Programmer Guide/Command Reference/EVAL/corr: Difference between revisions

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;Result 2: The correlation matrix ''r'' of the column vectors of ''x''.  
;Result 2: The correlation matrix ''r'' of the column vectors of ''x''.  
:<code>''r''[i,j] = var(''x[*,i]'', ''x''[*,j]) / sqrt( var(''x''[*,i]) * var(''x''[*,j]) ) , with: i,j = 0..ncol(''x'')-1</code>
:<code>''r''[i,j] = var(''x[*,i]'', ''x''[*,j]) / sqrt( var(''x''[*,i]) * var(''x''[*,j]) ) , with: i,j = 0..ncol(''x'')-1</code>
:The column averages a<sub>i=0..ncol(''x'')</sub> are computed as follows:
:If the argument ''y'' is supplied, it is used as column average like for the computation of the [[Programmer_Guide/Command_Reference/EVAL/var|covariance matrix]].
::{|class="einrahmen"
|''y'' not supplied || a<sub>i</sub> = avr(''x''<sub>*,i</sub>)
|-
|''y''<sub>scalar</sub> || a<sub>i</sub> = ''y''
|-
|''y''<sub>vector</sub> || a<sub>i</sub> = ''y''<sub>i</sub>
|-
|}


;See also: [[Programmer_Guide/Command_Reference/EVAL/avr|avr]], [[Programmer_Guide/Command_Reference/EVAL/dev|dev]], [[Programmer_Guide/Command_Reference/EVAL/corr|corr]]
;See also: [[Programmer_Guide/Command_Reference/EVAL/avr|avr]], [[Programmer_Guide/Command_Reference/EVAL/dev|dev]], [[Programmer_Guide/Command_Reference/EVAL/var|var]]


[[Programmer_Guide/Command_Reference/EVAL#Functions|<function list>]]
[[Programmer_Guide/Command_Reference/EVAL#Functions|<function list>]]
{{DISPLAYTITLE:{{SUBPAGENAME}}}}
=====corr=====
The product moment correlation of the vector <var>x</var>v and <var>y</var>v.
=====Usage:=====
<code>corr(<var>x</var>v,<var>y</var>v)</code>
=====Return Type:=====
scalar

Revision as of 14:05, 8 April 2011

Compute the correlation coefficient or the correlcation matrix.


Usage 1
var(xvector, yvector)
Result 1
The correlecation coefficient r (product-moment correlation) of the vectors x and y.
r = var(x, y) / sqrt( var(x) * var(y) )

Usage 2
var(xmatrix)
var(xmatrix, yscalar)
var(xmatrix, yvector)
Result 2
The correlation matrix r of the column vectors of x.
r[i,j] = var(x[*,i], x[*,j]) / sqrt( var(x[*,i]) * var(x[*,j]) ) , with: i,j = 0..ncol(x)-1
If the argument y is supplied, it is used as column average like for the computation of the covariance matrix.
See also
avr, dev, var

<function list>

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