About this calculator
What the chi-square distribution is for
The chi-square (χ²) distribution is used for goodness-of-fit tests, tests of independence, and inference about a variance. It starts at 0 and is skewed right; as the degrees of freedom increase, it spreads out and becomes more symmetric.
Chi-square tests are almost always right-tailed: the p-value is the area to the right of the test statistic, and the critical value has α to its right.