# scipy.special.nctdtrit#

scipy.special.nctdtrit(df, nc, p, out=None) = <ufunc 'nctdtrit'>#

Inverse cumulative distribution function of the non-central t distribution.

See `nctdtr` for more details.

Parameters:
dfarray_like

Degrees of freedom of the distribution. Should be in range (0, inf).

ncarray_like

Noncentrality parameter. Should be in range (-1e6, 1e6).

parray_like

CDF values, in range (0, 1].

outndarray, optional

Optional output array for the function results

Returns:
tscalar or ndarray

Quantiles

`nctdtr`

CDF of the non-central t distribution.

`nctdtridf`

Calculate degrees of freedom, given CDF and iCDF values.

`nctdtrinc`

Calculate non-centrality parameter, given CDF iCDF values.

Examples

```>>> from scipy.special import nctdtr, nctdtrit
```

Compute the CDF for several values of t:

```>>> t = [0.5, 1, 1.5]
>>> p = nctdtr(3, 1, t)
>>> p
array([0.29811049, 0.46922687, 0.6257559 ])
```

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

```>>> nctdtrit(3, 1, p)
array([0.5, 1. , 1.5])
```