[Eeglablist] How can I figure out correlation between original data and reconstructed data

[Arnaud Delorme]

Dear Dr. Jung,

>I'd like to know how correlate between original data and reconstructed data
>of decomposed independent component
>in continuous EEG data, not epoched data.
>  
>
You may use corrcoef() to compute the correlation for each scalp 
channel. For instance to compute the correlation between channel 1 after 
removing artifactual components (i.e., blink component 3) of the 
tutorial dataset (ALLEEG(2)) compared to the raw data (ALLEEG(1)).

chan =1;
tmp = corrcoef(ALLEEG(2).data(chan,:),ALLEEG(1).data(chan,:))
tmp(2) % contains the correlation factor.

You may then average across all data channels. Another measure is the 
relative variance

1-var(ALLEEG(2).data(chan,:))/var(ALLEEG(1).data(chan,:))

A last measure, that we judge to be more precise than the percentage of 
variance, is the percentage variance accounted for. This is the measure 
we prefer using because it tells us how much of the variance in the 
original signal a group of component account for. Basically for each channel

var(ALLEEG(1).data(chan,:)-ALLEEG(2).data(chan,:))/var(ALLEEG(1).data(chan,:))

Once more, you may then average across all data channels.

Hope this help,

Arno