# 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
dfnarray_like

Degrees of freedom of the numerator sum of squares. Range (0, inf).

dfdarray_like

Degrees of freedom of the denominator sum of squares. Range (0, inf).

parray_like

Value of the cumulative distribution function. Must be in the range [0, 1].

farray_like

Quantiles, i.e., the upper limit of integration.

Returns
ncfloat

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. ])
```