Chi-Square Distribution Table
Chi-Square Distribution Table
The
shaded area is equal to α for χ2 =
χ2 a.
df |
X2.995 |
X2.990 |
X2.975 |
X2.950 |
X2.900 |
X2.100 |
X2.050 |
X2.025 |
X2.010 |
X2.005 |
1 |
0.000 |
0.000 |
0.001 |
0.004 |
0.016 |
2.706 |
3.841 |
5.024 |
6.635 |
7.879 |
2 |
0.010 |
0.020 |
0.051 |
0.103 |
0.211 |
4.605 |
5.991 |
7.378 |
9.210 |
10.597 |
3 |
0.072 |
0.115 |
0.216 |
0.352 |
0.584 |
6.251 |
7.815 |
9.348 |
11.345 |
12.838 |
4 |
0.207 |
0.297 |
0.484 |
0.711 |
1.064 |
7.779 |
9.488 |
11.143 |
13.277 |
14.860 |
5 |
0.412 |
0.554 |
0.831 |
1.145 |
1.610 |
9.236 |
11.070 |
12.833 |
15.086 |
16.750 |
6 |
0.676 |
0.872 |
1.237 |
1.635 |
2.204 |
10.645 |
12.592 |
14.449 |
16.812 |
18.548 |
7 |
0.989 |
1.239 |
1.690 |
2.167 |
2.833 |
12.017 |
14.067 |
16.013 |
18.475 |
20.278 |
8 |
1.344 |
1.646 |
2.180 |
2.733 |
3.490 |
13.362 |
15.507 |
17.535 |
20.090 |
21.955 |
9 |
1.735 |
2.088 |
2.700 |
3.325 |
4.168 |
14.684 |
16.919 |
19.023 |
21.666 |
23.589 |
10 |
2.156 |
2.558 |
3.247 |
3.940 |
4.865 |
15.987 |
18.307 |
20.483 |
23.209 |
25.188 |
11 |
2.603 |
3.053 |
3.816 |
4.575 |
5.578 |
17.275 |
19.675 |
21.920 |
24.725 |
26.757 |
12 |
3.074 |
3.571 |
4.404 |
5.226 |
6.304 |
18.549 |
21.026 |
23.337 |
26.217 |
28.300 |
13 |
3.565 |
4.107 |
5.009 |
5.892 |
7.042 |
19.812 |
22.362 |
24.736 |
27.688 |
29.819 |
14 |
4.075 |
4.660 |
5.629 |
6.571 |
7.790 |
21.064 |
23.685 |
26.119 |
29.141 |
31.319 |
15 |
4.601 |
5.229 |
6.262 |
7.261 |
8.547 |
22.307 |
24.996 |
27.488 |
30.578 |
32.801 |
16 |
5.142 |
5.812 |
6.908 |
7.962 |
9.312 |
23.542 |
26.296 |
28.845 |
32.000 |
34.267 |
17 |
5.697 |
6.408 |
7.564 |
8.672 |
10.085 |
24.769 |
27.587 |
30.191 |
33.409 |
35.718 |
18 |
6.265 |
7.015 |
8.231 |
9.390 |
10.865 |
25.989 |
28.869 |
31.526 |
34.805 |
37.156 |
19 |
6.844 |
7.633 |
8.907 |
10.117 |
11.651 |
27.204 |
30.144 |
32.852 |
36.191 |
38.582 |
20 |
7.434 |
8.260 |
9.591 |
10.851 |
12.443 |
28.412 |
31.410 |
34.170 |
37.566 |
39.997 |
21 |
8.034 |
8.897 |
10.283 |
11.591 |
13.240 |
29.615 |
32.671 |
35.479 |
38.932 |
41.401 |
22 |
8.643 |
9.542 |
10.982 |
12.338 |
14.041 |
30.813 |
33.924 |
36.781 |
40.289 |
42.796 |
23 |
9.260 |
10.196 |
11.689 |
13.091 |
14.848 |
32.007 |
35.172 |
38.076 |
41.638 |
44.181 |
24 |
9.886 |
10.856 |
12.401 |
13.848 |
15.659 |
33.196 |
36.415 |
39.364 |
42.980 |
45.559 |
25 |
10.520 |
11.524 |
13.120 |
14.611 |
16.473 |
34.382 |
37.652 |
40.646 |
44.314 |
46.928 |
26 |
11.160 |
12.198 |
13.844 |
15.379 |
17.292 |
35.563 |
38.885 |
41.923 |
45.642 |
48.290 |
27 |
11.808 |
12.879 |
14.573 |
16.151 |
18.114 |
36.741 |
40.113 |
43.195 |
46.963 |
49.645 |
28 |
12.461 |
13.565 |
15.308 |
16.928 |
18.939 |
37.916 |
41.337 |
44.461 |
48.278 |
50.993 |
29 |
13.121 |
14.256 |
16.047 |
17.708 |
19.768 |
39.087 |
42.557 |
45.722 |
49.588 |
52.336 |
30 |
13.787 |
14.953 |
16.791 |
18.493 |
20.599 |
40.256 |
43.773 |
46.979 |
50.892 |
53.672 |
40 |
20.707 |
22.164 |
24.433 |
26.509 |
29.051 |
51.805 |
55.758 |
59.342 |
63.691 |
66.766 |
50 |
27.991 |
29.707 |
32.357 |
34.764 |
37.689 |
63.167 |
67.505 |
71.420 |
76.154 |
79.490 |
60 |
35.534 |
37.485 |
40.482 |
43.188 |
46.459 |
74.397 |
79.082 |
83.298 |
88.379 |
91.952 |
70 |
43.275 |
45.442 |
48.758 |
51.739 |
55.329 |
85.527 |
90.531 |
95.023 |
100.425 |
104.215 |
80 |
51.172 |
53.540 |
57.153 |
60.391 |
64.278 |
96.578 |
101.879 |
106.629 |
112.329 |
116.321 |
90 |
59.196 |
61.754 |
65.647 |
69.126 |
73.291 |
107.565 |
113.145 |
118.136 |
124.116 |
128.299 |
100 |
67.328 |
70.065 |
74.222 |
77.929 |
82.358 |
118.498 |
124.342 |
129.561 |
135.807 |
140.169 |
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