Chi Square Distribution Graph. χ2 z1 2 z2 2 zk 2 the curve is nonsymmetrical and skewed to the right. This is the value of χ 2 that will give the specified p value for the chi square distribution.
The standard deviation of the chi square distribution is twice the mean. This is the value of χ 2 that will give the specified p value for the chi square distribution. The chi square distribution is a special case of the gamma distribution and is one of the most widely used probability distributions in inferential statistics notably.
The chi square distribution s pdf curve is skewed to the right has a disproportionately long tail on the right side as shown in the above graph.
K does not have to be an integer and can be any positive real number. χ 2 chiinv p ν. Chi square distribution i v e d i s t r i b u t i o n p x ν x 0 f t ν d t 3 u p p e r c u m u l a t i v e d i s t r i b u t i o n q x ν x f t ν d t c h i s q u a r e d d i s t r i b u t i o n x 2 x ν 1 p r o b a b i l i t y d e n s i t y f x ν x ν 2 1 e x 2 2 ν 2 γ ν 2 2 l o w e r c u m u l a t. See a table of selected percentiles of the chi square distribution computed using the javascript calculation engine behind this page.