Appendix 4. Distribution of chi
2
This table gives percentage points of the chi-square distribution with n degrees of freedom. These are the values of chi 2 for which a given percentage, P, of the chi-square distribution is greater than chi 2.
|
Percentage (P) |
||||||||
|
Degree of freedom (n ) |
97.5 |
95 |
50 |
10 |
5 |
2.5 |
1 |
0.1 |
|
1 |
.000982 |
.00393 |
0.45 |
2.71 |
3.841 |
5.02 |
6.64 |
10.8 |
|
2 |
0.0506 |
0.103 |
1.39 |
4.61 |
5.99 |
7.38 |
9.21 |
13.8 |
|
3 |
0.216 |
0.352 |
2.37 |
6.25 |
7.81 |
9.35 |
11.3 |
16.3 |
|
4 |
0.484 |
0.711 |
3.36 |
7.78 |
9.49 |
11.1 |
13.3 |
18.5 |
|
5 |
0.831 |
1.15 |
4.35 |
9.24 |
11.1 |
12.8 |
15.1 |
20.5 |
|
6 |
1.24 |
1.64 |
5.35 |
10.6 |
12.6 |
14.5 |
16.8 |
22.5 |
|
7 |
1.69 |
2.17 |
6.35 |
12.0 |
14.1 |
16.0 |
18.5 |
24.3 |
|
8 |
2.18 |
2.73 |
7.34 |
13.4 |
15.5 |
17.5 |
20.1 |
26.1 |
|
9 |
2.70 |
3.33 |
8.34 |
14.7 |
16.9 |
19.0 |
21.7 |
27.9 |
|
10 |
3.25 |
3.94 |
9.34 |
16.0 |
18.3 |
20.5 |
23.2 |
29.6 |
|
11 |
3.82 |
4.57 |
10.3 |
17.3 |
19.7 |
21.9 |
24.7 |
31.3 |
|
12 |
4.40 |
5.23 |
11.3 |
18.5 |
21.0 |
23.3 |
26.2 |
32.9 |
|
13 |
5.01 |
5.89 |
12.3 |
19.8 |
22.4 |
24.7 |
27.7 |
34.5 |
|
14 |
5.63 |
6.57 |
13.3 |
21.1 |
23.7 |
26.1 |
29.1 |
36.1 |
|
15 |
6.26 |
7.26 |
14.3 |
22.3 |
25.0 |
27.5 |
30.6 |
37.7 |
|
16 |
6.91 |
7.96 |
15.3 |
23.5 |
26.3 |
28.8 |
32.0 |
39.3 |
|
17 |
7.56 |
8.67 |
16.3 |
24.8 |
27.6 |
30.2 |
33.4 |
40.8 |
|
18 |
8.23 |
9.39 |
17.3 |
25.0 |
28.9 |
31.5 |
34.8 |
42.3 |
|
19 |
8.91 |
10.1 |
18.3 |
27.2 |
30.1 |
32.9 |
36.2 |
43.8 |
|
20 |
9.59 |
10.9 |
19.3 |
28.4 |
31.4 |
34.2 |
37.6 |
45.3 |
|
22 |
11.0 |
12.3 |
21.3 |
30.8 |
33.9 |
36.8 |
40.3 |
48.3 |
|
24 |
12.4 |
13. 9 |
23.3 |
33.2 |
36.4 |
39.4 |
43.0 |
51.2 |
|
26 |
13.8 |
15. 4 |
25.3 |
35.6 |
38.9 |
41.9 |
45.6 |
54.1 |
|
28 |
15.3 |
16. 9 |
27.3 |
37.9 |
41.3 |
44.5 |
48.3 |
56.9 |
|
30 |
16.8 |
18.5 |
29.3 |
40.3 |
43.8 |
47.0 |
50.9 |
59.7 |
|
35 |
20.6 |
22.5 |
34.3 |
46.1 |
49.8 |
53.2 |
57.3 |
66.6 |
|
40 |
24.4 |
26. 5 |
39.3 |
51.8 |
55.8 |
59.3 |
63.7 |
73.4 |
|
45 |
28.4 |
30.6 |
44.3 |
57.5 |
61.7 |
65.4 |
70.0 |
80.1 |
|
50 |
32.4 |
34. 8 |
49.3 |
63.2 |
67.5 |
71.4 |
76.2 |
86.7 |
|
55 |
36.4 |
39.0 |
54.3 |
68.8 |
73.3 |
77.4 |
82.3 |
93.2 |
|
60 |
40.5 |
43. 2 |
59.3 |
74.4 |
79.1 |
83.3 |
88.4 |
99.7 |
