# circcorrcoef¶

`astropy.stats.``circcorrcoef`(alpha, beta, axis=None, weights_alpha=None, weights_beta=None)[source]

Computes the circular correlation coefficient between two array of circular data.

Parameters
alpha

Array of circular (directional) data, which is assumed to be in radians whenever `data` is `numpy.ndarray`.

beta

Array of circular (directional) data, which is assumed to be in radians whenever `data` is `numpy.ndarray`.

axis`int`, optional

Axis along which circular correlation coefficients are computed. The default is the compute the circular correlation coefficient of the flattened array.

weights_alpha`numpy.ndarray`, optional

In case of grouped data, the i-th element of `weights_alpha` represents a weighting factor for each group such that `sum(weights_alpha, axis)` equals the number of observations. See , remark 1.4, page 22, for detailed explanation.

weights_beta`numpy.ndarray`, optional

See description of `weights_alpha`.

Returns
rho

Circular correlation coefficient.

References

1

S. R. Jammalamadaka, A. SenGupta. “Topics in Circular Statistics”. Series on Multivariate Analysis, Vol. 5, 2001.

2

C. Agostinelli, U. Lund. “Circular Statistics from ‘Topics in Circular Statistics (2001)’”. 2015. <https://cran.r-project.org/web/packages/CircStats/CircStats.pdf>

Examples

```>>> import numpy as np
>>> from astropy.stats import circcorrcoef
>>> from astropy import units as u
>>> alpha = np.array([356, 97, 211, 232, 343, 292, 157, 302, 335, 302,
...                   324, 85, 324, 340, 157, 238, 254, 146, 232, 122,
...                   329])*u.deg
>>> beta = np.array([119, 162, 221, 259, 270, 29, 97, 292, 40, 313, 94,
...                  45, 47, 108, 221, 270, 119, 248, 270, 45, 23])*u.deg
>>> circcorrcoef(alpha, beta)
<Quantity 0.2704648826748831>
```