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3.5.3.3.2 Chi2inv
Definition:
/math-8171dc8b64c7162c51dee299934b8c8b.png?v=0 "xp = chi2inv( p, df)")
computes the inverse of the /math-9ca61f458c78bb5591d04aaaa14da0e7.png?v=0 "\chi^2")
cdf for the corresponding probabilities in /math-02129bb861061d1a052c592e2dc6b383.png?v=0 "X")
with parameters specified by /math-4fdefba26320686bb2bd0579a0df421c.png?v=0 "\nu")
.
The deviate,/math-f5e81d79b535c85746763245f006f7b5.png?v=0 "x_p")
, associated with the lower tail probability /math-83878c91171338902e0fe0fb97a8c47a.png?v=0 "p")
of the distribution with degrees
of freedom is defined as the solution to
/math-a5acc3c3f591db7e52ab0b6622aafcda.png?v=0 "P(X\leq x_p)=p=\frac 1{2^{\nu /2}\Gamma (\nu /2)}\int_0^{x_p}X^{\nu /2-1}e^{X/2}dX")
where
/math-61595e09611e58ef91e48a7c88487827.png?v=0 "x_p\geq 0;\nu >0")
Parameters:
- (input, double)
- the probability, , from the required distribution.
/math-5c65da5193366ff858131d78c652f2f3.png?v=0 "0 \le p<1")
/math-eff7d5dba32b4da32d9a67a519434d3f.png?v=0 "df")
(input,double)- the degrees of freedom, , of the distribution,
/math-cf7f4e6fdeb8632824117304d5917d9b.png?v=0 "df>0")
. /math-f68da8654869bb3e3dde70ae7d530164.png?v=0 "xp")
(output, double)- the deviate,.