Distribución $\chi^2$ de Pearson
Abscisas $\chi_{n,\alpha}^2$ que deixan á súa dereita un área $\alpha$
nunha $\chi^2$ con $n$ graos de liberdade
$\displaystyle \int_{\chi_{n,\alpha}^2}^\infty c_n\, x^{n/2-1}e^{-x/2}\,dx=\alpha$
0.450 | 0.500 | 0.550 | 0.600 | 0.650 | 0.700 | 0.750 | 0.800 | 0.850 | 0.900 | 0.950 | 0.975 | 0.980 | 0.990 | 0.995 | |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1 | 0.5707 | 0.4549 | 0.3573 | 0.2750 | 0.2059 | 0.1485 | 0.1015 | 0.0642 | 0.0358 | 0.0158 | 0.0039 | 0.0010 | 0.0006 | 0.0002 | 0.0000 |
2 | 1.5970 | 1.3863 | 1.1957 | 1.0217 | 0.8616 | 0.7133 | 0.5754 | 0.4463 | 0.3250 | 0.2107 | 0.1026 | 0.0506 | 0.0404 | 0.0201 | 0.0100 |
3 | 2.6430 | 2.3660 | 2.1095 | 1.8692 | 1.6416 | 1.4237 | 1.2125 | 1.0052 | 0.7978 | 0.5844 | 0.3518 | 0.2158 | 0.1848 | 0.1148 | 0.0717 |
4 | 3.6871 | 3.3567 | 3.0469 | 2.7528 | 2.4701 | 2.1947 | 1.9226 | 1.6488 | 1.3665 | 1.0636 | 0.7107 | 0.4844 | 0.4294 | 0.2971 | 0.2070 |
5 | 4.7278 | 4.3515 | 3.9959 | 3.6555 | 3.3251 | 2.9999 | 2.6746 | 2.3425 | 1.9938 | 1.6103 | 1.1455 | 0.8312 | 0.7519 | 0.5543 | 0.4117 |
6 | 5.7652 | 5.3481 | 4.9519 | 4.5702 | 4.1973 | 3.8276 | 3.4546 | 3.0701 | 2.6613 | 2.2041 | 1.6354 | 1.2373 | 1.1344 | 0.8721 | 0.6757 |
7 | 6.8000 | 6.3458 | 5.9125 | 5.4932 | 5.0816 | 4.6713 | 4.2549 | 3.8223 | 3.3583 | 2.8331 | 2.1673 | 1.6899 | 1.5643 | 1.2390 | 0.9893 |
8 | 7.8325 | 7.3441 | 6.8766 | 6.4226 | 5.9753 | 5.5274 | 5.0706 | 4.5936 | 4.0782 | 3.4895 | 2.7326 | 2.1797 | 2.0325 | 1.6465 | 1.3444 |
9 | 8.8632 | 8.3428 | 7.8434 | 7.3570 | 6.8763 | 6.3933 | 5.8988 | 5.3801 | 4.8165 | 4.1682 | 3.3251 | 2.7004 | 2.5324 | 2.0879 | 1.7349 |
10 | 9.8922 | 9.3418 | 8.8124 | 8.2955 | 7.7832 | 7.2672 | 6.7372 | 6.1791 | 5.5701 | 4.8652 | 3.9403 | 3.2470 | 3.0591 | 2.5582 | 2.1559 |
11 | 10.919 | 10.341 | 9.7831 | 9.2373 | 8.6952 | 8.1479 | 7.5841 | 6.9887 | 6.3364 | 5.5778 | 4.5748 | 3.8157 | 3.6087 | 3.0535 | 2.6032 |
12 | 11.946 | 11.340 | 10.755 | 10.182 | 9.6115 | 9.0343 | 8.4384 | 7.8073 | 7.1138 | 6.3038 | 5.2260 | 4.4038 | 4.1783 | 3.5706 | 3.0738 |
13 | 12.971 | 12.339 | 11.728 | 11.129 | 10.531 | 9.9257 | 9.2991 | 8.6339 | 7.9008 | 7.0415 | 5.8919 | 5.0088 | 4.7654 | 4.1069 | 3.5650 |
14 | 13.996 | 13.339 | 12.703 | 12.078 | 11.454 | 10.821 | 10.165 | 9.4673 | 8.6963 | 7.7895 | 6.5706 | 5.6287 | 5.3682 | 4.6604 | 4.0747 |
15 | 15.019 | 14.338 | 13.679 | 13.029 | 12.380 | 11.721 | 11.036 | 10.307 | 9.4993 | 8.5468 | 7.2609 | 6.2621 | 5.9849 | 5.2293 | 4.6009 |
16 | 16.042 | 15.338 | 14.655 | 13.982 | 13.309 | 12.624 | 11.912 | 11.152 | 10.309 | 9.3122 | 7.9616 | 6.9077 | 6.6142 | 5.8122 | 5.1422 |
17 | 17.064 | 16.338 | 15.632 | 14.937 | 14.240 | 13.530 | 12.791 | 12.002 | 11.124 | 10.085 | 8.6718 | 7.5642 | 7.2550 | 6.4078 | 5.6972 |
18 | 18.086 | 17.337 | 16.610 | 15.893 | 15.173 | 14.439 | 13.675 | 12.857 | 11.946 | 10.864 | 9.3905 | 8.2307 | 7.9062 | 7.0149 | 6.2648 |
19 | 19.106 | 18.337 | 17.589 | 16.850 | 16.108 | 15.351 | 14.562 | 13.715 | 12.772 | 11.650 | 10.117 | 8.9065 | 8.5670 | 7.6327 | 6.8440 |
20 | 20.127 | 19.337 | 18.568 | 17.808 | 17.045 | 16.265 | 15.451 | 14.578 | 13.603 | 12.442 | 10.850 | 9.5908 | 9.2367 | 8.2604 | 7.4338 |
