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Chi Square table

 

Explanations > Social ResearchAnalysis > 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

 

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