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scipy.stats.

# zmap

scipy.stats.zmap(scores, compare, axis=0, ddof=0, nan_policy='propagate')

  Calculate the relative z-scores.

  Return an array of z-scores, i.e., scores that are standardized to zero mean and unit variance, where mean and variance are calculated from the comparison array.

  Parameters:
    scores array_like

      The input for which z-scores are calculated.

    compare array_like

      The input from which the mean and standard deviation of the normalization are taken; assumed to have the same dimension as scores.

    axis int or None, optional

      Axis over which mean and variance of compare are calculated. Default is 0. If None, compute over the whole array scores.

    ddof int, optional

      Degrees of freedom correction in the calculation of the standard deviation. Default is 0.

    nan_policy{‘propagate’, ‘raise’, ‘omit’}, optional

      Defines how to handle the occurrence of nans in compare. ‘propagate’ returns nan, ‘raise’ raises an exception, ‘omit’ performs the calculations ignoring nan values. Default is ‘propagate’. Note that when the value is ‘omit’, nans in scores also propagate to the output, but they do not affect the z-scores computed for the non-nan values.

  Returns:
    zscore array_like

      Z-scores, in the same shape as scores.

  Notes

  This function preserves ndarray subclasses, and works also with matrices and masked arrays (it uses asanyarray instead of asarray for parameters).

  `zmap` has experimental support for Python Array API Standard compatible backends in addition to NumPy. Please consider testing these features by setting an environment variable `SCIPY_ARRAY_API=1` and providing CuPy, PyTorch, JAX, or Dask arrays as array arguments. The following combinations of backend and device (or other capability) are supported.

  Library | CPU | GPU
  --- | --- | ---
  NumPy | ✅ | n/a
  CuPy | n/a | ✅
  PyTorch | ✅ | ✅
  JAX | ✅ | ✅
  Dask | ✅ | n/a

  See Support for the array API standard for more information.

  Examples

      >>> from scipy.stats import zmap
      >>> a = [0.5, 2.0, 2.5, 3]
      >>> b = [0, 1, 2, 3, 4]
      >>> zmap(a, b)
      array([-1.06066017,  0.        ,  0.35355339,  0.70710678])