Chi Square Distribution Formula. The value x such that the right tail of the chi square distribution with area α occurs at x. χ 2 o e 2 e.
For example cell 1 male full stop. Q χ 2 k or q χ k 2. More generally if chi i 2 are independently distributed according to a chi 2 distribution with r 1 r 2 r k degrees of freedom then sum j 1 kchi j 2 2 is distributed according to chi 2 with.
This makes a chi 2 distribution a gamma distribution with theta 2 and alpha r 2 where r is the number of degrees of freedom.
For example cell 1 male full stop. This makes a chi 2 distribution a gamma distribution with theta 2 and alpha r 2 where r is the number of degrees of freedom. The actual counts are from observations the expected counts are typically determined from probabilistic or other mathematical models. X ge 0 where γ is the gamma function defined above and γ is the incomplete gamma function.
