.07 12.83 15.09 16.75 20.5
6 0.676 0.872 1.237 1.635 2.204 3.070 3.828 5.348 7.23 8.56 10.64 12.59 14.45 16.81 18.55 22.5
7 0.989 1.239 1.690 2.167 2.833 3.822 4.671 6.346 8.38 9.80 12.02 14.07 16.01 18.48 20.28 24.3
8 1.344 1.646 2.180 2.733 3.490 4.594 5.527 7.344 9.52 11.03 13.36 15.51 17.54 20.09 21.95 26.1
9 1.735 2.088 2.700 3.325 4.168 5.380 6.393 8.343 10.66 12.24 14.68 16.92 19.02 21.67 23.59 27.9
10 2.156 2.558 3.247 3.940 4.865 6.179 7.267 9.342 11.78 13.44 15.99 18.31 20.48 23.21 25.19 29.6
11 2.603 3.053 3.816 4.575 5.578 6.989 8.148 10.341 12.90 14.63 17.27 19.68 21.92 24.73 26.76 31.3
12 3.074 3.571 4.404 5.226 6.304 7.807 9.034 11.340 14.01 15.81 18.55 21.03 23.34 26.22 28.30 32.9
13 3.565 4.107 5.009 5.892 7.042 8.634 9.926 12.340 15.12 16.98 19.81 22.36 24.74 27.69 29.82 34.5
14 4.075 4.660 5.629 6.571 7.790 9.467 10.821 13.339 16.22 18.15 21.06 23.68 26.12 29.14 31.32 36.1
15 4.601 5.229 6.262 7.261 8.547 10.307 11.721 14.339 17.32 19.31 22.31 25.00 27.49 30.58 32.80 37.7
16 5.142 5.812 6.908 7.962 9.312 11.152 12.624 15.338 18.42 20.46 23.54 26.30 28.84 32.00 34.27 39.3
17 5.697 6.408 7.564 8.672 10.085 12.002 13.531 16.338 19.51 21.61 24.77 27.59 30.19 33.41 35.72 40.8
18 6.265 7.015 8.231 9.390 10.865 12.857 14.440 17.338 20.60 22.76 25.99 28.87 31.53 34.80 37.16 42.3
19 6.844 7.633 8.907 10.117 11.651 13.716 15.352 18.338 21.69 23.90 27.20 30.14 32.85 36.19 38.58 43.8
20 7.434 8.260 9.591 10.851 12.443 14.578 16.266 19.337 22.77 25.04 28.41 31.41 34.17 37.57 40.00 45.3
21 8.034 8.897 10.283 11.591 13.240 15.445 17.182 20.337 23.86 26.17 29.61 32.67 35.48 38.93 41.40 46.8
22 8.643 9.542 10.982 12.338 14.041 16.314 18.101 21.337 24.94 27.30 30.81 33.92 36.78 40.29 42.80 48.3
23 9.260 10.196 11.689 13.091 14.848 17.187 19.021 22.337 26.02 28.43 32.01 35.17 38.08 41.64 44.18 49.7
24 9.886 10.856 12.401 13.848 15.659 18.062 19.943 23.337 27.10 29.55 33.20 36.41 39.36 42.98 45.56 51.2
25 10.520 11.524 13.120 14.611 16.473 18.940 20.867 24.337 28.17 30.68 34.38 37.65 40.65 44.31 46.93 52.6
26 11.160 12.198 13.844 15.379 17.292 19.820 21.792 25.336 29.25 31.80 35.56 38.88 41.92 45.64 48.29 54.1
27 11.808 12.879 14.573 16.151 18.114 20.703 22.719 26.336 30.32 32.91 36.74 40.11 43.20 46.96 49.65 55.5
28 12.461 13.565 15.308 16.928 18.939 21.588 23.647 27.336 31.39 34.03 37.92 41.34 44.46 48.28 50.99 56.9
29 13.121 14.256 16.047 17.708 19.768 22.475 24.577 28.336 32.46 35.14 39.09 42.56 45.72 49.59 52.34 58.3
30 13.787 14.953 16.791 18.493 20.599 23.364 25.508 29.336 33.53 36.25 40.26 43.77 46.98 50.89 53.67 59.7
31 14.458 15.655 17.539 19.281 21.434 24.255 26.440 30.336 34.60 37.36 41.42 44.98 48.23 52.19 55.00 61.1
32 15.134 16.362 18.291 20.072 22.271 25.148 27.373 31.336 35.66 38.47 42.59 46.19 49.48 53.49 56.33 62.5
33 15.815 17.074 19.047 20.867 23.110 26.042 28.307 32.336 36.73 39.57 43.74 47.40 50.73 54.78 57.65 63.9
34 16.501 17.789 19.806 21.664 23.952 26.938 29.242 33.336 37.80 40.68 44.90 48.60 51.97 56.06 58.96 65.2
35 17.192 18.509 20.569 22.465 24.797 27.836 30.178 34.336 38.86 41.78 46.06 49.80 53.20 57.34 60.27 66.6
36 17.887 19.233 21.336 23.269 25.643 28.735 31.115 35.336 39.92 42.88 47.21 51.00 54.44 58.62 61.58 68.0
37 18.586 19.960 22.106 24.075 26.492 29.635 32.053 36.336 40.98 43.98 48.36 52.19 55.67 59.89 62.88 69.3
38 19.289 20.691 22.878 24.884 27.343 30.537 32.992 37.335 42.05 45.08 49.51 53.38 56.90 61.16 64.18 70.7
39 19.996 21.426 23.654 25.695 28.196 31.441 33.932 38.335 43.10 46.17 50.66 54.57 58.12 62.43 65.48 72.1
40 20.707 22.164 24.433 26.509 29.051 32.345 34.872 39.335 44.16 47.27 51.80 55.76 59.34 63.69 66.77 73.4
41 21.421 22.906 25.215 27.326 29.907 33.251 35.813 40.335 45.22 48.36 52.95 56.94 60.56 64.95 68.05 74.7
42 22.138 23.650 25.999 28.144 30.765 34.157 36.755 41.335 46.28 49.46 54.09 58.12 61.78 66.21 69.34 76.1
43 22.859 24.398 26.785 28.965 31.625 35.065 37.698 42.335 47.34 50.55 55.23 59.30 62.99 67.46 70.62 77.4
44 23.584 25.148 27.575 29.787 32.487 35.974 38.641 43.335 48.40 51.64 56.37 60.48 64.20 68.71 71.89 78.8
45 24.311 25.901 28.366 30.612 33.350 36.884 39.585 44.335 49.45 52.73 57.51 61.66 65.41 69.96 73.17 80.1
46 25.041 26.657 29.160 31.439 34.215 37.795 40.529 45.335 50.51 53.82 58.64 62.83 66.62 71.20 74.44 81.4
47 25.775 27.416 29.956 32.268 35.081 38.708 41.474 46.335 51.56 54.91 59.77 64.00 67.82 72.44 75.70 82.7
48 26.511 28.177 30.755 33.098 35.949 39.621 42.420 47.335 52.62 55.99 60.91 65.17 69.02 73.68 76.97 84.0
49 27.249 28.941 31.555 33.930 36.818 40.534 43.366 48.335 53.67 57.08 62.04 66.34 70.22 74.92 78.23 85.4
50 27.991 29.707 32.357 34.764 37.689 41.449 44.313 49.335 54.72 58.16 63.17 67.50 71.42 76.15 79.49 86.7