Chi-Square Distribution Table
The chi-square table provides critical values for the chi-square distribution, which is commonly used in tests of independence, goodness of fit tests, and testing hypotheses about population variance.
How to Use the Chi-Square Table
- Locate your degrees of freedom (df) in the leftmost column
- Choose the desired significance level (α) from the column headers
- The intersection gives you the critical chi-square value
- Hover over any value to see the corresponding area in the distribution chart
Important Notes
- The table shows right-tail critical values
- For goodness of fit tests: df = number of categories - 1
- For independence tests: df = (rows - 1) × (columns - 1)
- The chi-square distribution is always right-skewed, but becomes more symmetric as df increases
- All chi-square values are non-negative since they're based on squared differences