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The madc function is a scale estimator given by the Median Absolute Deviation (with finite sample correction factor). It is defined as:

madc(x)= b_n 1.4826 med(|x_i - med(x)|)

with b_n a small sample correction factor to make the mad unbiased at the normal distribution. It can resist 50% outliers. If x is a matrix, the scale estimate is computed on the columns of x. The result is then a row vector. If x is a row or a column vector, the output is a scalar.

This function is part of LIBRA: the Matlab Library for Robust Analysis, available at:
Written by S.Verboven


result = madc(x);


  • x either a data matrix with n observations in rows, p variables in columns or a column vector of length n.

See Also

auto, box_filter, datafit_engine, windowfilter