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# scipy.stats.mstats.compare_medians_ms

scipy.stats.mstats.compare_medians_ms(group_1, group_2, axis=None)

  Compares the medians from two independent groups along the given axis.

  The comparison is performed using the McKean-Schrader estimate of the standard error of the medians.

  Parameters:
    group_1 array_like

      First dataset. Has to be of size >=7.

    group_2 array_like

      Second dataset. Has to be of size >=7.

    axis int, optional

      Axis along which the medians are estimated. If None, the arrays are flattened. If axis is not None, then group_1 and group_2 should have the same shape.

  Returns:
    compare_medians_ms{float, ndarray}

      If axis is None, then returns a float, otherwise returns a 1-D ndarray of floats with a length equal to the length of group_1 along axis.

  References

  [1]

  McKean, Joseph W., and Ronald M. Schrader. “A comparison of methods for studentizing the sample median.” Communications in Statistics-Simulation and Computation 13.6 (1984): 751-773.

  Examples

      >>> from scipy import stats
      >>> a = [1, 2, 3, 4, 5, 6, 7]
      >>> b = [8, 9, 10, 11, 12, 13, 14]
      >>> stats.mstats.compare_medians_ms(a, b, axis=None)
      1.0693225866553746e-05

  The function is vectorized to compute along a given axis.

      >>> import numpy as np
      >>> rng = np.random.default_rng()
      >>> x = rng.random(size=(3, 7))
      >>> y = rng.random(size=(3, 8))
      >>> stats.mstats.compare_medians_ms(x, y, axis=1)
      array([0.36908985, 0.36092538, 0.2765313 ])