Chi Squared table
The numbers in the table represent the values of the χ2χ2 statistics. Areas of the shaded region (A) are the column indexes. You can also use the Chi-Square Distribution to compute critical and p values exactly.
|
df |
A=0.005 |
0.010 |
0.025 |
0.05 |
0.10 |
0.25 |
0.50 |
0.75 |
0.90 |
0.95 |
0.975 |
0.99 |
0.995 |
|
1 |
0.000039 |
0.00016 |
0.00098 |
0.0039 |
0.0158 |
0.102 |
0.455 |
1.32 |
2.71 |
3.84 |
5.02 |
6.63 |
7.88 |
|
2 |
0.0100 |
0.0201 |
0.0506 |
0.103 |
0.211 |
0.575 |
1.39 |
2.77 |
4.61 |
5.99 |
7.38 |
9.21 |
10.6 |
|
3 |
0.0717 |
0.115 |
0.216 |
0.352 |
0.584 |
1.21 |
2.37 |
4.11 |
6.25 |
7.81 |
9.35 |
11.3 |
12.8 |
|
4 |
0.207 |
0.297 |
0.484 |
0.711 |
1.06 |
1.92 |
3.36 |
5.39 |
7.78 |
9.49 |
11.1 |
13.3 |
14.9 |
|
5 |
0.412 |
0.554 |
0.831 |
1.15 |
1.61 |
2.67 |
4.35 |
6.63 |
9.24 |
11.1 |
12.8 |
15.1 |
16.7 |
|
6 |
0.676 |
0.872 |
1.24 |
1.64 |
2.20 |
3.45 |
5.35 |
7.84 |
10.6 |
12.6 |
14.4 |
16.8 |
18.5 |
|
7 |
0.989 |
1.24 |
1.69 |
2.17 |
2.83 |
4.25 |
6.35 |
9.04 |
12.0 |
14.1 |
16.0 |
18.5 |
20.3 |
|
8 |
1.34 |
1.65 |
2.18 |
2.73 |
3.49 |
5.07 |
7.34 |
10.2 |
13.4 |
15.5 |
17.5 |
20.1 |
22.0 |
|
9 |
1.73 |
2.09 |
2.70 |
3.33 |
4.17 |
5.9 |
8.34 |
11.4 |
14.7 |
16.9 |
19.0 |
21.7 |
23.6 |
|
10 |
2.16 |
2.56 |
3.25 |
3.94 |
4.87 |
6.74 |
9.34 |
12.5 |
16.0 |
18.3 |
20.5 |
23.2 |
25.2 |
|
11 |
2.60 |
3.05 |
3.82 |
4.57 |
5.58 |
7.58 |
10.3 |
13.7 |
17.3 |
19.7 |
21.9 |
24.7 |
26.8 |
|
12 |
3.07 |
3.57 |
4.40 |
5.23 |
6.30 |
8.44 |
11.3 |
14.8 |
18.5 |
21.0 |
23.3 |
26.2 |
28.3 |
|
13 |
3.57 |
4.11 |
5.01 |
5.89 |
7.04 |
9.3 |
12.3 |
16.0 |
19.8 |
22.4 |
24.7 |
27.7 |
29.8 |
|
14 |
4.07 |
4.66 |
5.63 |
6.57 |
7.79 |
10.2 |
13.3 |
17.1 |
21.1 |
23.7 |
26.1 |
29.1 |
31.3 |
|
15 |
4.60 |
5.23 |
6.26 |
7.26 |
8.55 |
11.0 |
14.3 |
18.2 |
22.3 |
25.0 |
27.5 |
30.6 |
32.8 |
|
16 |
5.14 |
5.81 |
6.91 |
7.96 |
9.31 |
11.9 |
15.3 |
19.4 |
23.5 |
26.3 |
28.8 |
32.0 |
34.3 |
|
17 |
5.70 |
6.41 |
7.56 |
8.67 |
10.1 |
12.8 |
16.3 |
20.5 |
24.8 |
27.6 |
30.2 |
33.4 |
35.7 |
|
18 |
6.26 |
7.01 |
8.23 |
9.39 |
10.9 |
13.7 |
17.3 |
21.6 |
26.0 |
28.9 |
31.5 |
34.8 |
37.2 |
|
19 |
6.84 |
7.63 |
8.91 |
10.1 |
11.7 |
14.6 |
18.3 |
22.7 |
27.2 |
30.1 |
32.9 |
36.2 |
38.6 |
|
20 |
7.43 |
8.26 |
9.59 |
10.9 |
12.4 |
15.5 |
19.3 |
23.8 |
28.4 |
31.4 |
34.2 |
37.6 |
40.0 |
|
21 |
8.03 |
8.90 |
10.3 |
11.6 |
13.2 |
16.3 |
20.3 |
24.9 |
29.6 |
32.7 |
35.5 |
38.9 |
41.4 |
|
22 |
8.64 |
