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XMM-Newton Science Analysis System


ssclib (ssclib-3.33.4) [xmmsas_20080701_1801-8.0.0]

Meta Index / Home Page / Poissonian statistics and source

Integrated $\chi ^2$ probability

This subroutine gives the probability $P_\chi(\chi^2; \nu)$ of exceeding $\chi ^2$ for a given number of degrees of freedom $\nu$, i.e., the single-sided integrated probability, where $P_x(x^2; \nu)$ is the $\chi ^2$ probability distribution function (e.g., see Appendix C.4 in Bevington & Robinson (1992, ``Data reduction and error analysis for the physical sciences'', 2nd edition)).

  subroutine integratedChi2Prob(chi2, degFree, probability, status)
    real(single), intent(in)            :: chi2
    integer,      intent(in)            :: degFree   ! or real(single)
    real(single), intent(out)           :: probability
    integer,      intent(out), optional :: status
  end subroutine integratedChi2Prob

The optional argument status is returned as follows;

Status	Description
$n (n>0)$	(status in incompleteGammaQ; see math_utils, Section 18)
0	Normal end
-1	When the given chi2 $\leq 0$
-2	When the given degFree $\leq 0$
$n (n<-2)$	((status in incompleteGammaQ) $- 2$; see math_utils, Section 18)