e-Statistics > 4470-5470 Probability and Statistics I

Chi-square distribution

The chi-square distribution has the number of degrees of freedom (df) = . The curve lies on the positive line, and its shape is skewed to the right particularly when df is small. The value $ x_p$ at the quantile function $ Q(p)$ is numerically obtained as follows:

$ x_p =$ $ \Leftrightarrow$ $ P(X \le x_p) =$

Here $ X$ has a chi-square distribution.

Chi-square distribution table contains the selected quantiles in a useful form of table.