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Updated: Feb 4, 2026

Basics of Multivariate Analysis in Neuroimaging Data
Published on: July 24, 2010
How to control for confounds in decoding analyses of neuroimaging data
Lukas Snoek1, Steven Miletić2, H Steven Scholte1
1University of Amsterdam, Department of Psychology (Brain and Cognition), Amsterdam, the Netherlands; Spinoza Centre for Neuroimaging, Amsterdam, the Netherlands.
Multivariate decoding analyses in neuroimaging are prone to bias from confounding variables. Cross-validated confound regression effectively controls these confounds, providing reliable insights into decoding performance.
Area of Science:
- Neuroimaging
- Machine Learning
- Statistical Analysis
Background:
- Multivariate decoding analyses are increasingly used in neuroimaging, offering an alternative to mass-univariate methods.
- A key limitation is identifying the specific information source driving decoding performance, especially when confounds are present.
- Confounding variables can obscure the true interpretation of decoding results in neuroimaging studies.
Purpose of the Study:
- To evaluate the effectiveness of post hoc counterbalancing and confound regression in controlling for confounding variables in decoding analyses.
- To assess the biases introduced by these methods using both simulations and empirical neuroimaging data.
- To identify a reliable method for controlling confounds in decoding analyses to improve the interpretability of neuroimaging findings.
Main Methods:
- The study employed comprehensive simulations and analyses of empirical structural MRI data.
- Two methods for controlling confounds were evaluated: post hoc counterbalancing and confound regression.
- The impact of performing confound regression within each cross-validation fold was specifically investigated.
Main Results:
- Post hoc counterbalancing introduced a positive bias, inflating decoding performance.
- Standard confound regression resulted in a negative bias, sometimes yielding below-chance performance.
- Performing confound regression within each cross-validation fold eliminated bias and produced plausible decoding performance in both simulations and empirical data.
Conclusions:
- Post hoc counterbalancing and standard confound regression are unreliable for controlling confounds in decoding analyses.
- Cross-validated confound regression is a robust method for appropriately controlling for confounding variables in neuroimaging decoding.
- This validated approach enables more accurate insights into the specific information driving decoding performance in neuroimaging research.
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