9.54 |
11.0 |
12.3 |
14.0 |
17.2 |
21.3 |
26.0 |
30.8 |
33.9 |
36.8 |
40.3 |
42.8 |
|
23 |
9.26 |
10.2 |
11.7 |
13.1 |
14.8 |
18.1 |
22.3 |
27.1 |
32.0 |
35.2 |
38.1 |
41.6 |
44.2 |
|
24 |
9.89 |
10.9 |
12.4 |
13.8 |
15.7 |
19.0 |
23.3 |
28.2 |
33.2 |
36.4 |
39.4 |
43.0 |
45.6 |
|
25 |
10.5 |
11.5 |
13.1 |
14.6 |
16.5 |
19.9 |
24.3 |
29.3 |
34.4 |
37.7 |
40.6 |
44.3 |
46.9 |
|
26 |
11.2 |
12.2 |
13.8 |
15.4 |
17.3 |
20.8 |
25.3 |
30.4 |
35.6 |
38.9 |
41.9 |
45.6 |
48.3 |
|
27 |
11.8 |
12.9 |
14.6 |
16.2 |
18.1 |
21.7 |
26.3 |
31.5 |
36.7 |
40.1 |
43.2 |
47.0 |
49.6 |
|
28 |
12.5 |
13.6 |
15.3 |
16.9 |
18.9 |
22.7 |
27.3 |
32.6 |
37.9 |
41.3 |
44.5 |
48.3 |
51.0 |
|
29 |
13.1 |
14.3 |
16.0 |
17.7 |
19.8 |
23.6 |
28.3 |
33.7 |
39.1 |
42.6 |
45.7 |
49.6 |
52.3 |
|
30 |
13.8 |
15.0 |
16.8 |
18.5 |
20.6 |
24.5 |
29.3 |
34.8 |
40.3 |
43.8 |
47.0 |
50.9 |
53.7 |
|
31 |
14.5 |
15.7 |
17.5 |
19.3 |
21.4 |
25.4 |
30.3 |
35.9 |
41.4 |
45.0 |
48.2 |
52.2 |
55.0 |
|
32 |
15.1 |
16.4 |
18.3 |
20.1 |
22.3 |
26.3 |
31.3 |
37.0 |
42.6 |
46.2 |
49.5 |
53.5 |
56.3 |
|
33 |
15.8 |
17.1 |
19.0 |
20.9 |
23.1 |
27.2 |
32.3 |
38.1 |
43.7 |
47.4 |
50.7 |
54.8 |
57.6 |
|
34 |
16.5 |
17.8 |
19.8 |
21.7 |
24.0 |
28.1 |
33.3 |
39.1 |
44.9 |
48.6 |
52.0 |
56.1 |
59.0 |
|
35 |
17.2 |
18.5 |
20.6 |
22.5 |
24.8 |
29.1 |
34.3 |
40.2 |
46.1 |
49.8 |
53.2 |
57.3 |
60.3 |
|
36 |
17.9 |
19.2 |
21.3 |
23.3 |
25.6 |
30.0 |
35.3 |
41.3 |
47.2 |
51.0 |
54.4 |
58.6 |
61.6 |
|
37 |
18.6 |
20.0 |
22.1 |
24.1 |
26.5 |
30.9 |
36.3 |
42.4 |
48.4 |
52.2 |
55.7 |
59.9 |
62.9 |
|
38 |
19.3 |
20.7 |
22.9 |
24.9 |
27.3 |
31.8 |
37.3 |
43.5 |
49.5 |
53.4 |
56.9 |
61.2 |
64.2 |
|
39 |
20.0 |
21.4 |
23.7 |
25.7 |
28.2 |
32.7 |
38.3 |
44.5 |
50.7 |
54.6 |
58.1 |
62.4 |
65.5 |
|
40 |
20.7 |
22.2 |
24.4 |
26.5 |
29.1 |
33.7 |
39.3 |
45.6 |
51.8 |
55.8 |
59.3 |
63.7 |
66.8 |
|
41 |
21.4 |
22.9 |
25.2 |
27.3 |
29.9 |
34.6 |
40.3 |
46.7 |
52.9 |
56.9 |
60.6 |
65.0 |
68.1 |
|
42 |
22.1 |
23.7 |
26.0 |
28.1 |
30.8 |
35.5 |
41.3 |
47.8 |
54.1 |
58.1 |
61.8 |
66.2 |
69.3 |
|
43 |
22.9 |
24.4 |
26.8 |
29.0 |
31.6 |
36.4 |
42.3 |
48.8 |
55.2 |
59.3 |
63.0 |
67.5 |
70.6 |
|
44 |
23.6 |
25.1 |
27.6 |
29.8 |
32.5 |
37.4 |
43.3 |
49.9 |
56.4 |
60.5 |
64.2 |
68.7 |
71.9 |
|
45 |
24.3 |
25.9 |
28.4 |
30.6 |
33.4 |
38.3 |
44.3 |
51.0 |
57.5 |
61.7 |
65.4 |
70.0 |
73.2 |
|
df |
A=0.005 |
0.010 |
0.025 |
0.05 |
0.10 |
0.25 |
0.50 |
0.75 |
0.90 |
0.95 |
0.975 |
0.99 |
0.995 |