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# scipy.cluster.hierarchy.inconsistent

`scipy.cluster.hierarchy.``inconsistent`(Z, d=2)

  Calculates inconsistency statistics on a linkage matrix.

  Parameters: | Z : ndarray The \((n-1)\) by 4 matrix encoding the linkage (hierarchical clustering). See `linkage` documentation for more information on its form. d : int, optional The number of links up to d levels below each non-singleton cluster.
  Returns: | R : ndarray A \((n-1)\) by 5 matrix where the `i`‘th row contains the link statistics for the non-singleton cluster `i`. The link statistics are computed over the link heights for links \(d\) levels below the cluster `i`. `R[i,0]` and `R[i,1]` are the mean and standard deviation of the link heights, respectively; `R[i,2]` is the number of links included in the calculation; and `R[i,3]` is the inconsistency coefficient, \[\frac{\mathtt{Z[i,2]} - \mathtt{R[i,0]}} {R[i,1]}\]

  Notes

  This function behaves similarly to the MATLAB(TM) `inconsistent` function.