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FSL  February 2011

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Subject:

Re: correlated variables in randomise

From:

Thomas Nichols <[log in to unmask]>

Reply-To:

FSL - FMRIB's Software Library <[log in to unmask]>

Date:

Sun, 20 Feb 2011 10:56:16 +0100

Content-Type:

text/plain

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text/plain (46 lines)

Paul,

Steve Smith & I are debating the interpretation of this. Would you be
able to send the design matrix and con file, and one extracted "time
course" that demonstates this effect? (or if it's easier, use the
FMRIB upload URL to send us the complete data.)

-Tom

On Saturday, February 19, 2011, Paul Borghesani <[log in to unmask]> wrote:
> Hi -
>
> I've been using TBSS/randomise to explore the the association between cognition and white matter structure.  I've noticed that when I put two highly correlated variables into the model (e.g., immediate and delayed recall abilities - which unsurprisingly have an R value between 0.6 and 0.8) that I often get surprising amounts of significant voxels.
>
> For instance - with 162 FA maps from subjects of varying ages.
> If delayed recall, age and gender are modeled in randomise the corrected t-stat map for delayed recall is entirely insignificant.
> If immediate recall, age and gender are modeled in randomise the corrected t-stat map for immediate recall is entirely insignificant
>
> However,
> If both immediate and delayed recall, age and gender are modeled in randomise numerous voxels in both the immediate and delayed recall t-stat maps become significant
>
> FYI - age and gender typically have significant voxels in this sample.
>
> I recognize that interpreting what immediate recall means when one "controls for" delayed recall is quite ambiguous, so I am not suggesting this is a "good" model.  However, I was curious about the randomise results.  Does randomise produce accurate t/p-values if two correlated covariates are included in the model? Should I not be including more than one continuos covariate when using randomise?  Should I believe these somewhat surprising results?
>
> Thanks for the help.
>
> Sincerely,
>
> Paul Borghesani
> University of Washington
>

-- 
____________________________________________
Thomas Nichols, PhD
Principal Research Fellow, Head of Neuroimaging Statistics
Department of Statistics & Warwick Manufacturing Group
University of Warwick
Coventry  CV4 7AL
United Kingdom

Email: [log in to unmask]
Phone, Stats: +44 24761 51086, WMG: +44 24761 50752
Fax:  +44 24 7652 4532

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