# scipy.special.ncfdtrinc¶

scipy.special.ncfdtrinc(dfn, dfd, p, f) = <ufunc 'ncfdtrinc'>

Calculate non-centrality parameter for non-central F distribution.

This is the inverse with respect to nc of ncfdtr. See ncfdtr for more details.

Parameters: dfn : array_like Degrees of freedom of the numerator sum of squares. Range (0, inf). dfd : array_like Degrees of freedom of the denominator sum of squares. Range (0, inf). p : array_like Value of the cumulative distribution function. Must be in the range [0, 1]. f : array_like Quantiles, i.e. the upper limit of integration. nc : float Noncentrality parameter.

ncfdtr
CDF of the non-central F distribution.
ncfdtri
Quantile function; inverse of ncfdtr with respect to f.
ncfdtridfd
Inverse of ncfdtr with respect to dfd.
ncfdtridfn
Inverse of ncfdtr with respect to dfn.

Examples

>>> from scipy.special import ncfdtr, ncfdtrinc


Compute the CDF for several values of nc:

>>> nc = [0.5, 1.5, 2.0]
>>> p = ncfdtr(2, 3, nc, 15)
>>> p
array([ 0.96309246,  0.94327955,  0.93304098])


Compute the inverse. We recover the values of nc, as expected:

>>> ncfdtrinc(2, 3, p, 15)
array([ 0.5,  1.5,  2. ])


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