Name

variancef — standard deviation of the values of a vector or matrix

Calling Sequence

s=variancef(x,fre)
s=variancef(x,fre,'r') or s=variancef(x,fre,1)
s=variancef(x,fre,'c') or s=variancef(x,fre,2)

Parameters

x

real or complex vector or matrix

Description

This function computes the variance of the values of a vector or matrix x, each of them counted with a frequency signaled by the corresponding values of the integer vector or matrix fre with the same type of x.

For a vector or matrix x, s=variancef(x,fre) (or s=variancef(x,fre,'*')) returns in scalar s the variance of all the entries of x, each value counted with the multiplicity indicated by the corresponding value of fre.

s=variancef(x,fre,'r')(or, equivalently, s=variancef(x,fre,1)) returns in each entry of the row vector s of type 1xsize(x,'c') the variance of each column of x, each value counted with the multiplicity indicated by the corresponding value of fre.

s=variancef(x,fre,'c')(or, equivalently, s=variancef(x,fre,2)) returns in each entry of the column vector s of type size(x,'c') x1 the variance of each row of x, each value counted with the multiplicity indicated by the corresponding value of fre.

Examples

 
x=[0.2113249 0.0002211 0.6653811;0.7560439 0.9546254 0.6283918]
fre=[1 2 3;3 4 3]
m=variancef(x,fre)
m=variancef(x,fre,'r')
m=variancef(x,fre,'c')

Authors

Carlos Klimann

Bibliography

Wonacott, T.H. & Wonacott, R.J.; Introductory Statistics, fifth edition, J.Wiley & Sons, 1990.