Programmer Guide/Command Reference/EVAL/corr: Difference between revisions
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---- | ---- | ||
;Usage 1: '''<code>var(''x''<sub>vector</sub>, ''y''<sub>vector</sub>)</code>''' | ;Usage 1: '''<code>var(''x''<sub>vector</sub>, ''y''<sub>vector</sub>)</code>''' | ||
;Result 1: The correlecation coefficient ''r'' (product moment correlation) of the vectors ''x'' and ''y''. | ;Result 1: The correlecation coefficient ''r'' (product-moment correlation) of the vectors ''x'' and ''y''. | ||
:<code>''r'' = var(''x'', ''y'') / sqrt( var(''x'')* var(''y'') )</code> | :<code>''r'' = var(''x'', ''y'') / sqrt( var(''x'') * var(''y'') )</code> | ||
---- | ---- | ||
;Usage | ;Usage 2: '''<code>var(''x''<sub>matrix</sub>)</code>''' | ||
:'''<code>var(''x''<sub>matrix</sub>, ''y''<sub>scalar</sub>)</code>''' | :'''<code>var(''x''<sub>matrix</sub>, ''y''<sub>scalar</sub>)</code>''' | ||
:'''<code>var(''x''<sub>matrix</sub>, ''y''<sub>vector</sub>)</code>''' | :'''<code>var(''x''<sub>matrix</sub>, ''y''<sub>vector</sub>)</code>''' | ||
;Result | ;Result 2: The correlation matrix ''r'' of the column vectors of ''x''. | ||
:<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: | :The column averages a<sub>i=0..ncol(''x'')</sub> are computed as follows: | ||
::{|class="einrahmen" | ::{|class="einrahmen" |
Revision as of 13:51, 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
- The column averages ai=0..ncol(x) are computed as follows:
y not supplied ai = avr(x*,i) yscalar ai = y yvector ai = yi
corr
The product moment correlation of the vector xv and yv.
Usage:
corr(xv,yv)
Return Type:
scalar