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Physical Sciences and Mathematics Commons

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Statistics and Probability

Brigham Young University

Theses/Dissertations

2005

Covariance Structure

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Full-Text Articles in Physical Sciences and Mathematics

Performance Of Aic-Selected Spatial Covariance Structures For Fmri Data, David A. Stromberg Jul 2005

Performance Of Aic-Selected Spatial Covariance Structures For Fmri Data, David A. Stromberg

Theses and Dissertations

FMRI datasets allow scientists to assess functionality of the brain by measuring the response of blood flow to a stimulus. Since the responses from neighboring locations within the brain are correlated, simple linear models that assume independence of measurements across locations are inadequate. Mixed models can be used to model the spatial correlation between observations, however selecting the correct covariance structure is difficult. Information criteria, such as AIC are often used to choose among covariance structures. Once the covariance structure is selected, significance tests can be used to determine if a region of interest within the brain is significantly active. …