Math2.org Math Tables:
chi^2-distributions
(
Math
)
The
-distribution, with n degrees of freedom, is given by the equation:
The area within an interval (a,
) is
(See also
Gamma function
)
-distribution, with n degrees of freedom, is given by the equation:
![\[ f(\chi^2) = (\chi^2)<sup>-1</sup> \exp(-\frac{1}{2}\chi^2) 2<sup>{2}</sup> \frac{1}{\Gamma(\frac{n}{2})} \]](/math/tex/837bae4e9e04c9bdb214606b964771b6.png "\[ f(\chi^2) = (\chi^2)<sup>-1</sup> \exp(-\frac{1}{2}\chi^2) 2<sup>{2}</sup> \frac{1}{\Gamma(\frac{n}{2})} \]")
) is
![\[ \int_a^\infty f(\chi^2) \, d\chi^2 = \frac{\Gamma(\frac{n}{2}, \frac{a}{2})}{\Gamma(\frac{n}{2})} \]](/math/tex/17d4cc62c7ef73c50517a44d638c6bc1.png "\[ \int_a^\infty f(\chi^2) \, d\chi^2 = \frac{\Gamma(\frac{n}{2}, \frac{a}{2})}{\Gamma(\frac{n}{2})} \]")
(See also 