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Chi-square distribution table

From OPOSSEM

The following table consists of critical values of the chi-square (χ²) distribution for selected confidence levels (90%, 95%, and 99%) between 1 and 100 degrees of freedom. To use this table, identify the column with the appropriate confidence level and then find the row with the number of degrees of freedom appropriate for the statistical test; for example, in the chi-square test of association for two-way tables, <math>\text{df} = (r-1)\times(c-1)</math> where r and c are the number of rows and columns in the table, respectively.

df 90% 95% 99%
1 2.706 3.841 6.635
2 4.605 5.991 9.210
3 6.251 7.815 11.345
4 7.779 9.488 13.277
5 9.236 11.070 15.086
6 10.645 12.592 16.812
7 12.017 14.067 18.475
8 13.362 15.507 20.090
9 14.684 16.919 21.666
10 15.987 18.307 23.209
11 17.275 19.675 24.725
12 18.549 21.026 26.217
13 19.812 22.362 27.688
14 21.064 23.685 29.141
15 22.307 24.996 30.578
16 23.542 26.296 32.000
17 24.769 27.587 33.409
18 25.989 28.869 34.805
19 27.204 30.144 36.191
20 28.412 31.410 37.566
21 29.615 32.671 38.932
22 30.813 33.924 40.289
23 32.007 35.172 41.638
24 33.196 36.415 42.980
25 34.382 37.652 44.314
26 35.563 38.885 45.642
27 36.741 40.113 46.963
28 37.916 41.337 48.278
29 39.087 42.557 49.588
30 40.256 43.773 50.892
31 41.422 44.985 52.191
32 42.585 46.194 53.486
33 43.745 47.400 54.776
34 44.903 48.602 56.061
35 46.059 49.802 57.342
36 47.212 50.998 58.619
37 48.363 52.192 59.893
38 49.513 53.384 61.162
39 50.660 54.572 62.428
40 51.805 55.758 63.691
41 52.949 56.942 64.950
42 54.090 58.124 66.206
43 55.230 59.304 67.459
44 56.369 60.481 68.710
45 57.505 61.656 69.957
46 58.641 62.830 71.201
47 59.774 64.001 72.443
48 60.907 65.171 73.683
49 62.038 66.339 74.919
50 63.167 67.505 76.154
51 64.295 68.669 77.386
52 65.422 69.832 78.616
53 66.548 70.993 79.843
54 67.673 72.153 81.069
55 68.796 73.311 82.292
56 69.919 74.468 83.513
57 71.040 75.624 84.733
58 72.160 76.778 85.950
59 73.279 77.931 87.166
60 74.397 79.082 88.379
61 75.514 80.232 89.591
62 76.630 81.381 90.802
63 77.745 82.529 92.010
64 78.860 83.675 93.217
65 79.973 84.821 94.422
66 81.085 85.965 95.626
67 82.197 87.108 96.828
68 83.308 88.250 98.028
69 84.418 89.391 99.228
70 85.527 90.531 100.425
71 86.635 91.670 101.621
72 87.743 92.808 102.816
73 88.850 93.945 104.010
74 89.956 95.081 105.202
75 91.061 96.217 106.393
76 92.166 97.351 107.583
77 93.270 98.484 108.771
78 94.374 99.617 109.958
79 95.476 100.749 111.144
80 96.578 101.879 112.329
81 97.680 103.010 113.512
82 98.780 104.139 114.695
83 99.880 105.267 115.876
84 100.980 106.395 117.057
85 102.079 107.522 118.236
86 103.177 108.648 119.414
87 104.275 109.773 120.591
88 105.372 110.898 121.767
89 106.469 112.022 122.942
90 107.565 113.145 124.116
91 108.661 114.268 125.289
92 109.756 115.390 126.462
93 110.850 116.511 127.633
94 111.944 117.632 128.803
95 113.038 118.752 129.973
96 114.131 119.871 131.141
97 115.223 120.990 132.309
98 116.315 122.108 133.476
99 117.407 123.225 134.642
100 118.498 124.342 135.807