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Chi Square table
Explanations
> Social Research > Analysis
> Chi Square table
The Chi Square test gives a value for X2 that can be converted to
Chi Square (c2), in the table below. This
can then be used to determine whether there is a significant difference from the null hypothesis
or whether the the results support the null hypothesis.
- Select the column with probability that you want.
- eg. 0.05 means '95% chance'
- Select the row for degrees of freedom.
- This is usually n-1, where n is the number of items in the group. For a
table, it is (R-1)(C-1), where R and C are the numbers of rows and columns
respectively.
- Compare the chi-squared value in the cell with your calculated X2 value.
- If the X2 value is greater than the 0.05, 0.01 or 0.001
column, then the goodness-of-fit null hypothesis can be rejected.
- If the X2 value is less than or equal to the 0.99 or
0.95 column, then the independence null hypothesis can be rejected.
| Degrees of
Freedom |
Probability,
p |
| 0.99 |
0.95 |
0.05 |
0.01 |
0.001 |
| 1 |
0.000 |
0.004 |
3.84 |
6.64 |
10.83 |
| 2 |
0.020 |
0.103 |
5.99 |
9.21 |
13.82 |
| 3 |
0.115 |
0.352 |
7.82 |
11.35 |
16.27 |
| 4 |
0.297 |
0.711 |
9.49 |
13.28 |
18.47 |
| 5 |
0.554 |
1.145 |
11.07 |
15.09 |
20.52 |
| 6 |
0.872 |
1.635 |
12.59 |
16.81 |
22.46 |
| 7 |
1.239 |
2.167 |
14.07 |
18.48 |
24.32 |
| 8 |
1.646 |
2.733 |
15.51 |
20.09 |
26.13 |
| 9 |
2.088 |
3.325 |
16.92 |
21.67 |
27.88 |
| 10 |
2.558 |
3.940 |
18.31 |
23.21 |
29.59 |
| 11 |
3.05 |
4.58 |
19.68 |
24.73 |
31.26 |
| 12 |
3.57 |
5.23 |
21.03 |
26.22 |
32.91 |
| 13 |
4.11 |
5.89 |
22.36 |
27.69 |
34.53 |
| 14 |
4.66 |
6.57 |
23.69 |
29.14 |
36.12 |
| 15 |
5.23 |
7.26 |
25.00 |
30.58 |
37.70 |
| 16 |
5.81 |
7.96 |
26.30 |
32.00 |
39.25 |
| 17 |
6.41 |
8.67 |
27.59 |
33.41 |
40.79 |
| 18 |
7.02 |
9.39 |
28.87 |
34.81 |
42.31 |
| 19 |
7.63 |
10.12 |
30.14 |
36.19 |
43.82 |
| 20 |
8.26 |
10.85 |
31.41 |
37.57 |
45.32 |
| 21 |
8.90 |
11.59 |
32.67 |
38.93 |
46.80 |
| 22 |
9.54 |
12.34 |
33.92 |
40.29 |
48.27 |
| 23 |
10.20 |
13.09 |
35.17 |
41.64 |
49.73 |
| 24 |
10.86 |
13.85 |
36.42 |
42.98 |
51.18 |
| 25 |
11.52 |
14.61 |
37.65 |
44.31 |
52.62 |
| 26 |
12.20 |
15.38 |
38.89 |
45.64 |
54.05 |
| 27 |
12.88 |
16.15 |
40.11 |
46.96 |
55.48 |
| 28 |
13.57 |
16.93 |
41.34 |
48.28 |
56.89 |
| 29 |
14.26 |
17.71 |
42.56 |
49.59 |
58.30 |
| 30 |
14.95 |
18.49 |
43.77 |
50.89 |
59.70 |
See also
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