Chi-Square Step-By-Step

Step 1: Enter your observed frequencies and click the button to calculate the marginal sums.




Step 2: Click on the button to calculate the expected frequencies.



Step 3: Click on the button to calculate the differences between the observed and the expected frequencies (actually, the squared differences, expressed as proportions of the expected frequencies).



 

© 2004 Anatol Stefanowitsch
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Step 4: Click on the button to calculate the Chi-Square value for your distribution (i.e., the sum of the differences from step 3).

Chi Square:

Now look up your Chi-Square value in the following table to determine whether it is statistically significant.

df 5.0% 1.0% 0.1%
1 3.841 6.635 10.828