Chi-square statistics ( χ2 )i
0.005 0.010 0.025 0.050 0.100 0.900 0.950 0.975 0.990 0.995 df
7.879 6.635 5.024 3.841 2.706 0.016 0.004 0.001 --- --- 1
10.597 9.210 7.378 5.991 4.605 0.211 0.103 0.051 0.020 0.010 2
12.838 11.345 9.348 7.815 6.251 0.584 0.352 0.216 0.115 0.072 3
14.860 13.277 11.143 9.488 7.779 1.064 0.711 0.484 0.297 0.207 4
16.750 15.086 12.833 11.070 9.236 1.610 1.145 0.831 0.554 0.412 5
18.548 16.812 14.449 12.592 10.645 2.204 1.635 1.237 0.872 0.676 6
20.278 18.475 16.013 14.067 12.017 2.833 2.167 1.690 1.239 0.989 7
21.955 20.090 17.535 15.507 13.362 3.490 2.733 2.180 1.646 1.344 8
23.589 21.666 19.023 16.919 14.684 4.168 3.325 2.700 2.088 1.735 9
25.188 23.209 20.483 18.307 15.987 4.865 3.940 3.247 2.558 2.156 10
26.757 24.725 21.920 19.675 17.275 5.578 4.575 3.816 3.053 2.603 11
28.300 26.217 23.337 21.026 18.549 6.304 5.226 4.404 3.571 3.074 12
29.819 27.688 24.736 22.362 19.812 7.042 5.892 5.009 4.107 3.565 13
31.319 29.141 26.119 23.685 21.064 7.790 6.571 5.629 4.660 4.075 14
32.801 30.578 27.488 24.996 22.307 8.547 7.261 6.262 5.229 4.601 15
34.267 32.000 28.845 26.296 23.542 9.312 7.962 6.908 5.812 5.142 16
35.718 33.409 30.191 27.587 24.769 10.085 8.672 7.564 6.408 5.697 17
37.156 34.805 31.526 28.869 25.989 10.865 9.390 8.231 7.015 6.265 18
38.582 36.191 32.852 30.144 27.204 11.651 10.117 8.907 7.633 6.844 19
39.997 37.566 34.170 31.410 28.412 12.443 10.851 9.591 8.260 7.434 20
41.401 38.932 35.479 32.671 29.615 13.240 11.591 10.283 8.897 8.034 21
42.796 40.289 36.781 33.924 30.813 14.041 12.338 10.982 9.542 8.643 22
44.181 41.638 38.076 35.172 32.007 14.848 13.091 11.689 10.196 9.260 23
45.559 42.980 39.364 36.415 33.196 15.659 13.848 12.401 10.856 9.886 24
46.928 44.314 40.646 37.652 34.382 16.473 14.611 13.120 11.524 10.520 25
48.290 45.642 41.923 38.885 35.563 17.292 15.379 13.844 12.198 11.160 26
49.645 46.963 43.195 40.113 36.741 18.114 16.151 14.573 12.879 11.808 27
50.993 48.278 44.461 41.337 37.916 18.939 16.928 15.308 13.565 12.461 28
52.336 49.588 45.722 42.557 39.087 19.768 17.708 16.047 14.256 13.121 29
53.672 50.892 46.979 43.773 40.256 20.599 18.493 16.791 14.953 13.787 30
66.766 63.691 59.342 55.758 51.805 29.051 26.509 24.433 22.164 20.707 40
79.490 76.154 71.420 67.505 63.167 37.689 34.764 32.357 29.707 27.991 50
91.952 88.379 83.298 79.082 74.397 46.459 43.188 40.482 37.485 35.534 60
104.215 100.425 95.023 90.531 85.527 55.329 51.739 48.758 45.442 43.275 70
116.321 112.329 106.629 101.879 96.578 64.278 60.391 57.153 53.540 51.172 80
128.299 124.116 118.136 113.145 107.565 73.291 69.126 65.647 61.754 59.196 90
140.169 135.807 129.561 124.342 118.498 82.358 77.929 74.222 70.065 67.328 100