χ2 분포표; Pr[X χ2 α]
| df | α |
| 0.9995 | 0.999 | 0.995 | 0.99 | 0.975 | 0.95 | 0.900 | 0.800 |
| 1 | 0.000 | 0.000 | 0.000 | 0.000 | 0.001 | 0.004 | 0.016 | 0.064 |
| 2 | 0.001 | 0.002 | 0.010 | 0.020 | 0.051 | 0.103 | 0.211 | 0.446 |
| 3 | 0.015 | 0.024 | 0.072 | 0.115 | 0.216 | 0.352 | 0.584 | 1.005 |
| 4 | 0.064 | 0.091 | 0.207 | 0.297 | 0.484 | 0.711 | 1.064 | 1.649 |
| 5 | 0.158 | 0.210 | 0.412 | 0.554 | 0.831 | 1.145 | 1.610 | 2.343 |
| 6 | 0.299 | 0.381 | 0.676 | 0.872 | 1.237 | 1.635 | 2.204 | 3.070 |
| 7 | 0.485 | 0.598 | 0.989 | 1.239 | 1.690 | 2.167 | 2.833 | 3.822 |
| 8 | 0.710 | 0.857 | 1.344 | 1.646 | 2.180 | 2.733 | 3.490 | 4.594 |
| 9 | 0.972 | 1.152 | 1.735 | 2.088 | 2.700 | 3.325 | 4.168 | 5.380 |
| 10 | 1.265 | 1.479 | 2.156 | 2.558 | 3.247 | 3.940 | 4.865 | 6.179 |
| 11 | 1.587 | 1.834 | 2.603 | 3.053 | 3.816 | 4.575 | 5.578 | 6.989 |
| 12 | 1.934 | 2.214 | 3.074 | 3.571 | 4.404 | 5.226 | 6.304 | 7.807 |
| 13 | 2.305 | 2.617 | 3.565 | 4.107 | 5.009 | 5.892 | 7.042 | 8.634 |
| 14 | 2.697 | 3.041 | 4.075 | 4.660 | 5.629 | 6.571 | 7.790 | 9.467 |
| 15 | 3.108 | 3.483 | 4.601 | 5.229 | 6.262 | 7.261 | 8.547 | 10.307 |
| 16 | 3.536 | 3.942 | 5.142 | 5.812 | 6.908 | 7.962 | 9.312 | 11.152 |
| 17 | 3.980 | 4.416 | 5.697 | 6.408 | 7.564 | 8.672 | 10.085 | 12.002 |
| 18 | 4.439 | 4.905 | 6.265 | 7.015 | 8.231 | 9.390 | 10.865 | 12.857 |
| 19 | 4.912 | 5.407 | 6.844 | 7.633 | 8.907 | 10.117 | 11.651 | 13.716 |
| 20 | 5.398 | 5.921 | 7.434 | 8.260 | 9.591 | 10.851 | 12.443 | 14.578 |
| 21 | 5.896 | 6.447 | 8.034 | 8.897 | 10.283 | 11.591 | 13.240 | 15.445 |
| 22 | 6.404 | 6.983 | 8.643 | 9.542 | 10.982 | 12.338 | 14.041 | 16.314 |
| 23 | 6.924 | 7.529 | 9.260 | 10.196 | 11.689 | 13.091 | 14.848 | 17.187 |
| 24 | 7.453 | 8.085 | 9.886 | 10.856 | 12.401 | 13.848 | 15.659 | 18.062 |
| 25 | 7.991 | 8.649 | 10.520 | 11.524 | 13.120 | 14.611 | 16.473 | 18.940 |
| 26 | 8.538 | 9.222 | 11.160 | 12.198 | 13.844 | 15.379 | 17.292 | 19.820 |
| 27 | 9.093 | 9.803 | 11.808 | 12.879 | 14.573 | 16.151 | 18.114 | 20.703 |
| 28 | 9.656 | 10.391 | 12.461 | 13.565 | 15.308 | 16.928 | 18.939 | 21.588 |
| 29 | 10.227 | 10.986 | 13.121 | 14.256 | 16.047 | 17.708 | 19.768 | 22.475 |
| 30 | 10.804 | 11.588 | 13.787 | 14.953 | 16.791 | 18.493 | 20.599 | 23.364 |
| 40 | 16.906 | 17.916 | 20.707 | 22.164 | 24.433 | 26.509 | 29.051 | 32.345 |
| 50 | 23.461 | 24.674 | 27.991 | 29.707 | 32.357 | 34.764 | 37.689 | 41.449 |
| 60 | 30.340 | 31.738 | 35.534 | 37.485 | 40.482 | 43.188 | 46.459 | 50.641 |
| 70 | 37.467 | 39.036 | 43.275 | 45.442 | 48.758 | 51.739 | 55.329 | 59.898 |
| 80 | 44.791 | 46.520 | 51.172 | 53.540 | 57.153 | 60.391 | 64.278 | 69.207 |
| 100 | 59.896 | 61.918 | 67.328 | 70.065 | 74.222 | 77.929 | 82.358 | 87.945 |
χ2 분포표; Pr[X χ2 α]
| df | α |
| 0.200 | 0.100 | 0.050 | 0.025 | 0.010 | 0.005 | 0.001 | 0.0005 |
