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The following table shows the notation used in this topic.
| Notation | Description |
|---|---|
 | Observed frequency in row i, column j. This value is weighted in a weighted table, unweighted in an unweighted table. |
 | Number of rows contributing to the test. |
 | Number of columns contributing to the test. |
 | The total in row i:  |
 | The total in column j:  |
 | The total in the table or section of the table being tested:  |
 | The expected value in the table or section of the table being tested:
 |
where, for Pearson's formula:
and for the Yates' correction:
The degrees of freedom are:
For details of Fisher's exact test, see Appendix 5, p562-564, SPSS 7.5 Statistical Algorithms (1997), Chicago, IL: SPSS Inc. ISBN 1-56827-185-9.