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This question is posed to Jean-Baptiste Poline and concerns your recent
technical note on the problem of correlations between covariates (Andrade et
al., NeuroImage 10:483, 1999).   You  propose a method to remove the correlation
between conditions and task performance that occurr when  task performance
increases across scan conditions. I understand the problem, but not the
solution.  

1) Could you explain why your method keeps the effects that are common to both
the condition and the peformance covariate from being removed from the general
linear equation ?  The method you propose does not remove the correlation
between the condition covariate and the performance covariate, nor does it alter
the slope of the regression between the two covariates.   All it does is add a
scaling factor to the regression, i.e. the regression equation between the two
covariates now has a non-zero intercept.  I do not understand why this
procedure, therefore, removes redundancies between the covariates ?


2) Could you explain why only changing the values of the performance covariate
only changes the contrasts assocatiated with the condition covariate.
Presumably, your procedure restores effects common to the both covariates to the
performance covariate as well as the condition covariate.

3)  Was a condition-specific fit used for the performance variable in either the
original model (M) or the model with the modified performance covariates (M*).

Thanks

sg



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