| 1 | 1.642 | 2.706 | 3.841 | 5.024 | 6.635 | 7.879 | 10.828 | 12.116 |
| 2 | 3.219 | 4.605 | 5.991 | 7.378 | 9.210 | 10.597 | 13.816 | 15.202 |
| 3 | 4.642 | 6.251 | 7.815 | 9.348 | 11.345 | 12.838 | 16.266 | 17.730 |
| 4 | 5.989 | 7.779 | 9.488 | 11.143 | 13.277 | 14.860 | 18.467 | 19.997 |
| 5 | 7.289 | 9.236 | 11.070 | 12.833 | 15.086 | 16.750 | 20.515 | 22.105 |
| 6 | 8.558 | 10.645 | 12.592 | 14.449 | 16.812 | 18.548 | 22.458 | 24.103 |
| 7 | 9.803 | 12.017 | 14.067 | 16.013 | 18.475 | 20.278 | 24.322 | 26.018 |
| 8 | 11.030 | 13.362 | 15.507 | 17.535 | 20.090 | 21.955 | 26.124 | 27.868 |
| 9 | 12.242 | 14.684 | 16.919 | 19.023 | 21.666 | 23.589 | 27.877 | 29.666 |
| 10 | 13.442 | 15.987 | 18.307 | 20.483 | 23.209 | 25.188 | 29.588 | 31.420 |
| 11 | 14.631 | 17.275 | 19.675 | 21.920 | 24.725 | 26.757 | 31.264 | 33.137 |
| 12 | 15.812 | 18.549 | 21.026 | 23.337 | 26.217 | 28.300 | 32.909 | 34.821 |
| 13 | 16.985 | 19.812 | 22.362 | 24.736 | 27.688 | 29.819 | 34.528 | 36.478 |
| 14 | 18.151 | 21.064 | 23.685 | 26.119 | 29.141 | 31.319 | 36.123 | 38.109 |
| 15 | 19.311 | 22.307 | 24.996 | 27.488 | 30.578 | 32.801 | 37.697 | 39.719 |
| 16 | 20.465 | 23.542 | 26.296 | 28.845 | 32.000 | 34.267 | 39.252 | 41.308 |
| 17 | 21.615 | 24.769 | 27.587 | 30.191 | 33.409 | 35.718 | 40.790 | 42.879 |
| 18 | 22.760 | 25.989 | 28.869 | 31.526 | 34.805 | 37.156 | 42.312 | 44.434 |
| 19 | 23.900 | 27.204 | 30.144 | 32.852 | 36.191 | 38.582 | 43.820 | 45.973 |
| 20 | 25.038 | 28.412 | 31.410 | 34.170 | 37.566 | 39.997 | 45.315 | 47.498 |
| 21 | 26.171 | 29.615 | 32.671 | 35.479 | 38.932 | 41.401 | 46.797 | 49.011 |
| 22 | 27.301 | 30.813 | 33.924 | 36.781 | 40.289 | 42.796 | 48.268 | 50.511 |
| 23 | 28.429 | 32.007 | 35.172 | 38.076 | 41.638 | 44.181 | 49.728 | 52.000 |
| 24 | 29.553 | 33.196 | 36.415 | 39.364 | 42.980 | 45.559 | 51.179 | 53.479 |
| 25 | 30.675 | 34.382 | 37.652 | 40.646 | 44.314 | 46.928 | 52.620 | 54.947 |
| 26 | 31.795 | 35.563 | 38.885 | 41.923 | 45.642 | 48.290 | 54.052 | 56.407 |
| 27 | 32.912 | 36.741 | 40.113 | 43.195 | 46.963 | 49.645 | 55.476 | 57.858 |
| 28 | 34.027 | 37.916 | 41.337 | 44.461 | 48.278 | 50.993 | 56.892 | 59.300 |
| 29 | 35.139 | 39.087 | 42.557 | 45.722 | 49.588 | 52.336 | 58.301 | 60.735 |
| 30 | 36.250 | 40.256 | 43.773 | 46.979 | 50.892 | 53.672 | 59.703 | 62.162 |
| 40 | 47.269 | 51.805 | 55.758 | 59.342 | 63.691 | 66.766 | 73.402 | 76.095 |
| 50 | 58.164 | 63.167 | 67.505 | 71.420 | 76.154 | 79.490 | 86.661 | 89.561 |
| 60 | 68.972 | 74.397 | 79.082 | 83.298 | 88.379 | 91.952 | 99.607 | 102.695 |
| 70 | 79.715 | 85.527 | 90.531 | 95.023 | 100.425 | 104.215 | 112.317 | 115.578 |
| 80 | 90.405 | 96.578 | 101.879 | 106.629 | 112.329 | 116.321 | 124.839 | 128.261 |
| 100 | 111.667 | 118.498 | 124.342 | 129.561 | 135.807 | 140.169 | 149.449 | 153.167 |