21 | 21.147 | 20.337 | 19.548 | 18.768 | 17.984 | 17.182 | 16.344 | 15.444 | 14.439 | 13.239 | 11.591 | 10.282 | 9.9146 | 8.8972 | 8.0337 |
22 | 22.166 | 21.337 | 20.528 | 19.728 | 18.924 | 18.100 | 17.239 | 16.314 | 15.278 | 14.041 | 12.338 | 10.982 | 10.600 | 9.5425 | 8.6427 |
23 | 23.185 | 22.336 | 21.509 | 20.690 | 19.865 | 19.021 | 18.137 | 17.186 | 16.121 | 14.848 | 13.090 | 11.688 | 11.292 | 10.195 | 9.2604 |
24 | 24.203 | 23.336 | 22.490 | 21.652 | 20.808 | 19.943 | 19.037 | 18.061 | 16.968 | 15.658 | 13.848 | 12.401 | 11.991 | 10.856 | 9.8862 |
25 | 25.221 | 24.336 | 23.472 | 22.615 | 21.752 | 20.867 | 19.939 | 18.939 | 17.818 | 16.473 | 14.611 | 13.119 | 12.697 | 11.524 | 10.519 |
26 | 26.239 | 25.336 | 24.454 | 23.579 | 22.697 | 21.792 | 20.843 | 19.820 | 18.671 | 17.291 | 15.379 | 13.843 | 13.408 | 12.198 | 11.160 |
27 | 27.256 | 26.336 | 25.436 | 24.544 | 23.643 | 22.719 | 21.749 | 20.703 | 19.527 | 18.113 | 16.151 | 14.573 | 14.125 | 12.878 | 11.807 |
28 | 28.274 | 27.336 | 26.419 | 25.509 | 24.590 | 23.647 | 22.657 | 21.588 | 20.385 | 18.939 | 16.927 | 15.307 | 14.847 | 13.564 | 12.461 |
29 | 29.290 | 28.336 | 27.402 | 26.475 | 25.539 | 24.577 | 23.566 | 22.475 | 21.246 | 19.767 | 17.708 | 16.047 | 15.574 | 14.256 | 13.121 |
30 | 30.307 | 29.336 | 28.385 | 27.441 | 26.488 | 25.507 | 24.477 | 23.364 | 22.110 | 20.599 | 18.492 | 16.790 | 16.306 | 14.953 | 13.786 |
31 | 31.323 | 30.335 | 29.369 | 28.408 | 27.438 | 26.439 | 25.390 | 24.255 | 22.976 | 21.433 | 19.280 | 17.538 | 17.042 | 15.655 | 14.457 |
32 | 32.339 | 31.335 | 30.353 | 29.376 | 28.388 | 27.372 | 26.304 | 25.147 | 23.844 | 22.270 | 20.071 | 18.290 | 17.782 | 16.362 | 15.134 |
33 | 33.355 | 32.335 | 31.337 | 30.344 | 29.340 | 28.306 | 27.219 | 26.042 | 24.714 | 23.110 | 20.866 | 19.046 | 18.527 | 17.073 | 15.815 |
34 | 34.370 | 33.335 | 32.321 | 31.313 | 30.292 | 29.242 | 28.136 | 26.938 | 25.586 | 23.952 | 21.664 | 19.806 | 19.275 | 17.789 | 16.501 |
35 | 35.385 | 34.335 | 33.306 | 32.282 | 31.245 | 30.178 | 29.054 | 27.835 | 26.460 | 24.796 | 22.465 | 20.569 | 20.027 | 18.508 | 17.191 |
40 | 40.458 | 39.335 | 38.232 | 37.134 | 36.020 | 34.871 | 33.660 | 32.345 | 30.856 | 29.050 | 26.509 | 24.433 | 23.837 | 22.164 | 20.706 |
60 | 60.712 | 59.334 | 57.977 | 56.620 | 55.239 | 53.809 | 52.293 | 50.640 | 48.758 | 46.458 | 43.188 | 40.481 | 39.699 | 37.484 | 35.534 |
80 | 80.926 | 79.334 | 77.763 | 76.187 | 74.582 | 72.915 | 71.144 | 69.206 | 66.993 | 64.277 | 60.391 | 57.153 | 56.212 | 53.540 | 51.171 |
90 | 91.023 | 89.334 | 87.666 | 85.992 | 84.285 | 82.511 | 80.624 | 78.558 | 76.195 | 73.291 | 69.126 | 65.646 | 64.634 | 61.754 | 59.196 |
100 | 101.11 | 99.334 | 97.574 | 95.807 | 94.004 | 92.128 | 90.133 | 87.945 | 85.440 | 82.358 | 77.929 | 74.221 | 73.142 | 70.064 | 67.327 |
120 | 121.28 | 119.33 | 117.40 | 115.46 | 113.48 | 111.41 | 109.21 | 106.80 | 104.03 | 100.62 | 95.704 | 91.572 | 90.366 | 86.923 | 83.851 |
140 | 141.44 | 139.33 | 137.24 | 135.14 | 133.00 | 130.76 | 128.38 | 125.75 | 122.74 | 119.02 | 113.65 | 109.13 | 107.81 | 104.03 | 100.65 |
0.450 | 0.500 | 0.550 | 0.600 | 0.650 | 0.700 | 0.750 | 0.800 | 0.850 | 0.900 | 0.950 | 0.975 | 0.980 | 0.990 | 0.995 |