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wcenter

center and weight

Syntax

s = wcenter(x)
s = wcenter(x, orientation)

Arguments

x: real or complex vector or matrix

orientation

index of the dimension along which the wcenter is computed. It can be either

  • a character "*" (default), "r" or "c"
  • a positive integer: 1 or 2. 1 is equivalent to "r" and 2 is equivalent to "c".
s

real or complex scalar or vector

Description

This function computes s, the weighted and centred version of the numerical matrix x.

For a vector or a matrix x, s = wcenter(x) or s = wcenter(x, "*") returns in the (i,j) coefficient of the matrix s the value (x(i,j)-xbar)/sigma, where xbar is the mean of the values of the coefficients of x and sigma his standard deviation.

s = wcenter(x, 'r') (or, equivalently, s = wcenter(x, 1)) is the rowwise centre reduction of the values of x. It returns in the entry s(i,j) the value (x(i,j)-xbarv(j))/sigmav(j) with xbarv(j) the mean of the values of the j column and sigmav(j) the standard deviation of the j column of x.

s = wcenter(x, 'c') (or, equivalently, s = wcenter(x, 2)) is the columnwise centre reduction of the values of x. It returns in the entry s(i,j) the value (x(i,j)-xbarh(i))/sigmah(i) with xbarh(i) the mean of the values of the i row and sigmah(i) the standard deviation of the i row of x.

Examples

x=[0.2113249 0.0002211 0.6653811;
   0.7560439 0.3303271 0.6283918]
s = wcenter(x)
s = wcenter(x,'r')
s = wcenter(x,'c')

See also

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Last updated:
Mon Jun 17 17:52:28 CEST 2024